Class '! IVoiC i. 
 Book , H 7 , 
 

 >.'■■ 
 
HANDBOOK 
 
 FOR 
 
 HEATIM AND YENTILATIM 
 ENGINEEES 
 
 JAMES D.%OFFMAN, M. E. 
 
 PBOFESSOR OF MECHANICAL ENGINEERING AND PRACTICAJ/ 
 
 MECHANICS, UNIVERSITY OF NEBRASKA 
 
 MEMBER AND PAST PRESIDENT A. 8. H. A V. E. 
 
 MEMBER A. S. M. E. 
 
 ASSISTflD BY 
 
 ' BENEDICT P^^RABER, B. S., M. E. 
 
 ASSISTANT PROFESSOR OF MECHANICAL ENGINEERING 
 UNIVERSITY OF NEBRASKA 
 
 THIRD EDITION 
 
 THIRD IMPRESSION, CORRECTED 
 
 McGRAW-HILL BOOK COMPANY 
 
 239 WEST 39TH STREET, NEW YORK 
 6 BOUVERIE STREET. LONDON. E. G. 
 
 1913 
 
 ) 
 

 (Copyright, 1913 
 
 BY 
 
 James D. Hoffman 
 
 (First Edition: Copyright, 1911). 
 By James D. Hoffman) 
 
 ^ transfer froj^ 
 War Department. 
 
 <P 
 
 ^V^ 
 
 cv^ 
 
 •3 
 
EXTRACT FROM PREFACE TO FIRST EDITION. 
 
 OTb 
 
 — In the development of Heating and Ventilating work, It 
 
 ?'? IS highly desirable that those engaged in the design and the 
 (^ installation of the apparatus be provided with a hand-book 
 Ur? convenient for pocket use. Such a treatise should cover the 
 entire field of heating and ventilation in a simplified form 
 and should contain such tables as are commonly used in 
 every day practice. This book aims to fulfill such a need and 
 is intended to supplement other more specialized works. Be- 
 cause of the scope of the work, its various phases could not 
 be discussed exhaustively, but it is believed that all the fun- 
 damental principles are stated and applied in such a way as 
 to be easily understood. It is suggestive rather than diges- 
 tive. The principles presented are the same as those that 
 have been stated many times before, but the arrangement of 
 the work, the applications and the designs are all original. 
 Many formulas and rules are necessarily given; but it will 
 be seen that, in most cases, they are developments from a few 
 general formulas, all of which can be readily understood and 
 remembered. Practical points in constructive design have 
 also been considered. However, since the principles of heat- 
 ing and ventilation are founded upon fundamental thermo- 
 dynamic laws, it seems best to accentuate the theoretical 
 side of the work in the belief that if this is well understood, 
 practical points of experience will easily follow. A pamphlet 
 containing suggestions and problems for a course of instruc- 
 tion in technical schools is included with every book. 
 
 It is hoped that the material here given will be simple 
 enough for the beginner and, at the same time, sufficiently 
 complete and exact for the engineer with years of experience. 
 If it merits the approval of the reader, or if any part is de- 
 fective or misleading, we trust that statements of criticism 
 will be freely contributed. The only way to perfect such a 
 
book Is to have the good wishes and the co-operation ot en- 
 gineers In all branches of the work. These are solicited. 
 
 All the standard works upon the subject have been freely 
 consulted and used. In most cases where extracts are made, 
 acknowledgment is given In the text. In addition to this, 
 references for continued reading are quoted at the close of 
 each important topic. Because of these references through- 
 out the book, we do not here repeat the names of their 
 authors. We wish, however, to express our sincere apprecia- 
 tion of their valuable assistance. 
 
 J. D. H. 
 
 PREFACE TO SECOND EDITION. 
 
 The demand for copies of the first edition of the hand- 
 book was so great as to make a second edition necessary 
 within the second year after publication of the first edition. 
 A few corrections were made on the first edition and all 
 the material has been revised to bring It up to date. The 
 work on air conditioning has been amplified. The descrip- 
 tions of hot water and steam heating have been improved 
 by diagrams of the various piping systems. Two chapters 
 have been added on refrigeration and many tables have 
 been added in the Appendix. Many suggestions have come 
 from men In practice and these suggestions have been con- 
 sidered, thus enlarging upon the practical side and the ap- 
 plications. It is believed now that every subject discussed 
 within the scope of the book has been revised to meet the 
 present state of the science. 
 
 Lincoln. Neb. J. D. H. 
 
CONTENTS 
 
 CHAPTER I. (Heat) 
 Arts. Pages 
 
 1- 4 Introductory. Measurement of Heat and 
 
 Temperatures 9- 13 
 
 5 Radiation, Conduction, Convection 14- 15 
 
 CHAPTER II. (Air) 
 6- 9 Composition of Air. Amount Required per 
 
 Person 16- 24 
 
 10- 13 Humidity 25- 30 
 
 14- 15 Convection of Air. Measurement of Air Ve- 
 locities 31- 34 
 
 16- 20 Air Used in Combustion. Chimneys 35- 37 
 
 References pn Ventilation 38 
 
 CHAPTER III. (Heat Losses) 
 
 21- 29 Heat Losses from Buildings 39- 47 
 
 30 Teimperatures to be Considered 47- 48 
 
 31 Heat given off from Lights and Persons.... 49 
 References on Heat Losses from Buildings. . 50 
 
 CHAPTER IV. (Furnace Heating) 
 
 '32- 34 Essentials of the Furnace System.... 51- 53 
 
 35- 37 Air Circulation in Furnace Heating 53- 55 
 
 38- 47 Calculations in Furnace Design 56- 61 
 
 48 Application to a Ten Room Residence 62- 66 
 
 CHAPTER V. (Furnace Heating, Continued) 
 
 49- 51 Selecting, Locating and Setting the Furnace 67- 71 
 52- 57 Air Ducts. Circulation of Air in Rooms.... 71- 76 
 
 58 Fan-Furnace Heating 77 
 
 59 Suggest'ioms for Operating Furnaces 78- 79 
 
 60 Best Outside Temperature 79- 83 
 
 References on Furnace Heating 84 
 
 OHAPTER VL (Hot Water and Steam Heating) 
 
 61- 66 Comparison and Classification of Systems... 85- 90 
 
 67 Diagrams of Piping Systems 91- 95 
 
 68 Accelerated Systems 95- 99 
 
 69 Vacuum Systems for Steam 99-102 
 
 CHAPTER VIL (Ht. Water and St. Heating, Cont'd) 
 70- 75 Classification and Efficiencies of Radiators. .103-108 
 76- 79 Heaters and Boilers. Combination Systems. 
 
 Fittings 108-113 
 
CHAPTER VIII. (Ht. Waaler and St. Heating Cont'd) 
 
 Arts. Pages 
 
 80- 83 Calculation of Radiator Surface 114-121 
 
 83- 86 Pipe Sizes. Grate Area. Piping Connections. 121-124 
 
 84 General Application to Hot Water Design .. .125-131 
 
 88- 89 Insulating Steam Pipes, Water Hammer, . .131-133 
 
 yO Feeding Return Water to Boiler 133-137 
 
 91 Suggestions for Operating Boilers 137-138 
 
 References on Hot Water and Steam Heat'g 139-140 
 
 CHAPTER IX. (Mechanical Vacuum Heating) 
 92- 96 General. Webster, Van Auken, Automatic 
 
 and Paul Systems 141-151 
 
 97 References on Mechanical Vacuum Heating 152 
 
 CHAPTER X. (Mechanical Warm Air Heating) 
 98-104 General Discussion, Blowers and Fans. 
 
 Heating Surfaces 153-165 
 
 105-107 Single and Double Duct Systems, Air Wash- 
 ing 165-168 
 
 CHAPTER XI, (Mech, Warm Air Heating, Cont'd) 
 
 108-112 Heat Loss. Air Required. Air Tempera- 
 tures 169-172 
 
 113-114 'Air Velocities. Area of Ducts 172-173 
 
 115-120 Heating Surface in Coils. Arrangement of 
 
 Coils 173-183 
 
 121-122 Amount of Steam Used in the System 183 
 
 CHAPTER XII. (Mech. Warm Air Heating, Cont'd) 
 
 123-129 Air Velocity and Pressure, Horse-Power in 
 
 Moving Air 184-195 
 
 130-133 Fan Drives. Speeds. Size of Engine. Piping 
 
 Connections 195-200 
 
 134 General Application to Plenum System 200-205 
 
 References on Mechanical Warm Air Heat- 
 ing 206-207 
 
 CHAPTER XIII. (District Heating) 
 
 135-139 General. Conduits. Expansion Joints. 
 
 Anchors 208-222 
 
 140-14t2 Typical Design. Heat in Exhaust Steam 222-228 
 
 143-146 Hot Water Systems. General Discussion 229-231 
 
 147-149 Pressure and Velocity of Water in Mains. . . .231-235 
 
 150-154 Radiation Heated by Exhaust Steam 236-238 
 
 155-160 Reheating Calculations 238-244 
 
 161-164 Circulating Pumps. Boiler Feed Pumps. .. .244-251 
 165-169 Radiation Supplied by Boilers and Economiz- 
 ers 251-255 
 
 170 Total Capacity of Boiler Plant 255-258 
 
 171-173 Cost of Heating from Central Station 258-263 
 
 174 Steam System. General Discussion 264-265 
 
Arts. Pages 
 
 175-177 Pipe Sizes. Dripping the Mains 265-267 
 
 178 General Application of Steam System to Dis- 
 trict 268-262 
 
 References on District Heating 270 
 
 CHAPTER XIV. (Temperature ContiTol) 
 179-182 General. Johnson, Powers and National Sys- 
 tems 271-279 
 
 CHAPTER XV. (Electrical Heating) 
 183-185 Discussion and Calculations 280-282 
 
 CHAPTER XVI. (Refrigeration) 
 
 186-187 Discussion of Systems 283-284 
 
 188-189 Vacuum and Cold Air Systems 284 
 
 190-191 Compression and Ab'sorptiion Systems 285-288 
 
 192 Condensers 289-291 
 
 193 Evaporators : 292-293 
 
 194 Pipes, Valves and Fittings 294 
 
 195-196 Absorption System 294-297 
 
 197-198 Generators 298-299 
 
 199-203 Condensers, Absorbers, Exchangers and 
 
 Pumps 299-301 
 
 204-205 Comparison of Systems 302 
 
 206 Me.thods of Maintaining Low Temperatures 303-305 
 
 207 Influence of Dew Point 305 
 
 208 Pipe Line Refrigeration 306-307 
 
 CHAPTER XVIL (Refrigeration, Cont'd) 
 
 210-212 Calculations 308-312 
 
 213-216 General Applicatdon 313-315 
 
 217 Cost of Refrigeration 316-317 
 
 References on Refrigeration 318 
 
 CHAPTER XVIIL (Specifications) 
 
 218 Suggestions on Planning Specifications 319-325 
 
 APPENDIX. 
 Tables and Diagrams 327 
 
CHAPTER I. 
 
 HEAT — ITS NATURE, GENERATION, USE, MEASUREMENT 
 AND TRANSMISSION. 
 
 1. Introductory: — In all localities where the atmosphere 
 drops in temperature much below 60 degrees Fahrenheit, 
 there is created a demand for the artificial heating- of build- 
 ings. As the buildings have grown in size and complexity 
 of construction, so also this demand has grown in extent 
 and preciseness, with the general result that from the 
 antiquated open fire-place and iron stove, there has devel- 
 oped a science growing richer each day from inventive 
 genius and manufacturing technique — the science of the 
 Heating and Ventilating of Buildings. The purpose of this 
 hand-book shall be to outline, concisely, the fundamental 
 principles and practical applications of this science in its' 
 various branches. 
 
 To the heating engineer of to-day, it may be that the 
 exact nature of heat itself is of much less moment than 
 its generation and transmission, but this fact should be 
 impressed, — that heat is one form of energy, that it cannot 
 be created except by conversion from some other form, and 
 that it is infallibly obedient to certain physical laws and 
 principles. 
 
 In generating heat to-day for heating purposes, the 
 almost universal method is combustion. The union of such 
 substances as coal, wood or peat with the oxygen of the 
 air is always attended by a liberation of heat derived from 
 the chemical action of the combination; and this heat is 
 carried by some common carrier, such as air, water or 
 steam, to the building or room to be heated where it is given 
 off by the natural cooling process. In some instances this 
 heat is converted into electrical energy, which is carried by 
 wire to the place of use and given off by passing through a 
 set of resistance coils, which convert it into heat; but this 
 method is not much favored because of its inefficiency and 
 the resulting expense. This latter objection would not hold 
 in the case of water power installation, where the combus- 
 tion of fuel is entirely eliminated. 
 
10 HEATING AND VENTILATION 
 
 2. Meannrenient of Heat: — In the measurement of heat, 
 the most commonly accepted unit in practical engineering 
 work is the British thermal unit, commonly abbreviated B. t. u., 
 
 which may be defined as that amount of heat which will 
 raise the temperature of one pound of pure water one de- 
 gree Fahrenheit, at or near the temperature of maximum 
 density, 39.1° F. (See also definition for Specific Heat). 
 This unit value, the B. t. u., measures the quantity of heat, 
 while the temperature measures the degree of heat. In 
 equal masses of the same substance the two are propor- 
 tional. The Fahrenheit is the more commonly used tem- 
 perature scale, especially in steam engineering. The unit of 
 this scale is derived by dividing the distance on the ther- 
 mometer between the freezing point and the boiling point 
 of water into 180 equal degrees, the freezing point being 
 marked 32°, and the boiling point 212°. All temperatures in 
 this work will be taken according to the Fahrenheit scale, 
 and all quantities of heat expressed in British thermal units. 
 
 There is a second unit of quantity of heat considerably 
 used, especially in scientific research, known as the calorie, 
 commonly abbreviated cal., and defined as that amount of 
 heat which will raise one kilogram of pure water one de- 
 gree Centigrade, at or near the temperature of maximum 
 density, 4° C. This Centigrade is a second temperature 
 scale, the unit of which is derived by dividing the distance 
 on the thermometer between the freezing point and the 
 boiling point of water into 100 equal degrees, the freezing 
 point being marked 0°, and the boiling point 100°. 
 
 It is often found desirable to change the expression for 
 temperature or for quantity of heat from one system of 
 terms to that of the other. For this purpose the following 
 formulas will be found useful: 
 
 F=^C + S2 and C= {F—32)^ (1) 
 
 where F = Fahrenheit degrees and C = Centigrade degrees. 
 From these equations it may be seen that the two scales co- 
 incide at but one point, — 40 degrees. For conversion of the 
 quantity units tlie fullowing may be used: 
 
 1 British thermal unit = 0.252 Calorie. 
 
 1 Calorie = 3.968 British thermal units. 
 
 These are for the ajbsolute conversion ot a certain quantity 
 of heat from one system to the other. If, however, the 
 effect of this heat is considered upon a glveriHvoight of sub- 
 
MEASUREMENT OF TEMPERATURE 
 
 11 
 
 Stai^ce and the "weight also is expressed in the respective 
 systems, the following values hold: 
 
 1 Calorie per kilogram = 1.8 British thermal units per pound. 
 1 British thermal unit per pound = 0.555 Calorie per kilo- 
 gram. 
 Far conversion tables from kilograms to pounds and vice 
 versa, see Suplee's Mechanical Engineering Reference Book, 
 page 72, or Kent's Mechanical^ Engineers' Pocket-Book, 
 page 22. 
 
 3. 3Ieasureinent of High Temperatures: — For the meas- 
 urement of temperatures up to the boiling point of mer- 
 
 d. 
 
 Fig, 1. 
 
 CUry, or approximately 600' F., the mercurial thermometer 
 of proper range may be employed. It is more common, how- 
 ever, to use some form of pyrometer for temperatures above 
 600° F., as when the temperatures of stack gases or of fire 
 box gases are desired. Pyrometers are built upon many dif- 
 
12 HEATING AND VENTILATION 
 
 ferent principles, the graphite expansion stem type, shown 
 in Fig. 1, a; the thermo-electric type, shown In Fig. 1, b; or 
 the Siemens water calorimeter type, shown in Fig. 1, c. 
 Various other methods might be mentioned, one of the best 
 being temperature determination by the Seger cones, which, 
 due to varying compositions, melt at different temperatures. 
 A line of tliese numbered cones is exposed to the sweep of 
 the gases to be measured, and their temperature determined 
 very closely by noting the number of the last cone which 
 melts. The cones are numbered from 022 to 39 and indicate 
 temperatures from 590° to 1910° F., by approximate incre- 
 ments of 20°. Fig. 1, d, shows cones 010, 09, 08 and 07, of 
 which only the last is unaffected, and, from the table fur- 
 nished with the cones, this indicates a temperature of 1000° F* 
 4. Absolute Temperature: — In experiments that hav^ 
 been carried on with pure gases with the use of air ther- 
 mometers, it has been found that air expands approximately 
 •2-4-Tj- of its volume per degree increase in temperature at 
 zero F. or -»-4t ^^ ^^^ volume at zero C. From the same 
 line of reasoning, by cooling the air below zero, the reverse 
 process should be equally true, that is, for each degree 
 Fahrenheit of cooling the volume at zero would be contract- 
 ed -r-i-jr. Evidently, then, if a volume of gas could be cooled 
 
 4 
 
 to — 460° F., it would cease to exist. This theoretical point 
 is called the absolute zero of temperature. All gases change 
 to liquids or solids before this point is reached, however, and 
 hence do not obey the law of contraction of gases at the very 
 low temperatures. The fact that air at constant pressure 
 changes its volume almost exactly in proportion to the abso- 
 lute temperature, T, (460 + t, where t is temperature Fahren- 
 heit) gives a starting point to be used as a basis for all air 
 volume temperature calculations. For instance, if a volume 
 of 20000 cubic feet be taken in at the air intake of a build- 
 ing at 0°, and heated to 70°, its volume, by *he heating, will 
 become greater in the same proportion that its absolute tem- 
 
 X 530 
 
 perature becomes greater; that Is, = ; x = 23000 
 
 20000 460 
 
 cubic feet, or an increase of 15 per cent. 
 
 Gage and Absolute Pressures. — Two common ways of ex- 
 pressing pressures are in use. One is denoted by the expres- 
 sion pressure by gage, and refers to the total pressure in a 
 container minus the pressure of one atmosphere. Thus the 
 expression "65 pounds boiler pressure, by gage" means that 
 
MECHANICAL EQUIVALENT OF HEAT 13 
 
 the boiler is carrying" 65 pounds pressure, per square inch of 
 surface, above the pressure of the atmosphere, which is, for 
 approximate calculations, taken at the standard pressure of 
 14.696 pounds per square inch. Hence, the boiler carries 
 within it a total pressure of 65 pounds plus 14.696 pounds or 
 79.696 pounds pei square inch. This total pressure is what 
 is known as absolute pressure, and when stated in pounds per 
 square foot of area, is called specific pressure. Like the volume 
 of a gas, so also the absolute pressure varies directly with 
 the absolute temperature, other things being constant. Hence 
 the equation P V = R T, where P is the absolute pressure 
 in pounds per square foot, V is the volume of one pound in 
 cubic feet, T is the absolute temperature, and i? is a con- 
 stant which for air is 53.22. From this equation, having 
 given any two of the quantities, P, V or T, the third may be 
 found.' In very accurate calculations where the value 14.696 
 is not considered close enough, the barometer may be read, 
 and its readings, in inches of mercury, multiplied by the 
 constant .49, to obtain the pressure of the atmosphere in 
 pounds per square inch. 
 
 Mechanical Equivalent of Heat. — ^By precise experiment, it 
 has been determined that, if the heat energy represented by 
 one B. t. u. be changed into mechanical energy without loss, 
 it would accomplish 778 foot pounds of work. Similarly, 
 one calorie is eqiuivalent to 428 kilogrammeters. One horse- 
 power of work is equivalent to the expenditure of 33000 foot 
 pounds of work per minute. Hence one horse-power of 
 work represents 42.416 B. t. u. per minute. 
 
 Latent Heat. — Not all the heat applied to a body pro- 
 duces change in temperature. Under certain conditions, the 
 heat applied produces internal or molecular changes, and is 
 called latent heat. Thus if heat is applied to ice at the freez- 
 ing point, no rise of temperature is noted until all the ice 
 is melted; and again, heat applied to water at boiling point 
 does not raise the temperature, but changes the water into 
 steam. The first is called latent heat of fusion, and for 
 ice is 142 B. t. u. per pound, while the latter is called latent 
 heat of evaporation, and for water is 969.7 B. t. u. per pound. 
 
 Specific Heat. — The ratio of the quantity of heat required 
 to raise the temperature of a substance one degree, to that 
 required to raise the temperature of the same weig-ht of 
 pure water one degree from the temperature of its maxi- 
 mum density, 39.1 degrees, is commonly called the specific 
 heat of the substance. The above is the accepted rule among 
 
14 HEATING AND VENTILATION 
 
 physicists. This, however, has been modified by engineering 
 practice so tliat tlie statement specific heat of tcatrr is now 
 understood to mean the average specific heat Oif w«.ter be- 
 tween 32 degrees and 212 degrees. (Amount of liea-t neces- 
 sary to raise one pound of water from 32 degrees F. to 212 
 degrees F.) 4- 180 = 1 approximately. Table 24, Appendix, 
 gives specific heats of substances. 
 
 5. Radiation. Conduction and Convection: — The transmis- 
 sion of heat, next to its generation, forms an item of vital 
 interest to the heating engineer, for different forms of heat- 
 ing installations are based fundamentally on the different 
 ways in which heat is transmitted. These ways are usually 
 quoted as being three in number — radiation, conduction and 
 convection. 
 
 Radiation, — This transmission of heat occurs as a wave 
 motion in the ether of space, and is the way by which the 
 heat of the sun reaches the earth. Heat of this form, usu- 
 ally referred to as radiant heat, requires no matter for its 
 conveyance, passes through some materials, notably rock- 
 salt, without change or appreciaJble loss, and travels, as does 
 light, at the rate of 186000 miles per second. In the combus- 
 tion of fuel the radiant heat given off to the surrounding 
 metal from the rays of the fire is no doubt of much greater 
 value than has ever been credited to it. We are indebted 
 to the noted French physicist, L. Ser, who followed Peclet 
 in his experiments in radiant heat in fire box boilers, for a 
 very valuable amount of information. It is to be hoped 
 that further experimentation "may soon see the relation be- 
 tween the "heat radiated from the incandescent surface of 
 the fuel" and the "sensible heat in the escaping gases." 
 This would be of great value to those engaged in the design 
 and operation of boiler furnaces. 
 
 Conduction. — The second method of transmission is more 
 commonly evident to the senses. If a rod of metal is heat- 
 ed at one end, it is known that the heat is transferred, or 
 conducted, along the rod until the other end becomes heated 
 also. Conduction being, essentially, the way by which solids 
 transfer heat, is hence of special significance in the calcu- 
 lation of heat losses through the walls of a building. Rel- 
 ative conductivity of a substance may be defined as the quantity 
 of heat which passes through a unit thickness of the sub- 
 stance in a unit of time across a unit of surface of the sub- 
 Btance, the difference of temperature between the two sides 
 of the substance being one unit of the thermometric scale 
 
HEAT TRANSMISSION 
 
 15 
 
 Fig. 2. 
 
 employed. Since the complexity of our building construc- 
 tions renders it obviously impossible to reduce all losses to 
 losses per unit thickness of the structure, we are not per- 
 mitted to use the term "relative conductivity" but another 
 term, i. e., "transmission constant," or rate of transmission. 
 Thus Table IV, page 40, the rate of transmission K, given 
 for a 6 inch studded frame wall, is .25 B. t. u. per square 
 foot of surface per degree difference of temperature for one 
 hour. It is readily seen that this table is the basis for the 
 heat loss calculations of buildings. 
 
 Convection. — Gases and liquids convey heat 
 most readily by this method, which is funda- 
 mental with hot air and hot water heating 
 installations. If it is attempted to heat a 
 body of water by applying heat to its upper 
 surface, it will be found to warm up with 
 extreme slowness. If, however, the source of 
 heat be applied below the body of water as 
 in Fig. 2; it will be found to heat rapidly, the 
 water being distributed by circulating cur- 
 rents having more or less force, and follow- 
 ing, in general, the direction shown by the ar- 
 rows. What actually happens is this: — water 
 particles near the source of heat become lighter, 
 volume for volume, than the colder particles 
 near the top; then, because of the change in 
 density, gravity causes an exchange of these 
 particles, drawing the heavier to the bottom and 
 allowing the heated and lighter particles to rise 
 to the top, thus forming the circulation currents. 
 This process is Icnown as convection. It will 
 never o^ccur unless the medium expands con- 
 siderably upon being heated, and unless the 
 force of gravity is free to establish circulating 
 currents. The hot water heating system may 
 be considered merely as a body of water. Fig. 3, 
 furnished with proper pipe circuits. When 
 heated at one point, the water rises by convec- 
 tion to the radiators, is there cooled, hence be- 
 comes heavier, and descends by the return cir- 
 cuit to the point of heat application, thus completing the 
 circuit. The warm air furnace installation works similarly, 
 air, however, being the heat-carrying medium. 
 
 ry 
 
 Fig. 3. 
 
CHAPTER II. 
 
 AIR COMPOSITION — VENTILATION HUMIDITY. 
 
 6, Composition of Atniosplieric Air; — The subject of 
 ventilation as applied to buildings would naturally be in- 
 troduced by a brief consideration of the properties of the 
 air supplied. This supply Is a very important factor as re- 
 gards both quality and quantity. In addition to its value 
 as a heating medium, it determines, in a large measure, the 
 health of the occupants of the building. 
 
 The human body may be considered as a well equipped 
 and very complex power plant. As the carbon, hydro- 
 gen and oxygen in the fuel and air supply in any mechan- 
 ical power plant are consumed in the furnace, the resulting 
 heat absorbed in the generating system and finally turned 
 into work through the attached mechanisms, so the human 
 body in a similar way, but at a much slower xate, absorbs 
 the heat of combustion and turns it into work. The prod- 
 ucts of combustion in both cases are largely carbon dioxide 
 and water. The chief requisites of the mechanical plant 
 are good fuel, good draft and good stoking. Similarly, the 
 human body needs pure food, pure air and healthful exer- 
 cise. Of the three, the second is probably of the greatest 
 importance, since no person can keep in health with im- 
 pure air, even though accompanied with the best of food 
 and plenty of exercise. 
 
 Air, to the average person, is made up of two elements, 
 oxygen and nitrogen, in the volume ratio of about 20.9 to 
 79.1 and a density ratio of about 23.1 to 76.9, respectively. 
 We find in making a complete analysis of pure air, that a 
 number of other elements and compounds enter into it, mak- 
 ing a mec4ianical mixture which is somewhat complex. To 
 the heating and ventilating engineer, however, two im- 
 portant substances must be added to the two just stated, 
 and a revision of the percentages will therefore be neces- 
 sary. It may be said that pure air, as taken from the good 
 open country and not contaminated with poisonous gases 
 or the dust and refuse from the cities, would have about 
 
COMPOSITION OF AIR 17 
 
 the following composition. See Encyclopedia Britannica, 
 
 Respiration. 
 
 Oxygen Symbol O Per cent, of volume 20.26 
 
 Nitrogen • " N " " " 78.00 
 
 Moisture " H2O " " " 1.7 
 
 Carbon dioxide " CO2 ' -04 
 
 These values are fairly constant, except that of the mois- 
 ture, which may vary according to the humidity anywhere 
 from + to 4 per cent, of the entire weight of the air. In 
 places where the air is not pure, the following substances 
 may be found in small quantities: carbon monoxide (CO), 
 sulphuretted hydrogen (H2S), ozone, argon, compounds of 
 ammonia, and compounds of nitric, nitrous, sulphuric and 
 sulphurous acids. 
 
 In the process of respiration, the lungs and the skin 
 of the average person will change the composition of the 
 air film around the person from that given above to 
 Oxygen ^ Per cent, of volume 16 
 
 Nitrogen " " " 75 
 
 Moisture " " " 5 
 
 Carbon dioxide " " " 4 
 
 Comparing these values with 'those for pure air, it will 
 be seen that the oxygen has been reduced about one-flfth, 
 the nitrogen has been reduced about one twenty-fifth, the 
 vapor has increased three times and the carbon dioxide has 
 Increased one hundred times. Oxygen has been consumed 
 in its uniting with the excess carbon and hydrogen in the 
 System, and is given off as carbon dioxide and water vapor. 
 It may be seen from these ratios, that the very rapid increase 
 in CO2 'and the accompanying irnpurities of animal matter, 
 would soon render unfit for use the air in almost any build- 
 ing occupied by a number of people. To avoid this state of 
 affairs, fresh -air should be supplied continuously and at 
 such points as will provide the mo'St uniform circulation. 
 
 7. Oxygen and Nitrogen: — The oxygen of the air fills 
 about one-fifth of the volume in atmospheric air and is the 
 element that makes combustion possible. The other four- 
 fifths of the space might be said to be filled with nitrogen. 
 In a providential way, this nitrogen acts as a sort of buffer 
 In its mixture with the oxygen and serves to control the 
 rapidity with which the combustion takes place. Nitrogen 
 seems to h^ave little effect upon the respiration, except to 
 
18 HEATING AND VENTILATION 
 
 retard the chemical action between the oxygen and carbon 
 and the oxygen and hydrogen. If one were to attempt to 
 live in an atmospliere of pure oxygen, the chemical action 
 in the lungs would be so rapid that the human body would 
 not be able to maintain it. 
 
 8. Carbon Dioxide! — The amount of COo in the air is 
 used as an index to the purity of the air. This is not con- 
 sidered a. poisonous gas. It has slight taste and odor but no 
 color. It is found in many natural waters and manufac- 
 tured beverages, the chief one being "(soda water," which is 
 made by forcing carbon dioxide into water under pressure. 
 The real action of CO2 w.hen taken into the lungs is not 
 well known. It has the effect of producing physical depres- 
 sion, and where found in sufficient quantity would even cause 
 death by suffocation, very similar to a submergence in 
 water. Whatever its effect upon human life may be, its pres- 
 ence in any room used for habitation is usually an indica- 
 tion of the lack of oxygen and an excess of impurities thrown 
 off by respiration. Pure air has four parts CO2 in 
 10000 parts of air, and room air should never be 
 allowed to have more than eight 'to ten parts in 10000 parts 
 of air. It becomes the problem of the heating engineer, 
 therefore, to provide air in sufficient quantities, and to enter 
 and withdraw the air from the room in a manner such as 
 will not be uncomfortable to the occupants, at the same 
 time keeping the air fairly uniform in quality, throughout 
 the room. Carbon dioxide in the exhaled breath is about 2.5 
 times heavier than air of the same temperature, and there- 
 fore would have a tendency to fall. It is exhaled, however, 
 with excessive moisture and at a temperature higher -than 
 that of the room air, both qualities giving it a tendency to 
 rise. These latter factors probably neutralize the excessive 
 density, and as long as the air is not absolutely quiet, would 
 eventually result in a fair diffusion throughout the room 
 air. In large audiences the heat given off from the occu- 
 pants is sufficient to cause strong air currents which, in 
 rising, lift thiis impure air to the upper part of the room. 
 In mosit systems the vitiated air Is withdrawn from the 
 room near the floor line. If, as Is urged by some, the ven- 
 tilating air enters near the floor line and is removed from 
 the upper part of the room near the celling, the problem 
 of heating the room will be more difficult and expen'slve. 
 
DETERMINING THE PURITY OF AIK 
 
 19 
 
 The circulation of air within rooms is being given much at- 
 tention now and it is hoped that some conclusive results 
 may soon be obtained. There is no doubt that less air will 
 be needed for proper ventilation if it is entered and removed 
 in such a manner and from such parts of the room as will 
 keep all the air within the room constantly moving and yet 
 free from localized air currents. 
 
 A method of determining the percentage of carbon dioxide in the 
 air, based upo'n the fact that barium carbonate is nearly in- 
 soluble in water, may be performed as follows: Provide 
 eleven bottles with rubber stoppers having two holes each, 
 and connect them continuously by glass and rubber tubing, 
 so that if suction be applied at the first bottle of the series, 
 air will be drawn in at the last of the series and the sajne 
 air will be passed through all. In this way a sample of the 
 air to be tesited may be drawn into each bottle. The capac- 
 ities of the bottles must be made to be respectively, in 
 ounces, 23y2, Igi/z, leVz, .14, 9i^, 71/2, SVa, 4, 31^, 2i^ and 2. 
 This may readily be done by partially filling with parafRne. 
 Into each bottle is then placed V2 ounce of a 50 per cent, sat- 
 urated solution of barium hydrate, Ba(OH)2. More of the 
 air to be tested is drawn through the system until assurance 
 is had that each bottle contains a fair sample. Each bottle is 
 then thoroughly shaken, so that the liquid may be brought 
 into good contact with the air sample. If the least turbidity 
 or cloudiness appears in the 
 
 First or largest bottle indicates 0.04 per cent. CO2 
 
 iSecond bottle indicates 
 
 Third 
 
 Fourth 
 
 Fifth 
 
 Sixth 
 
 Seventh 
 
 Eighth 
 
 Ninth 
 
 Tenth 
 
 Eleventh " 
 
 0.06 ' 
 
 
 
 0.07 ' 
 
 
 
 0.08 ' 
 
 
 
 0.10 ' 
 
 
 
 0.15 ' 
 
 
 
 0.20 • 
 
 
 
 0.30 ' 
 
 
 
 0.40 ' 
 
 
 
 0.60 ' 
 
 
 
 0.90 ' 
 
 
 
 Care must be taken to have a fair sajnple of the air in 
 each bottle. The glass tubes through the rubber stoppers 
 should extend no farther than the bottom of the stoppers. 
 Vis. 4^ a. shows four of the bottles and their connections. 
 
20 
 
 HKATINO AND VENTILATION 
 
 As an example, suppose tliat tlie air of a room was tested 
 and that in the first, second, third, fourth, fifth and sixth 
 bottles the liquid became turbid after vigorous shaking. 
 Such room air would have contained 0.15 per cent, of carbon 
 dioxide, and would have been considered quite unfit for 
 breathing. 
 
 Fig. 4. 
 
 A. second, less cumbersome, and more delicate method of testing 
 for the percentage of carbon dioxide will be described, as it 
 is the method commonly used and only requires compara- 
 tively simple apparatus, as shown in Fig. 4, b. A bottle of 
 about 6 ounces capacity is fitted with a rubber stopper hav- 
 ing two holes. Through one hole a glass tube is brought 
 from the bottom of the bottle, and to the outer end of the 
 tube is connected a valved bulb similar to those found on 
 atomizers. Into the bottle are placed 10 cubic centimeters 
 of a solution made by dissolving .53 grams of anhydrous 
 sodium carbonate, Nao OOs, in 5 liters of water, and adding 
 .01 gram of phenolphthalein. The water used must have been 
 previously boiled for at least one hour in an open vessel. 
 With the apparatus so prepared, squeeze the bulb, thus forc- 
 ing air from the room through the liquid and into the bot- 
 tle. The open hole in the rubber stopper is then closed with 
 the thumb, and the bottle shaken for twenty seconds, 
 then another bulb-full of air is inserted, and again shaken. 
 This process is continued and the number of bulbs of air 
 noted until the red color of the solution, due to the phenolph- 
 thalein, disappears. This number of bulb fillings is indica- 
 tive of the purity of the air according to the table below. 
 After such an apparatus is completed, it must be calibrated 
 
DETERMINING THE PURITY OF AIR 21 
 
 before being used. This is done by testing the number of 
 bulb fillings of pure country air necessary to clear the 
 liquid, which will usually vary from 40 to 70. A new table 
 for that special apparatus Is then obtained from the one 
 given below by proportion. In the table given, this number 
 of bulb fillings, with purest country air, is 48. If, with the 
 apparatus made up, it is found that, say, 60 bulb fillings are 
 required, then the proportionate table would be made by 
 multiplying the number of bulb fillings given below by the 
 ratio of 60 -r- 48, or 5 to 4. It is important that the bulb be 
 compressed the same amount for each filling, and that the 
 shaking of the bottle and contents be continued the same 
 length of time after each filling, to obtain uniform results. 
 
 TABLE I. 
 
 Fillings 
 
 Per Cent. CO2 
 
 Fillings 
 
 Per Cent. CO2 
 
 48 
 
 .030 
 
 15 
 
 .074 
 
 40 
 
 .038 
 
 14 
 
 .077 
 
 35 
 
 .042 
 
 13 
 
 .08 
 
 30 
 
 .048 
 
 12 
 
 .083 
 
 28 
 
 .049 
 
 11 
 
 .087 
 
 26 
 
 .051 
 
 10 
 
 .09 
 
 24 
 
 .054 
 
 9 
 
 .10 
 
 22 
 
 .058 
 
 8 
 
 .115 
 
 20 
 
 .062 
 
 7 
 
 .135 
 
 19 
 
 .064 
 
 6 
 
 .155 
 
 18 
 
 .066 
 
 5 
 
 .18 
 
 17 
 
 .069 
 
 4 
 
 .21 
 
 16 
 
 .071 
 
 3 
 
 .25 
 
 The methods outlined for tht, approximate estimation of 
 CO2 are satisfactory for determining whether or not ventila- 
 ting systems maintain a proper degree of purity of air. If 
 exact percentages of CO, CO2, O and N are required, the Orsat 
 apparatus must be employed, for description of which see 
 Engineering Chemistry by Stillman, page 238. See also Car- 
 penter, H. & V. B., Chap. II, and Hempel's Gas Analysis, 
 translated by Dennis. 
 
 9. Amount of Air Required per Person: — The need of a 
 continuous supply of fresh air in our residences and business 
 houses can scarcely be over-estimated. Health is probably 
 
22 HEATING AND VENTILATION 
 
 the greatest of all blessings and pure air is absolutely es- 
 sential to health. The average adult, when engaged in or- 
 dinary indoor occupations, will exhale about twenty cubic 
 inches of air per respiration. He will also have sixteen to 
 twenty respirations per minute, making a total of 400 cubic 
 inches or, say, .25 cubic foot of air exhaled per minute. If 
 as in Art. 6, exhaled air contains 4 per cent. COo, then 
 the average person will exhale 60 X .25 X .04 = .6 cubic foot 
 COo per hour, (Pettenkofer, Smith & Parker), which is con- 
 stantly being diffused throughout the air of the room, thus 
 rendering it unfit for use. If the carbon dioxide and the 
 other impurities could be disassociated from the rest of the 
 air and expelled from the room without taking large quan- 
 tities of otherwise pure air with it,- the problems of the heat- 
 ing engineer would be simplified, but this cannot be done. 
 Because of this rapid diffusion, it is necessary to flood the 
 room with fresh air in order that the purity may be main- 
 tained at a safe value. The ideal conditions would be to 
 have it the same as that of the outside air, but the mechan- 
 ical difficulties around such a ventilating system, would be so 
 great as to render it prohibitive. The standard of purity 
 which should be aimed at, and one, as well, which may be 
 attained with a first class system, is, .06 of one per cent. 
 CO2, i. e., six parts of CO2 in 10000 parts of air. A system, 
 however, which maintains a st-andard of 8 parts in 10000 
 would be considered fairly satisfactory. This may be put in 
 a simple form for calculation. 
 
 Let Qi = cubic feet of atmospheric air needed per hour 
 per person; A = cubic feet of CO2 given off per hour per 
 person; n = vthe standard of purity to be maintained (al- 
 lowable parts of COo in 10000 parts of air); and p = the 
 standard of purity in atmospheric air, say, 4; then 
 
 A 
 
 Oi = (2) 
 
 n — p 
 
 If we wish to maintain a purity in the room of seven 
 parts COo in 10000 parts of air, and pure air contains four 
 parts in 10000, we have Oi = .6 -f- (.0007 — .0004) = 2000 
 cubic feet of air per hour. 
 
 Another formula, quoted from Carpenter's Heating and 
 Ventilating of Buildings, very similar to the above, is 
 
 06 
 n — 4 
 
AIR REQUIRED PER PERSOl^^ 2S 
 
 where a = the purity of the exhaled breath, say 400 parts 
 in 10000, n = the purity to be maintained in the room and 
 6 = the cubic feet of air exhaled per minute. Substituting, 
 as above, 
 
 Qi = (400 X 60 X .25) -^ (7 — 4) = 2000 cubic feet. 
 
 Based upon .6 cubic foot of CO2 exhaled per person per 
 hour, Table II gives the amount of air needed to maintain 
 the various standards of purity. 
 
 It should be understood that no hard and fast rule can 
 be given for the air requirement per person. This, natur- 
 ally, would be a different amount when considering the 
 physical development for each person in health; it would 
 also be different for the same person according to his occu- 
 pation at the time, sleep 4)eing the least, waking rest some- 
 what greater, and physical exercise the greatest; but it 
 varies decidedly with the state of the person's health, or the 
 sanitary value of his surroundings. According as the degree 
 of purity is demanded, the air supply must be increased to 
 suit it. 
 
 TABLE II. 
 
 Cubic Feet of Air per Person per Hour. 
 
 n 
 
 A 
 
 Qx 
 
 6 
 
 .6 
 
 3000 
 
 7 
 
 .6 
 
 2000 
 
 8 
 
 .6 
 
 1500 
 
 9 
 
 .6 
 
 1200 
 
 10 
 
 .6 
 
 1000 
 
 Generally, it is understood that the average adult sub- 
 jected to average conditions will require 1800 cuMc feet of air 
 per hour. The amount of air needed for ventilation then in 
 most cases can be represented by the formula Q' = 1800 N, 
 where N = the number of people to be provided for. 
 
 The following table quoted from Carpenter's H. & V. B., 
 and from Morin in Encyclopedia Britannica, gives a fair 
 value for the amount of air per occupant per hour, that 
 should be supplied to rooms used for various purposes. 
 
r 
 
 24 HEATING AND VENTILATION 
 
 TABLE HI. 
 
 Hospitals, ordinary 2000-2400 cu. ft. per hour 
 
 epidemic 5000 
 
 Workshops, ordinary 2000 
 
 unhealtliy trades ....3500 
 
 Prisons 1700 
 
 Tlieaters 1400-1700 
 
 Meeting iialls 1000-2000 
 
 Scliools, per child 400- 500 
 
 " adult 800-1000 
 
 Recent practice would tend to increase these values 
 somewhat; especially those relating to school house ventil- 
 ation, where a good estimate would be 800 to 1800 respec- 
 tively. 
 
 One ordinary gas burner of 20 candle power, using four 
 cubic feet of gas per hour, will vitiate as much air as three 
 or four people. Where many lamps are used, this fact 
 should be taken into account. 
 
 In summing up the subject of fresJi air supply, it is well to call 
 .attention to the fact that the ordinary running conditions of 
 any room cannot be absolutely determined by a single test 
 for carbon dioxide. Trials should be frequently made and 
 records kept. Upon one day the conditions may be unusually 
 favorable and would show a small -amount of CO2 even 
 though a very small amount of fresh air be admitted; while 
 on other days, when the conditions are not so favorable, a 
 large amount of fresh air would have to be supplied to main- 
 tain the proper purity within. If the only requirement, 
 therefore, governing the ventilation of buildings should be 
 that a satisfactory CO2 test be passed, there would be a large 
 opportunity to overrate or underrate, as the case may be, 
 the ventilating system of the building. The only safe method 
 in rating ventilating systems is to require a minimum air supply 
 in addition to a maximum permissible percentage of CO2. 
 
 The purification of air by ozonizing it has recently been advo- 
 cated and by some it is claimed to be the real solution of 
 the bad air problem. Definite scientific data are still lack- 
 ing upon which to base any authoritative statements, al- 
 though the invigorating effects of breathing ozonized air 
 will be testified to by many. Ozone Is an unstable form of 
 
MEASUREMENT OF HUMIDITY 25 
 
 oxygen, probably containing' a greater number of atoms per 
 molecule, and is formed by passing air through a highly 
 charged electric field. Because of its unstability as a sub- 
 stance it readily breaks up and becomes more active as an 
 oxidizing agent than oxygen itself. In its decomposition a 
 part goes into combination with substances in the air, such 
 as carbon impurities thrown off from the human body, and 
 burns them up, leaving the balance which is probably pure 
 oxygen. If in the future the purifying effects of ozone are 
 found to substantiate the claims made by some, ventilation 
 problems may thus be readily solved by air washing and 
 ozonizing. 
 
 10. Moisture ^vith Air: — Moisture with the air is a bene- 
 fit to both the heating and ventilating systems in any room. 
 "Wlith moisture in the room, a person may feel comfortable 
 when the temperature is several degrees lower than the 
 comfortable temperature of dry air. Dry air takes up the 
 moisture from the skin. The vaporization of this moisture 
 causes a loss of heat from the body, and gives to the per- 
 son a sense of cold, which is only relieved when the tem- 
 perature of the room is increased. Air space that is fairly 
 saturated with moisture will not permit of much evaporation 
 from the skin, because there is not much demand for this 
 moisture with the air; consequently the body retains that 
 heat and the person has a sensation of warmth which is 
 only relieved by lowering the temperature of the air of the 
 room. On the other hand, at low temperatures the mois- 
 ture with air chills the surface of the skin by convection, 
 a condition that is not so noticeable when the air is dry. 
 It follows from the above statement that the range of com- 
 fortable temperatures is less for moist air than for dry air. 
 
 Concerning the effect of moisture in its relation to the 
 heating and ventilating of the room, we may say that thor- 
 oughly dry air has not the quality of intercepting radiant 
 heat; moisture, however, has this quality. Moist air has 
 also somewhat less weight than dry air and is more buoyant. 
 Because of the possibility of storing up the radiant heat 
 within the particles of moisture, and, because of its con- 
 vection qualities, it serves as a good heat carrier for the 
 heating system. 
 
 11. Humidity of the Air: — The actual humiditp is the 
 amount of modsture, expressed in grains or in pounds per 
 
26 
 
 HEATING AND VENTILATION 
 
 cubic foot, mixed with tlie air at any temperature. The 
 relative humidity is the ratio of tlie amount of moisture actu- 
 ally with the air divided by tlie amount of moisture which 
 the same volume could hold at the same temperature when 
 saturated. It is very important that the heating engineer 
 be able to add to or to take away from the amount of the 
 moisture in the air supply of any building. To find the 
 amount of moisture that should be added or subtracted in 
 any case, it is first necessary to determine the humidity of 
 the air current at various points along its course. This 
 may be obtained by the aid of the wet and dry bulb ther- 
 mometer or by any one of a number 
 of hygrometers supplied by the 
 trade. The wet and dry bulb ther- 
 mometer has a very simple appli- 
 cation, and is probably in most gen- 
 eral use. The principle of its ap- 
 plication is as follows: having two 
 thermometers, V^g. 5, let one of 
 them register the temperature of 
 the room air, the other one being 
 kept wet by a cloth which covers 
 the bulb and projects into a vessel 
 filled with water, shown between 
 the two thermometers. If tlie air 
 is saturated the two thermometers 
 will record the same temperature; 
 if, however, the air is not saturated 
 the thermometer readings will dif- 
 fer an amount depending upon the 
 humidity. It will readily be seen that 
 the lowering of the mercury in 
 the wet thermometer is due to the extraction of the heat 
 in vaporizing the moisture from the bulb to the air. 
 
 In taking readings, let the mercury find a constant level 
 in each thermometer and then note the difference in tem- 
 perature between the two. In Table 11, Appendix, at this 
 difference and at the room temperature read off the rela- 
 tive humidity; then take from Table 12, Appendix, the 
 amount of moisture with saturated air at the temperature 
 recorded by the dry thermometer, and multiply this by the 
 humidity. The result is the amount of moisture with the 
 air per cubic foot of volume. 
 
 ?=— ^-=---. - ■;i 
 
 .^""S-^^ 
 
 XX*s. 
 
 /dpi X 
 
 f* f X 
 
 
 
 fffl#f 1 
 
 m mtK. 
 
 100- 
 
 - c\ 
 
 -no 
 
 ■100 1 
 
 90^ 
 80- 
 
 I 
 
 
 ! -90 ' 
 
 r 
 
 60- 
 
 
 ■ 
 
 i~ -60 ': 
 
 iSO- 
 
 
 
 ■50 
 
 40- 
 
 
 * 
 
 ■M 
 
 50- 
 ; 20^ 
 
 
 
 -iO 
 ■20 
 
 10- 
 
 o- 
 
 
 ^ 
 
 -lO 
 
 1 -° ' 
 
 : ">i 
 
 i 
 
 
 « I" 
 
 1 lilL 
 
 r 
 
 \ 
 
 i 
 
 <L^^ .^ _^ 
 
 
 Fig. 5. 
 
MEASUREMENT OF HUMIDITY 
 
 27 
 
 Application. — Room air, 70 degrees; difference in readings, 
 6 degrees. From Table 11, the humidity is 72 per cent. 
 From Table 12, col. 7, .72 X .001153 = .00083 pounds pel 
 cubic foot. 
 
 To avoid the necessity for the use of tables, various in- 
 struments have been designed, which, graphically, give the 
 relative humidity directly. Fig. 6 shows such an instrument. 
 
 commonly known as the hi/grodeik. To find, by it, the relative 
 humidity in the atmosphere, swing the index hand to the 
 left of the chart, and adjust the sliding pointer to that de- 
 gree of the wet bulb thermometer scale at which the mer- 
 cury stands. Then swing the index hand to the right until 
 the sliding pointer intersects the curved line which extends 
 downward to the left from the degree of the dry bulb 
 thermometer scale, indicated by the top of the mercury 
 column in the dry bulb tube. At that intersection, the in- 
 dex hand will point to the relative humidity on scale at bot- 
 tom of chart. Should the temperature indicated by the wet 
 bulb thermometer be 60 degrees and that of the dry bulb 
 70 degrees, the index hand will indicate humidity of 55 
 
28 HEATING AND VENTILATION 
 
 per cent., when the pointer rests on vhe intersecting line 
 of 60 degrees and 70 degrees. 
 
 For accurate work any instrument of the tret and dry bulb type 
 should be used in a current of air of not less than 15 feet per second. 
 
 Note. — A very elaborate series of experiments conduct- 
 ed by Mr, Willis H. Carrier of Buffalo, New York, and pre- 
 sented as a paper before the American Society of Mechan- 
 ical Engineers in 1911, seems to show a theoretical humidity 
 under varying conditions of temperature somewhat different 
 from that obtained by the U. S. Weather Bureau, which has 
 always been considered as a standard. Tables 11 and 12, 
 Appendix, are used as reference in this book but Fig, A fol- 
 lowing Table 13, shows the variation between the results 
 obtained by Mr. Carrier and those obtained by the Govern- 
 ment. The two charts Fig, B and Fig, C in addition to Fig. 
 A are extracted from Mr, Carrier's work with his permis- 
 sion. The completeness with which this data has been 
 worked up permits almost any information desired to be 
 obtained from these two charts. 
 
 12. For Close Approximations and to avoid calculations, 
 the humidity chart, Fig. 7, may also be used in determining 
 relative humidity, absolute humidity, dew point, temperature 
 of wet bulb and temperature of dry bulb. On the left of the 
 chart is a scale referring to horizontal lines giving tempera- 
 tures of the wet bulb. The scale on the right hand, referring 
 to the lines curving downward from right to left, is the ^cale 
 of the room, or dry bulb, temperatures. The scale along the 
 bottom of the chart is one of relative humidity. The scale of 
 numbers up the center of the chart refers to the lines curving 
 downward from left to right, and indicates the absolute hu- 
 midity, i. e,, grains of moisture per cubic foot with the air. 
 The use of the chart may be most readily understood by a 
 few applications. 
 
 Application. — Given dry bulb 70 degrees and wet bulb CO 
 degrees. Determine relative humidity, absolute humidity, 
 temperature of dew point for room, etc. First, starting on 
 the right hand scale at 70, follow down the line this number 
 refers to until It crosses the horizontal line of 60 degrees, 
 wet bulb temperature. From this intersection drop to the 
 relative humidity scale and read there 55 per cent. This may 
 be checked with the table. To obtain the absolute humidity 
 't will be noticed that the intersection of the 70 degree and 
 
MEASUREMENT OF HUMIDITY 
 
 29 
 
 HYGROMETRIC CHART 
 
 OIVINO 
 
 HYGROMETER TEMPERATURES. RELATIVE HUMIDITY GRAINS OP MOISTURE PER CU FT. 
 
 140 
 
 130 
 
 120 
 
 110 
 
 100 
 
 30 40 50 60 70 
 
 RELATIVE HUMIDITY IN t»ER CENT. 
 
 Fig. 7. 
 
 80 
 
 90 100 
 
 NOTE. — Fig. 7 represents two charts in one. First: the dry bulb 
 temperature curve, -tthich drops to the left, unites with the wet bulb 
 and relative humidity coordinates. Second: the absolute humidity 
 curve, which rises to the left, unites with the dry bulb and relative 
 humidity coordinates. This makes it possible to use the two charts ar 
 one. through the relative humidity scale which is common to both. 
 
30 HEATING AND VENTILATION 
 
 55 per cent, coordinates shows 4.4 grains per cubic foot. If the 
 room should cool, the absolute humidity would remain the 
 same until the dew point is reached (neglecting air contrac- 
 tion), hence, following down the 4.4 grain line to 100 per cent. 
 gives the room temperature as 52 degrees, showing that if so 
 cooled the air would begin depositing nxoisture at this tem- 
 perature. Again if the room should heat to 90 degrees, the 
 relative humidity may be obtained by following the 4.4 
 grain line to its intersection with the 90 degree coordinate 
 line of room temperature, and from this intersection dropping 
 to the relative humidity scale, reading there 31 per cent. 
 Thus, having given air under any set of conditions, the 
 effect that a change in any one of these would have upon 
 the remaining may be obtained without calculations. 
 
 13. The Theoretical Amount of Moisture to be Added to' 
 Air so as to Maintain a Certain Humidity; — -Warm air has a 
 much greater capacity for holding moisture than cold air. 
 According to the law of Gay-Lussac, when air is taken 
 at a given outside temperature and heated for interior 
 service, the volume increases with the absolute tempera- 
 ture. See Art. 4. On the other hand the humidity de- 
 creases rapidly. Air thus treated becomes dry and unpleas- 
 ant to the occupants, as well as being detrimental to the 
 furnishings of the room. Some means should, therefore, be 
 provided to supply this moisture to the air current. 
 
 In calculating the amount to be added, let Q = volume 
 of aiir in cubic feet per hour entering the room at tlie reg- 
 ister; t = its temperature in degrees and T = (460 + f) = 
 its absolute temperature; let Q' and Qo = the correspond- 
 ing volumes after entering and before entering, with 
 *' and to the temperatures in degrees, and T' =■ (460 + t') 
 and To = (460 + to) the absolute temperatures; also, let u' 
 and Uo be the humidities, respectively, of the room air and 
 the outside air. Then, from the equations 
 
 TQ' = T'Q and TQo = ToQ (4) 
 
 find Q' and Qo. 
 
 From Table 10 or 12, Appendix, find the amounts of mois- 
 ture M' and Mo in one cubic foot of saturated air at the tem- 
 peratures f and to; multiply these by the respective humidi- 
 ties and volumes, and the difference between the two final 
 quantities will be the amount of moisture required per hour 
 as expressed by the formula 
 
 W = Q'M'u' — QoMoUo (5) 
 
MEASUREMENT OF AIR VELOCITIES 
 
 31 
 
 A — 
 
 Application. — Let Q = 5000, t = 130, f = 70, to = 30, u' = .50, 
 uo = .50, M' = 7.98, and Mo = 1.935, then 
 
 Q' = 5000 X 530 -7- 590 = 4490 
 
 Qo — 5000 X 490 -T- 590 = 4154 
 
 W = 13896 grains, or 1.983 pounds per hour. 
 This means that approximately 2 pounds of water would be 
 evaporated for every 5000 cubic feet of fresh air entering 
 the register under the above conditions. 
 
 14. Velocity in the Convection of Air by the Applica- 
 tion of Heat:— Let ho Fig. 8, be the height of the chimney 
 .,£■ or stack. If the temperature of the gasea 
 '< within the chimney D be the same as that 
 • of the entering air, then there will be no 
 — O natural circulation, because the column G D, 
 will just balance a corresponding column 
 A B upon the outside; but if the temperature 
 of the chimney gases C D and entering air 
 A B he tc degrees and to degrees, respectively, 
 the chimney gases being (tc — to) degrees 
 greater than that of the outside air, then, 
 upon entering the chimney, the gases will 
 become less dense and expand an amount 
 proportional to the absolute temperature. 
 With an outside column of ho feet in height, 
 it will then require a column within, ho + ho 
 feet in height to produce equilibrium; in oth- 
 er words, the column of gas producing mo- 
 Fig. 8. tion in the chimney has a height of he feet. 
 Assume, in the system of A B C D E, that the 
 cross sectio^ns at all points be uniform, then the volumes of 
 A B (imaginary column) and C E (actual column) are to 
 each other as their respective heights, i. e., 
 Vo :Vo + Vc : : ho :ho + he, or ho : 4Q0 -]- to :: ho + he : 460 + te 
 From this we obtain he (460 + to) = ho (tc — to) and 
 
 ho (tc — to) 
 
 6' 
 
 ho ^ 
 
 460 + to 
 
 (6) 
 
 Substituting for h in the equation v = \/2 gh, its correspond- 
 ing value he, we have 
 
 (7) 
 
 V = Vighc = 8.02 ^/ ft" (tc — to) 
 V 460 -h to 
 
 It is found in practice that the theoretical velocity as 
 given by this formula is never obtained, because of the 
 
32 HEATING AND VENTILATION 
 
 friction of the sides of the chimney and other causes. Mr. 
 Alfred R. Wolff quoted the actual discharge from the chim- 
 ney as 50 per cent, of the theoretical. This estimate may 
 be fairly correct for chimneys of the larger sizes, but may 
 not be realized on the smaller ones used in residences. As 
 the transverse area becomes smaller, the percentage of fric- 
 tion increases very rapidly and soon becomes the principal 
 factor. Prof. Kent assumes a layer of gas two inches thick 
 next the interior surface as being ineffective. This, If ap- 
 plied to small cross-sectional areas, increases the size of 
 the chimney rapidly from the calculated amount. 
 
 When formula 7 is applied to hot air stacks in the 
 heating systems, the friction is much less because of the 
 smooth interior, and the actual velocity of the air should 
 reach 60 to 70 per cent, of the theoretical. 
 
 15. Measurement of Air Velocities:— See also Arts. 123- 
 125. In ventilating work it is often of the greatest impor- 
 tance to determine air velocities accurately. The correct de- 
 termination of the sizes of air propelling fans or blowers 
 depends upon the ability to accurately measure the velocity 
 of delivery. In acceptance and other tests this measurement 
 is equally important. However, no entirely satisfactory and 
 trustworthy method of obtavining this measurement has as 
 yet been devised. 
 
 The velocity of moving air is most commonly measured 
 by means of a vane wheel instrument called the anemometer. 
 It consists essentially of a delicately pivoted wheel holding 
 from 6 to 15 vanes and similar to the common wind-mill 
 wheel. See Fig. 9. To the shaft is connected a recording 
 
 mechanism of some sort, the simplest 
 being merely dials which show the 
 velocity of the air traveling past the 
 instrument, by the reading of which 
 against a stop-watch, the speed per 
 unit of time may be obtained. Since 
 the instrument works ag«,inst the 
 friction of movdng parts, its readings 
 are subject to serious variation, and 
 even with frequent calibration, it is 
 not to be relied upon where results 
 are required accurate to within 20 
 per cent. Various tests of anemom- 
 Filg. 9. eters by comparison to the absolute 
 
PITOT TUBE 
 
 33 
 
 reading's of a gas tank have shown errotrs as high as 35 
 per cent, slow, to 14 per cent, fast, with the discharge from 
 pipes 8 inches to 24 inches in diameter. Hence, in general, 
 it is very safe to say that the anemometer as an instrument 
 for velocity measureiment in precise work should be used 
 with great care. 
 
 A second method of velocity measurement, and one 
 applying as readily to liquids as to gases, is that of using 
 the Pitot tube principle. "Whenever, in a liquid or gas, a 
 pressure produces a flow, part of this pressure, usually 
 termed the velocity head, is considered as transformed into 
 velocdty; while a second part, usually called the pressure 
 head, acts to produce pressure in the fluid. If now, as at 
 A, in Fig. 10, a tube be inserted into a pipe carryingr * 
 
 Fig. 10. 
 
 current of air or other moving fluid, and the end Of this 
 
 tube be bent so the plane of the opening is perpendicular 
 to the direction of the flow, a pressure in the tube will 
 result, due to both the velocity head and the pressure head; 
 and the difference in levels in the connected manometer 
 tube will indicate this sum of pressures in terms of inches 
 of water or mercury. If, however, a tube be inserted as at 
 B, with the plane of its opening parallel to the direction 
 of the flow, a pressure in the tube will result, due only 
 to the pressure head in the moving fluid; and the difference 
 in levels in the connected manometer tube will indicate this 
 pressure only. Then, by subtraction of the two manom- 
 eter readings, the velocity head only is obtained, expressed 
 in inches of water or mercury, whichever the manometer 
 may contain. v* 
 
 At C is shown the instrument as commonly applied, 
 with both tubes together and connected one to either leg 
 of the manometer tube so that the subtraction is automatic 
 
34 
 
 HEATING AND VENTILATION 
 
 and the difference in levels read is caused by the velocity 
 
 only. Having, then, the head of pressure due to velocity, 
 
 to find the actual velocity apply the formula v = VYgh where 
 
 V = velocity in feet per second, g = acceleration of gravity 
 
 in feet per second, per second, and h = the velocity head of 
 
 the air in feet. If the manometer contains water, then, 
 
 at 60 degrees, the ratio between the specific gravity of air 
 
 62.37 
 
 - = 816.4. See Tables 12 and 8, Appendix. 
 
 and water is 
 
 .0764 
 
 Hence the above formula may be reduced to the more read- 
 ily available form of 
 
 «=V' 
 
 2 X 32.16 X 816.4 X 
 
 12 
 
 or 
 
 r = 66.2 V /iio 
 
 (8) 
 
 where hu> = the difference in height in inches of the columns 
 of a water manometer, with both legs connected as described, 
 and a temperature of 60 degrees. By a similar method the 
 formula may be reduced for a mercury or other manometer, 
 or for other temperatures than 60 degrees. (See Art. 1021, 
 Trans. A. S. M. E. Vol. XXV.) 
 
 In using the Pitot tube or the anemometer, the fact 
 should not be lost sight of that the velocity varies from 
 a minimum at the inner walls of the tube to the maximum 
 at the center of the tube. It seems that the friction at the 
 Inner walls throws the moving fluid into a number of 
 concentric layers, those toward the center moving the fast- 
 est, those toward the Inner wall of the pipe the slowest. 
 With a circular tube, the variation of velocities of these 
 different layers may be approximately represented by the 
 abscissae of a parabola, Fig. 11, with its axis on the axis of 
 the circular pipe. Weisbach, on page 189 of his Mechanics of 
 
 Fig. 11. 
 
CHIMNEYS 35 
 
 Air Machinery, quotes tlie average speed at two-thirds of the 
 radius from the center, this value being obtained by ex- 
 periments. For conduits of other shapes the position of 
 mean velocity must be determined experimentally. This 
 variation of velocity from the center of the stream less- 
 ening- tow^ard the walls may possibly account for the varia- 
 tions shown by the anemometers. It is evident that 
 if such an instrument, with a given diameter of vane 
 wheel, be placed at the center of a pipe of large radius it 
 would tend to register a higher velocity than the average. 
 Automatic recording meters may be obtained for keep- 
 ing permanent records of the flow of air and steam through 
 pipes and ducts. The record from the meter indicates direct- 
 ly the cubic feet of free air or other fluid used during each 
 hour of the day. 
 
 16. Amount of Air Required to Burn Carbon: — The chief 
 product in the combustion of carbon with the oxygen of the 
 air is CO2. The atomic weight of carbon is 12 and that 
 of oxygen is 16, hence the chemical union of the two form- 
 ing CO2 is in the proportion of carbon 12 and oxygen 32 
 or as 1 : 2.66. For each pound of carbon consumed, 2.66 
 pounds of oxygen will be needed and the product will weigh 
 3.66 pounds. If pure air contains 23 per cent, oxygen, then 
 one pound of carbon will need 2.66 -^ .23 = 11.7, say 12 
 pounds of air for complete combustion. One cubic foot 
 of air at 32 degrees weighs .0807 pounds, then 12 -f- .0807 = 
 148 cubic feet of air necessary to burn one pound of car- 
 bon if all the oxygen of the air is burned. With volumes 
 proportional to the absolute temperatures, this air at 70 
 degrees would be 160 cubic feet; at 200 degrees, 200 cubic 
 feet; at 400 degrees, 260 cubic feet; and at 600 degrees, 320 
 cubic feet. 
 
 17. Probable Amount of Air Used: — It seems reason- 
 able to assume, however, that in practice from two to three 
 times as much air goes through a furnace as would be 
 needed for perfect combustion. Taking this at 2.5, then the 
 cubic feet of air found from the above would be approxi- 
 mately: 32 degrees, 370 cubic feet; 70 degrees, 400 cubic 
 feet; 200 degrees, 500 cubic feet; 400 degrees, 650 cubic feet; 
 and 600 degrees, 800 cubic feet. 
 
 18. To Determine the Transverse Area of a ChlmneT- 
 for Any Given Heigrht: — Substitute ho and the assumed 
 
36 HEATING AND VENTILATION 
 
 values of to and io in formula 7, Art. 14. From this find 
 the velocity of tlie chimney gases, and divide the total 
 volume of air used in any given time, Art. 17, by the corre- 
 sponding velocity. 
 
 19. Application io the Chimney of a lO-Room Resi- 
 dence: — Given: total heat loss from the building per hour, 
 10000 B. t. u.; coal, 13500 B. t. u. per pound; furnace 
 efficiency, 60 per cent.; temperature at bottom of chimney, 
 200 degrees F. ; height of chimney, 30 feet above the grate; 
 average temperature of chimney gases, 150 degrees. (The 
 greatest difficulty is experienced when the fire is first 
 started before the chimney is warmed up. The temperature 
 of the stack gases at such a time is very low.) Take the 
 outside air temoaerature, 40 degrees F., and find the size of 
 the chimney. 
 
 A heat loss of 100000 B. t. u. per hour will require 
 100000 -^ (13500 X .60) = 12.4 pounds of coal per hour at 
 the grate; 'then wdth a temperature of 200 degrees at the 
 bottom of the chimney, this will need to pass 500 X 12.4 = 
 6200 cubic feet of air per hour. The velocity of the chim- 
 ney gases, according to formula, is 20.5 feet per second or 
 73800 feet per hour. Assuming the real velocity to be 
 25 per cent, of this amount, we have approximately 18450 
 feet per hour; then the net sectional area is 6200 -^ 18450 
 = .34 square foot or 49 square inches. To fit the brick 
 work this would probably be made 8 inches X 8 inches. 
 
 20. All Chimneys should have a Smooth Finish on the 
 Inside: — -Probably the best arrangement that can be made 
 is to build the chimney of hard burned brick around hard 
 burned tiles of suitable internal size. These tiles can be 
 had of outside sizes such that they can easily be made to 
 work in with the brick work. Table 15, Appendix, shows 
 chimney capacities that will be safe in average practice. 
 Flues should preferably be made round in section, as this 
 form presents less friction to the gases than any other. 
 Flues should never be built less than ten inches in diam- 
 eter, or eight by ten inches rectangular. Tlie value of a 
 flue depends very much upon the volume of passage due 
 to area, and velocity due to height. Velocity alone is no 
 proof of good draft for there must also be sufficient area 
 to carry the smoke. The top of a chimney with reference 
 
CHIMNEYS 37 
 
 to its position relative to neighboring structures is a very 
 important consideration. If the top is below any nearby 
 portion of the building, eddy currents tending to enter the 
 top of the flue may be formed and seriously reduce the draft. 
 Under such conditions a shifting cowl, which always turns 
 the outlet away from adverse currents, may be advisable. 
 Good draft is very essential to the success of any type of 
 heating system, and the purchaser of a furnace or heater 
 should be required to guarantee sufficient draft before a 
 maker is expected to guarantee a stated rating of his 
 furnace or heater, 
 
38 HEATING AND VENTILATION 
 
 REFERENCES. 
 
 References on Ventilation und the Air Supply 
 
 Technical Books. 
 
 Moore, The School House, p. 24. Monroe. Steam Heat, d Vent., 
 p. 99. Carpenter, Heat, d Vent. Bldgs., p. 21. Hubbard, Power, 
 Heat. & Tetit., p. 408. Allen, Notes on Heat. & Tent., p. 91. 
 Ency. Brit., Vol. XXIV, p. 157, also Vol. XX, p. 474. 
 
 Technical Periodicals. 
 
 Engr. Rev., Sanitation and Ventilation in Boston School 
 Houses, W. B. Snow, March 1908, p. 15, Subwy Ventilation, 
 J. B. Holbrook, Jan. 1905, p. 18. Ventilation of School Rooms, 
 Nov. 1905, p. 6, Heat. & Yent. Magazine. A Scotchman's Notes on 
 Ventilation, Alex. Mackenzie, May 1906, p. 15. Air Analysis as 
 an Aid to the Ventilating- Engineer, J. R. Preston, Oct. 1906, 
 p. 11. Domestic Engineering. Ventilation in its Relation to Health 
 W. G. Snow. Vol. 52, No. 4. July 23, 1910, p. 102; Vol. 52, No. 
 6, Aug. 6, 1910, p. 154. Ventilation of Isolated Offices. C. L. 
 Hubbard, Vol. 45, No. 10, Dec. 5, 1908, p. 274. Humidity, 
 Its Necessity and Benefits, W. W. Brand, July 1910. 
 The Permanent Place of the Air W'asher in Heating 
 and Ventilating Work, Feb. 1910. Trans. A. S. H 
 d V. E. The Necessity of Moisture in Heated Houses, R. C. 
 Carpenter, Vol. X, p. 129. Need of Ventilation in Heated 
 Buildings, Vol. X, p. 183. Changing the Air in a Building, 
 Vol. X, p. 285. Effect of Humidity on Heating Systems, Vol. 
 IX, p. 323. Necessity of Ventilation, H. Eisert. Vol. V. p. 57. 
 The Engineering Magazine. Humidifiers, — Their Principles and 
 Useful Applications. S. H. Bunnell. June 1910. The Heating, 
 Ventilating and Air Conditions of Factories. P. R. Moses, 
 Aug. and Sept. 1910. Engineering Record. Ventilation of Three 
 Basement Floors of the Marshall Field Retail Store, Chica- 
 go, Jan. 23, 1909. Ventilation of a Newspaper Photo-En- 
 graving Plant, June 26, 1909. Ventilation of the First 
 Church of Christ, Scientist, Boston. Sept. 19, 1908. The Ven- 
 tilation of a Weave Shed, Aug. 8, 1908. Ventilation of the Bat- 
 tery Tunnels of the New York Subway Extension to Brook- 
 lyn, Oct. 5, 1907. Railway Tunnel Ventilation, Feb. 20. 1904. 
 Railtcay Age Gazette. Detroit Return Trap System, July 23, 
 1909, p. 175. Washington Union Station Ventilation. June 
 
 12, 1908, p. 84. Heating and Ventilating the Storage Battery 
 Stations on the New York Central & Hudson River, April 
 
 13, 1908, p. 489. Ventilation and Heating of Engine Round- 
 houses as Adopted bv the New York Central Lines. June 18. 
 1909, p. 1335. The Metal Worker. A Remarkable Theatre Ven- 
 tilation Plant. Jan. 15. 1910. p. 63. An Interesting Factory 
 Ventilation Plant. Jan. 15. 1910. p. 90. Ventilation of Factories, 
 A'uditoriums. Stores and Schools in Chicago. Mav 7. 1910, p. 
 634. Ventilation in Relation to Health, Wm. G. "Snow. June 
 25. 1910, p. 866; July 30. 1910. p. 142. Heating and Ventilat- 
 ing Plant Complying with Factory Law, July 10. 1909. p. 
 41. Heating from a Physician's Standpoint. Mav 14. 1910. 
 p. 658. Ventilating a Restaurant. Sept. 25. 1909. p. 39. 
 CasHier'H Magazine. The Purification of Air. Oct. 1910. 
 
CHAPTER III. 
 
 HEAT LOSSES PROM BUILDINGS. 
 
 21. Loss of Heat by Conduction and Radiation: — In 
 
 planning- the heating system for any building, the first and 
 probably the most important part of the work is to esti- 
 mate the total heat loss per hour from the building. Un- 
 fortunately this is the part which is the least open to 
 satisfactory calculations and we find little valuable theo- 
 retical data upon the subect. 
 
 Heat is lost from a building in two ways, by radiation 
 and by convection, 1. e., that transferred through walls, win- 
 dows and other exposed surfaces by conduction and lost 
 by radiation; 'and that carried off by the movement of the 
 air as it passes out through the openings- in the building 
 to the outside air. The radiation loss is usually of greater 
 importance, but the convection loss is of much more im- 
 portance than is generally considered. In the average 
 building both of these values are difficult to determine. 
 
 Radiation losses are considered under various heads, 
 such as glass, wall, floor, ceiling and door losses. Concern- 
 ing the conduction of heat through these various materials, 
 the available data have been obtained by experimentation 
 and do not agree very closely. Peclet in France, and Gras- 
 hof, Rietschel, Klinger and Rechnagel in Germany, each 
 carried on experimental research to determine the heat 
 transmission through various materials and structures. 
 These published data form the basis for a large part of the 
 heat loss calculations of the present time. Much valuable 
 material can be found in the more recent writings of 
 Hood, Wolff, Box, Carpenter, Kinealy, Allen, Hogan, Hub- 
 bard and others, but many of the values quoted are only 
 
 rough approximations at best. The reason for so much 
 uncertainty in this part of the work is found in the fact 
 that there are such great differences in methods of build- 
 ing ^ '^onstruction. Conductivity tests for the various ma- 
 terials have been satisfactorily made, but when these same 
 materials have been put into a building wall the quality 
 of the workmanship often permits more heat loss by con- 
 
40 HEATING AND VENTILATION 
 
 vection than would be transmitted through the materials 
 themselves. The values quoted for brick walls and glass 
 agree fairly well. The greatest difficulty is found in the 
 balloon-framed building with its studded walls, where the 
 dead air space in a well constructed wall may be a good 
 non-oonductor, or where, on the other hand, the same space 
 in a poorly constructed wall may become a circulating air 
 space to cool the walls by the movement of the air. 
 
 Table IV has been compiled from a number of the 
 best references as stated above, and represents a fair aver- 
 age of all of them. The value K (rate of transmission), in 
 some of the references, varied for the same material, being 
 somewhat greater for small temperature differences than 
 where the temperatures differed widely. In general, the 
 transfer af heat through any substance is about propor- 
 tional to the difference of the temperature between the two 
 sides of the substance. This was noticeably true for most 
 of the quotations. 
 
 TABLE IV. 
 
 Conductivities of Building Materials. 
 
 it = B. t. u. transmitted per sq. ft. per hour per degree dif. 
 
 Materials. K. 
 
 Brick wall, 8" 4 
 
 Brick wall, 12" 31 
 
 Brick wall, 16" 26 
 
 Brick wall, 20" 23 
 
 Brick wall, 24" 21 
 
 Brick wall, 28" 19 
 
 Brick wall, 32" 17 
 
 Brick wall, furred, use .7 times non-furred in each case. 
 Stone wall, use 1.5 times brick wall in each case. 
 
 Windows, single glass '. i.O 
 
 Windows, double glass 6 
 
 Skylight, single glass 1.1 
 
 Skylight, double glass 7 
 
 Wooden door, 1" 4 
 
 Wooden door 2" 36 
 
 Solid plaster partition, 2" 6 
 
 Solid plaster partition, 3" 5 
 
 Ordinary stud partition, l-ath and plaster on one side 6 
 
HEAT LOSSES FROM BUILDINGS 41 
 
 Ordinary stud partition, lath and plaster on two sides.. .34 
 
 Concrete floor on brick arch 2 
 
 Fireproof construction as flooring 1 
 
 Fireproof construction as ceiling 14 
 
 Single wood floor on brick arch , . .15 
 
 Double wood floor, plaster beneath 10 
 
 Wooden beams planked over, as flooring 17 
 
 Wooden beams planked over, as ceiling 35 
 
 Walls of the average wooden dwelling 25 to .30 
 
 Lath and plaster ceiling, no floor above 62 
 
 Lath and plaster ceiling, floor above 25 
 
 Steel ceiling, with floor above 35 
 
 Single %" floor, no plaster beneath 45 
 
 Single %" floor, plaster beneath 26 
 
 Occasionally it is convenient to reduce all radiating 
 surfaces to equivalent wall surface and take account of the 
 heat losses as a part of the wall. 
 
 The following equivalents for doors, floors and ceilings 
 have been found to give good results: 
 
 Doors not protected by storm doors or vestibule = 200% of 
 equal wall area. 
 
 Floor over unheated space. Air circulation = same as wall. 
 Floor over unheated space. Still air = 40% of equal wall area. 
 Ceiling below unheated space. Air circulation = 125% of 
 equal wall area. 
 
 Ceiling below unheated space. Still air = 50% of equal wall 
 area. 
 
 In all references from French and German authorities, 
 one is impressed by the extreme care and exactness with 
 which every detail is worked out, even to those minor parts 
 usually considered in this country of no special moment. 
 
 Table IV has been reduced to chart form, Fig. 12, where 
 the table values agree with — 10° outside temperature and 
 wind velocity. The application of this chart is as follows: 
 Assume the outside temperature — 10°, still air, inside tem- 
 perature 70°, south exposure. WTiat is the heat loss from 
 a square foot of 12 inch brick wall, also from a square foot 
 of single glass window? Beginning at the right of the 
 chart at — 10° outside temperature trace to the left to the 
 wind velocity, then up the ordinate to the 12 inch wall 
 
42 
 
 HEATING AND VENTILATION 
 
 (interpolate between 8 and 16), then to the left to the line 
 indicating 70" inside temperature, then down to the south 
 exposure, then to the left showing 25 B. t. u. transmitted 
 
 Fig. 12. 
 
 per hour. For the glass, trace from — 10° to the wind 
 velocity, then up to the single window, then to the left to 
 the inside temperature, 70°, then down to south exposure. 
 
ESTIMATION OF HEAT LOSS 43 
 
 then to the left showing- 80 B. t. u. per square foot per hour. 
 Checking this with the table for a 12 inch brick wall we 
 have .31 X 80 = 24.8 B. t. u. For glass 1 X 80 = 80. The 
 values given in the table must be increased for west, north 
 and east exposures. The effect of the wind velocity upon 
 the heat loss is very ^marked. Locations subjected to high 
 winds should have extra allowance made. For example, 
 take the 12 inch brick wall just mentioned. Assume the 
 wind to be 30 miles an hour. By the same process as before 
 we find for a south exposure, 36 B. t. u. loss as compared to 
 25 with wind velocity. 
 
 22. L.OSS of Heat by Air Leakage : — The exact amount 
 of air leaving a building by leakage is impossible to de- 
 termine. Many experiments have been carried on in the 
 last few years to determine the amount of leakage around 
 windows and doors. These in the specific cases have been 
 successful, but no actual values can be quoted for general 
 use. Again, a considerable amount of air passes through 
 the walls, thus rendering the case more complicated. In all 
 the experiments, however, it has been found that these 
 losses have been much greater than was supposed. In rooms 
 not heavily exposed, or in touch w^ith heavy winds, two 
 changes per hour may be safely allowed for all leakage 
 losses. 
 
 23. Exposure Losses and Other L.osses: — Radiation 
 losses are much greater on the exposed or windward side of 
 the building. Moving air passing over the surface of any 
 radiating material will wipe the heat off faster than would 
 be true of still air. The north, north-west and the north- 
 east in most sections of the country get the highest winds 
 and have the least benefit of the sun and are therefore 
 counted the cold portions of the building. In figuring a 
 building it is customary to figure each room as though it 
 were a south room, which is assumed to need no additions 
 for exposure, and then add a certain percentage of this 
 loss for exposure to fit the location of the room. The exact 
 amount to add in each case is Largely a matter of the judg- 
 ment of the designer, who, of course, is supposed to know 
 the direction of the heavy winds and the protection that 
 is afforded by surrounding buildings. A wide variety of 
 values covering the American practice might be quoted for 
 this, but the following will give satisfactory results: 
 
44 HEATING AND VENTILATION 
 
 TABLE V. 
 
 North, north-east and north-west rooms heavily exposed, 
 
 10-20 per cent 
 
 East or west rooms moderately exposed .... 5-10 per cent. 
 
 Rooms heated only periodically 20-40 per cent. 
 
 The German practice is somewhat more extreme than 
 
 ours in this part of the work: 
 
 North, north-east and north-west rooms heavily exposed 
 
 15-25 per cent. 
 
 East and west rooms 10-15 per cent. 
 
 Surfaces exposed to heavy winds 10-20 per cent. 
 
 Heat interrupted daily but rooms kept closed 10 per cent. 
 
 Heat interrupted daily but rooms kept open 30 per cent. 
 
 Heat off for long- periods 50 per cent. 
 
 Rooms 12 to 14% feet from floor to ceiling .. 3 per cent. 
 
 Rooms 14% to 18 feet from floor to ceiling ... 6 per cent. 
 
 Rooms 18 feet and above from floor to ceiling 10 per cent. 
 
 24. Loss of Heat by Ventilation: — A certain amount of 
 fresh air leaks into every building and displaces an equal 
 amount of warm air, but this amount of fresh leakage air 
 is not considered sufficient for good ventilation. When 
 warm air is displaced either by leakage or by ventilation, 
 it is exhausted to the outside air and as it leaves the room 
 carries a certain amount of heat with it. This is a direct 
 loss and should be taken into account. 
 
 Since the loss by leakage is practically the same for 
 all systems of heating, it is accounted for in the ordinary 
 heat loss formula, but losses by ventilating systems must 
 be considered In '^xcess of this amount. Let Q' = cubic feet 
 of fresh air supplied per hour, t' — to = drop in temperature 
 from the inside to the outside air; then the heat lost by ex- 
 hausting the air, Art. 27, is 
 
 0' «' — to) 
 
 55 
 
 25. Two General Methods of Eiitimatinsr the Kent Loss B 
 from a Bulldlngr arc in Common line: — First, estimate all 
 radiation losses and add to their sum a certain per cent. 
 
ESTIMATION OF HEAT LOSS 45 
 
 of itself to allow for leakage by convection; second, esti- 
 mate all radiation losses and add to their sum a certain 
 amount which depends upon the volume of the room. The 
 first is by Equivalent Radiating Surfaces only and the second is 
 by Equivalent Radiating Surfaces and Volume combined. 
 
 26. Method No. 1: — Figuring by Equivalent Radiating 
 Surface. — Let H ■-- B. t. u. heat loss from room per hour; 
 G = exposed glass in square feet; W = exposed wall minus 
 glass, plus exposed doors reduced to equivalent wall surface 
 in square feet; F = floor or ceiling separating warm room 
 from unheated space; tn = difference between room temper- 
 ature and outside temperature; tv = difference between 
 room temperature and temperature of the unheated space; 
 K, K' and K" = coefficients of heat transmission; o = per- 
 centage allowed for exposure and h = percentage allowed 
 for loss by leakage, varying in per cent, of other losses 
 from 10 in the average house to 30 in the house of poor 
 construction. 
 
 From the above, we have 
 
 H = (KGtx + K'Wtx + K"Fty) (1 + a + 6) (10) 
 
 (Application. — ^Assume the sitting room. Fig. 15, to have 
 a total exposed wall surface, W, exclusive of glass, 242 
 square feet; total exposed glass, (?, 38 square feet; and 
 floor, F, 195 square feet. Assume that all the rooms are 
 heated to 70 degrees with an outside temperature of zero 
 degrees and that all workmanship is fair. Assume also the 
 floor to be of the ordinary thickness and not ceiled below, with 
 a temperature below the floor of this room of 32 degrees; 
 and that two people are using the room. Under such con- 
 ditions what is the heat loss from the room? Since this 
 is a south room there is no exposure loss and a = 0. Then 
 assuming 6 = .20 we have 
 
 H = (1 X 38 X 70 + .3 X 242 X 70 + .45 X 195X 38) (1 + .20) 
 = 13270 B. t. u. 
 
 Good judgment will be necessary in selecting the proper 
 outside temperature for the calculation. The value of this 
 outside temperature varies -among men in the same locality 
 as miuch as 20 degrees. In t'he above application if to = — 
 20° and the 'temperature of the unheated space below the 
 floor remains at 32 degrees, formula (10) becomes H = 15946 
 B. t. u. See discussion of this point under Art. 60. 
 
46 HEATING AND VENTILATION 
 
 27. Method No. 2: — Figuring- by Equivalent Radiating 
 Surface and Volume. — The general formula for this is 
 
 H = iKGtm + K'Wtm + K"Ftv + oc nCU) (1 + a) (11) 
 
 where U, K, O, U, ty, W, F and a are as given above; = oubic 
 volume of the room; n = number of times the air is sup- 
 posed to change in the room by leakage and convection per 
 
 hour, recommended, 1 to 2; oc = -^ and is usually taken .02 
 for convenience of calculation. This constant refers to the 
 heat carried away by the air. The specific heat of the air 
 at 32 degrees is .238; then the number of pounds of air 
 heated from 32 to 33 degrees by 1 B. t. u. is 1 -r- .238 = 4.2. 
 Now if the weight of a cubic foot of air at 32 degrees is .0807 
 pounds, we would have 4.2 -^ .0807 = 52 cubic feet of air 
 heated from 32 to 33 degrees by 1 B. t. u. However, most 
 of the heating is not done at from 32 to 33 degrees but 
 from 32 to 70 degrees, in which case, the volume of air 
 heated from 69 to 70 degrees by 1 B. t. u. is 52 X 530 -r- 
 492 = 56 cubic feet. See absolute temperature. Art. 4. It 
 is evident that some approximation must here be made. No 
 exact value can be taken because of the great range of 
 temperature change of the air, but 55 is commonly used 
 as the best average. The difficulty of handling formula 
 
 with the constant ^ has Jed to the simple form .02. (See 
 
 55 
 last column Table 12, Appendix.) 
 
 Application. — With the same room as used in Application 
 1, we have, if a = 0, 
 
 ^ = (1 X 38 X 70 + .3 X 242 X 70 + .45 X 195 X 38 + 
 .02 X 1 X 1950 X 70) (1 -f 0) = 13806 B. t. u. 
 
 28. Method No. 3t — Professor Carpenter reviews the 
 work of the various authors and quotes bhe following 
 formula, which Is the same as that given in Method No. 2 
 in a more simplified form, with the terms the same as 
 before: 
 
 H = (O + .25 TF + .02 nC) U (12) 
 
 In his opinion 'the very elaborate methods sometimes used 
 are unnecessary. K may be assumed .25 for any ordinary 
 wall surface, brick or frame, and the ceilings adjoining an 
 attic or the floors above a cellar of the average house need 
 not be considered. Floors above an unexcavated space 
 where no heat is obtained from the furnace and where there 
 
ESTIMATION OF HEAT LOSS 4/ 
 
 Is more or less circulation of air should no doubt have 
 some allowance. This would probably be the same as given 
 in Art. 21. The values of n are quoted by the same author- 
 ity as follows: 
 
 "Values of w. 
 
 Residence heating, halls, 3; sitting room and rooms on the 
 first floor, 2; sleeping rooms and rooms on second floor, 1. 
 Stores, first floor, 2 to 3; second floor, 1*^ to 2. 
 Offices, first floor, 2 to 2^^; second floor, li/^ to 2. 
 Churches and public assembly rooms, ■% to 2. 
 Large rooms with small exposure, ^ to 1. 
 
 Applicatiok. — Assuming the same room as before, 
 Zr = [38 + .25 (242 + .4 X 195) + .02 X 2 X 1950] 70 = 13720. 
 
 29. Combined Heat Loss H^ = (H + Hv) : — In buildings 
 where ventilation is provided, the total heat loss is that lost 
 by radiation, H, + that lost by ventilation, Hv, (isee also Art. 
 36). Letting Qv = cubic feet of air needed per hour for 
 
 ventilation, we have 
 
 Qv tx 
 
 H' — H -\ (13) 
 
 55 
 
 Rule. — "-To find the total heat loss from any building, add to 
 the heat loss calculated by formula, the amount found by multiply- 
 ing the num,ber of cubic feet of ventilating air exhausted from the 
 building per hour by one-fifty-fifth of the difference between the in- 
 side and outside temperatures. 
 
 30. Temperatures to be Considered: — The tem-perature 
 maintained in heated rooms in this country is 70 degrees. 
 Outside temperatures used in figuring heat losses are gen- 
 erally taken, southern part, + 10 degrees; northern part — 
 20 degrees; ordinary value, degrees. (See Art. 60.) 
 
 The German Government requires estimates on the fol- 
 lowing temperatures, as quoted in "Formulas and Tables 
 2o< Heating," by Prof. J. H. Kinealy. 
 
48 HEATING AND VENTILATION 
 
 TABLE VL — Values of t'. 
 
 The temperatures of heated rooms are generally as- 
 sumed by the German Engineers to be as follows: 
 
 Rooms in which the occupants are for the most part at rest: 
 Living rooms, business rooms, court houses, offices, 
 
 schools 68 
 
 Lecture halls and auditoriums 61 to 64 
 
 Rooms used only as sleeping rooms 54 to 59 
 
 Bath rooms in dwellings 68 to 72 
 
 Sick rooms 72 
 
 Rooms in which the occupants are undergoing bodily ex- 
 ertion: 
 
 Workshops, gymnasiums, fencing halls, etc., in which 
 
 the exertion is vigorous 50 tO 59 
 
 Workshops in which the exertion is not so vig- 
 orous 61 to 64 
 
 Rooms used as passage rooms or occupied by people in 
 street dress: 
 
 Entrance halls, passages, corridors, vestibules 54 to 59 
 
 Churches 50 to f>i 
 
 Miscellaneous: 
 
 Prisons for tlie confinement ot prisoners during 
 
 the day 64 
 
 Prisons for the confinement of prisoners during 
 
 the night 50 
 
 Hot houses 77 
 
 Cooling houses 59 
 
 Bath houses: 
 
 Swimming halls 68 
 
 Treatment rooms, massage rooms 77 
 
 'Steam bath 113 
 
 Warm air bath 122 
 
 Hot air bath 140 
 
ESTIMATION OF HEAT LOSS 
 
 49 
 
 TABLE VIL 
 Values of to When Applied to a Room. 
 
 The temperatures of rooms not heated are quoted as 
 follows, with the outside air at 4 degrees below zero: 
 
 Cellars and rooms kept closed 32 
 
 Rooms often in communication with the outside air, 
 such as passages, entrance halls, vestibules, etc. 23 
 Attic rooms immediately beneath metal or slate 
 
 roof 14 
 
 Attic rooms immediately beneath tile, cement, or 
 tar and gravel roof 23 
 
 31. Heat given off from Lig^hts and from Persons 
 Within the Room: — As a credit to the heating system, some 
 heating engineers take account of the heat radiated from 
 
 the lights and the persons within the room. The following 
 table by Rubner is quoted by Prof. Kinealy: 
 
 TABLE Vlli. 
 
 Gas, ordinary split burner, B. t. u. per candle power hr. 300 
 
 Gas, Argand 
 
 Gas, Auer 
 
 Petroleum 
 
 Electric, incandescent 
 
 Electric, arc 
 
 200 
 
 31 
 160 
 
 14 
 4.3 
 
 According to Pettenkofer, the mean amount of heat 
 given off per person per hour is 400 heat units for adults 
 and 200 for children. 
 
50 HEATING AND VENTILATION 
 
 RBFERENCBS. 
 
 References on Heat Liosses and Radiation. 
 
 Technical Books. 
 
 Snow, Principles of Heat., p. 54. Carpenter, Heating and 
 Ventilating Bldgs., p. 64. Hubbard, Potcer, Heat, and Vent., p. 417. 
 Allen, Notes on Heat, and Vent., p. 13. 
 
 Technical Periodicals. 
 Engineering Review. Air Leakage Around Windows; Its 
 Prevention and Effects on Radiation, Harold McGeorge, Feb. 
 1910, p. 64. The Heating and Ventilating Magazine. Austrian Co- 
 efficients for the Transmission of Heat through Building Ma- 
 terials, W. W. Macon, Feb. 1908, p. 36. Air Leakage through 
 Windows and its Effect Upon the Amount of Radiation, B. 
 S. Harrison, Nov. 1907, p. 18. Air Leakage Around Windows 
 and its Prevention, H. W. Whitten, Dec. 1907, p. 20. Deriva- 
 tion of Consrtants for Building Losses, R. C. Carpenter, 
 March 1907, p. 34. Methods of Estimating Heat Losses from 
 Buildings, C. L. Hubbard, Sept. 1907, p. 1. Trans. A. 8. H. A 
 V. E. Heat Losses and Heat Transmission, Walter Jones, 
 Vol. XII, p. 233. Loss of Heat through Walls of Buildings, 
 R. C. Carpenter, Vol. VIII, p. 96. Engineering Record . An In- 
 vestigation of the Heat Losses in an Electric Power Station, 
 Jan. 16, 1909, p. 77. Derivations of Constants for Bldg. 
 Losses, R. C. Carpenter, Feb. 23, 1907. p. 214. The Metal Worker. 
 Humidity of Air and Its Determination, with Chart, Aug. 21, 
 1909, p. 56. Heating Water by Steam, Sept. 18, 1909, p. 53. 
 Coal Consumption in Two English Hot Water Heating 
 Plants, Sept. 19, 1908, p. 47. School House Warming and 
 Ventilation, Serial, Jan. 6, 1906, p. 58. Potcer. Heat Trans- 
 mission through Corrugated Iron, A. H. Blackburn, Oct. 29, 
 1912. Coal Required to Heat Modern City Building, E. F. 
 Tweedy, Jan. 16, 1912. 
 
CHAPTER IV. 
 
 FURNACE HEATING AND VENTILATING. 
 
 PRINCIPLES OF DESIGN. 
 
 32. Furnace Systems Compared Trltli Other SystemM: — 
 
 The plan of heating residences and other small buildings 
 by furnace heat, in which the air serves as a heat carrier, is 
 a very common one in this country. Some of the points in 
 favor of the furnace system are: low cost of installation, 
 heating combined with ventilation, and the rapidity with 
 which the system responds to light service or to sudden 
 changes of outdoor temperatures. Compared with that of 
 other heating systems, the furnace system can be installed 
 for one-third to one-half the cost. In addition to this, the 
 fact that ventilation is so easily obtained, and the fact that 
 a small fire on a mild day may be sufficient to remove the 
 chill from all the rooms, give this method of heating many 
 advocates. The objections to the system are: cost of operation 
 when outside air is circulated, difficulty of heating the 
 windward side of the house, and the contamination of the 
 air supply by the fuel gases leaking through the joints In 
 the furnace. In a good system well installed, the only 
 objection to be seriously considered is the difficulty of heat- 
 ing that part of the house subjected to the pressure of the 
 heavy wind. The natural draft from a warm air furnace 
 is not very strong at best and any differential pressure 
 in the various rooms will tend to force the air toward the 
 direction of least resistance. The cost of operating can be 
 controlled to the satisfaction of the owner, consistent to his 
 ideas of the quality of the ventilation needed. Arrange- 
 ments may be made to carry the warm air from the room 
 back again to the furnace to be reheated, in which case, 
 if the fresh air be cut off entirely, the cost of heating is 
 about the same as that of any system of direct radiation 
 having no provision for ventilation. Any amount of fresh 
 air, however, may 1 '^ taken from the outside for the pur- 
 pose of ventilation, thus requiring the same amount of air 
 
62 
 
 HEATING AND VENTILATION 
 
 to be exhausted at the room temperature and causing an 
 increased cost of operation, as discussed in Art. 36. 
 
 33. Essentials of the Furnace System: — Fundamentally, 
 this installation must contain: first, a furnace vipon proper 
 settings; second, a carefully designed and constructed sys- 
 tem of fresh air supply and return ducts; and third, the 
 warm air distributing leaders, stacks and registers. Fig. 
 13 shows, in elevation, a connmon arrangement of these 
 essentials, and gives, also, the air circulation by arrovv 
 
 Fig. 13. 
 
 directions. The installation shown is rendered flexible in 
 operation by the basement dampers, proper adjustment of 
 which will allow fresh air to be taken from either side 
 
FURNACE HEATING 53 
 
 of the house or furnished to the pit under the furnace by the 
 duct from the first floor rooms. This return register Is 
 usually placed in the hall, under the stairway, or in some 
 room which is generally in open connection with the other 
 roomis on the first floor, as a large living room. 
 
 34. Points to b,e Calculated in a Furnace Design: — Be- 
 sides the calculated heat loss, H, which of course would 
 probably be the same for all methods of heating, other 
 points in furnace design would be taken up in the follow- 
 ing order: first, find the cubic feet of air needed as a 
 heat carrier and determine if this amount of air is sufllcient 
 for ventilation; then calculate the areas of the following: 
 net heat register, gross heat register, heat stack, net 
 vent register, gross vent register, vent stack, leader pipes, 
 fresh air duct and total grate area. From the total grate 
 area the furnace may be selected. 
 
 35. Air Circulation in Furnace Heating; — The use of air 
 
 in furnace heating may be considered from two standpoints, 
 each very distinct in Itself. First, air as a heat carrier; 
 second, air as a health preserver. The first may or may not 
 provide fresh air; it merely provides enough air to carry 
 the required amount of heat from the furnace to the rooms, 
 i. e., to take the place of the heat lost by radiation plus 
 the small amount that is carried away by the natural in- 
 terchange of air from within to without the building, as 
 would be true in any residence that is not especially planned 
 to provide ventilation. With certain allowable temperatures 
 at the various parts of the system, this volume of air may 
 be easily calculated. One point here should be remembered: 
 when the cubic feet of air per hour as a heat carrier is 
 found at the register, this volume remains the same, no 
 matter if it enters the furnace through a duct from within 
 or without the building. So this plan may be both a heat 
 carrier and a ventilator if desired, subject only to the 
 amount of air required. The seco- plan requires that 
 enough air be sent to the rooms to provide ventilation. If 
 this amount is less than that needed as a heat carrier, all 
 well and good, the first amount will be used; but if it 
 should be greater, then the first amount will need to be 
 Increased arbitrarily to agree. This increased volume will 
 then be used instead of that calculated as a heat carrier 
 
54 HEATING AND VENTILATION 
 
 only. As previously stated, the cubic feet of air per hour 
 as a ventilator may be taken as 1800 N, where N is the 
 number of persons to be provided for. See Art. 9. 
 
 36. Air Required per Hour as a Heat Carrier :»A safe 
 temperature /, of the circulating air as it leaves the heat 
 register, is 130 degrees. This may at times reach 140 de- 
 grees but it is not well to use the higher value in the 
 calculations. If, as is nearly always the case, the room 
 air temperature, f, is TO degrees, the incoming air will 
 drop in temperature through 60 degrees and, since one cubic 
 foot of air can be heated through 55 degrees by one B. t. u. 
 (see Art. 27.), it will give off 60 h- 55 = 1.09 (say 1.1) B. t. u. 
 
 Let Q = cubic feet of air per hour as a heat carrier: H 
 = total heat loss In B. t. u. per hour by formula; t = tem- 
 perature of the air at the register; and f = temperature of 
 the room air; then 
 
 55 H 
 
 Q = (14) 
 
 t — f 
 
 Rule. — To find the cubic feet of air necessary to carry the heat 
 to the rooms, multiply the heat loss calculated by formula by fifty- 
 five and divide by the difference between the register and the room 
 temperatures. 
 
 For ordinary furnace work this becomes 
 
 H 
 
 Q = 
 
 1.1 
 
 Now if this air is not allowed to escape from the building, 
 Jig. 13, but is taken back to the furnace and recirculated, 
 the only loss of heat will be H, that calculated by the 
 formula; but as a matter of fact, air thus used would soon 
 become contaminated and wholly unfit for the occupants to 
 breathe, hence, it is customary to exhaust through ventil- 
 ating flues, either a part or all of the air sent from the 
 furnace. This makes an additional loss of heat from 
 the building corresponding to the drop In degrees from 70 
 to that of the outside air. Let the temperature of the out- 
 side air, to, be degrees, then the resulting heat loss would 
 be (see also Art. 110 on blower work.) H' = U plus (f — to) 
 divided by 55 and multiplied by the amount of air intro- 
 duced for ventilation. Stated as a formula for the special 
 conditions, this becomes 
 
 H' = H + 1.27 Q, (15) 
 
FURNACE HEATING ff6 
 
 Take for illustration the Sitting Room, Pig. 15, and 
 consider it under three conditions on a zero day: first, when 
 all the air is recirculated; second, when only enough air is 
 exhausted to give good fresh air for ventilation; third, 
 when all the air is exhausted. Under the first case the loss 
 H, by formula is, say, 14000 B. t. u. per hour and no other 
 loss is experienced. In the second case, let three people oc- 
 cupy the room and allow 1800 cubic feet of fresh air per hour 
 for each person, or a total of 5400 cubic feet per hour, then 
 the total heat loss from the room will be. Formula 13, 
 14000 + 5400 X 70 -^ 55 = 20873, say 21000 B. t. u. The 
 third case, where all the air is exhausted, gives 14000 -j- 1.1 
 = 12727 cubic feet of fresh air exhausted at 70 degrees, 
 which requires the same amount of fresh air being raised 
 from zero to 70 degrees to replace it. This necessitates the 
 application of 12727 X 70 -i- 55 = 16198 B. t. u. additional, 
 or a total heat loss of 30198, say 30000 B. t, u. per hour. 
 
 The second condition is that which would be found most 
 satisfactory. It is evident from inspection that the cubic 
 feet of air necessary as a heat carrier will supply excessive 
 air for ventilation in the average residence, and the de- 
 signer need not necessarily consider the amount of air for 
 ventilation except as he wishes to investigate the size of 
 the furnace, the amount of coal burned or the cost of 
 heating; the latter being in direct proportion to the respect- 
 ive total heat loisses. (See also Art. 60.) 
 
 Application. — Referring to Table IX, page 63, the calcu- 
 lated amount of air per hour for the various rooms and for 
 the entire building may be found. 
 
 37. Is this Amount of Air Sufficient for Ventilation if 
 Taken from the Outside? — Take the 13 X 15 X 10 foot sitting 
 room, Fig. 15. Let the estimated heat loss be 14000 B. t. u. 
 per hour, then Q = 12727 cubic feet. With a room volume 
 of 1950 cubic feet, the air will change 6.5 times per hour, 
 and, allowing 1800 cubic feet of air per person, will supply 
 seven people with good ventilation if fresh air be used. 
 Stated as a formula,, this would be 
 
 B B 
 
 N = = approx. (16) 
 
 1.1 X 1800 2000 
 
 As a matter of fact, ventilation for half this number would 
 be ample in an ordinary residence room excepting on extraor- 
 
56 HEATING AND VENTILATION 
 
 dinary occasions. So it would seem that the subject of 
 ventilating air will be more than taken care of if the ducts 
 and registers are planned to carry air for heating purposes 
 only. 
 
 38. Given the Heat Loss H and the Volnme of Air Q' for 
 any Room, to find t, the Temperature of the Air Entering at 
 the Register: — If for any reason Q is not sufficient for ven- 
 tilation, then more air must be sent to the room and the 
 temperature dropped correspondingly to avoid overheating 
 the room. Let Q' = total volume of air per hour, including 
 extra air for ventilation, measured at the register, then 
 
 55 H 
 
 t = 70 + (17) 
 
 0' 
 
 Rule. — Whe7i it is necessary for ventilation purposes to circu- 
 late more air than that calculated from the heat loss formula, then 
 the temperature at the register ivill be found by addi7ig to seventy 
 degrees the amount found by multiplying the heat loss by fifty-five 
 and dividing by the cubic feet of ventilating air. 
 
 Application. — Suppose it were necessary to send 18000 
 cubic feet of fresh air to this sitting room per hour to ac- 
 commodate ten people, the temiperature of the air at the 
 register should be 
 
 55 X 14000 
 
 « = 70 -I = 113°. 
 
 18000 
 
 39. Net Heat Registers: — The velocity of the air r, 
 as it leaves the heat register, varies from 3 to 4 feet per 
 second according to different designers. The first figure 
 is objected to by some because it gives too large register 
 areas; while the latter value is claimed to be great enough 
 that the occupants of the room will notice the movement 
 of the air. Practice no doubt tends to the higher velocity. 
 Most heat registers in residences are placed at the floor 
 line. If, however, they be placed above the heads of the 
 occupants of the room (see Art. 102), higher velocities than 
 the ones named ean be used. The general formula for net 
 registers is 
 
 H X 66 X 144 
 
 2^. H. R. = (18) 
 
 (t — t') X »• X 3600 
 
 Rule. — To find the square itichcs of net heat register, muUiphi 
 the heat loss calculated by formula by two and two-tenths and di- 
 vide by the product of the velocity in feet per second times the 
 difference in temperature between the register and the room air. 
 
FURNACE HEATING 57 
 
 Assuming a mean velocity of 3.5 feet per second, and 
 60 degrees drop in teni'perature from the register to the 
 room, then the square inches of net register for any room 
 are found by the formula: 
 
 fl-X 55 X 144 
 
 N. H. R. = = .01 H (19) 
 
 60 X 3.5 X 3600 
 
 40. Net Vent Registers: — Vent registers should be put 
 In with any furnace plant, although this is not always done. 
 In order that any room may be heated properly, it is abso- 
 lutely necessary that the cold air in the room be allowed 
 to escape to give room for the heated air to come in. This 
 in some cases is done by venting through doors, windows 
 or transoms. A tightly closed room cannot be properly 
 heated by a furnace. 
 
 If all the air were to pass out the vent register at the 
 same velocity as it entered through the heat register, the 
 area of the vent register would be to the area of the heat 
 register as the ratio of the absolute temperatures of the 
 leaving and entering air; that is, the area of the vent 
 register = .9 of the area of the heat register. As a matter 
 of fact, since some of the air leaves* the room through other 
 openings, the vent register need not be so large. Practice 
 has decided this area to be about 
 
 N. V. R. = .008 H = .8 N. H. B. (20) 
 
 41. Gross Register Area: — The nominal size, or catalog 
 size, of the register is usually stated as the two dimensions 
 of the rectangular opening into which it fits, and varies 
 from 1.5 to 2 times the net area. The larger value Is prob- 
 ably the safer to follow unless the exact value be known 
 for any special make of register. Floor registers have 
 heavier bars and consequently for the same net area have 
 somewihat larger gross area. 
 
 G. R. = (1.5 to 2) times the net register (21) 
 
 Round registers may be had if desired. Register sizes may 
 be found in Tables 17 and 19, Appendix. 
 
 42. Heat Staclcs; — To get the proper sizes of the stacks 
 In any heating system is a very important part of the de- 
 sign of that system. By some designers the cross sectional 
 area is taken roughly as a certain ratio to that of the net 
 
58 HEATING AND VENTILATION 
 
 register. This has been quoted anywhere from 50 to 90 
 per cent. Such wide variations between extremes of air 
 velocity should certainly require careful application. Prof. 
 Carpenter in H. and "V. B. Arts. 54 and 141, suggests 4, 5 
 and 6 feet per second respectively, as the air velocities for 
 the first, second and third floors. Mr. J. P. Bird, in the 
 "Metal Worker" of Dec. 16, 1905, uses 280, 400 and 500 feet 
 per minute, which is approximately 4.5, 6.5 and 8 feet per 
 second under like conditions. The formula for cross sec- 
 tional area of the heat stack, from formula 19, then becomes, 
 If the velocities are 4, 5.5 and 7 feet per second. 
 
 H X 55 X 144 r. 0091 Hist floor] 
 
 B. S. = = -{ . 0066 H 2nd floor ^ (22) 
 
 60 X (4, 5.5 or 7) X 3600 I .0052 H 3rd floorj 
 
 Rule. — See rule under net heat registers with chayiged value 
 for velocity. 
 
 The air velocity in the stack Is based upon the formula 
 
 V = V2gh, where h = (effective height of stack) X (f — t') -r 
 (460 + t'); V is in feet per second; t is the temperature of 
 the stack air and f is the temperature of the room air. 
 The calculated results from this formula are much higher 
 than those obtained in practice because of the shape of 
 cross sections of the stack, the friction of its sides and the 
 abrupt turns in It. 
 
 From the basis of the net register (figured at 3.5 feet 
 per second) the two quotations by Carpenter a..d Bird give 
 heat stack areas as follows: first fioor, 80 to 88 per 
 cent.; second floor, 55 to 70 per cent.; and third floor, 44 to 
 60 per cent. Good sized stacks are always advisable (see 
 Art. 55), but because of the limited space between the stud- 
 ding it becomes necessary at times to put in a stack that 
 Is too small or to increase the thickness of the wall, a thing 
 which the architect Is occasionally unwilling to do. From 
 the above figures, checked by existing plants that are 
 working satisfactorily, the following approximate figures, 
 reduced to the basis of the net heat register area, will no 
 doubt give good results. 
 
 r.8 times the net heat register. 1st floor -^ 
 H. B. =1 .66 times the net heat register. 2nd floor y (23) 
 L.5 times the net heat register. 3rd floorj 
 
 43. Vent Stacks:— F. 8.= .S H. 8. (24) 
 
 44. Leader Plpeat — Since all the air that passes through 
 the stacks must pass througli the leader pipes. It seems 
 
FURNACE HEATING 59 
 
 reasonable to assume that the areas of the two would be 
 equal. It must be remembered, however, that the stacks, 
 because of their vertical position, offer less resistance in 
 friction, while on the other hand the leader pipes, being: 
 nearly horizontal and having more crooks and turns in 
 them, will have considerable friction and will consequently 
 retard the air to a greater degree. There will also be some 
 loss of temperature in the air as it passes through the 
 leader pipes, consequently the volume of air entering the 
 leader from the furnace will be greater than that goinsr 
 up the stack. 
 
 It would be well, from the above reasons, to make the 
 area of the leader pipes 
 
 L. P. = (1.1 to 1.2) times the stack area, (25) 
 
 the exact figures to depend upon the length and inclination 
 of the leader and the selection of the diameter of the pipe. 
 
 45. Fresh Air Duct: — The area of the fresh air duct is 
 determined largely by experience as in the case of the vent 
 register. It is generally taken 
 
 F. A. D.= .8 times the total area of the leaders. (28) 
 
 Assume the average velocity of the air in the leaders to be 
 6 feet per second and the area of the fresh air duct to be 
 as shown above, then, if the air in each were of the same 
 temperature, the velocity in the fresh air duct would be 
 6-4- .8 = 7.5 feet per second; but since the temperatures 
 are different the velocities will be in proportion to the ab- 
 solute temperatures. Hence it is, at degrees, .78 X 7.5 "= 
 5.8; at 25 degrees, .82 X 7.5 = 6.2; and at 50 degrees, .88 
 X 7.5 = 6.6 feet per second. It is seen by this, that al- 
 though the area of the fresh air duct is contracted to 80 
 per cent, of that of the leaders, the velocity is in all 
 cases below that of the leaders. It is always well to have 
 a fresh air duct that is large in cross sectional area and 
 free from obstructions and sharp turns. 
 
 46. Grate Area: — The grate area of a furnace is esti- 
 mated from the total heat lost from the building, figured 
 on a basis of a certain degree of ventilation. In obtaining 
 the grate area it is necessary to assume the quality of the 
 coal, the efllciency of the furnace and the pounds of coal 
 burned per hour per square foot of grate. The quality of 
 
60 HEATING AND VENTILATION 
 
 coal selected would be between 12000 and 14000 B. t. u. per 
 pound as shown in Table 14, Appendix. The efficiency of 
 the average furnace is about 60 per cent., and the coal 
 burned per square foot of grate per hour ranges from 3 to 
 7 pounds. Concerning the last point there may be a wide 
 difference of opinion. Higher temperatures in the combus- 
 tion chamber are conducive to economy, because of the 
 radiant heat of the fire; hence, to reduce the size 
 of the fire pot, and fire small amounts of coal with 
 greater frequency would seem to be the ideal way. On 
 the other hand, with high temperatures in the combustion 
 chamber, the loss up the chimney is increased. Probably 
 the one factor which is most effective in settling this point 
 is the inconvenience of frequent firing. Furnaces are 
 charged from two to four times each twenty-four hours. 
 This requires a good sized fire pot and a possibility of 
 banking the fires. To allow 5 pounds per hour is probably 
 as good an average as can be made for most coals in fur- 
 nace work. 
 
 Let E' = total heat loss from the building including 
 ventilation loss; E ^ efficiency of the furnace; f = value of 
 coal in B. t. u. per pound; and p = pounds of coal burned 
 per square foot of grate per hour; then the formula for the 
 square inches of grate area is 
 
 H' X 144 
 
 O. A. = (27) 
 
 E X f X p 
 
 Rule. — To find the square inches of prate area for any furnace, 
 multiply the total heat loss from the building per hour by one 
 hundred and forty-four and divide by the quantity foxind by multi- 
 plying the total pounds of coal burned per hour by the heat value of 
 the coal and the efficiency of the furnace. 
 
 Application. — In the typical illustration, the total heat loss 
 on a zero day by formula is, say, 100000 B. t. u. per hour. 
 This will require 90909 cubic feet of air as a heat carrier. 
 Assuming as a maximum that 10 people will be in the 
 house and that they will need 18000 cubic feet of fresh air 
 per hour for ventilation, this air will carry away approx- 
 imately 22900 B. t. u. per hour, making a total heat loss 
 from the building of 122900 B. t. u. per hour. Now, if the 
 furnace Is 60 per cent, efficient and burns 5 pounds of 
 14000 B. t. u. coal per hour per square foot of grate, we 
 will have 
 
 122900 X 144 
 
 0. A. = ^ 421 square Inches = 23.2 inches 
 
 .60 X 14000 X 5 
 
FURNACE HEATING 61 
 
 diameter. With coal at 13000 B. t. u. per pound, the grate 
 would be 454 square Inches or 24 inches diameter. In either 
 case a 24 inch grate would be selected. With the assump- 
 tions as made above, the formula becomes G. A. = .0035 H' 
 for the better grade of coal, and G. A. = .0037 H' for the 
 poorer grade, from which the following approximate form- 
 ula may be taken: 
 
 G. A. square Inches = .0036 H' (28) 
 
 47. Heating: Surface: — The amount of heating surface 
 to be required In any furnace is rather an indefinite quantity. 
 Manufacturers differ upon this point. Some standard may 
 soon be looked for but at present only rough approximations 
 can be stated. One of the chief difficulties is in determin- 
 ng what Is, or what is not, heating surface. Some quota- 
 tions no doubt include some surface in the furnace that is 
 very inefficient. In estimating, only prime heating surface 
 should be considered, i. e., such plates or materials having 
 direct contact with the heated flue gases on one side and 
 the warm air current on the other. If these plates trans- 
 mit K, B. t. u. per square foot per degree difference of tem- 
 perature, tx, per hour; if, also, one square foot of grate 
 gives to the building £7 X / X p B. t. u. per hour, there will 
 be the following ratio between the heating surface and 
 grate surface: 
 
 B. 8. E f p 
 
 G. S. Etz 
 
 (29) 
 
 Application. — Let the value K tz be 2500, as suggested by 
 W. G. Snow, Trans. A. S. H. & V. E., 1906, page 133, and 
 with the same notations as in Art. 46 obtain 
 
 B. 8. .6 X 14000 X 5 
 
 =17 
 
 G. 8. 2500 
 
 In practice this ratio varies anywhere between 12 and 30. 
 
 In the investigations being made by the Federal Fur- 
 nace League their furnaces show an average of 1% square 
 feet of direct heating surface and 1 square foot of indirect 
 heating surface per pound of coal burned in the furnaces 
 per hour, making a total of 2% square feet of heating sur- 
 face per pound of coal burned per hour. The average size 
 of the furnaces submitted for tests, and probably the aver- 
 age size of furnaces used in actual practice, have a top fire- 
 
62 HEATING AND VENTILATION 
 
 pot diameter of 24 inches and a bottom fire-pot diameter of 
 21 inches, making an average flre-pot diameter of 22 ^^ inches 
 and an average cross-sectional area of 2.83 square feet. 
 The average depth of pot in this size of furnace is about 
 13% inches, and for the purpose of rating under the Fed- 
 eral System would burn 7.2 pounds of coal per hour per 
 square foot of average fire-pot cross-section, making the 
 ratio per square foot of grate surface about 8^ pounds of 
 coal per hour. This gives a ratio of heating surface to 
 grate surface of approximately 20 to 1. 
 
 48. Application of the Above Formulas to a Ten Room 
 Residence: — In every design the calculations should be made 
 very complete and the results tabulated for easy reference 
 and as a means of comparison. Such a tabulation is ahown 
 in Table IX, giving all the calculated quantities necessary in" 
 the installation of the furnace system illustrated in Figs. 
 14, 15 and 16. The value of so condensing the Work will be 
 readily apparent. The tabulation of the values used 
 for the various terms of the formula facilitates checking 
 and the detection of errors. Plans should be carefully 
 drawn to scale and accompanied by a sectional elevation. 
 The scale should be as large as can conveniently be made. 
 The location of the building with reference to the points 
 of the compass should always be given, as well as the 
 heights of ceilings and the principal dimensions of each 
 room. There will be a wide variety of practica in making 
 allowance for exposure, floors, ceilings, closets and small 
 rooms not considered of sufficient importance to have Inde- 
 pendent heat. The personal element enters into this part of 
 the work very largely. Such points as these are left to 
 the discretion of the designer who, after having had con- 
 siderable experience Is able to Judge each case very closely. 
 
FURNACE HEATING 
 
 6S 
 
 TABLE IX. 
 Formula. H = (G + .25 W + .02 nC) 70 
 
 ,.H 
 
 Fi 
 
 
 fl 
 
 o 
 
 ® 
 
 S 
 
 
 u 
 0) 
 
 
 beg 
 
 boo 
 
 
 4" 
 
 
 ^ 
 
 p 
 
 43 
 
 p 
 
 
 ?,& 
 
 0^ 
 
 
 43 
 
 P<0j 
 
 i- 
 
 
 So 
 
 S3 
 
 i'' 
 
 ^ 
 -»;? 
 
 .i-( 
 
 7^ 
 
 +3 
 
 \A 
 
 si 
 
 43 
 
 XI 
 
 d 
 
 ti 
 
 02 
 
 M 
 
 OQ 
 
 P3 
 
 O 
 
 o 
 
 Q 
 
 O 
 
 P4 
 
 o 
 
 .25 TT^ 
 
 .02 n C 
 
 n 
 
 H 
 
 Q 
 
 Area of Net Heat Register 
 
 Heat Reg ster Size 
 
 Area of Heat Staclc.. 
 
 Area of Leader 
 
 Area of Net Vent Register 
 Vent Register Size... 
 rea of Vent Stack... 
 
 38 
 
 85 
 
 78 
 2 
 14000 
 12727 
 
 140 
 14x16 
 
 100 
 
 112 
 
 12x14 
 
 67 
 
 28 
 
 28 
 
 84 
 
 2 
 
 10800 
 
 108 
 12x14 
 
 77 
 
 86 
 
 10x12 
 
 52 
 
 42 
 
 28 
 
 29 
 
 42 
 
 38 
 
 28 
 
 28 
 
 14 
 
 52 
 
 65 
 
 73 
 
 45 
 
 60 
 
 26 
 
 30 
 
 17 
 
 78 
 
 55 
 
 104 
 
 85 
 
 36 
 
 31 
 
 22 
 
 26 
 
 2 
 
 2 
 
 3 
 
 1 
 
 1 
 
 1 
 
 1 
 
 2 
 
 18250 
 
 11900 
 
 14000 
 
 9400 
 
 9850 
 
 6600 
 
 5600 
 
 4400 
 
 12045 
 
 10818 
 
 12727 
 
 8544 
 
 8954 
 
 6000 
 
 5091 
 
 4000 
 
 132 
 
 119 
 
 140 
 
 94 
 
 98 
 
 66 
 
 56 
 
 44 
 
 14x16 
 
 12x14 
 
 14x16 
 
 12x12 
 
 12x12 
 
 9x12 
 
 8x10 
 
 8x10 
 
 
 
 
 61 
 67 
 
 64 
 
 70 
 
 43 
 
 47 
 
 36 
 
 40 
 
 28 
 81 
 
 94 
 
 85 
 
 100 
 
 106 
 
 95 
 
 112 
 
 75 
 
 78 
 
 53 
 
 45 
 
 85 
 
 12x14 
 
 12x12 
 
 12x14 
 
 10x12 
 
 10x12 
 
 8x10 
 
 8x10 
 
 8x8 
 
 64 
 
 60 
 
 67 
 
 45 
 
 48 
 
 32 
 
 27 
 
 22 
 
 315 
 481 
 
 99800 
 
 711 
 
 Remarks. 
 
 u 
 
 O 
 
 o 
 
 < < 
 
 +3 
 
 Q, ft 
 
 5* 
 
 p. 
 
 o 
 I— I 
 
 o 
 
 it 
 
 ftti 
 
 1— I i^ 
 
 si 
 
 -d 
 
 fit. 
 s o 
 
 0X3 
 
 « a 
 
 u o 
 
 o « 
 <tH a> 
 
 Bo 
 
 ft 
 
 o 
 ft 
 
 o 
 
 o 
 
 Xi 
 
 o 
 
 m 
 P 
 
 ft 
 
 o 
 
 ft ^ 
 
 O 4) 
 
 I-H 
 
 fta 
 ?1 
 
 Diameter of grate allowing ventilation for ten people = 
 24 Inches. Cold air duct = 569 square inches = 18 X 32 inches. 
 
 In selecting the various stacks and leaders it would be 
 well to standardize as much as possible and avoid the extra 
 expense of installing so many sizes. This can be done if 
 the net area is not sacrificed. 
 
 ^ 
 
64 
 
 HEATING AND VENTILATION 
 
 
 II 
 
 rtOTLnCA^Ttp. 
 
 f 
 
 If 
 
 "°^ 
 
 If 
 
 15' 9i" Ljii L 9 _ 9^-. 
 
 — ~- 3 2- g- 
 
 4 6' • 
 
 FOUNDATION PLAN. 
 Ceiling 6'. 
 
 Fig. 14. 
 
FURNACL] HEATING 
 
 65 
 
 W*a- 
 
 FIRST FLOOR PLAN. 
 Ceiling 10'. 
 
 Fig. 15 
 
56 
 
 HEATING AND VENTILATION 
 
 SECOND FLXDOR PLAN. 
 Ceiling 9'. 
 
 Fig. 16. 
 
CHAPTER V. 
 
 FURNACE HEATING AND VENTILATING. 
 
 SUGGESTIONS ON THE SELECTION AND INSTALLATION OF 
 FURNACE HEATING PARTS. 
 
 40. Selection of the Furnace: — In selecting a furnace 
 for residence use or other heating- service, special attention 
 should be paid to the following points: easy movement of 
 the air, arrangement and amount of heating surface, shape 
 and size of the fire-'pot, method of feeding fuel to the fire 
 and type and size of the grate. The furnace gases and the 
 air to be heated should not be allowed to pass through the 
 furnace in too large a unit volume or at too high a velocity. 
 The gases should be broken up in relatively small volumes, 
 thus giving an opportunity for a large heating surface. 
 Concerning the gas passages themselves, it may be said 
 that a number of small, thin passages will be found more 
 efficient than one large passage of equal total area. This 
 is plainly shown In a similar case by comparing the effl- 
 ciency of the water-tube or tubular boiler with that of 
 the old fashioned flue boiler; i. e., a large heating surface 
 is of prime importance. Again, it is desirable that the 
 total flue area within the furnace should be great enough 
 to allow the passage of large volumes of air at low velocities, 
 rather than small volumes at high velocities. This permits 
 of less forcing of the fire and consequently lowers the tem- 
 perature of the heating surface. The latter point will be 
 found valuable when it is remembered that metal at high 
 temperatures transmits through its body a greater amount 
 of impure gases from the coal than when at low tempera- 
 tures. Concerning velocities, it may be said that on account 
 of the low rate of transmission of heat to or from the 
 gases, long flue passages are necessary, so that gases mov- 
 ing at a normal rate will have time to give off or to take 
 up a maximum amount of heat before leaving the furnace. 
 
 Air is heated chiefly by actual contact with heated sur- 
 faces and not much by radiation. Consequently, the ef- 
 ficiency of a furnace is increased when it is designed so 
 that the gases and air in their movement impinge perpen- 
 
68 
 
 HEATING AND VENTILATION 
 
 dlcularly upon the heated surfaces at certain places. This 
 point sliould not be so exaggerated that there would be 
 serious interference with the draft. The efldciency is also 
 increased if the general movement of the two currents be 
 in opposite directions. 
 
 Furnaces for residences are usually of the portable type. 
 Fig. 17, the same being enclosed in an outer shell composed 
 of two metal casings having a dead air space or an asbes- 
 tos Insulation between them. Some of the larg^er sized 
 
 Fig. 17. 
 
 plants, however, have the furnace enclosed in a permanent 
 casement of brick work, as in Fig. 18. Each of the two 
 types of furnaces give good results. The points usually 
 governing the selection between portable and permanent 
 settings are price and available floor space. 
 
 The cylindrical fire-pot is probably better than a con- 
 ical or spherical one, there being less danger of the fire 
 clogging and becoming dirty. A lined fire-pot i-s better 
 than an unlined one, because a hotter fire can be maintained 
 in it with less detriment to the furnace. There is of course 
 a loss of heating surface in the lined pot, and in some forms 
 
FURNACE HEATING 
 
 69 
 
 of furnaces the fire-pot is unlined to obtain this increased 
 heating surface. It seems reasonable to assume, however, 
 that the lined pot is longer lived and contaminates the air 
 supply less. 
 
 Fig. 18. 
 
 Fig. 19. 
 
70 
 
 HEATING AND VENTILATION 
 
 Some topm of shaking or dumping grate should be se- 
 lected, as a stationary grate is far from satisfactory. Care 
 should be exercised also, in the selection of the movable 
 grate, as some forms not only stir up the fire but permit 
 much of it to fall through to waste when being operated. 
 
 The fuel is fed to the flre-pot from the door above the 
 fire. This is called a top-feed furnace. In some forms, how- 
 ever, the fuel is fed up through the grate. This is called 
 the under-feed furnace, Fig. 19, and is rapidly gaining in 
 favor. The latter type requires a rotary ring grate with 
 the fuel entering up through its center. 
 
 The size of the furnace may be obtained from the estimated 
 heating capacity in cubic feet of room space as given in the 
 sample Table 18, Appendix. Another and perhaps a bet- 
 ter way, and one that serves as a good check on the above,' 
 Is to select a furnace from the calculated grate area. See Art. 
 46. Having selected the furnace by the grate area, check 
 this with the table for the estimated heating capacity 
 and the heating surface to see if they agree. 
 
 What is known as a combination heater is shown In 
 Fig. 20. It is used for heating part of the rooms of a resi- 
 dence by warm air, as in 
 regular furnace work, and 
 the remainder of the rooms 
 by hot water. In this 
 manner, rooms to be ven- 
 tilated as well as heated 
 may be connected by the 
 proper stacks and leaders 
 to the warm air deliveries 
 of such a combination 
 heater, while rooms requlr- 
 ing less ventilation or heat 
 only may have radiators 
 Installed and connected to 
 the flow and return pipes 
 shown in the figure. Also, 
 because of the difficulty 
 in heating certain exposed 
 rooms with warm air, these 
 rooms may be supplied by 
 i^'iS- 20. ^j^g positive heat of the 
 
 more reliable water circulation. 
 
FURNACE HEATING 71 
 
 50. Location of Furnace; — Where other things do 
 not interfere, a furnace should be set as near the center 
 of the house plan as possible. Where this is not wise or 
 possible, preference should be given to the colder sides, say 
 the north or west. In any case, it is advisable to have the 
 leader pipes as near the same length as can be made. The 
 length of the smoke pipe should be as short as possible, 
 but it will. be better to have a moderately long smoke pipe 
 and obtain a more uniform length of leader pipes than to 
 have a short smoke pipe and leaders of widely different 
 lengths. 
 
 The furnace should be set low enough to get a good 
 upward slope to the leaders from the furnace to their re- 
 spective stacks. This should be not less than one inch per foot 
 of length and more if possible. These leader pipes should be 
 dampered near the furnace. 
 
 The location of the furnace will call forth the best 
 judgment of the designer, since the right or wrong decis- 
 ion here can make or mar the whole system more com- 
 pletely than in any other manner. 
 
 51. Foundation: — All furnaces should have directions 
 from the manufacturer to govern the setting. Each type of 
 furnace requires a special setting and the maker should 
 best be able to supply this desired information concerning 
 it. Such information may be safely fallowed. In any case 
 the furnace should be mounted on a level brick or concrete 
 foundation specially prepared and well finished with cement 
 mortar on the inside, since this interior is in contact with 
 the fresh air supply. 
 
 52. Fresh Air Duct: — This is best constructed of hard 
 burned brick, vitrified tile or concrete, laid in four inch 
 walls with cement mortar and plastered inside with ce- 
 ment plaster, all to be air tight. The top should be covered 
 with flag stones with tight joints. The riser from this, 
 leading to the outside of the building, may be of wood, tile 
 or galvanized iron, and the fresh air entrance should be 
 vertically screened. The whole should be with tight joints 
 and so constructed as to be free from surface drainage, 
 dirt, rats and other vermin. This duct may be made of 
 metal or boards as substitutes for the brick, tile or concrete. 
 Board construction is not so satisfactory, although it is the 
 cheapest, and whenever used should be carefully constructed. 
 
7> 
 
 HEATING AND VENTILATION 
 
 In addition to the opening for the adm/ission of the 
 fresh air duct, another opening may be made under the 
 furnace for the purpose of admitting the duct which carries 
 the recirculated air from the rooms to the furnace. Both 
 of these ducts should liave dampers that may be opened or 
 
 •I 'I 11 '1 
 
 l^||UJ|,^l| 
 
 EISH AIR RETU 
 
 FRESH AIR 
 
 TURN 
 
 FRONT 
 
 FRONT 
 
 FRONT 
 
 Fig. 21. 
 
 closed. See Figs. 13 and 21. Both ducts should also be provid- 
 ed with doors that can be opened temporarily to the cellar 
 air. Sometimes it is desirable to have two or more fresh 
 air ducts leading from the different sides of the house to the 
 
 furnace so as to get the benefit of 
 any change in air pressure on the 
 outside of the building. 
 
 Proper arrangements may be 
 made for pans of clear water in the 
 air duct near the furnace to give 
 moisture to the air current, although 
 only a small amount of moisture 
 will be taken up at this point. In 
 most cases where moistening pans 
 are used, they are installed in con- 
 nection with the furnace itself. A 
 good way to moisten the air is to 
 have moistening pans built in just 
 behind the register face, Fig. 22. 
 These pans are shallow and should 
 not be permitted to seriously inter- 
 fere with the amount of air enter- 
 ing through the register. 
 53. Reolrculatlns: Duct: — A duct should be provided 
 from some point within the building, through the cellar 
 and entering into the bottom of the furnace. This is to car- 
 
FURNACE HEATING 
 
 73 
 
 ry the warm air from the room back to the furnace to be 
 reheated for use again wiithin the building. In many cases 
 tin or galvanized iron is used for the material for the 
 recirculating pipe. Where this enters the furnace it 
 should be planned with sufficient turn so that the 
 air would be projected through the furnace, thus 
 placing a hindrance to the fresh cold air from following 
 back through this pipe to the rooms. The exact location 
 of the same will depend, of course, on the location of the 
 register instaiaed for this purpose. The construction of the 
 duct may agree with the similar construction of the fresh 
 air duct. 
 
 54. Leader Pipes: — All leader pipes should be round 
 and free from unnecessary turns. They should be made 
 
 Fig. 23. 
 
74 
 
 HEATING AND VENTILATION 
 
 from heavy galvanized iron or tin and should be laid to an 
 upward pitch of not less than one inch per foot of length, 
 and more if it can possibly be given. The connections with 
 the furnace should be straight, but if a turn is necessary, 
 provide long radius elbows. All connections to risers or 
 stacks should be made through long radius elbows. Rect- 
 angular shaped l>oots having attached collars are sometimes 
 used, but these are not so satisfactory because of the im- 
 pingement of the air against the flat side of the stack; also 
 because of tlie danger of the leader entering too far into 
 the stack and thus sliutting off the draft. Leaders sliould 
 connect to the first floor registers by long radius el- 
 bows. Leader pipes should have as few joints as possible 
 and these should be made firm and air tight. Fig. 23 shows 
 different methods of connecting between leaders and stacks", 
 also between leaders and registers. 
 
 The outside of all leader pipes should be covered to 
 avoid heat loss and to provide additional safety to the plant. 
 The covering is usually one or more thicknesses of asbes- 
 tos paper or mineral wool. 
 
 55. Stacks or Risers: — The vertical air pipes leading to 
 the registers are called stacks or risers. They are rect- 
 angular or oblong in section and are usu- 
 ally fitted within the wall. See Fig. 24. 
 The size of the studding and the distances 
 they are set, center to center, limit the 
 effective area of the stack. All stacks 
 should be insulated to protect the wood- 
 work. This is done by making the stack 
 small enough to clear the woodwork by 
 at least one-quarter inch and then wrap- 
 ping it with some non-conducting material 
 such as asbestos paper held in place by 
 wire. 
 
 Another way, and one which is prob- 
 ably more satisfactory, is to have pat- 
 ented double walled stacks having an air 
 space between the walls all around. The 
 outside wall is usually provided with vent 
 holes which allow the circulation of air 
 between the walls, thus protecting any 
 one part frqjjn becoming overheated. All 
 Fig. 24. stacks sliouli, be made With tight Joints 
 
FURNACE HEATING 75 
 
 and should have ears or flaps for fastening to the studding. 
 Patented sacks are made in standard sizes and of various 
 leng-ths. The sizes ordinarily found in practice are about 
 as given in Table 19, Appendix. 
 
 A stack is sometimes run up in a corner or in some 
 recess in the wall of a room where its appearance, after 
 being finished in color to compare with that of the room, 
 would not be unsightly. This is necessary in any case 
 where the stack is installed after the building is finished. 
 This method is desired by some because of its additional 
 safety and because more stack area may be obtained than 
 Is possible when placed within a thin wall. 
 
 All stacks should be located in partition walls looking 
 toward the outside or cold side of the room. This protects 
 the air current from excessive loss of heat, as would be the 
 case in the outside walls. It also provides a more uniforfia 
 distribution of air. 
 
 The area of the stack best adapted to any given room 
 Is another point in furnace work which brings out a wide 
 diversity of practice. Results from different installations 
 show variations as great as 50 per cent. This is not so 
 noticeable in the first floor roomo as it is in those of the 
 second floor. In a great many cases the architect specifies 
 light partition walls between large upper rooms, say, four 
 inch studding set sixteen inch centers, between twelve foot 
 by fifteen foot rooms, heavily exposed. From theoretical 
 calculation of heat losses, these rooms require larger stacks 
 than can be placed between studding as stated; however, it 
 is very common to find such rooms provided for in this way. 
 One possible excuse for it may be the fact that the room is 
 designed for a chamber and not for a living room. Any 
 sacrifice in heating capacity in any room, even though it be 
 used as a sleeping room only, should be done at the sug- 
 gestion of the purchaser and not at the suggestion of the 
 architect or engineer. Every room should be provided with 
 facilities for heat as though it were to be used as a living 
 room in the coldest weather, then there would be fewer 
 complaints of defective heating plants and less migrating 
 from one side of the house to the other on cold days. 
 
 This lack of heating capacity for any room is some- 
 times overcome by providing two stacks and registers in- 
 
76 
 
 HEATING AND VENTILATION 
 
 stead of one. This plan is very satisfactory because one 
 of the registers may be shut off in moderate weather; how- 
 ever, it requires an additional expense wliicli is scarcely 
 Justified. A possible improvement would be for the archi- 
 tect to anticipate such conditions and provide suitable 
 partition walls so that ample stack area could be put in. 
 The ideal conditions will be reached when the architect act- 
 ually provides air shafts of sufficient size to accommodate 
 either a round or a nearly square stack. When this time 
 comes a great many of the furnace heating difficulties will 
 have been solved. 
 
 A double stack supplying air to two rooms is some- 
 times used, having a partition separating the air currents 
 near the upper end. This practice is questionable because 
 of the liability of the pressure of air in the room on the 
 cold side of the house forcing the heated air to the other 
 room. A better method is to have a stack for each room 
 to be heated. 
 
 56. Vent Stacks: — Vent stacks should be placed on the 
 inner or partition walls and should lead to the attic. They 
 may there be gathered together in one duct leading to a 
 vent through the roof if desired. 
 
 57. Air Circulation AVithin the Room: — The location of 
 the heat register, relative to the vent register, will deter- 
 
 
 ^^^.i^M^^^.^^^^^^^^^^^ 
 
 Ill', 
 
 ^^•,^^^,^:,,,^ ^/>i2^^k ^ 
 
 'l////w/ 
 
 i"'''V''':'.. '.'.Ml ''';'"'• 
 
 Fig. 25. 
 
FURNACE HEATING 77 
 
 mine to a large degree the circulation of the air within the 
 room. Fig. 25, a, b, c and d, shows clearly the effect of the 
 different locations. The best plan, from the standpoint of 
 heating, is to enter the air at a point above the heads of the 
 occupants and withdraw it from the floor line, at or near the 
 same side from which the air enters. This gives a more uni- 
 form distribution as shown by the last figure. It is doubtful, 
 however, if this method will give the best ventilation in 
 crowded rooms where the foul air naturally collects at the 
 top of the room. Furnace heating is not so well cared for 
 in this regard as are the other forms of indirect heating, the 
 air being admitted at the floor line and required to find its 
 own way out. 
 
 58. Fan-Furnace Heating System: — In large furnace 
 installations where the air is carried in long ducts that are 
 nearly, if not quite, horizontal, and where a continuous sup- 
 ply of air is a necessity in all parts of the building, a com- 
 bination fan and furnace system may be installed. These 
 are frequently found in hospitals, schools and churches. Such 
 a system may be properly designated a mechanical warm 
 air system. In comparison with other mechanical systems, 
 however, it is simpler and cheaper. The arrangement may 
 be illustrated by Fig. 96 with the tempering coils omitted 
 and the furnace substituted for the heating coils. The fan 
 should always be between the air inlet and the furnace so as 
 to keep a slight pressure above atmosphere on the air side 
 and thus reduce the leakage of the fuel gas through the 
 joints of the furnace. By this arrangement there is less 
 volume of air to be handled by the fan and a smaller sized 
 fan may be used. 
 
 Fan-furnace systems may be set in multiple if desired, i. 
 e., one fan operating in connection with two or more fur- 
 naces. 
 
 Fig. 26 represents a two-furnace plant showing the 
 fan and the two furnaces. The air is drawn into the fresh 
 air room through a grate in the outside wall and is forced 
 through the fan to the furniaces where it divides and passes 
 up through each furnace to the warm air ducts. Part of 
 the fresh air from the fan is by-passed over the top of the 
 furnaces and is admitted to the warm air ducts through 
 mixing dampers. These dampers control the amount of 
 hot and cold air for any desired temperature of the mix- 
 
78 
 
 HEATING AND VENTILATION 
 
 Fig. 26. 
 
 ture. Temperature control may be applied, also air washing 
 and humidifying apparatus can be installed and operated 
 with satisfaction. Paddle wheel fans are preferred, al- 
 though the disk wheel may be used where the pipes are 
 large and where the air must be carried but short distances. 
 For fan types see Chapter X. 
 
 59. Sugrgrestions for Operating: Furnaces: — Furnaces are 
 designated hard coal and soft coal, depending upon the type and 
 the construction of the grate, hence the grade of coal best 
 adapted to the furnace should be used. The size of the open- 
 ings in the grate should determine the size of the coal used. 
 
 Keep the fire-pot well filled with coal and have It evenly 
 distributed over the grate. 
 
FURNACE HEATING 79 
 
 Keep the fire clean. Clinkers should be removed from 
 the fire once or twice daily. It is not necessary to stir the 
 fire so completely as to waste the coal through the grate. 
 
 When replenishing a poor fire do not shake the fire, but 
 put some coal on and open the drafts. After the coal is well 
 ignited cleai. the fire. 
 
 The ash pit should be frequently cleaned, because an 
 accumulation of ashes below the grate soon warps the grate 
 and burns it out. 
 
 Keep all the dampors set and properly working. 
 
 Have a damper in the smoke pipe and keep i't open only 
 so far as is necessary to create a draft. 
 
 Keep the water pans full uf water. 
 
 Clean the furnace and smoke pipe thoroughly in all parts 
 at least once each year. 
 
 Keep the fresh air duct free from rubbish and impurities. 
 
 Allow plenty of pure fresh air to enter the furnace. -In 
 cold weather part of this supply may be cut off. 
 
 Have the basement well ventilated by means of outside 
 wall ventilators, or by special ducts leading to the attic. 
 Never permit the basement air to be circulated to the diving 
 rooms. 
 
 To bank the fires for the night, clean the fire, push the 
 coals near the rear of the grate, cover with fresh fuel to 
 the necessary depth (this will be found by experience), set the 
 drafts so they are nearly closed and open the fire doors 
 slightly. 
 
 60. Determination of the Best Outside Temperature to 
 Use in Design and the Costs Involved in Heating by Fur- 
 naces:— As a basis for the work of the heating and venti- 
 lating engineer it is necessary that he be well acquainted 
 with the temperature conditions in the locality where his 
 services are employed. He should compile a chart showing 
 extreme and average temperatures covering a period of 
 3'ears and with this chart a fairly safe estimate may be 
 made upon the costs involved dn operating any heating 
 and ventilating system during any part of the average 
 season or throughout the entire heating season. Any costs 
 of operation arrived at are only illustrative of method and 
 probability, however. All one can say is that if the tem- 
 perature in any one season averages what is shown by the 
 average curve for the period of years investigated, then 
 the cost in operating the system may be easily shown by 
 
80 HEATING AND VENTILATION 
 
 calculation. Costs in heating are relative figures only and 
 cannot be predetermined exactly except under test condi- 
 tions. The heating engineer should also know the mini- 
 mum outside temperatures covering a period of years in 
 that locality so as to determine upon an outside tfentipera- 
 ture for his design work. Any design is somewhat of a 
 compromise between average conditions and the minimum 
 or extreme conditions, approaching the extreme rather than 
 the average. Patrons are willing that the heating systems 
 be designed so as to give normal temperatures in the rooms 
 on all but a few of the coldest days. These minimum con- 
 ditions usually have a duration of from two to three days 
 and it would not be considered good engineering from an 
 economic standpoint to design the system large enough to 
 heat to normal inside temperature pn the coldest day ex- 
 perienced in a period of years. The plant would be too 
 large and would require too much financial in-put. As an 
 illustration of the method of obtaining the outside tem- 
 perature to be used in design, also methods of determining 
 approximate costs for heating, see Fig. 27. This has been 
 worked up as an average for the temperatures of each of 
 the days respectively between September fifteenth and May 
 fifteenth, covering a period of thirty years, at Lincoln, 
 Nebraska. The minimum temperature curve includes the 
 outside temperatures for December 1911, and January 1912, 
 which may be regarded as a period of unusual severity. 
 Referring to the chart it will be seen that a cold period of 
 one month was experienced from December nineteenth to 
 January twenty-first, reaching its minimum temperature of 
 — 26° on January twelfth. If this curve were assumed to 
 be the most severe weather that would be found in this 
 locality, then by a study of conditions one may easily de- 
 termine a good value for outside temperature in design. 
 There were twenty days when the temperature was below 
 zero, twelve days below — 5°, six days below — 10°, four 
 days below — 15°, two days below — 20°, and a part of one 
 day below — 25°. Each of the extreme and sudden drops 
 were such as to last from two to three days and were only 
 experienced in two or three instances. It is very evident 
 that a system designed for 0° outside would fall far short 
 of tfie requirement even when put under heavy stress. On 
 the other hand one desiigned for — 25° outside would actu- 
 ally come up to its capacity for only a part of one day out 
 
FURNACE HEATING 
 
 ;i 
 
 of the 240 Jieating days. One designed for — 10° would 
 fulfill condition.s without forcing- excepting at two or three 
 periods of very short duration, at which times the system 
 could be forced sufficiently without detriment. The per- 
 
 TtMPCTAnjfiE IN DECREES AND HEAT uOSS IN THOUSAND BTU 
 
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 sonal equation enters into the calculation of the heat loss 
 somewhat and there will be some difference of opinion con- 
 cerning which to use, — 10° or — 15°. Probably the latter 
 would be a safer value. All that is .lecessary is to plan 
 
82 HEATING AND VENTILATION 
 
 for ample service at all but one or two of the cold periods 
 of short duration and the system wdll be considered very 
 satisfactory from the standpoint of size and capacity. Any 
 additional amount put in would be an investment of money, 
 which is scarcely justified for the small percentage of time 
 that this additional capacity would be called for. 
 
 After the mlnlm'um outside temperature has been de- 
 cided and the plant is designed, one would like to know 
 the probable expense in handling such a plant throughout 
 the heating season. Assume an inside temperature through- 
 out the building of 70°. Comlbine the two half months, Sep- 
 tember and May, into one month, and take the average of 
 these average temperatures for the days of each month, 
 thus giving the drop in temperature between the inside 
 and the outside of the building. The heat loss from the 
 building is then proportional to these drops in tempera- 
 ture. In this case the dilTerences are as follows: 
 
 iSeptember + May 7" below 70* 
 
 October 17° 
 
 November 32.3° 
 
 December 44° 
 
 January 48.7° 
 
 February 45° " " 
 
 March 34° 
 
 April 19.5° 
 
 Taking the sum of all these differences as the total, 
 100%, and dividing each individual difference by the total, 
 we have the percentages of loss for the various months 
 as follows: 
 
 September + May 2.84% of total yearly loss 
 
 October 6.9 % 
 
 Novem>ber 13.1 % 
 
 December 17.8 % " 
 
 January 19.7 % " 
 
 February 18.2 % " 
 
 March 13.7 % " 
 
 April 7.9 % " 
 
 These percentages of loss indicate what may be ex- 
 pected in the expense for coal at various times of the heat- 
 ing year, based upon the average temperatures existing In 
 the past thirty years. From this the lieat loss has been 
 
^ 
 
 FURNACE HEATING 83 
 
 calculated for the sample design stated under Furnace 
 Keating'. The results are shown upon the chart in tons 
 of coal per year, assuming that the entire house is heated 
 to 70° upon the inside for each hour between September 
 fifteenth and May fifteenth. The lowest curve as that for 
 direct radiation only. The next superimposed curve as- 
 sumes fresh air for ten people. The third curve assumes 
 one-half of the required air to be recirculated and the upper 
 curve assumes all the air to be fresh, air. 
 
 Jk 
 
8-: HEATING AND VENTILATION 
 
 REFERENCES. 
 ReferenecH on Furnace Heatin^r. 
 
 Technical Books. 
 
 Snow, Prin. of Heat., p. 27. Snow. Furnace Heat., p. 7. I. C. S. 
 Prin. of Heat, d Vent., p. 1237. Carpenter, llcat. tt Vent. Bldgn., p. 
 
 310. Hubbard, Power, Heat. & Tent., p. 423. 
 
 Technical Periodicals. 
 
 Engineering Review. Warm Air Furnace Heating, C. L. Hub- 
 bard, Nov. 1909, p. 42; Dec. 1909, p. 45; Jan. 1910, p. 66; Feb. 
 1910, p. 48; March 1910, p. 51; May 1910, p. 48; Aug. 1910, p. 
 29. Warm Air System of Heating and Ventilating. R. H. 
 Bradley, May 1910, p. 32. Mechanical Furnace Heating and 
 Ventilating, June 1910, p. 49. Heating and Vent. System 
 Installed in Public School, Fairview, N. J., July 1910, p. 47. 
 Combined System of Warm Air and Hot Water Heat, for a 
 Residence, Jan. 1909, p. 26. Warm Air Heating Installation 
 in a Brooklyn Residence, March 1909, p. 38. The Heating and 
 Tentilaiing Magazine. Advanced Methods of Warm Air Heat- 
 ing, A. O. Jones, Aug. 1904, p. 88. Air Pipes, Sizes Required 
 for Low Velocities, Oct. 1905, p. 7. Report of Committee 
 (A. S. H. V. E.) to Collect Data on Furnace Heating, Jan. 
 1906, p. 35. An Improved Application of Hot Air Heating, 
 A. O. Jones. July 1906. p. 31. The Official Federal Fur- 
 nace League Method of Testing Furnaces, W. F. Col- 
 bert. July 1910. Domestic Engineering. Sanitation in Hot 
 Air Heating, James C. Bayles, Vol. 25, No, 6, Sept. 
 25, 1903, p. 261. Trans. A. S. H. d "> E. Test of Hot Air Grav- 
 ity System. R. C. Carpenter, Vol. IX, p. 111. Heat Radiators 
 Using Air Instead of Water and Steam, Geo. Aylsworth, Vol. 
 IX, p. 259. Velocities in Pipes and Registers in a Warm Air 
 System, Vol. XII, p. 352. Relative Size Hot Air Pipes, Vol. 
 XIII. p. 270. Velocity of Air in Ducts, Vol. VII, p. 162. The 
 Metal Worker. Battery of Furnaces with Vent Ducts, Jan. 15, 
 1910, p. 85. Air Blast System. Jan. 15, 1910, p. 93. Origin 
 and Comparative Cost of Trunk Main Furnace System, 
 Aug. 6. 1910. p. 171. Example of Trunk Line Furnace Piping, 
 April 2, 1910, p. 463. Furnace System with Piping 50 ft. Long, 
 July 3, 1909, p. 45. Heat Unit in Furnace Heating. Aug. 8, 
 
 1908, p. 43. Data on a Notable School Heating Plant, Nov. 6, 
 
 1909, p. 37. Fan-Furnace Residence System. Oct. 3. 1908. 
 p. 43. Theoretical Construction in Designing Furnace Heat- 
 ing. Dec. 26. 1908, p. 33. School Fan Furnace Heating 
 Plant, Oct. 8. 1910. Combination Heating in Cold Terri- 
 tory, Sept. 29, 1911. Underwriters' Tests of Wall Stacks. 
 July 1, 1911. Design of Fan Blast Heating, H. C. Russell, 
 Jan. 21, 1911; Feb. 25. 1911. 
 
CHAPTER VI, 
 
 HOT WATER AND STKA3I HEATING. 
 
 DESCRIPTION AND CLASSIFICATION OF THE SYSTEMS. 
 
 61. Hot W'ater and Steam Systems Compared to Fur- 
 nace Systems; — As compared to the warm air or furnace 
 plant, the hot water and the steam installations are more 
 complicated in the number of parts; they use a more cum- 
 bersome heat carrying medium, for which a return path to 
 the boiler must be provided; and have parts, in the form 
 of radiators, which occupy valuable room space. But the 
 steam and hot water plants have the advantage in that 
 their circulations, and hence their transference of heat, 
 are quite positive, and not affected by wind pressures, A 
 hot water or a steam system will carry heat just as readily 
 to the windward side of a house as it will to the leeward 
 side, a point which, with a furnace installation, .is known 
 to be quite impossible. Furnace heating, on the other hand, 
 has the advantage of inherent ventilation, while the hot 
 water and steam systems, as usually installed, provide no 
 ventilation except that due to air leakage. 
 
 62. The Parts of Hot Water and Steam Systems: — ^A hot 
 
 water or a steam system may be said to consist of three 
 principal parts: first, the boiler or heat generator; second, 
 the radiators or heat distributors; and third, the connecting 
 pipe-lines, which provide the circuit paths for the hot water 
 or the steam. In the hot water system it is essential that 
 the heat generator be located at the lowest point in the 
 circuit, for, as was explained in Art. 5, the only motive 
 force is that due to the convection of the water. In the 
 steam system this is not essential, as the pressure of the 
 steam forces it outward to the farthest points of the system. 
 The water of condensation may or may not be returned by 
 gravity to the boiler. Hence, with a steam system a radiator 
 may be placed below the boiler, if its condensation be trapped 
 or otherwise taken care of. 
 
86 
 
 HEATING AND VENTILATION 
 
 C3. Definitions: — In speaking of the piping of heating 
 Installations, several terms, commonly used by heating en- 
 gineers, should be thoroughly understood. The large pipes 
 in the basement connected directly to the source of heat, 
 and serving as feeders or distributors of the heating me- 
 dium to the pipes running vertically in the building, are 
 known as mains. The flow mains are those carrying steam 
 
 Fig. 28. 
 
 Pig. 29. 
 
 or hot water from the source of heat towards the radiators, 
 and the return mains are those carrying water or 
 condensation from the radiators to the source of 
 heat. Those vertical pipes in a building to which 
 the radiators are directly connected are called risers, 
 w^hile the short horizontal pipes from risers to radi- 
 ators are usually termed riser arms. As there are flow 
 mains and return mains, so also, there are flow risers and 
 return risers. A radiator should have at least two tappings, 
 one below for the entry of the heating medium, and one 
 on the end section opposite, near the top for air discharge 
 as shown by the connected steam radiator of Fig. 28. It 
 noay have three, a flow tapping and a return tapping at the 
 bottom of the two end sections, and the third or air tapping 
 near the top of the end section at the return end as shown 
 by the connected hot water radiator of Fig. 29. A return 
 
HOT WATER AND STEAM HEATING 
 
 87 
 
 main traversing the basement above the water line of the 
 boiler is designated as a dry return and carries both steam 
 and water of condensation; one in such position below the 
 water line as to be filled with water is designated a wet 
 return, and the returns of all two-pipe radiators connecting 
 with wet returns are said to be sealed. 
 
 64. Classification: — One classification of hot water and 
 steam systems is based upon the position and manner in 
 which the radiators are used. The system which is, per- 
 haps, most familiar is the one wherein radiators are placed 
 directly within the space to be heated. This heating is ac- 
 
 Fig. 30. 
 
 Fig. 31. 
 
 complished by direct radiation and by air convection cur- 
 rents through the radiators, no provision being made for a 
 change of air in the room. This is known as the direct 
 system, and, while it causes movements of the air in the 
 room, it produces no real ventilation. See Fig. 30. 
 
 Ivi the direct-indirect system, the radiator is also 
 placed within the space or room to be heated, but its lower 
 half is so encased and connected to the outside of the build- 
 
88 HEATING AND VENTILATION 
 
 Ing- that fresh air is continually drawn up through the 
 radiator, is heated, and thrown out into the room as shown 
 by Fig-. 31, Thus is es-tablished a ventilating system more 
 or less effective. 
 
 In the purely indireci si/sfem. Fig. 32. the radiating sur- 
 face is erected somewhere remote from the rooms to be 
 heated, and ducts carry the heated air from the radiator 
 to the rooms either by natural convection, as in some in- 
 stallations, or by fan or blower pressure, as in others. 
 When all the radiation for an entire building is installed 
 
 Fig. 32. 
 
 together in one basement room, and each room of the build 
 iiig has carried to it, its share of heat by forced air througli 
 ducts from one large centralized fan or blower, the system 
 is called a Plenum System, and is given special consideration 
 in Chapters X to XII. 
 
 65. A second classification of steam and hot water sys- 
 tems is made according to the method of pipe connection 
 between the heat generator and the radiation. That known 
 as the one-pipe system, Fig. 33, is the simplest in construc- 
 tion and is preferred by many for the steam installations. 
 As the name indicates, its distinguishing feature is the 
 single pipe leading from the source of heat to the radiator, 
 the steam and the returning condensation both using this 
 path. In the risers and connections, the steam and ton- 
 densation flow in opposite directions, thus requiring larger 
 pipes than where a flow and a return are both provided. 
 In this system the condensation usually flows with the 
 steam in the main, and not against it, until it reaches such 
 a point that it may be dripped to a separate return 
 and then led to the boiler. In the so-called one-pipe 
 hot water system, radiators have two tappings and two 
 
HOT WATEK AND STEAM HEATING 
 
 89 
 
 Fig. 33. 
 risers, but the flow riser is tapped out of the top of the 
 single basement main, while the return riser is tapped into 
 the bottom of that same main by either of the special fit- 
 tings shown in section in Fig. 34. The theory is that the 
 hot water from the boiler travels 
 along the top of the horizontal base- 
 ment main, while the cooler water from 
 the radiators travels along the bottom 
 of this same main. Hence the neces- 
 sity for tapping flow risers out of the 
 top and return risers into the bottom 
 of this main, thus avoiding a mixing 
 of the two streams. Where mains are 
 short and straight as in the smaller 
 Fig, 34. residence installations, this system 
 
90 
 
 HEATING AND VENTILATION 
 
 seems to give satisfaction; but it is very evident that, wlicxc 
 basement mains are long and more complicated, a mixing 
 ©f the two streams is unavoidable, thus rendering the sys- 
 tem unreliable. 
 
 The tvco-pipe system is used on both s.team and hot 
 water installations. For steam work it is probably no 
 better than the one-pipe system but for hot water work it 
 is much preferred. In this system two separate and dis- 
 tinct paths may be traced from any radiator to the source 
 of heat. In the basement are two mains, the flow and the 
 return, and the risers from these are always run in pairs, 
 the flow riser on one side of a tier of radiators, the return 
 riser on the other side. A two-pipe steam system must 
 have a sealed return. Typical two-pipe main and riser con- 
 nections are shown in Fig. 35. 
 
 Fig. 35. 
 
 Fig. 36. 
 
 66. A third system, known as the attic main, or Mills 
 system, has found much favor with heating engineers in 
 the installation of the larger steam plants although it could 
 be applied as well to the larger hot water plants. The 
 distinguishing feature, when applied to a steam system, 
 is the double main and single riser, so arranged that the 
 condensation and live steam flow in the same direction. 
 
HOT WATER AND STEAM HEATING 91 
 
 This is accomplished by taking- the live steam directly to 
 the attic by one large main, which there branches, as need 
 be, to supply the various risers, only one riser being used 
 for each tier of radiators and the direction of flow of both 
 steam and condensation in risers being downward. Hence, 
 this system avoids the unsightliness of duplicate risers, as 
 in the two-pipe system, and avoids the disadvantage of the 
 one-pipe basement system, the last named having steam 
 and condensation flowing in opposite directions in the same 
 pipe. Fig. 36 shows two common methods of connecting 
 risers and radiators with this system. 
 
 67. Diagrrams for Steam and Hot Water Piping: Systems t 
 
 — iFigs. 37 to 43 inclusive show somie of the methods for 
 connecting up piping systems between the source of heat 
 and the radiators. At the radiators A, B, C and D are shown 
 different methods of connecting between the radiators and 
 mains. In every case the various forms of branches below 
 the floor and behind the radiators are for the purpose of 
 taking up the expansion. It will be noticed that the two- 
 pipe steam systems have sealed returns where they enter 
 the main return above the water line of the boiler. 
 
 In some steam systems where atmospheric pressure is 
 maintained, special valves with graduated control admit steam 
 to the upper part of the radiator. The returns enter into a 
 receiver near the boiler with a vapor and air relief to the 
 atmosphere through some form of condenser, having an out- 
 let pipe leading to an air shaft or to a chimney. The pres- 
 sure upon this return is maintained in such a case approx- 
 imately 14.7 pounds. The water type of radiator is used, 
 having the sections connected both top and bottom and with 
 this graduated control only that amount of radiation which 
 is necessary to heat the room on a given day is employed. 
 Such a system is economical, safe and can be operated in 
 connection with any kind of radiation. Pig. 43 is typical of 
 such systems. 
 
92 
 
 HEATING AND VENTILATION 
 
 ONt PiPL STEAM SYSTEM -BASEMENT MAIN 
 
 FiS. 37. 
 
 TWO PIPE STEAM SYSTEM-BASEMENT MAIN 
 
 Fig. 38. 
 
HOT WATER AND. STEAM HEATING 
 
 93 
 
 A 
 
 O 
 
 MILLS SYSTEM 
 
 & 
 
 0=s 
 
 STEAM- ATTIC MAIN 
 
 D 
 
 ORv RETURN 
 
 WET RETURN 
 
 ^ y^ a 
 
 ORY RE Turn 
 
 
 :#--- 
 
 WCT RETuRM 
 
 Fig. 39. 
 
 ONE PIPL ~5YSTLM-H0T WATER 
 
 Fisr. 40. 
 
94 
 
 HEATING AND VENTILATION 
 
 TWO PIPL SYSTEM HOT WATER -BASEMENT MAIN 
 
 Fig. 41. 
 
 Fig. 42. 
 
HOT WATER AND STEAM HEATING 
 
 95 
 
 VAPOR SYSTEM OF STEAM HEATINO 
 
 Fig. 4; 
 
 68. Accelerated Hot Water Heating Systems: — Improve- 
 ments have been devised for hot water heating whereby the 
 circulation of the water is increased above that obtained by 
 the open tank system. By increasing the velocity of the 
 water, pipe sizes may be reduced, resulting in an economy 
 in the cost of pipe and fittings. In addition to this, where 
 the temperature of the water is carried above that due to 
 atmospheric pressure, the radiation may theoretically be 
 reduced below that for the open tank system. How far 
 these economies may be pursued in designing is a question 
 which should be very carefully considered. In many cases 
 the amiount of radiation is kept the same and the chief dif- 
 ference merely thiat of pipe sizes. This article is descriptive 
 of several of the types of accelerated systems in use and is 
 not intended as a critical analysis of the merits of any one 
 as compared to the others. 
 
 Of all the principles employed for accelerating the cir- 
 culating water, four w'ill be mentioned. First, by increas- 
 ing the pressure of the open tank system thus raising the 
 temperature above 212 degrees. Second, by superheating a 
 part or all of the circulating water as it passes through the 
 heater and condensing the steam thus formed by mixing it 
 
96 
 
 HEATING AND VENTILATION 
 
 with a portion of tlie cold circulating water of the return. 
 Third, by introducing steam or air into the main riser pipe 
 near the top of the system. Fourth, by mechanically oper- 
 ated pumps or motors. 
 
 Descriptive of the first principle. Fig. 44 shows a mer- 
 cury-seal tube connected between the upper point of the 
 ^ main riser and the expansion tank. This is 
 
 designed to hold a pressure of about 10 pounds 
 gage, the water from the system filling the 
 casement and pressing down upon the top 
 of the mercury in the bowl. Increasing the 
 pressure in the system lowers the level of the 
 mercury in the bowl and forces the mercury 
 up the central tube A until the differential 
 pressure is neutralized by the static head of 
 the mercury. If the pressure becomes great 
 enough to drop the level of the mercury to 
 the tube entrance, water and steam will force 
 through the mercury to chamber D and from 
 thence through the expansion tank to the over- 
 flow. Any mercury forced out of the tube A 
 by the velocity of the water and steam, strikes 
 the deflecting plate C and drops back through 
 the annular opening B to the mercury bulb 
 below. As the pressure is reduced in the 
 system the mercury drops in tube A to the 
 level of that in the bulb and water from the 
 expansion tank passes down through the 
 mercury-seal into the heating system to replace any that 
 has been forced out to the expansion tank. This action is 
 autom.atic and is controlled entirely by the pressure within 
 the system. The only loss, if any. is that amount which 
 goes out the overflow. The above represents essentially 
 what is known as the Honeywell System of acceleration. 
 A modification of the above is used in the Cripps System. 
 In this the mercury-seal Is placed beyond the expansion 
 tank and puts the expansion tank under pressure. 
 
 The second principle is illustrated by Figs. 45 and 46. 
 Fig. 45, known as the Koerting System, has a series of 
 motor pipes leading from the upper part of the heater to a 
 mixer, where the steam is condensed before it reaches the 
 
 Fig. 44 
 
HOT WATER AND STEAM HEATING 
 
 97 
 
 expansion tank by the water entering through the by-pass 
 from the return. The velocity of the steam and water 
 through the motor pipes and the partial vacuum caused by 
 the condensation in the mixer produces the acceleration up 
 the flovv^ pipe. 
 
 "3l 
 
 DVERrya* 
 
 EXP TANK 
 
 FLOW 
 
 
 / 
 
 9 
 
 pt» 
 
 
 
 
 
 r 
 
 >iixe:r 
 
 
 
 
 T f 
 
 UJ 
 
 — f 
 
 o 
 
 
 
 
 0. 
 
 a: 
 
 o 
 
 IT 
 
 
 »- 
 
 in 
 
 o 
 
 
 o 
 
 
 t 
 
 
 
 Mill 
 
 
 < 
 
 -1 
 UJ 
 
 
 
 m 
 
 
 
 
 HEATER 
 
 C3€Z1 
 
 RETURN 
 
 =B 
 
 Fig. 45. 
 
 Fig. 46. 
 
 In the Jorgensen and Bruchner Systems the heater K 
 delivers the hot water up the flow pipe to a regulator R, 
 where a separation takes place between the steam particles 
 and the water, thus causing an acceleration up the motor 
 pipe to the expansion tank A. The water in the flow pipe 2 
 is probably near to the temperature of that in 1. After 
 passing through the radiators the water in 3 is at a lower 
 temperature than that in 2. The steam particles which 
 have collected in the expansion tank A above the water line 
 are condensed in "F. The acceleration in the system is thusi 
 produced by a combination of the upward movement of the 
 steam particles in motor pipe 1 and the induced upward 
 current in 3 toward the condenser F. It will be noticed 
 In the figures that the condensation in one system takes 
 place before the expansion tank and in the other system after 
 
98 
 
 HEATING AND Vl«JNTlL,ATiUN 
 
 it has passed the expansion tank. Each of the systems illus- 
 trated may be carried under pressure by a safety valve as 
 at B or by an expansion tank located high enough to give 
 sufficient static head. 
 
 The third principle is well shown by what is known as 
 the Reck System. Fig. 47 is a diagrammatic view and Fig. 
 48 a detail of the accelerating part of the system. The 
 
 m 
 
 ^1^ 
 
 Fig. 4" 
 
 IT y 
 
 DETAIL OF A.B.ANOC 
 
 Fig. 48. 
 
 water passes directly from the heater up the main riser 
 where it enters the condenser C and thence into the expan- 
 sion tank A -SiS a. supply to the flow pipes of the system. 
 Steam from a separate boiler is admitted to the mixer Ji 
 above the condenser and enters the circulating water just 
 below the expansion tank. The velocity of the steam and 
 the partial vacuum caused by the condensation induces a 
 current up the flow pipe to the expansion tank. W^hen the 
 water level in the expansion tank reaches the top of the 
 overflow pipe the water returns to the steam boiler through 
 the condenser C where it gives off heat to the upper cur- 
 rent of the circulating water. It will be seen that the 
 
HOT WATER AND STEAM HEATING 
 
 99 
 
 water in the system and the steam from the boiler unite 
 from the inlet at the mixer to the expansion tank. On all 
 other parts of the systems they are independent. 
 
 Fig:. 49 is a modification of this same principle, wherein 
 air is injected in the riser pipe at B and causes the acceler- 
 ation by a combination of the par- 
 tial vacuum produced by the steam 
 condensation as just mentioned and 
 the upward current of the air par- 
 ticles as in an air lift. Steam enters 
 through the pipe J and ejector H to 
 the mixer at B where it is con- 
 densed. In passing through H airpLow. 
 is drawn from the tank E and en- 
 ters the main riser with the steam. 
 The upward movement of this air 
 through the motor pipe to the tank 
 induces an upward flow of the water 
 in the main riser. By this combina- 
 tion there are formed three com- 
 plete circuits, water, steam and air, 
 uniting as one circuit from the mix- 
 er B to the expansion tank E. The Fig. 49. 
 steam furnished in principle 3 may be supplied by a separate 
 steam boiler or by steam coils in the fire box of a hot water 
 boiler. 
 
 In the fourth principle the acceleration is produced by 
 some piece of mechanism as a pump or motor placed direct- 
 ly in the circuit. This principle is discussed under District 
 Heating and will be omitted here. 
 
 69. Vacuum System.s for Steam: — Most com'monly, the 
 systems mentioned, when steam, are installed as the so- 
 called low pressure systems, which term indicates an abso- 
 lute pressure of about 18 pounds per square inch or 3*^ 
 pounds gage pressure. On extensive work, it has been 
 found advantageous to install a vacuum system to increase 
 economy, also to insure positive steam circulation by prompt 
 removal of condensation through vacuum returns. Even 
 for comparatively small residence installations vacuum ap- 
 plications of various kinds are becoming common. 
 
 Vacuum systems may be divided into two* classes, ac- 
 cording to the way in which the vacuum is maintained. For 
 
100 
 
 HEATING AND VENTILATION 
 
 /T\ 
 
 comparatively small plants, not using exhaust steam, the 
 vacuum is maintained by mercury seal connections, and 
 these plants are usually referred to as mercury seal vacuum 
 systems. These mercury seals may be attached to any 
 standard one or two-pipe system by merely replacing the 
 ordinary air valve by a special connection, which in real- 
 ity is only a barometer. An iron tube. Fig. 50, dips just 
 below the surface of the mercury in the well on the floor 
 and extends vertically to the radiator air tap- 
 ping to which the tube connects by a fitting 
 ] which will allow air to pass into and through 
 the barometer, but will not allow steam to 
 pass. When the system is first fired up and 
 steam is raised to several pounds gage, the air 
 leaves all the radiators by bubbling through 
 the mercury seal at the end of the vertical 
 iron tube. If the fire is then allowed to go out, 
 the steam will condense, and produce an almost 
 perfect vacuum in the entire system, provided 
 all pipe fitting has been carefully done. This 
 system may be operated as a vacuum system 
 at 4 or 5 pounds absolute pressure and have 
 the water boiling as low as 150 to 160 degrees. 
 The flexibility of this system recommends it 
 highly. Applied to a residence or store, the 
 plant may be operated during the day at sev- 
 eral pounds gage pressure, if necessary, but 
 when fires are banked for the night, steam re- 
 mains in all pipes and radiators as long as the 
 temperature of the water does not fall much 
 below 150 degrees. This is in sharp contrast 
 with the ordinary system, where steam disap- 
 pears from all radiators as soon as the water 
 temperature drops below 212 degrees. The 
 promptness with which heat may be obtained in the morn- 
 ing is noteworthy, for, if the vacuum has been maintained, 
 steam will begin to circulate as soon as the water has been 
 raised to about 150 degrees. According to demands of the 
 weather, the radiators may be kept at any temperature 
 along the range of 150 to 220 degrees, thus giving great 
 flexibility. 
 
 "V 
 
 Fig. 50. 
 
1 
 
 HOT WATER AND STEAM HEATING 
 
 101 
 
 Instead of having a barometric tube at each radiator, 
 one mercury seal may be supplied in the basement, and the 
 air tappings of all radiators connected to the top of the 
 tube iby i/4 inch piping. In practice it is found very difficult 
 to obtain a system of piiping isufflcient'ly tight to maintain 
 a high vacuum Oin the mercury seal system. 
 
 The second class of vacuum systems includes those 
 designed especially for use in office buildings, and where- 
 in the vacuum is maintained by an aspirator, exhauster or 
 pump of some description. This exhauster may handle only 
 
 ^ 
 
 Fig. 51. 
 
 Pig. 52. 
 
 the air of the system, that is, it may be connected only 
 to the air tappings of all radiators, as in the Paul system. 
 Fig. 51, or the exhauster may handle both air and con- 
 densation and be connected to the return tappings of all 
 radiators, as in the Webster system. Fig. 52. The Paul 
 system is fundamentally a one-pipe system, using exhaust 
 or live steam and maintaining its circulation without back 
 pressure, by exhausting each radiator at its air tapping, 
 and also exhausting the condensation from the basement 
 tank in which it has been collected by gravity. For an 
 
102 HEATING AND VENTILATION 
 
 aspirator this system uses either air, steam, or hot water, 
 as the conditions may determine. The Webster system Is 
 fundamentally a two-pipe system and exhausts . from the 
 radiators both the air and water of condensation, all radi- 
 ator returns being connected to the (usually) steam driven 
 vacuum pump. These systems arcdesigned to use both exhaust 
 and live steam, and hence are finding wide application in the 
 modern heating of manufacturing plants. See also Chapter 
 IX. 
 
CHAPTER VII. 
 
 HOT WATER AND STEAM HEATING. 
 
 RADIATORS, BOILERS, FITTINGS AND APPLIANCES- 
 
 The various systems just described are merely different 
 ways of connecting- the source of heat to the distributors 
 of heat, i. e., methods of pipe connections between heater 
 and radiators. Many forms of radiators exist, as well as 
 many types of heaters and boilers, each adapted to its own 
 peculiar condition. It is in this choice of the best adapted 
 material that the heating engineer shows the degree of 
 his practical training, and the closeness with which he fol- 
 lows the latest inventions, improvements and applications. 
 
 70. Classification as to Material: — Radiators may be 
 classified, according to material, as cast iron radiators, 
 pressed steel radiators and pipe coil radiators. Cast radi- 
 ators have the hollow sections cast as one piece, of iron. 
 The wall is usually about % inch to % inch thick, and is 
 finally tested to a pressure of 100 pounds per square inch. 
 Sections are joined by wrought iron or malleable nipples 
 which, at the same time, serve to make passageways be- 
 tween any one section and its neighbors for the current of 
 heating medium, whether of steam or hot water. Cast iron 
 radiators have the disadvantage of heavy weight, danger 
 of breaking by freezing, occupying much space, and having 
 a comparatively large internal volume, averaging a pint and 
 a half per square foot of surface. 
 
 Pressed radiators are made of sheet steel of No. 16 
 gage, and, after assembly, are galvanized both inside and 
 out. Each section is composed of two pressed sheets that 
 are joined together by a double seam as shown at a, Fig. 
 53, which illustrates a section through a two-column unit. 
 
 Fig. 53. 
 
 The joints between the sections or units are of the same 
 kind. It is readily seen that such construction tends to- 
 ward a very compact radiating surface. Pressed radia* 
 
104 HEATING AND VENTILATION 
 
 tors are comparatively new, but, in their development, 
 promise much in the way of a light, compact radiation. In 
 comparison with the cast iron radiators, they are free from 
 the sand and dirt on the inside, thus causing less trouble 
 with valves and traps. The internal volume will approxi- 
 mate one pint per square foot of surface. See Fig. 54. 
 
 Radiators composed of pipes, in various forms, are 
 commonly referred to as coil radiators. They are daily 
 becoming less common for direct and direct-indirect work, 
 because of their extreme unsightliness. Piping is still 
 much used as the heat radiator in Indirect and plenum 
 systems, although both cast and pressed radiators are now 
 designed for both of these purposes where low pressure 
 st3am Is used. In all coil radiator work, no matter for 
 what purpose, 1 inch pipe Is the standard size. However, 
 in some cases pipes are used as large as 2 inches in diam- 
 eter. Standard 1 inch pipe is rated at 1 square foot of heat- 
 ing surface per 3 lineal feet and has about 1 pint of con- 
 taining capacity per square foot of surface. 
 
 71. Classification as to Form: — Radiators may again be 
 classified in accordance with form, into the one, two, three, 
 and four-column floor types, the wall type, and the flue 
 type. See Fig. 54. These terms refer only to cast and 
 pressed radiators. By the column of a radiator is meant 
 one of the unit fluid-containing elements of which a sec- 
 tion is composed. When the section has only one part or 
 vertical division, it is called a single-column or one-column 
 type; when there are two such divisions, a two-column; 
 when three, a three-column; and when four, a four- 
 column type. What is known as the wall type radiator Is 
 a cast section one-column type so designed as to be of 
 the least practicable thickness. It presents the appear- 
 ance, often, of a heavy grating, and is so made as to 
 have from 5 to 9 square feet of surface, according to the 
 size of the section. One-column floor radiators made with- 
 out feet are often used as wall radiators. A flue radiator 
 Is a very broad type of the one-column radiator, the parts 
 being so designed that the air entering between the sections 
 at the base is compelled to travel to the top of the sections 
 before leaving the radiator. This type is therefore well 
 adapted to direct-indirect work. See Fig. 54. 
 
HOT WATER AND STEAM HEATING 
 
 105 
 
 Stairway Type Dining Room Type Flue Type Circular Type 
 
 CAST RADIATORS 
 
 Two-Column 
 Type 
 
 Three-Column 
 Type 
 
 Four-Column 
 Type 
 
 PRESSED RADIATORS 
 
 Single-Column Two-Column 
 Type Type 
 
 Three-Column 
 Type 
 
 WaU Typ« 
 
 Fig. 54. 
 
106 HEATING AND VENTILATION 
 
 Many special shapes of assembled radiators will be 
 met with, but they will always be of some one of the fun- 
 damental types mentioned above. For instance, there are 
 "stairway radiators," built- up of successive heights of 
 sections, so as to fit along the triangular shaped wall under 
 stairways; there are "pantry" radiators built up of sections 
 so as to form a tier of heated shelves; there are "dining 
 room" radiators with an oven-like arrangement built into 
 their center; and there are "window radiators" built with 
 low sections in the middle and higher ones at either end, 
 so as to fit neatly around a low window. Fig. 54 shows a 
 number of these common forms as used in practice. 
 
 72. Classification as to Heating: 3Iedium: — A third class- 
 ification of radiators, according to heating medium em- 
 ployed, gives rise to the terms steam radiator and hot 
 water radiator. Casually, one would notice little difference 
 between the two, but in construction there is a vital differ- 
 ence. Steam radiation has the secvjont. joined by nipples 
 along the bottom only, but hot water radiation has them 
 joined along the top as well. This is quite essential to the 
 proper circulation of the water. Steam radiation is always 
 tapped for pipe connections at the bottom. Hot water rad- 
 iation may have the flow connection enter at the top, and 
 the return connection leave at the bottom, or may have 
 both connections at the bottom. Hot water radiation can 
 b heated very successfully with steam, but steam radia- 
 tion cannot be used with hot water. 
 
 73. Hlgrh versns Lo^- Radiators: — In the adoption of a 
 radiator height, the governing feature is usually the space 
 allowed for the radiator. Thus, if a radiator of 26 inches 
 in height requires so many sections as to become too long, 
 then a 32 inch or a 38 inch section may be taken. In gen- 
 eral, however, low radiators should be used as far as 
 possible, for, with a high radiator, the air passing up along 
 the sides of the sections becomes heated before reaching the 
 top, and therefore receives less heat from the upper half 
 of the radiator, since the temperature difference here is 
 small. Hence, the statement that low radiators are more 
 efficient, that is, will transmit more B. t. u. per square 
 foot per hour than will the high radiators. 
 
 The amount of heat that will be transmitted through a 
 radiator to a room is controlled also by the width of the 
 
HOT WATER AND STEAM HEATING 10' 
 
 radiator, narrow radiators being more efficient than wide 
 ones. Considering- both height and number of columns the 
 rate of transmission, used in formulas 30 and 31 as 1,7, would 
 change to: 
 
 1 column radiator, 30" high 1.8 B. t. u. 
 2 and 3 " " 30" " 1.7 
 
 4 " " 30" " 1.6 
 
 For high and low radiators this may be reduced or increased 
 ten per cent, respectively for a 48 inch and a 16 inch radiator, 
 
 74. ESect of Condition of Radiator Surface on the 
 Transmission of Heat; — The efficiency of a radiator depends 
 very largely upon the condition of its outer surface, a 
 rough surface giving off very much moTe heat than a 
 smooth surface. Painting, ^bronzing, ishellacing or cover- 
 ing the radiatoir in any manner affects the ability of the 
 radiator to impart heat to the air circulating around it. 
 Various tests bearing upon this question have been con- 
 ducted, agreeing fairly well in general results, A series 
 of tests conducted by Prof, Allen at the University of 
 Michigan, indicated that the ordinary bronzes of copper, 
 zinc or aluminum caused a reduction in the efficiency below 
 that of the ordinary rough surface of the radiator of 
 about 25 per cent., while white zinc paint and white enamel 
 gave the greatest efficiency, being slightly above that of 
 the originail surface Numerous coats of paint, even as high 
 as twelve, seemed to affect the efficiency in no appreciable 
 manner, it being the last or outer coat that always de- 
 termined at what rate the 'radiator would transmit its heat. 
 
 75, Amount of Surface Presented by Various Radiators:— 
 
 Table X, gives, according to the ■columns and heights, 
 the number of square feet of heating surface per section 
 in cast and pressed radiators. This table will be found to 
 present, in very compact form, the similar and much more 
 extended tables in the various manufacturers' catalogs. 
 An approximate rule supplementing this table and giving, 
 to a very fair degree of accuracy, the square feet of sur- 
 face in any standard radiator section, Is as follows: mul- 
 tiply the height of the section in inches hy the number of columns 
 and divide ty the constant 20. The result is the square feet of 
 radiating surface per section. The rule applies. with least ac- 
 curacy to the one-column radiators. 
 
108 
 
 HEATING AND VENTLATION 
 
 TABLE X. 
 
 Dimensions and Surfaces of Radiators, per Section. 
 
 Type of 
 Radiator 
 
 
 11 
 
 c — 
 
 "SB 
 
 
 
 Radiator Heiglit! 
 
 i. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^i 
 
 gg 
 
 45' 
 
 38" 
 
 82» 
 
 26» 
 
 23" 
 
 22" 
 
 20" 
 
 18" 
 
 16« 
 
 14» 
 
 
 
 8 
 
 
 3 
 
 9M 
 
 2 
 
 1^ 
 
 
 \% 
 
 
 
 
 1 Ool 0. I. 
 
 
 2 0ol. 0. I 
 
 8 
 
 8 
 
 6 
 
 4 
 
 8H 
 
 iy^ 
 
 2}i 
 
 
 2 
 
 
 
 
 SOol.O.I 
 
 9% 
 
 8 
 
 6 
 
 5 
 
 4H 
 
 s% 
 
 
 3 
 
 
 
 2J< 
 
 
 
 40ol.O. I 
 
 11 
 
 8>^ 
 
 10 
 
 8 
 
 6}i 
 
 5 
 
 
 4 
 
 
 8 
 
 
 .... 
 
 Flue Wide.... 
 
 1?^ 
 
 8 
 
 
 
 
 
 
 
 (f 
 
 5^ 
 
 4% 
 
 4 
 
 8 
 
 8 
 
 
 7 
 
 fm 
 
 4V4 
 
 
 
 
 
 
 1 Ool. Press... 
 
 4 
 
 IH 
 
 
 
 1% 
 
 l>i 
 
 
 
 1 
 
 .... 
 
 
 X 
 
 2 Ool. Press .. 
 
 7% 
 
 2 
 
 
 4 
 
 S'A 
 
 2J4 
 
 
 
 2 
 
 
 
 IM 
 
 8 Ool. Press . . 
 
 WA 
 
 2% 
 
 
 .... 
 
 Wk 
 
 4?i 
 
 
 
 8H 
 
 .... 
 
 .... 
 
 2Vi 
 
 1 Ool. Wall 
 
 8H 
 
 1% 
 
 
 
 
 
 
 
 
 1 
 
 
 ^ 
 
 Pressed 
 
 
 
 
 
 
 
 
 
 76. Hot Water Heaters: — Heaters for supplying the hot 
 water to a heating system may be divided into three classes-. 
 — the round vertical, for comparatively small installations; 
 the sectional, for plants of medium size; and the water tube 
 or fire tube heater with brick setting for the larger In- 
 stallations and for central station work. The round and 
 sectional types usually have a ratio between grate and 
 heating surface of 1 to 20, while the water tube or fire tube 
 heater will have, as an average, 1 to 40. Many different 
 arrangements of heating surface are in use to-day, every 
 manufacturer having a product of particular merit. Trade 
 catalogs supply the most up-to-date literature on this 
 subject, but cuts of each of the types mentioned above may 
 be found in Fig. 55. 
 
 77. Steam Boilers: — The products of many manufac- 
 turers show but little difference between the hot water 
 heater and the steam boiler. The latter is usually supplied 
 with a somewhat larger dome to give greater steam stor- 
 age capacity. For heating purposes, steam boilers fall 
 into the same three classes as mentioned under water heat- 
 
HOT WATER AND STEAM HEATING 
 
 109 
 
 ers, having about the same ratio of heating surface to grate 
 surface. With the steam boiler generating steam at 
 5 pounds gage, the temperature on one side of the heating 
 surface is about 227 degrees, while in a water heater the 
 temperature on the same side is about 180 degrees. Hence, 
 with the same temperature of the burning gases, the tem- 
 perature difference is greater in a water heater than in a 
 
 Bound Under-Feed 
 
 Sectional Top Feed 
 
 Fire Tube Type 
 Fig. 55. 
 
110 
 
 HEATING AND VENTILATION 
 
 boiler, resulting in a more rapid transfer of heat, and A 
 correspondingly greater efficiency. 
 
 78. Combination Systems;— Combination systems are 
 frequently used, principally the one which combines warm 
 air heating with either steam or hot water. For such a 
 system there is needed a combination heater, as shown In 
 Fig. 20. It consists essentially of a furnace for supplying 
 warm air to some rooms, the downstairs of a residence for 
 instance, and contains also a coil for furnishing hot water 
 to radiators located in other rooms, say, on the upper floors, 
 or in places where it would be difficult for air to be de- 
 livered. Considerable difficulty has been encountered in 
 properly proportioning the heating surface of the furnace 
 to that of the hot water heater, and the systems have not 
 come into general use. 
 
 79. Fittingrs: — Common and Special t— 'Couplings, elbows 
 and tees, especially for hot water work, should be so formed 
 as to give a free and easy sweep to the contents. It is 
 highly desirable in hot "water work to use pipe bends of a 
 
 Fig. 56. 
 
 radius of about fiVQ pipe diameters, instead of the common 
 elbow. In either case all pipe ends should be carefully 
 reamed of the cutting burr before assembling. This is 
 most important, as the cutting burr is sometimes heavy 
 enough to reduce the area of the pipe by one-half, thus 
 creating serious eddy currents, especially at the elbows. 
 If the single main hot water system be installed, great 
 care should be used to plan the mains in the shortest and 
 most direct routes, and the special fittings described and 
 shown in Art. 65 should be used. 
 
 Eccentric reducing fittings are often of value In avoiding 
 pockets in steam lines. Fig. 56 shows types of these, which 
 should always be used when, by reduction or otherwise, a 
 
HOT WATER AND STEAM HEATING 
 
 111 
 
 harizontial steam pipe would present a pocket for the col- 
 lection of condensation with its resultant water hammer. 
 
 Valves for either steam or hot water should be of the 
 gate pattern rather than the globe pattern. The latter is 
 objectionable in hot water systems because of the resistance 
 offered the stream of water, due to the fact that the axis 
 of the valve seat opening is perpendicular to the axis of 
 the pipe. The globe valve is objectionable in some 
 steam lines because of the fact that in a horizontal run 
 of pipe it forms very readily a pocket for the collection 
 of condensation, thus often producing a source of water 
 hammer. In every way gate valves are preferable, for, as 
 shown in Fig. 57, they present a free opening without turns. 
 
 The same caution applies 
 in the use of check valves. 
 Swing checks should al- 
 ways be specified rather 
 than lift checks, for the 
 former ofEer much less re- 
 sistance to the passage of 
 the hot water, or the 
 steam and condensation, as 
 the case may be. Fig. 58 
 
 shows a lift check and a 
 
 Fie 57 
 
 ^* swing check. 
 
 To avoid the annoyance so often experienced by leaky 
 
 packing around valve stems, there have been designed and 
 
 Fig. 58. 
 
 placed on the market various forms of packless valves. 
 These are to be especially recommended for vacuum work, 
 as the old style valve with its packed stem Is, perhaps, the 
 cause of more failures of vacuum systems than any other 
 one item. Fig. 59 shows a section of this type of valve using 
 
112 
 
 HEATING AND VENTILATION 
 
 the diaphragm as the flexible wall. AW 
 packless valves will be found to use a dia- 
 phragm of one 'form or another. 
 
 Quick-opening Valves, or butterfly valves, 
 are much used on hot water radiators; one- 
 quarter turn of the wheel or handle serves 
 to open these full and, when closed, they 
 are so arranged that a small hole through 
 IFigr. 59. the valve permits just enough leakage to 
 
 keep the radiator from freezing. Special radiator valves for 
 
 steam may also be obtained. 
 
 Air valves have a most important function to dischargee. 
 As the air accumulates above the water or steam In th« 
 
 Fig. 60. 
 
 radiators, Its removal becomes absolutely necessary, If all 
 of the radiating surface is to remain effectual. For this 
 purpose small hand valves or pet cocks, Fig. 60, are in- 
 serted near the top of the end section in all hot water 
 work; and either these same valves or automatic ones are 
 inserted for steam work. Valves are not as essential on 
 two-pipe steam systems as on water or single-pipe steam 
 systems, yet are generally used. For steam the air valve 
 should be about one-third the radiator height from the top. 
 
 Fig. 61 shows a common type 
 of automatic air valve using the 
 principle of the expansion stem. As 
 long as the air flows around the 
 stem and exhausts, the stem re- 
 mains contracted, and the needle 
 valve open; but when the hot steam 
 enters and flows past the expansion 
 stem. It lengthens sufllciently to close the needle valve. In 
 other forms of air valves the heat of the steam closes the 
 needle valve by the expansion of a volatile liquid in a small 
 closed retainer. In still other forms the lower part of the 
 valve casing is filled with water of condensation upon 
 which floats an inverted cup, having air entrapped wlthla. 
 
 Fig. 61. 
 
HOT WATER AND STEAM HEATING 
 
 113 
 
 This cup carries the needle of the valve at its upper ex- 
 tremity, the heat of the steam expanding the air sufficiently 
 to raise the cup and close the valve. Where the system is de- 
 signed to act as a gravity installation, special air valves must 
 be used which will not allow air to enter at any time. Fig. 
 €2 shows a type of automatic valve designed to accommo- 
 date larger volumes of air with promptness, 
 as when a long steam main or large trap is 
 to be vented. This type employs a long cen- 
 tral tube, as shown, which carries at the top 
 the valve seat of the needle valve. The 
 needle itself is carried by the two side rods. 
 As long as the air flows up through the 
 central pipe, the needle valve will remain 
 open; but when hot steam enters the tube, 
 it expands, and carries the valve seat up- 
 ward against the needle, thus closing the 
 valve. The size and strength of parts makes 
 this form a very reliable one. 
 The expansion tank. Fig. 63, for a hot wat- 
 er system is often located in the bath room or 
 closet near the bath room and its overflow 
 connected to proper drainage. It should be 
 at least 2 feet above the highest radiator. 
 The connection to the heating system mains 
 Is most often by a branch from the nearest 
 radiator riser, or it may have an independ- 
 ent riser from the basement flow main. The 
 capacity of the tank is usually taken at 
 about one-twentieth of the volume of the 
 entire system, or a more easily applied rule 
 is to divide the total radiation 6|/ 40 to obtain the 
 See Table 39, Appendix. 
 
 {Fig. 62. 
 capacity of the tank in gallons 
 
 Fig, 63. 
 
CHAPTER VIII. 
 
 HOT >VATER AND STEAM HEATING. 
 
 PRINCIPLES OF THE DESIGN, WITH APPLICATIOK. 
 
 In a hot water or steam system, the first Important 
 Item to be determined by calculation is the amount of 
 radiation, in square feet, to be installed in each room. 
 Nearly all other items, such as pipe sizes, boiler size, grrat« 
 area, etc., are estimated with relation to this total radia- 
 tion to be supplied. The correct determination, then, of 
 the square feet of radiation in these systems is all-Im- 
 portant. 
 
 80. Calculation of Radiator Surface: — Considerlngr the 
 standard room of Chapter III, where the heat loss was de- 
 termined to be 14000 B. t. u. per hour on a zero day, the 
 problem is to find what amount of surface and what size of 
 radiator will deliver 14000 B. t. u. per hour to the room, 
 under the conditions as given. Experiments by numerous 
 careful investigators have shown that the ordinary cast Iron 
 radiator, located within the room and surrounded with com- 
 paratively still air, gives off heat at the rate of 1,7 B. t. u. 
 (1.6 to 1.8, or 1.7 average) per square foot per degree 
 difference between the temperature of the surrounding air 
 and the average temperature of the heating medium, per 
 hour. This is called the rate of transmission. With hot 
 water the average conditions within the radiator have 
 been found to be as follows: temperature of the water en- 
 tering the radiator 180 degrees; leaving the radiator 160 
 degrees; hence, the average temperature at which the in- 
 terior of the radiator is maintained is 170 degrees. Since, 
 In this country, the standard room temperature is 70 de- 
 grees, and, for hot water, the "degree difference" Is 170 — 
 70 = 100, then a hot water radiator will give off under 
 standard conditions 1.7 X 100 = 170 B. t. u. per sq. ft. per hour. 
 The temperature within a steam radiator carrying steam at 
 pressures varying between 2 and 5 pounds gage is usually 
 taken at 220 degrees, and the total transmission is approx- 
 imately 1.7 X (220 — 70) = 255 B. t. u. per square foot per 
 
hour. The general formula for the square feet of radiation, 
 then, is 
 
 H — Total B. t. u. lost from the room per hour 
 
 1.7 (Temp. diff. between inside and outside of rad.) 
 
 For Jiot water, direct radiation heating, this becomes, to the 
 
 nearest thousandth 
 
 H 
 
 Rw = = .006 H (30) 
 
 1.7 (170 — 70) 
 
 For steam, direct radiation 
 
 H 
 
 Rs = = .004 H (31) 
 
 1.7 (220 — 70) 
 
 Rule. — To find the square feet of radiation for any room divide 
 the calculated heat loss in B. t. u. per hour hy the quantity 1.7 
 times the difference in temperature "between the inside and the out- 
 side of the radiator. 
 
 It will be noticed from (30) and (31) that Rw = 1.5 Rs which 
 accounts for the practice that some people have of finding 
 all radiation as though it were steam, and then, when hot 
 water radiation is desired, adding 50 per cent, to this 
 amount. 
 
 Application. — From the standard room under considera- 
 tion, formula 30 gives Rw = .006 X 14000 = 84 square feet 
 of radiator surface for hot water; and formula 31 gives R* 
 = .004 X 14000 = 56 square feet of radiator surface for 
 steam. From these values the number of sections of a giv- 
 en type of radiator can be determined by dividing by the 
 area of one section, as explained in the preceding chapter. 
 The length of the radiator may also be found from this 
 same table, by noting the thickness of the section*?, and 
 multiplying by their number. 
 
 Formulas 30 and 31 give the standard ratios be- 
 tween the heat loss and direct radiation. If, however, the 
 radiation is installed as direct-indirect, it is quite common 
 practice to increase the amount of direct radiation by 25 
 per cent, to allow for the ventilation losses. On this basis 
 formulas 30 and 31 become, respectively, 
 
 Rw = .0075 H (32) 
 
 Rs = .005 H (33) 
 
 Duct sizes for properly accommodating the air in 
 direct-indirect heating may be taken from the following: 
 
116 HEATING AND VENTILATION 
 
 To obtain the duct area in square inches, multiply the square feet 
 of radiation by .75 to 1 for steam, and by .5 to .75 for hot water. 
 To obtain the amount" of air which may be expected to enter and 
 pass through the radiator into the room, multiply the square feet 
 of radiation by 100 for steam, or by 75 for hot water. This gives 
 the cubic feet of air entering per hour. 
 
 Again, if the radiation is insta'lled as purely indirect, 
 yet not as a plenum system, it is common to increase the 
 amount of direct radiation by 50 per cent. Now formulas 30 and 
 31 become, respectively, 
 
 Rw — .009 H (34)-a 
 
 Rs = .006 H (34)-b 
 
 For proportioning the duct sizes in indirect heating 
 use the following table. To obtain the duct area in square 
 Inches, multiply the square feet of radiation installed by 
 
 Steam Hot Water 
 
 First Floor 1.5 to 2.0 1.0 to 1.33 
 
 Second Floor 1.0 to 1.25 .66 to .83 
 
 Other Floors .9 to 1.0 . 6 to .66 
 
 Vent ducts, where provided, are usually taken .8 of the 
 area of supply ducts. Also, for finding the amount of air In 
 cubic feet, which may be reasonably expected to enter 
 under these conditions. Carpenter gives the following: 
 Multiply the square feet of indirect radiation by 
 
 Steam Hot Water 
 First Foor 200 150 
 
 Second Floor 170 130 
 
 Other Floors 150 115 
 
 If this amount of air is insufficient for the desired degree 
 of ventilation, more air must be brought in by correspond- 
 ingly larger ducts, and for each 300 cubic feet additional 
 with steam, or each 200 cubic feet additional with hot 
 water, add one square foot to the radiation surface. 
 
 A steam system may be installed to work at any pres- 
 sure, from a vacuum of, say, 10 pounds absolute, to as high 
 a pressure as 75 pounds absolute. To calculate the prop- 
 er radiation for any of these conditions use formula 31 or 
 its derivatives, and substitute the proper steam tempera- 
 ture in place of 220 degrees. 
 
 In like manner, to find the amount of hot water radi- 
 ation for any other average temperatures of the water 
 
HOT WATER AND STEAM HEATING 117 
 
 than the one given, merely substitute the desired average 
 temperature in the place of 170. One point should be re- 
 membered, the maximum drop in temperature as the water 
 passes through the heater will seldom be more than 20 
 degrees, even under severe conditions. More often it will 
 be less, but this value is used in calculations. Again, the 
 temperature of the entering water may be at the boiling 
 point, if necessary, thus causing each square foot of sur- 
 face to be more efficient and consequently reducing the to- 
 tal radiation in the room. To illustrate, try formula 30 
 with a drop in temperature from 210 to 190 degrees and find 
 64 square feet of radiator surface for this room. Since a 
 radiator always becomes less efficient from continued use, it 
 is best to design a system with a lower temperature as 
 given in the formula, and then, if necessary under stress 
 of conditions, this system may be increased in capacity by 
 increasing the water temperature up to the boiling point. 
 81. Empirical Formulas: — All of the above formulas may 
 be considered as rational and checked by years of experience 
 and application. Many empirical formulas have been de- 
 vised in an attempt to simplify, but the results are always 
 so untrustworthy that the rules are worthless unless used 
 with that discretion which comes only after years of prac- 
 tical experience. Many of these rules are based on the 
 cubic feet of volume heated, without any other allowance, 
 these being given anywhere from one square foot of steam 
 surface per 30 cubic feet of space, to one square foot to 
 100 cubic feet. The extreme variation itself shows the un- 
 reliableness of this method, and under no conditions should 
 it be used for proportioning radiating surface. Various 
 central heating companies, and others, proportion radia- 
 tors for their plants according to their own formulas, 
 among which the following may be noted. 
 
 G W G G W G 
 
 (a) Rv, = 1 1 R, = h f- 
 
 2 10 60 2 10 200 
 
 2 
 
 (b) Rio — G + .05 W + .01 C Rs =— (G + .05 W + .01 C) 
 
 3 
 
 (c) Rw = .75 G + .10 W + .01 C Rs = .B G + .05 W + .005 G 
 It is evident that these are really simplified forms of Car- 
 penter's original formula. "When applied to the sitting 
 room, where Carpenter's formula gave, for hot water and 
 steam, 84 square feet and 56 square feet, respectively, (a) 
 
118 HEATING AND VENTILATION 
 
 gives 85.5 and 63, (b) gives 75 and 50, and (c) gives 82.5 
 and 46 respectively. 
 
 Another approximate rule devised by John H. Mills 
 anl still used to some extent is "Allow 1 square foot of 
 steam radiation for every 200 cubic feet of volume, 1 square 
 foot for every 20 square feet of exposed wall and 1 square 
 foot for every 2 square feet of exposed glass." Applying 
 this to the standard room, it gives 9.75 + 13.25 + 18 = 41 
 square feet of steam radiation as against 56 square feet 
 by rational formula. This shows a considerable difference 
 from the. rules preceding, 
 
 82. Greenhouse Radiation: — The problem of properly 
 proportioning greenhouse radiation is considered, by some, 
 of such special nature as to justify the use of empirical 
 formulas. The fact that the glass area is so large compared 
 to the wall area and the volume, combined with the fact 
 that the head of water in the system is small and that the 
 radiation surface is usually built up as coils from 1%, 1% or 
 2 inch wrought iron pipe, gives rise to a problem that differs 
 essentially from that of a room of ordinary construction. It 
 is not surprising, therefore, to find a great variety of empir- 
 ical formulas designed exclusively for this work. Whatever 
 merit these may ^ave, they do not give the assurance that 
 comes from the application of rational formulas. It Is always 
 best to use rational formulas first and then check by the 
 various empirical methods. 
 
 Formulas 30 and 31, stated in Art. 80, when properiy 
 modified, are applicable to greenhouses and give very re- 
 liable results. As stated above, the radiating surface is 
 usually that of wrought iron pipes hung below the flower 
 benches or along the side walls below^ the glass. The trans- 
 mission constant, K, for wrought iron or mild steel is 2.0 to 
 2.2 B. t. u. per square foot per degree difference per hour, 
 making the total transmission per square foot of coil surface 
 per hour about 2(170 — 70) = 200 for hot water, and 2(220 
 — 70) = 300 for steam. These values may be safely used. 
 The only necessary modification of the two formulas men- 
 tioned, consists in replacing the constant 1.7 by 2, giving 
 for hot icater jj 
 
 RxB = = .005 H (35)-a 
 
 2(170 — 70) 
 And for ateam 
 
 "•= 2(220-70) =■«»'"' ""-" 
 
HOT WATER AND STEAM HEATING 
 
 119 
 
 If, however, the highest temperature at which it is desirable 
 to maintain the house in zero weather is other than 70 de- 
 grees, this temperature should be used instead of 70. 
 
 In a greenhouse there is very little circulation of air, 
 hence the heat loss, H, would be found from the equivalent 
 glass area i. e., (G + -25 W). Formulas 35-a and 6 would 
 then reduce to Rxo = .35 (G + .25 W) and Rs = .23 ((? + .25 W). 
 It is noticed that these values give about one square foot of 
 H. W. radiation to 2.8 square feet of equivalent glass area, and 
 one square foot of steam radiation to 4:. 4: square feet of equivalent 
 glass area as approximate rules. These figures should be considered 
 a minimum. 
 
 Empirical rules for greenhouse radiation, quoted by 
 many firms dealing in the apparatus, are usually given in 
 the terms of the number of square feet of glass surface 
 heated by one lineal foot of 1^4 inch pipe. A very commonly 
 quoted and accepted rule is, one foot of 1% inch pipe to 
 every 2^/4 square feet of glass, for steam; or, one foot of 
 1^/4 inch pipe to every 1% square feet of glass, for hot water, 
 when the interior of the house is 70 degrees in zero weather. 
 Table XI, taken from the Model Boiler Manual, shows 
 the amount of surface for different interior temperatures 
 and different temperatures of the heating medium. 
 
 In general, it may be said that in greenhouse heating, 
 great care should be used in the rating and the selection 
 
 RISE FOF 
 
 WATER OR STEAr-l 
 
 Fig. 64. 
 
 of the boilers or heaters. It is well to remember that the 
 severe service demanded by a sudden change in the weather 
 is much more difficult to meet in greenhouses than in ordin- 
 ary structures, and that a liberal reserve in boiler capacity 
 is highly desirable. 
 
 If any greenhouse under consideration can be heated 
 from some central plant where the heat will be continuous 
 throughout the night with a man in charge at all times, 
 
120 
 
 HEATING AND VENTILATION 
 
 then steam Is very desirable because of the reduced amount 
 of heating surface necessary. If, however, In cold weather 
 the steam pressure to be allowed to drop during the night- 
 time, then hot water should be used. This permits a better 
 circulation of heat throughout the greenhouse during the 
 night. The same rules apply in running the mains and 
 risers as would apply in the ordinary hot water and steam 
 systems. In greenhouse work the head of water is very 
 low and this makes the circulation rather sluggish but with 
 sufficient pipe area and a minimum friction a hot water 
 system may be used with satisfaction. In some houses the 
 coils are run along the wall below the glass and supported 
 on wall brackets, in others they are run underneath the 
 benches and supported from the benches with hangers, 
 while in greenhouses with very large exposure there -are 
 sometimes required both wall and bench coils. In all of 
 these piping layouts it is necessary that a good rise and 
 fall be given to the pipes. Fig. 64 shows two systems of 
 pipe connections, one where the steam or flow enters the 
 coils from above the benches and the other where it enters 
 from below, the return in each case being at the lowest 
 point. These bench coils could be run along the wall with 
 equal satisfaction. 
 
 TABLE XL 
 
 ©a, 
 
 Temperature of Water in Heating Pipes 
 
 Steam 
 
 S 
 E-t 
 
 140O 
 
 I6OO 
 
 I8OO 
 
 200'5 
 
 Three lbs. 
 
 
 
 
 
 Pressure 
 
 Square feet of glass and its equivalent pro 
 
 portioned to 
 
 one square foot of surface In heating pipes 
 
 J or radiator 
 
 40° 
 
 4.33 
 
 5.26 
 
 6 66 
 
 7.69 
 
 8. 
 
 7.6 
 
 45° 
 
 8.63 
 
 4.65 
 
 6 56 
 
 6.66 
 
 7.6 
 
 6.75 
 
 600 
 
 8.07 
 
 8. 92 
 
 4 76 
 
 6.71 
 
 7. 
 
 6.0 
 
 650 
 
 2.63 
 
 8.39 
 
 4. 16 
 
 5. 
 
 6.6 
 
 6.6 
 
 60O 
 
 2. 19 
 
 2. 89 
 
 8. 68 
 
 4.83 
 
 6. 
 
 5.0 
 
 66° 
 
 1.86 
 
 2. 58 
 
 8. 22 
 
 8.84 
 
 5.6 
 
 4.5 
 
 70O 
 
 1.68 
 
 2.19 
 
 2.81 
 
 8 44 
 
 6. 
 
 4.26 
 
 750 
 
 1.87 
 
 1.92 
 
 2 6 
 
 8.07 
 
 4.6 
 
 4.0 
 
 800 
 
 1.16 
 
 1.68 
 
 2. 17 
 
 2 78 
 
 4. 
 
 3.75 
 
 850 
 
 .99 
 
 1.42 
 
 1.92 
 
 2.46 
 
 8.5 
 
 8.6 
 
 This table is computed for zero weather; for lower 
 temperatures add 1% per cent, for each degree below zero. 
 
HOT WATER AND STEAM HEATING 121 
 
 The last column in Table XI- has been calculated from 
 formula 35-b and added for purpose of comparison. 
 
 Application. — Given an even span greenhouse 25 ft. wide, 
 100 ft. long and 5 ft. from ground to eaves of roof, having 
 slope of roof with horizontal 35°. Ends to be glass above 
 the eaves line. What amount of hot water radiation with 
 water at 170° and what amount of low pressure steam radia- 
 tion would be installed? 
 
 Length of slope of roof = 12.5 -^ cos. 35° = 15.25. 
 
 Area of glass = 15.25 X 100 X 2 + 2 X 12.5 X 8.8 = 3270 
 sq. ft. 
 
 Area of wall = 5X100X2 + 5X25X2 = 1250 sq. ft. 
 
 Glass equivalent = 3270 + .25 X 1250 = 3582.5 sq. ft. 
 
 Rw= .35 X 3582.5 = 1253.8 sq. ft. 
 
 iJs = .23 X 3582.5 = 824. * ,sq. ft. 
 
 From Table XL 
 
 Riv= 3582.5 -r 2.5 = 1433 sq. ft. 
 
 Rs = 3582.5 -r- 5 = 716. .sq. ft. 
 
 ♦Check with last column of Table XI. 
 
 83. The Determination of Pipe Siz^s: — The theoretical 
 determination of pipe sizes in hot water and steam systems 
 has alw^ays been more or less unsatisfactory, first, because 
 of the complicated nature of the problem when all points 
 having a bearing upon the subject are considered, and 
 second, because it is almost an impossibility to even ap- 
 proximate the friction offered by different combinations and 
 conditions of piping. The following rather brief analysis 
 gives a theoretical method for determining pipe sizes where 
 friction is not considered. 
 
 In a hot water system let the temperatures of the water, 
 entering and leaving the radiator be, respectively, 180 
 and 160 degrees; then it is evident that one pound of the 
 water in passing through the radiator, gives off 20 B. t. u. 
 Under these conditions the standard room would have 14000 -4- 
 20 = 700 pounds of water passing through the radiator per 
 hour. Converting this to gallons, it is found to be 84.03. 
 But the radiation for this room was found to be 84 square 
 feet. Therefore, it may be said that a hot water radiator 
 unde" normal conditions of installation and under heavy 
 service requires one gallon of water per square foot of sur- 
 face per hour. Knowing the theoretical amount of water 
 per hour, it remains only to obtain the theoretical speed 
 
122 HEATING AND VENTILATION 
 
 at which it travels, due to unbalanced columns, to obtain 
 finally, by division, the theoretical area of the pipe. 
 
 Consider a radiator to be about 10 feet above the 
 source of heat, and the temperature in the flow riser to be 
 180 degrees and in the return riser 160 degrees, good values 
 in practice. Now the heated water in the flow riser 
 weighs 60.5567 pounds per cubic foot, while that in the 
 return riser weighs 60.9697 pounds per cubic foot. The mo- 
 
 tive force Is f =^ g ( ) where g is the acceleration 
 
 \ W + W / 
 
 due to gravity, W is the specific gravity (weight) of the 
 cooler column and W is the specific gravity (weight) of the 
 warmer column. Substitute / for g in the velocity formula 
 
 and obtain v = •^2fh and 
 
 W — W 
 v=^l 2ghl ) (36) 
 
 : J 2gh{ ) 
 
 Inserting values W, W and assuming 7» = 10 feet, we have 
 
 p = V2 X 32.2 X 10 X .0034 = V2.1S96 = 1.47 feet per second. 
 From this it has become a custom to speak of 1.5 feet per 
 second or 5400 feet per hour, as the theoretical velocity of 
 water in, say, a first floor riser, disregarding the effect of 
 all friction and horizontal connections. Theoretical veloci- 
 ties for any other height of column and for other temper- 
 atures may be obtained in like manner. Continuing this 
 special investigation and changing the 84 gallons per hour 
 to cubic inches per hour by multiplying by 231, the internal 
 pipe area may be obtained by dividing by the unit speed 
 per hour which gives (84 X 231) -^ (5400 X 12) = .3 square 
 inch. This corresponds to approximately a % inch pipe 
 and without doubt, would supply the radiator if the sup- 
 position of no frictional resistances could be realized. This 
 ideal condition, of course, cannot be had, nor can the fric- 
 tion in the average house heating plant be theoretically 
 treated with any degree of satisfaction. Hence it is still 
 the custom to use tables for the selection of pipe sizes, 
 based upon what experience has shown to be good practice. 
 Such tables, from various authorities, may be found in the 
 Appendix. It is safe to say that one should never use any- 
 thing smaller than a 1 inch pipe in low pressure hot water 
 work. 
 
 ■^'ith steam system*, where the heating medium is a vapor. 
 
HOT WATER AND STEAM HEATING 123 
 
 and subject in a lesser degree to friction, the discrepancy 
 between the theoretical and the practical sizes of a pipe 
 is not so great as in hot water. Each pound of steam, in 
 condensing, gives off approximately 1154 — 181 = 973 B. t. u. 
 To supply the heat loss of the standard room, 14000 B. t. a. 
 per hour, it would require 14.5 pounds of steam per hour. 
 When it is remembered that the calculated surface of the 
 direct steam radiator for this room was 56 square feet, it 
 appears that a radiator, under stated conditions and under a 
 heavy service, requires one-fourth of a pound of steam per square 
 foot of surface per hour. This may be shown in another way: 
 each square foot of steam radiation g-ives off 255 B. t. u. 
 per hour; then, each square foot will condense 255 -r- 973 = 
 .26 + pounds of steam per hour. 
 
 Now the volume of the steam per pound at the usual 
 steam heating pressure, 18 pounds, absolute, is 21.17 cubic 
 feet. Since the standard room radiator required 14.5 pounds 
 per hour, it would, in that time, condense steam corres- 
 ponding to a void of 21.17 X 14.5 = 307 cubic feet per hour. 
 This is the volume of the steam required by the radiator, 
 and, if the speed of the steam in the pipe lines be taken 
 at 15 feet per second, or 54000 feet per hour, the area of 
 the pipe would be 307 X 144 ~- 54000, or .82 square inch, 
 corresponding very closely to a 1 inch pipe. For a two- 
 pipe system this would be considered good practice under 
 average conditions; but in a one-pipe system, where the 
 condensation is returned against the steam in the same 
 pipe that feeds, a pipe one size larger would be taken. 
 
 Table 35, Appendix, calculated from Unwin's formula, 
 may be used in finding sizes and capacities of pipes carrying 
 steam. In addition to this, Tables 31, 32, 33 and 34 give sizes 
 that are recommended by experienced users. 
 
 For a theoretical discussion of loss of head by friction 
 in hot water and steam pipes, see Arts. 147 and 175. 
 
 84. Grate Area; — To obtain the grate area for a direct 
 radiation hot water or steam system by the B. t. u. method, 
 the same analysis as found in Chapter IV may be applied. 
 The total B. t. u. heat loss, H, is that calculated by the 
 formula and does not include Hv, the heat loss due to ven- 
 tilation, since with the direct hot water or steam system as 
 usually installed no ventilation is provided. In any special 
 case where ventilation is provided in excess, use H' instead 
 of H. The commercial rating of heaters and boilers is a 
 
124 HEATING AND VENTILATION 
 
 subject each day receiving greater attention at the hands 
 of manufacturers; yet it is a subject where much uncer- 
 tainty is felt to exist. Hence the recommendation, "Always 
 check grate area by an actual calculation," rather than rely 
 entirely upon the catalog ratings. 
 
 85, Pitch of Mains: — The pitch of the mains is quite as 
 important in liot water as in steam work. This should be 
 not less than 1 inch in 10 feet for hot water systems, and not 
 less than 1 inch in 30 feet for steam systems. Greater 
 pitches than these are desirable, but not always practic- 
 able. In hot water plants the pitch of the basement mains, 
 whether flow or return, is upward as these mains extend 
 from the source of heat, that is, the highest point Is the 
 farthest from the heater. In steam plants the mains, under 
 any condition of arrangement, always pitch downward 
 in the direction of the flow of the condensation. 
 
 86. Location and Connection of Radiators: — In locat- 
 ing radiators, it is best to place them along the outside or 
 the exposed walls. When allowable, under the windows 
 seems to be a favorite position. Especially in buildings 
 of several stories, the radiators should be arranged, where 
 possible, in tiers, one vertically above another, thus re- 
 ducing the number of and avciding the offsets in the risers. 
 In the one-pipe system any number of radiators may be con- 
 nected to the same riser. In the two-pipe system several 
 radiators may have either a common flow riser, or a common 
 return riser, but should never have both, either with hot 
 water or with steam. 
 
 The connections from the risers to the radiators should 
 be slightly pitched for drainage and are usually run along 
 the ceiling below the radiator connected. These connections 
 should be at least two feet long to give that flexibility of 
 connection to the radiator made necessary by the expan- 
 sion and contraction of the long riser. Similarly, all risers 
 should be connected to the mains in the basement by hori- 
 zontals of about two feet to allow for the expansion and 
 contraction of the mains. A system thus flexibly connected 
 stands In much less danger of developing leaky joints than 
 does one not so connected. For sizes of radiator connections 
 see Table 29, Appendix. 
 
HOT WINTER AND STEAM HEATING 125 
 
 87. General Application: — Figs. 65, 66 and 67 show the 
 typical layout of a hot water plant. Due to the similarity be- 
 tween hot water and steam installations, the former only will 
 be designed complete. In attempting the layout of such a 
 system, the very first thing to be done is to decide at what 
 points in the rooms the radiators should be placed. This 
 should be done in conjunction with the owner as he may 
 have particular uses for certain spaces from which radia- 
 tors are hence excluded. The first actual calculation should 
 be the heat loss from each room, with the proper exposure 
 losses, and the results should be tabulated as the first 
 column of a table s.imilar to Table XII. In the 
 example here given, this loss is the same as, and taken 
 from, the table of computations for the furnace work. Art. 
 48, the house plans being identical. The second column 
 of Table XII, as indicated, is the square feet of radiation; 
 and since this is a hot water, direct radiation system. It 
 is obtained by taking .006 of the items in the first column 
 according to formula 30. Knowing this, a type and 
 height of radiator can be selected, and the number of 
 sections determined by Table X. Next obtain the lengths 
 of radiators by multiplying the number of sections by the 
 total thickness of the sections, as given in Table X, and 
 determine whether or not the radiator of such a length 
 will fit into the chosen space. If not, then a radiator of 
 greater height and larger surface per section must be 
 selected. Riser sizes and connections may be taken ac- 
 cording to Tables 31 and 29 respectively. The column of 
 Table XII headed "Radiators Installed" gives first the num- 
 ber of sections; second, the height in inches; and third, the 
 number of columns or type of the section. 
 
 Locate radiators on the second floor and transfer the 
 location of their riser positions to first floor plan, then to 
 the basement plan. Locate radiators on the first floor and 
 transfer their riser locations to the basement plan, which 
 will then show, by small circles, the points at which all 
 risers start upward. This arrangement will aid greatly in 
 the planning of the basement mains. 
 
 The keynotes in the layout of the basement mains 
 should be simplicity and directness. If the riser positions 
 show approximately an even distribution all around the 
 basement, it may be advisable to run the mains in 
 
126 HEATING AND VENTILATION 
 
 complete circuits around the basement. If, again, the 
 riser positions show aggregation at two or three localities, 
 then two or three mains running directly to these localities 
 would be most desirable. As an example, take the applica- 
 tion shown here. The basement plan shows three clusters 
 of riser ends, one under the kitchen, another under the 
 study, and a third on the west side of the house. This 
 condition immediately suggests three principal mains, as 
 shown. The main toward the kitchen supplies the bath, 
 chamber 4 and the kitchen, making a total of 131 square 
 feet. Being only about 13 feet long, it would readily carry 
 this radiation if of 2 inch diameter. See Table 34, Appendix. 
 The main to the study and the hall supplies chamber 1, the 
 hall and the study, making a total of 221 square feet, which, 
 can be carried by a 2^^ inch pipe. The main to the west side 
 of the house supplies chamber 2, chamber 3, the sitting room 
 and the dining room, a total of 249 square feet, which would 
 almost require a 3 inch main, according to the table, were 
 it not for its comparatively short length. A 2^4 inch pipe 
 would amply supply this condition. 
 
 In hot water work, as well as in steam, it is customary 
 to take the connections to flow risers from the top of the 
 mains, thus aiding the natural circulation. Fig. 35. If not 
 taken directly from the top of the main, it is often taken at 
 about 4.5 degrees from the top. This arrangement, with a 
 short nipple, a 45 degree elbow, and the horizontal connec- 
 tion about 1^/^ to 2 feet long, makes a joint of sufficient 
 flexibility between the main and riser to avoid expansion 
 troubles. 
 
 In the selection of a heater or boiler much that has 
 been said concerning furnaces applies. The heater or boiler 
 should, above all, have ample grate area, checked on a B. 
 t. u. basis, and should have a sufficient heating surface so 
 designed that the heated gases from the flre impinge per- 
 pendicularly upon it as often as may be without seriously 
 reducing the draft. As shown by the total of the radiation 
 column, a hot water boiler should be selected of such rated 
 capacity as to include the loss from the mains and risers. 
 Since this loss is usually taken from 20 to 30 per cent., de- 
 pending upon the thoroughness with which the basement 
 mains are insulated, the heater for this house should have 
 a rated capacity of not less than 720 square feet of radiation. 
 
HOT WATER AND STEAM HEATING 
 TABLE XII. 
 
 127 
 
 
 rt a 
 
 <a o 
 
 ^B 
 
 oil 
 
 84 
 65 
 80 
 70 
 
 Radiators 
 installed 
 
 Leng-ths 
 of rad'or 
 installed 
 
 Riser 
 sizes 
 
 1 to 
 
 a) 
 
 
 M 
 
 to 
 
 4> 
 
 CO 
 
 o 
 
 a 
 
 to 
 
 to 
 
 p 
 
 to 
 
 C<1 
 
 D 
 
 42 
 54 
 
 60 
 24 
 
 o 
 
 VA 
 1% 
 
 a 
 i-i 
 
 ■u 
 
 VA 
 V4 
 VA 
 
 
 Sitting R 
 
 14000 
 10800 
 13250 
 11900 
 
 15-32-3 
 14-26-3 
 32-14-3 
 12-32-3 
 
 14-44-3 
 18-26-3 
 20-14-F 
 8 -45-4 
 
 34 
 32 
 
 72 
 26 
 
 IJ^ 
 
 Dining R 
 
 1J< 
 
 Study 
 
 IJ^ 
 
 Kitclien 
 
 1J4 
 
 Rec'p'n Hall . . . 
 
 14000 
 
 84 
 
 15-32-3 
 
 14-44-3 
 
 84 
 
 42 
 
 VA 
 
 IVi 
 
 VA 
 
 Chamber 1 
 
 9400 
 
 57 
 
 13-26-3 
 
 16-26-3 
 
 30 
 
 48 
 
 VA 
 
 VA 
 
 VA 
 
 Otiaraber 2 
 
 9850 
 
 60 
 
 13-26-3 
 
 16-26-3 
 
 30 
 
 48 
 
 VA 
 
 VA 
 
 IVa 
 
 Chambers 
 
 6600 
 
 40 
 
 10-26-3 
 
 12-26-3 
 
 23 
 
 86 
 
 1 
 
 1 
 
 1 
 
 Chamber 4 
 
 5600 
 
 35 
 
 10-26-3 
 
 12-26-3 
 
 23 
 
 36 
 
 1 
 
 1 
 
 1- 
 
 Bath 
 
 4400 
 
 26 
 
 601 
 
 6-26-3 
 
 7-26-8 
 
 14 
 
 21 
 
 1 
 
 1 
 
 1 
 
 J 
 
128 
 
 HEATING AND VENTILATION 
 
 17 — 6 
 
 i+e-'U* 
 
 ■-•'» ;* 
 
 »«i»;f-i 
 
 FOUNDATION PLAN. 
 Ceiling 6'. 
 
 Flgr. 65. 
 
HOT WATER AND STEAM HEATING 
 
 129 
 
 FIRST FLOOR PLAN. 
 Ceiling 10'. 
 
 Fig. 66. 
 
130 
 
 HEATING AND VENTILATION 
 
 ' i.\n.v-iA' /\ 
 
 SECOND FLOOR PLAN. 
 Ceiling 9'. 
 
 Fig. 67. 
 
HOT WATER AND STEAM HEATING 
 
 131 
 
 1226^ 7-26-3 
 
 ExpTonK. 
 
 I6-26-3 
 
 l4-'^A-3 
 
 16-26-3 
 MAIN AND RISER LAYOUT. 
 
 Fig. 67a. 
 
 88. Insulatlns Steam Pipes: — In all heating systems, 
 pipes carrying steam or water should be insulated to protect 
 from heat losses, unless these pipes are to serve as radiating 
 surfaces. In a large number of plants the heat lost through 
 these unprotected surfaces, if saved, would soon pay for first 
 class insulation. The heat transmitted to still air through 
 
132 HEATING AND VENTILATION 
 
 one square foot of the average wrought iron pipe is from 2 
 to 2.2 B. t. u. per hour, per degree difference of temperature 
 between the inside and the outside of the pipe. Assuming 
 the minimum value, and also that the pipe is fairly well 
 protected from air currents, the heat loss is, with steam at 
 100 pounds gage and 80 degrees temperature of the air, 
 (338 — 80) X 2 = 516 B. t. u. per hour. With steam at 50, 25 
 and 10 pounds gage respectively this will be 436, 374 and 320 
 B. t. u. If the pipe were located in moving air, this loss would 
 be much increased. It is safe to say that the average low pres- 
 sure steam pipe, when unprotected, will lose between 350 and 
 400 B. t. u. per square foot per hour. Taking the average of 
 these two values and applying it to a six inch pipe 100 feet 
 in length, for a period of 240 days at 20 hours a day, we have 
 a heat loss of 171 X 375 X 240 X 20 = 307800000 B. t. u. With 
 coal at 13000 B. t. u. per pound and a furnace efficiency of 60 
 per cent, this will be equivalent to 39461 pounds of coal, 
 which at $2.00 per ton will amount to $39.46. From tests 
 that have been run on the best grades of pipe insulation, it is 
 shown that 80 to 85 per cent, of this heat loss could be 
 saved. Taking the lower value we would have a financial 
 saving of $31.56 where the covering is used. Now if a good 
 grade of pipe covering, installed on the pipe, is worth $35.00, 
 the saving in one year's time would nearly pay for the 
 covering. 
 
 To l:e effective, insulation should be porous but should 
 be protected from air circulation. Small voids filled with 
 still air make the best insulating material. Hence, hair 
 felt, mineral wool, eiderdown and other loosely woven ma- 
 terials are very efficient. Some of these materials, however, 
 disintegrate after a time and fall to the bottom of the pipe, 
 leaving the upper part of the ripe comparatively free. Many 
 patented coverings have good insulating qualities as well as 
 permanency. Most patented coverings are one inch in thick- 
 ness and may or may not fit closely to the pipe. A good ar- 
 rangement is to select a covering one size larger than the 
 pipe and set this off from the pipe by spacer rings. This 
 air space between the pipe and the patented covering is a 
 good insulator itself. Table 45, Appendix, gives the 
 results of a series of experiments on pipe covering, obtained 
 at Cornell University under the direction of Professor Car- 
 penter. These values are probably as nearly standard as 
 may be had. (See Art. 138 for conduits.) 
 
HOT WATER AND STEAM HEATING 
 
 133 
 
 89. Water Hammer: — <When steam is admitted to a cold 
 pipe, or to a pipe that is full of water, it is suddenly con- 
 densed and causes a sharp craclcing noise. The concussion 
 produced by this condensation may become so severe as to 
 crack the fittings and open up the joints. The noise is due to 
 a sudden rush of water in an endeavor to fill the vacuum 
 produced by the condensed steam. Steam at atmospheric 
 pressure occupies 1644 times the volume of the water that 
 formed it, hence, by suddenly condensing- it, a very high 
 vacuum may be produced. This action causes a relatively 
 high velocity in any body of water adjacent to it. The 
 worst condition is found when a quantity of steam enters 
 a pipe filled with water. Condensation suddenly takes place 
 and the two bodies of water come together with high ve- 
 locity causing severe concussion. Steam should always be 
 admitted to a cold pipe, or to one filled with water, very 
 slowly. 
 
 90. Returning' tbe Water of Condensation, In a Lotv 
 Pressure Steam Heating System, to the Boiler; — In re- 
 
 Fig. 68. 
 
 Fig, 69, 
 
 turning the water of condensation to the boiler four methods 
 are in use; gravity, steam traps, steam loops and steam or 
 electric pumps. The gravity system is the simplest and is used 
 in all cases where the radiation is above the level of the 
 boiler and where the boiler pressure is used in the mains. 
 In a gravity return, no special valves or fittings are neces- 
 sary, but a free path with the least amount of friction in It 
 is provided between the radiators and a point on the boiler 
 below the water line. No traps of any kind should ^be 
 placed in this return circuit. 
 
 All radiation should be placed at least 18 inches above 
 the water line of the boiler to insure that the water will 
 not back up in the return line and flood the lower radiators. 
 
134 HEATING AND VENTILATION 
 
 This flooding- is usually the result of a restricted steam main. 
 When the radiation is below the water line, or wiiere tlie 
 pressure in the mains is less than that in the boiler, some 
 form of steam-trap or motor pump must be put in with special 
 provision for returning this water to the boiler. Two kinds 
 of traps may be had, low pressure and high pressure. The 
 first is well represented by the bucket trap, Fig. 68, and the 
 second, by the Bundy trap. Fig. 69. The action of these traps 
 is as follows. Bucket trap. — Water enters at D and collects 
 around the bucket, which is buoyed up against the valve. 
 The water collects and overflows the bucket until the com- 
 bined weight of the water and bucket overbalances the 
 buoyancy of the water. The bucket then drops and the 
 steam pressure upon the Inside, acting upon the surface of 
 the water, forces it out through the valve and central stem" 
 to the outlet B. When a certain amount of this water has 
 been ejected, the bucket again rises and closes the valve. 
 This action is continuous. Bundy trap. — Water enters at D 
 through the central stem and collects in the bowl A, which 
 is held in its upper position by a balanced weight. When 
 the water collects in the bowl suflficiently to lift the weight, 
 the bowl drops, the valve E opens, and steam is admitted 
 to the bowl, thus forcing the water out through the curved 
 pipe and the valve E. This action is continuous. 
 
 Each trap is capable of lifting the water approximately 
 2.4 feet for each pound of differential pressure. Thus, for a 
 pressure of 5 pounds gage within the boiler and 2 pounds 
 gage on the return, the water may be lifted 7 feet above 
 the trap, or say, to the top of an ordinary boiler. This is not 
 sufficient, however, to admit the water into the boiler 
 against the pressure of the steam. A receiver should be 
 placed here to catch the water from the separating trap 
 and deliver it to a second trap above the boiler which. In 
 turn, feeds the boiler. Live steam is piped from the boiler 
 to each trap, but the steam supply to the lower trap is 
 throttled, to give only enough pressure to lift the water 
 into the receiver. A system connected up in this way is 
 shown in Fig 70. Traps which receive the water of con- 
 densation for the purpose of feeding the boiler are called 
 return traps and sometimes work under a higher pressure 
 of steam than the separating traps. Many different kinds 
 of traps are in general use but these will illustrate the 
 principle of returning the condensation to the boiler. 
 
HOT WATER AND STEAM HEATING- 
 
 135 
 
 VtNTPiPE TO ASH FIT 
 
 Fig-. 70. 
 
 A very simple arrange- 
 ment, and yet a very difficult 
 one to operate satisfactorily, 
 is by the use of the steam loop. 
 Fig. 71. The water of con- 
 densation from the radiators 
 drains to the receiver A, 
 which is in direct communi- 
 cation with the riser B. The 
 drop leg D, being in com- 
 munication with the boiler 
 through a' check valve which 
 opens toward the boiler at 
 the lowest point, is filled 
 with water to the point X, 
 .sufficiently high above the 
 water line of the boiler that 
 the static head balances the differential pressure between the 
 steam in the boiler and that in the condenser. The horizon- 
 tal run of pipe C serves as a condenser and, in producing a 
 partial vacuum, lifts the water from the receiver. This 
 water is not lifted as a solid body, but as s-'ugs of water 
 interspersed with quantities of steam and vapor The water 
 in A is at or near the boiling point and the reduced pressure 
 in B reevapOrates a portion of it which, in rising a? a 
 vapor, assists in carrying the rest of the water over the 
 goose-neck. When the condensation in D rises above the 
 point X, the static pressure overbalances the differential 
 steam pressure, and water is fed to the boiler through the 
 check. 
 
 To find the location of the point X, above the water line 
 in the boiler, the following will illustrate. Let the pres- 
 sures in the boiler, condenser and receiver be respectively 
 5, 2 and 4 pounds gage, then the differential pressure between 
 the boiler and condenser is 3 pounds per square inch. If the 
 weight of one cubic foot of water at 212 degrees is 59.76 
 pounds, then the pressure is .42 pounds per square inch for 
 each foot in height. Stated in other words, one pound dif- 
 ferential pressure will sustain 2.4 feet of water. With a 
 pressure difference of 3 pounds, this gives 3 -r- .42 = 7.2 
 feet from the water level in the boiler to the point X, not 
 taking into account the friction of the piping and check 
 which would vary from 10 to 30 per cent. Assuming this 
 
136 
 
 HEATING AND VENTILATION 
 
 friction to be 20 per cent, we have 7.2 ^ .80 = 9 feet of head 
 to produce motion of the water. 
 
 The length of the riser pipe B and its diameter, depend 
 upon the differential pressure between the condenser and 
 the receiver, and upon the rapidity of condensation In the 
 horizontal. 
 
 With a differential pressure of 2 pounds this would sus- 
 pend 2 X 2.4 = 4.8 feet of solid water. The specific gravity, 
 however, of the mixture in this pipe Is much less than that 
 of solid water. For the sake of argument let this specific 
 gravity be 20 per cent, of that of solid water, then we would 
 
 Fig. 71. 
 have a possible lift, not including friction, of 5 X 4.8 = 24 
 feet. This is 24 — 9 = 15 feet below the water level in the 
 boiler. The diameter of the riser may vary for different 
 plants, but for any given plant the range of diameters Is 
 very limited. These, as has been stated, are usually found 
 by experiment. 
 
 A drain cock should be placed in the receiver at the 
 lowest point. When cold water has collected In the re- 
 ceiver It Is necessary to drain this water to the sewer before 
 the loop will work. An air valve should be placed at the top 
 of the goose-neck to draw off the air. If the horizontal pipe 
 Is filled with air, there will be no condensation and the loop 
 will refuse to work. Nover connect a steam loop to a boiler 
 
HOT WATER AND STEAM HEATING 
 
 137 
 
 in connection with a pump or any other boiler feeder. To 
 determine whether a loop is working or not, place the hand 
 on the horizontal pipe. If this is cold it is not working. 
 
 The last method mentioned for feeding condensation to 
 the boiler was by the use of a steam or electric pump. The 
 operation of the steam pump is fully discussed in Art. 92. 
 An electric motor-pump with its receiver and pipe connec- 
 tions is shown in Fig. 72. Its operation is very similar to 
 that of the steam pump. When the returning condensation 
 
 Fig. 72. 
 
 fills the receiver to a certain point a float regulator starts 
 the motor and pumps the water from the receiver to the 
 boiler. When the water level drops the operation is re- 
 versed and the pump is automatically stopped. The motor 
 pump is used especially on low pressure heating systems 
 where the water of condensation from the coils and radia- 
 tors drains below the boiler. If the boiler pressure were 
 high then the ordinary steam pump would be used. Where 
 the pressure wtthin the boiler, however, is near that in the 
 return main the operation of such a piece of apparatus is 
 less expensive than that of the steam pump. 
 
 91. Sugr^estions for Operating Hot W^ater Heaters and 
 Steam Boilers: — Before firing up in the morning, examine 
 the pressure gage to see if the system is full of water. If 
 there be any doubt, inspect the water level in the expan- 
 sion tank. If it is a steam system, examine the gage glass 
 and try the cocks to see if there is sufficient water in the 
 boiler. 
 
138 HEATING AND VENTILATION 
 
 See that all valves on the water lines are open. On the 
 steam system try the safety valve to make sure that it Is 
 free. Also see If the pressure ga.ge stands at zero. 
 
 Clean the fire and sprinkle over it a small amount of 
 fresh coal. 
 
 Open up the drafts and when the fire Is burning well 
 fill up with coal. 
 
 In starting a fire under a cold boiler it should not be 
 forced, but should warm up gradually. 
 
 Hard coal may be thrown evenly over the fire. Soft coal 
 should be banked in front on the grate, until the gases are 
 driven off. It is then distributed back over the fire. 
 
 The thickness of the fire will vary from four inches to 
 one foot depending upon the draft and the kind of coal. 
 
 Clean the fire when it has burned low, partially closing 
 the drafts while cleaning. 
 
 In a boiler or heater, using the water over continuously, 
 there will be little need of cleaning out the inside. In a 
 system using fresh water continuously, however, the boiler 
 should be blown off and cleaned about once or twice a month. 
 Never blow off a boiler while hot or under heavy pressure. 
 
 In every system the heater or boiler should be thoroughly 
 overhauled and cleaned before firing up in the fall. 
 
 Keep the ash pit clean and protect the grates from burn- 
 ing out. 
 
 Keep the tubes and gas passages clean and free from soot. 
 
 Inspect the pressure gage, glass gage, water cocks and 
 thermometers frequently. 
 
 In case of low water in a steam system, cover the fire 
 with wet ashes or coal and close all the drafts. Do not 
 open the safety valve. Do not feed water to the boiler. Do 
 not draw the fire. Keep the conditions such as to avoid any 
 sudden shock. After the steam pressure has dropped, draw 
 the fire. 
 
 Excessive pressure may be caused by the sticking of the 
 safety valve in the steam system, or by the stoppage of the 
 water line to the expansion tank in the hot water system. 
 The safety valve should never be allowed to lime up, and the 
 expansion tank should always be open to the heater and to 
 the overflow. 
 
 When leaving the fires for the night, push them to the 
 rear of the grate and bank them as stated In Art. 59. 
 
HOT WATER AND STEAM HEATING 139 
 
 References on Hot Water and Steam. 
 
 Technical Books. 
 
 Snow, Principles of Heat., Chap. IX, X. I. C. S., Prin. of Heat, 
 and Vent, p. 1185, 1091. Monroe, Steam Heat. & Tent., p. 13. 
 Lawler, Hot Water Heating, p. 19. Carpenter, Heat. & Vent. Bldga., 
 pp. 150, 231. Thompson, House Heat, by Steam & Water, p. 15. 
 Hubbard, Power, Heat. & Vent., pages 433, 464, 484, 505, 510. 
 
 Technical Periodicals. 
 
 Engineering News. Suggestions for Exh'st Steam Heat, 
 Apr. 7, 1904, p. 332, An Improved Steam Heat. System, Ther- 
 mograde System, July 23, 1903, p. 80. Factory System of the 
 United Shoe Machinery Co., Y/. C. Snow, May 25, 1905, p. 537. 
 Heating a Trolley Car Barn, J. I. Brewer, April 29, 1909, p. 
 462. Engineering Review. Heat. & Vent, of the New Parental 
 Home and School at Flushing, L. I., Jan. 1910, p. 48. A Hot 
 Water System with Radiators and Boiler on the Same Level, 
 J. P. Lisk, Aug. 1908, p. 34. A Hot Water Heat. System for 
 a City Residence, J. P. Lisk, June 1909, p. 44. Hot Water 
 Heat. Apparatus in Plymouth Church, Brooklyn, N. Y., Dec. 
 
 1908, p. 19. Heat., Vent, and Temperature Regulation in the 
 Measles Pavilion of the Kingston Ave. Hospital, Brooklyn, 
 N. Y., Jan. 1910, p. 35. Heat, and Vent. Plant of the Boston 
 Safe Deposit and Trust Company's Building, C. L. Hubbard, 
 April 1910, p. 37. Heat, and Vent. Installation in the Burnet 
 St. School, Newark, N. J., Jan. 1909, p. 20. A Unique Low 
 Pressure Steam Heat. Apparatus, Feb. 1909, p. 38. Practical 
 Points on Steam Heating (Direct Heating), C. L. Hubbard, 
 Aug. 1908, p. 29. (Indirect Heat.), Sept. 1908, p. 19. (Exhaust 
 Steam Heat.), Nov. 1908, p. 21. Steam Heating Systems, 
 Wm. J. Baldwin, March 1905, p. 7. Machinery. Shop Heating 
 by Direct Radiation, C. L. Hubbard, July 1910, p. 884. Sizes 
 of Pipe Mains for Hot Water Heating, C. L. Hubbard, Sept. 
 
 1909, p. 38. The Railway Review. Heating System of the Scran- 
 ton St. Railway Shops, June 13, 1908, p. 480. Heating of 
 Passenger Trains, May 23, 1908, p. 408. The Pennsylvania 
 R. R. System of Heat, and Vent. Passenger Cars, Feb. 22, 1908, 
 p. 157. Vent, and Heating of Coaches and Sleeping Cars, 
 July 18, 1908, p. 586. Hot Water Heating Arrangements for 
 Passenger Stations, Oct. 10, 1908, p. 829. Typical Heating 
 Plants, Horace L. Wiinslow Co., June 18, 1910, p. 596. The 
 Heating & Ventilating Magazine. Residence Heating by Direct 
 and Indirect Hot Water, July 1905, p. 25. Carrying Capac- 
 ities of Pipes in Low Pressure Steam Heating, Wm. Kent, 
 Feb. 1907, p. 7. Standard Sizes of Steam Pipes, Jas. A. Don- 
 nelly, Jan. 1907, p. 21. Formula for Pipe Sizes in Hot Water 
 Heating, Oliver H. Schlemmer, Sept. 1907, p. 9. Coefficient 
 of Transmission in Cast Iron Radiation, John R. Allen, Aug. 
 1908, p. 20. Relative Capacities of Pipes, John Jaeger, May 
 1907, p. 1. Methods of Figuring Radiation. Gerard W. Stan- 
 ton, Dec. 1907. p. 1. Computation of Radiating Surface, J. 
 Byers Holibrook, Nov. 1904. p. 77. Coefficients of Heat Trans- 
 mission, John R. Allen, July 1911. Domestic Engineering. A 
 Practical Manual of Steam and Hot Water Heating, JE. R. 
 Pierce, (Series of Articles), Vol. 51, No. 2, April 9, 1910; Vol. 
 53, No. 9, Nov. 26. 1910. Proportions and Power of Low 
 Pressure Heating Boilers, Vol. 47, No. 11, June 12, 1909, p. 
 319. How to InstaJll and Cover a Steam or Hot Water Main, 
 "Phoenix," Vol. 46, No. 10, March 6, 1909, p. 278. How to 
 
140 HEATING AND VENTILATION 
 
 Secure Correct Pipe Sizes for Low Pressure Steam Heating, 
 E. K. Monroe, Vol. 45, No. 9, Nov. 28, 1908, p. 243. Rules for 
 Proportioning- Indirect Heating Plants, R. T. Crane, Vol, 49, 
 No. 6, Nov. 6, 1909, p. 143. Tratts. A. S. H. d V. E. Circulation 
 of Hot Water, J. S. Brennan, Vol. XI, p. 93. Residence Heat- 
 ing" by Direct and Indirect Hot Water, E. F. Capron, Vol. 
 XI, p. 174. Standard Sizes of Steam Mains, J. A. Donnelly, 
 Vol. XIII, p. 43. The Carrying Capacity of Pipes in Low 
 Pressure Steam Heating-. Wm. Kent, Vol. XIII, p. 54. Heat- 
 ing and Ventilating- a Group of Public Schools, S. R. Lewis, 
 Vol. XIII, p. 187. The Combined Pressure and Vacuum Sys- 
 tems of Steam Heating-. G. Hoffman, Vol. XIII, p. 223. Sizes 
 of Return Pipes in Steam Heating Apparatus, J. A. Donnelly, 
 Vol. XII, p. 109. Proportioning Hot Water Radiation In 
 Combination Systems of Hot Water and Hot Air Heating, 
 R. C. Carpenter, Vol. VII, p. 132. Tests of Radiators with 
 Superheated Steam, R. C. Carpenter, Vol. VII, p. 206. Rela- 
 tive Economy of Steam, Vapor, Vacuum and Hot Water 
 Heating for Residences, Vol. XII, p. 341. The Relation be- 
 tween the Completeness of Air Removal and the EfTiciency 
 of Steam Radiators, Vol. XII, p. 315. Measurements of Wall, 
 Radiators, Vol. XII, p. 361. Advantages of Standard Dimen-" 
 sions of Radiator Valves and Connections, Vol. XIII, p. 145. 
 The Relative Healthfulness of Direct and Indirect Heat- 
 ing Systems, Vol. XIII, p. 136. Improving the Heating 
 Capacity of a Radiator by an Electric Fan, Vol. VIII, p. 222. 
 Engineering Record. Mechanical Plant of the Harvard 
 Medical School, No. 2, Aug, 7, 1909. Mechanical Equipment 
 of the Hotel LaSalle, Chicago, Sept. 11. 1909. Mechanical 
 Plant of the Washington Municipal Bldg., Oct. 30, 1909. 
 Heating and Ventilation of the Museum of Fine Arts, Bos- 
 ton, Nov. 13, 1909. Heating Plant for a Railway Storehouse, 
 Dec. 18, 1909. Heating and Ventilation of the Hotel Plaza, 
 N. Y,, Mar. 13 and Mar. 20, 1909. Central Heating and 
 Lighting Plant for the United States Military Academy, May 
 1, May 8 and May 15, 1900. Electric Railway Journal. Heating 
 System In Car House of Toronto & York Radial Rail- 
 way, March 26, 1910, p. 543. The Elevated Shops and Ter- 
 minals of the Brooklyn Rapid Transit Co, — Organization and 
 General Layout at East New York, Feb, 2, 1907, p, 170. The 
 Elevated Shops and Terminals of the Brookilyn Rapid Tran- 
 sit Co, — The Thirty-sixth St, Inspection Plant, March 9. 1907, 
 p. 406. The Metal Worker. Unstable Water Lines In Steam 
 Boilers. March 26. 1910. p. 429. Air Venting Hot Water Sys- 
 tems, June 4, 1910, p. 755, Heating Swimming Pool. June 25, 
 1910, p, 854. Air Venting Steam Systems, July 9. 1910, p. 30 
 Heating- and Ventilating Six Room School Building-, Oct. 23 
 1909, p, 45. Steam Heating In a Cottage, July 11, 1908, p. 
 45. Indirect Hot Water Heating in Residence. Oct. 24, 1908, 
 p. 43. Hot Water Heating In a Factory In Hoboken. N. J., 
 April 4, 1908, p. 39. Poirrr. Economics of Hot Water Heating, 
 Ira N. Evans, Sept. 12, 1911. Hot Water Heating for Institu- 
 tions. Ira N. Evans, May 14, 1912. Forced Circulation In Hot 
 Walter Heating, Clmrles L. Hubbard, Dec. 20, 1912; Nov. 15, 
 1912. 
 
CHAPTER IX. 
 
 MECHANICAL VACUU3I, STEAM HEATING SYSTEMS. 
 
 92. In Addition to the Brief Discussion of vacuum steam 
 heating as found in Art. 69, it will be well to discuss 
 more in detail the various systems by which this heating is 
 accomplished. The advantages to be derived by the positive 
 withdrawal of the air and the condensation from the radi- 
 ators and pipes, compared to the natural circulation of the 
 gravity system, are now too well established to need much 
 discussion. Mains and returns that are too small, horizontal 
 runs of piping that are unevenly laid so as to form air and 
 water pockets, radiators that are only partially heated be- 
 cause of the entrapped air, leaking air and radiator valves, 
 radiators partially filled with condensation and all the accom- 
 panying cracking and pounding throughout many of 
 the gravity systems, are sufficient causes to de- 
 mand a cure, if such cure can be found. One should not 
 understand by this statement that every mechanical vacuum 
 system is a cure for all the ills in the heating w^ork, for even 
 these systems may be improperly designed. The steam pipes 
 may be too small to supply the radiators, although smaller 
 pipes may be used in this than in the gravity work, the 
 valves may be defective, or the vacuum specialties may be 
 inefficient. Most of the defects in the average plant, however, 
 are because of imperfections in that "part of the system 
 from the radiator to the boiler, and all of the first class 
 vacuum systems are planned to meet just these conditions. 
 
 Vacuum systems have other advantages over the gravity 
 work, the principal one being that of lifting the return con- 
 densation to a higher level. This is noticeable in the plac- 
 ing of radiators or coils in basement rooms. Another very 
 important advantage is in the laying out of the heating coils 
 for shop buildings and manufacturing plants. Low pres- 
 sure gravity coils are limited to a length of about 75 feet. 
 Usually the condensation .in a long coil of this kind is very 
 great and requires extra heavy pressure on the steam end 
 to circulate it. The steam follows the line of least resistance 
 
142 
 
 HEATING AND VENTILATION 
 
 and forces the air out of certain pipes and permits It to re- 
 main in others, the differential pressure not being great 
 enough to eliminate all the air and heat the pipes uniformly. 
 As a result of these conditions some of the pipes remain 
 cold and ineffective as prime radiating surface. A vacuum 
 system, with its positive circulation, increases the differ- 
 ential pressure, removes the air and gives uniform heating 
 effect in coils that are several times as long as can be 
 safely supplied by the gravity system. The accumulation of 
 air in the radiators and coils is especially noticeable in 
 systems using exhaust steam. 
 
 When exhaust steam from engines or turbines is used 
 in a gravity heating system, the back pressure is carried 
 from atmospheric pressure to 10 pounds gage. With the ap-. 
 plication of the vacuum system it is possible to maintain 
 this constantly at about atmospheric pressure. It is 
 claimed by some, that it is possible to reduce the pressure 
 in the radiators to such a degree that the pressure in the 
 supply mains vi^ill fall considerably below atmosphere. No 
 doubt the specialty valves may be set so as to do this, but 
 it would scarcely be considered an economical arrangement. 
 
 
 BACK PRESSURE 
 VALVE 
 
 V^CR 
 
 Wfit 
 
 • — i |C0K)ErfiCR| 
 
 Z(fN. PUMPCD=^^ 
 
 Fig. 73. 
 
MECHANICAL VACUUM HEATING 143 
 
 The principal features of a mechanical vacuum system 
 are shown in Fig". 73. Live steam is conducted to the engine 
 and to the heating main, the latter through a pressure re- 
 ducing valve to be used only when exhaust steam is insuf- 
 ficient. The exhaust steam from the engines and pumps 
 is conducted to the heating' main and to the feed water 
 heater. The exhaust steam line opens to the atmosphere 
 through a back pressure valve which is set at the desired 
 pressure for the supply steam. An oil separator shown on 
 the exhaust steam line removes the oil and delivers it to an 
 oil trap. At the entrance to the feed water heater, the 
 exhaust steam passes through a series of baffle plates which 
 remove the oil and entrained water from that part of the 
 steam which enters the heater. A boiler feed pump and a 
 vacuum pump, with the attending valves and g'overning ap- 
 pliances, complete the power room equipment. The steam 
 supply to the heating system is piped to radiators and coils 
 in the ordinary way, w^ith or without temperature control. 
 A thermostatic valve, or patented motor valve, is placed at 
 the return end of each radiator and coil and these returns 
 are then brought together in a common return which leads 
 to a vacuum pump or ejector. The return pipe and specialty 
 valve for any one unit is usually i/^ inch. The combined re- 
 turn increases in size as more radiation is taken on. Hori- 
 zontal steam mains usually terminate in a drop leg w'hiclh is 
 tapped to the return 8 to 15 inches above the bottom of the 
 leg. Each rise in the system has a drop leg at the lower 
 end of the rise. These points and all -other points where 
 condensation may collect are drained through specialty 
 valves to the return. "Water supply systems may be tapped 
 for steam and return condensation the same as any ordi- 
 nary radiator. Steam is carried in the main at about at- 
 mospheric pressure, and just enough vacuum is maintained 
 on the return to insure positive and noiseless circulation. 
 In many cases where special lifts are required, these return 
 systems are run under a negative pressure of 6 to 10 inches 
 of mercury. Under such conditions water may be lifted 
 fro(m! 6 to 10 feet. Either clo^sed or opened feed water 
 heaters may be used w^ith the layout as given. (For com- 
 parative sizes of gravity and vacuum returns see Table 38, 
 Appendix.) 
 
 Fig. 74 shows a section through the Marsh vacuum pump 
 which represents a type very generally used dn this work. 
 
144 
 
 HEATING AND VENTILATION 
 
 Fig. 74. 
 
 It will be noticed that this pump has a steam operated valve. 
 The automatic governing feature of this valve tends . to 
 
 equalize the cylinder 
 fi pressure to meet the 
 
 varying resistance in 
 the main return of the 
 heating system. Such 
 a pump is handling al- 
 ternately solid water 
 and vapors, hence 
 there is great tenden- 
 cy of the ordinary 
 pump to race and 
 pound at such times. 
 In its operation the 
 steam enters at A and 
 passes into the space 
 B through the annu- 
 lar opening C be- 
 tween the reduced 
 neck of the valve and 
 the bore of the first chest wall. It is thus projected against 
 the inside surface of the valve head before entering into 
 the port and passing to the cylinder. On reaching the 
 cylinder and driving the piston to the right, the reaction of 
 the steam through port D to the opposite side of the valve 
 head, tends to further open the steam port C. The valve 
 then holds a position depending upon the relative strength 
 of the forces which tend to move it in opposite directions, 
 i. e., admission steam which tends to close the valve, and the 
 cylinder steam which tends to open the valve. This is 
 the governing feature. It will be noticed that the pump 
 piston is in two parts and carries steam at admission pres- 
 sure upon the inside. This steam is admitted along the 
 dotted line to the center of the cylinder head, thence through 
 a sm>all tube and packing box to the liollow piston rod, 
 w>hich has a direct connection with the center of the piston. 
 When the piston has moved suffi'ciently to bring the central 
 space E in line with the duct D, steam is admitted to the 
 right of the piston valve thus forcing it back, cutting off 
 the steam at C, opening up the exhaust to the atmosphere 
 through F and -admitting steam to the other end of the 
 cylinder. The action Is thus reversed and continuous. Ejec- 
 
MECHANICAL VACUUM HEATING 
 
 145 
 
 tors operated by steam, water and electricity are also used 
 to produce a vacuum. No comparison is made here of t'he 
 various systems of producing vacuum since each gives satis- 
 faction when properly installed. In each case there is a 
 loss of energy but this loss is amply repaid in the added 
 benefits. 
 
 Several patented systems of mechanical vacuum heating 
 are now upon the market. These are in large measure an 
 outgrowth of the original Williames System, patented in 
 1882. Each system is well represented by the above diagram 
 in all particulars concerning the steam and water circu- 
 lation. The chief difference between them is in the thermo- 
 static or motor connection at the entrance to each individual 
 return. 
 
 93. Webster System: — In this system a pump is used to 
 produce the vacuuinr. A special fitting, called a water-seal 
 motor, or thermostatic valve, is used on all radiators, coils and 
 drainage points. Fig. 75 shows a section of one of the motor 
 valves. Other models are constructed so as to have the out- 
 let in a horizontal direction, either parallel with or 90 de- 
 grees to the inlet. Fig. 76 shows an application of this to a 
 radiator or coil. The dirt strainer is usually placed between 
 the radiator or coil and the motor valve. This strainer 
 
 Fig. 75. 
 
 DIRT 5traine:r 
 
 CONNECT INTO 
 TOP OF RETURN 
 
 Fig. 76. 
 
 collects the dirt and protects from clogging the motor valve. 
 C attaches to the return end of the radiator or coil and L 
 leads to the vacuum pumip. O is the central tube, the lower 
 end of which is a valve. A is a hollow cylindrical copper 
 float, the central tube of which fits loosely over spind'le B. 
 
146 
 
 HEATING AND VENTILATION 
 
 The function of the cylinder A Is to raise the tube O from 
 the seat H and open the discharge to the pump. Ordinarily, 
 the float is down and the central tube valve is resting upon 
 the seat and cuts ofC communication with the radiator, ex- 
 cepting as air may be drawn from the radiator down the 
 central tube around the spiral plug. The water of conden- 
 sation accumulating in the radiator or coil passes into the 
 chamber E, sealing- the valve, and when sufficient water has 
 accumulated to lift the float, it opens a passageway for a 
 certain amount of the water to be withdrawn to the return. 
 "When this water becomes lowered sufficiently, the valve 
 again seats itself and the cycle is completed. This action 
 continues as long as water is present in the radiator. These 
 motor valves are made of three sizes, Vz inch, % inch and 1 
 inch. The first is the standard size and has a capacity of 
 approximately 200 feet of radiation. 
 
 Fig, 77 shows thermostatic valves. It will be seen that 
 the automatic feature in a is the compound rubber stalk, 
 which expands and contracts under heat and cold. The 
 
 Fig. 77. 
 
 adjusting screw at the top permits the valve to be set for 
 any conditions of temperature and pressure within the radi- 
 ator. The water of condensation passes through a screen 
 and comes in contact with the rubber stalk. The tempera- 
 ture of the water being less than that of steam the stalk 
 contracts and the water is drawn through the opening A by 
 the action of the pump. As soon as the water has been re- 
 
MECHANICAL VACUUM HEATING 
 
 147 
 
 moved, steam flows around the stalk and expands until it 
 closes the seat. This process is a continuous one and auto- 
 matically removes the water from the radiator. The screen 
 serves the purpose of the dirt strainer as mentioned above. 
 Fig. 77, 6, shows a sylphon arrangement where the movement 
 of the valve is obtained by the expansion and contraction of 
 the fluid inside* the bellows. -^ 
 
 A suction strainer, which is very similar to the dirt strain- 
 er only larger in capacity, is placed upon the return line 
 next the pump. This fitting usually has a cold water con- 
 nection to be used at times to assist in producing a more 
 perfect vacuum. The piping system for the automatic con- 
 trol of the vacuum] pump is shown in Fig. 78. It will be 
 
 seen that the vacuum in the re- 
 turn operates through the gover- 
 nor to regulate the steam supply 
 to the pump cylinder, thus con- 
 trolling the speed of the pump. 
 Occasionally it is desirable to 
 have certain parts of the heating 
 system under a different vacuum. 
 An Illustration of this would be 
 where the radiators within the 
 building were run under a neg- 
 ative pressure of about one 
 pound, and a set of heating coils 
 in the basement were to be carried under a negative pressure 
 
 of four pounds. The Web- 
 ster System, type D, Fig. 
 79, imeets this condition. 
 The exact difference be- 
 tween the suction pressure 
 and the pressure in the 
 radiators can be varied to 
 suit any condition by the 
 controller valve. A trap 
 and a controller valve 
 should be applied to each 
 line having a different 
 
 VACUUM PUMP' 
 
 Fig. 78. 
 
 HIGH \ACUUM 
 Lt=3 
 
 > Fig. 79. 
 
 pressure from that in the suction line. 
 
 A modulation valve, foY graduating the steam supply to the 
 radiator, has been designed by this Company and may 
 be applied to any Weibster Heating System to assist in its 
 
148 
 
 HEATING AND VENTILATION 
 
 regulation. This modulation valve serves to graduate the 
 steam supply to the radiators so that the pressure may be 
 maintained at any point to suit the required heat loss from 
 the building. 
 
 94. Van Auken System: — In this system, as in the pre- 
 vious one, the vacuum in the return main is produced by a 
 vacuum pump wlhich is controlled by a specially designed 
 governor. The automatic valves which are placed on the 
 radiators, coils and other drainage points along the system, 
 are called Belvac Thennofiers, and are shown in section by 
 Fig. 80. This valve is automatic and removes the water of 
 
 condensation by the controlling ac- 
 tion of a float. It is connected to the 
 radiator or coil at fi^ and to the vacu- 
 um return pipe at L. The water of 
 condensation is drawn through the 
 .f^ return pipe into chamber D until it 
 reaches the inverted weir E which 
 gives it a water seal. It 1^ thence 
 drawn upward into space D until it 
 overflows into the float chamber AA, 
 where it accumulates until the line 
 of flotation is reached. When the 
 float C lifts, the valve seat at B 
 opens and allows the water to es- 
 cape into the vacuum return pipe. 
 After the removal of the water the float again settles on seat 
 B until sufficient water accumulates in the float chamber to 
 again lift it, when the cycle is repeated. 
 
 The air contained in the radiators or coils is drawn 
 through the return and up through chamber D into the top 
 of the float chamber. Here its direction follows arrows OO, 
 being drawn through the small opening in the guide-pin at 
 F, down through the hollow body of the copper float and 
 valve seat B, into the vacuum return. This removal of air la 
 continuous regardless of the amount of water present. The 
 by-pass /, when open, allows all dirt, coarse sand or scale 
 to pass directly into the vacuum return, thus cleaning the 
 valve. By opening the by-pass I only part way, the con- 
 tents of chamber A may be emptied into the vacuum return 
 without interfering with the conditions in space D. The 
 ends of the float are symmetrical, hence it will work either 
 w^y. The thermoflers are made In four standard sizes of 
 
 Fig. 80. 
 
MECHANICAL VACUUM HEATING 
 
 149 
 
 outlets, two having- V2 incli and two having % inch outlets. 
 These valves have capacities of 125, 300, 550 and 1200 square 
 feet of radiation respectively. 
 
 Drop legs, strainers, governors and other specialties 
 usually provided by such companies are supplied in addition 
 to the thermofiers. When a differential vacuum is to be ob- 
 tained a special arrangement of the piping system is planned 
 to cover this point. The piping- connections around the auto- 
 m.atic pump g-overnor are the same as are shown in Fig-. 78. 
 95. Automatic Vacuum System; — In this system the 
 automatic vacuum valve, which takes the .place of the motor 
 valve and thermofier in the two preceding systems, is shown 
 in Fig-. 81. K is the entrance to the radiator and L to the 
 
 vacuum return. Screen F 
 prevents scale and dirt 
 from entering- the valve. 
 By-pass E is for emerg- 
 ency use in draining ofC 
 accumulated water and 
 dirt, should the valve 
 clog-. With such an ad- 
 justment the bonnet of 
 the valve inay be re- 
 moved for inspection 
 without overflowing-. Be- 
 fore the steam is turned 
 on in the radiator the float is tipped, as shown in the figure, 
 making a small wedge shaped opening- through which the 
 vacuum can pull on the radiator. When steam is admitted 
 to the radiator, condensation flows into the valve, lifting 
 the float and sealing the outlet against the passage of 
 steaimi As the valve continues to fill with water the float 
 
 is lifted, and water passes 
 to the vacuum return. As 
 the water is drawn ofC the 
 float falls and reseats on 
 the nipple when about V2 
 inch of water remains in 
 the valve, thus maintaining 
 the water seal. Fig. 82 
 shows the piping connec- 
 tions around 'the automatic 
 pump governor. It will be 
 Fig. 82. seen that this connection 
 
 
150 HEATING AND VENTILATION 
 
 differs from those of the Webster and VanAuken Systems, 
 in that the pressure in the return main controls the flow 
 of injection water into the suction strainer. 
 
 96. Dunhnm System: — The special valve used upon the 
 returns from radiators, coils and drainage points in the 
 Dunham System is shown in Fig. 83. The chamber between 
 the two corrugated disks AA is filled with a liquid which 
 vaporizes at low temperatures. The adjustment is so made 
 that the tem^perature of the steam creates pressure enough 
 between the disks to close the valve and cut off drainage 
 
 to the vacuum pump. "When 
 water collects under the disks 
 the temperatui*e of the water 
 | rad is sufl[iciently cooled below 
 that of the steam to condense 
 some of the liquid, reduce the 
 
 socTiofsi pressure and open up the valve. 
 
 Fig. 83. . . , 
 
 The action is therefore auto- 
 matic and controlled entirely by the temperature of the 
 water or steam in contact with the disks. In other re- 
 spects this system is very similar to those previously de- 
 scribed. 
 
 97. Paul System: — Referring to Art. 69 it will be seen 
 that the Paul System is essentially a one-pipe system, with 
 the vacuum principle attached to the air valve. Its use is 
 not restricted to the one-pipe radiator, since it may be ap- 
 plied to the two-pipe radiator as well. The advantage to 
 be gained, however, when applied to the former, is much 
 greater than in the latter because of the greater possibility 
 of air clogg'ing the one-pipe radiator. This one fact has 
 largely determined its field of op'eration. This system dif- 
 fers from the ones just mentioned in two essential points; 
 first, the vacuum effect is applied at the air valve and the 
 water of condensation is not moved by this means; second, 
 the vacuum effect is produced by the aspirator principle 
 using water, steam or compressed air, as against the pumps 
 used by the other companies. The same principle may also 
 be applied to the tank receiving the condensation. By this 
 means it is possible to remove all the air in the system and 
 to produce a partial vacuum if necessary. Ordinarily the 
 vacuum is supposed to extend only as far as the air valve 
 S/t the radiator. If desired, however, this valve may be ad- 
 
MECHANICAL VACUUM HEATING 
 
 151 
 
 justed so that the vacuum effect may be felt within the radi- 
 ator, and in some cases may extend into the supply main. 
 Many modifications of the Paul System are being- used. In its 
 latest development, the layout of the system for large plants. 
 
 I AlP VALVE 
 
 AIR VALVE 
 
 STEAM IMLET 
 
 TO RECE IVER 
 OR RETURN 
 
 Fig. 84. 
 
 //////////////////Tm f. 
 
 TOArnoSPHERE 
 
 DRAIN 
 
 Is about the same as that shown in Fig. 73, where all of the 
 principal pieces of apparatus that go to make up the power 
 room equipment are present. Fig. 84 shows a typdcal vacu- 
 um connection between one-pipe and two-pipe radiators and 
 the exhauster. This diagram shows the discharge leading 
 to a tank, sewer or catch basin. If exhaust steam were 
 used, the discharge would probably lead into the steam 
 supply to one or more of the radiators and then into the 
 atmiosphere. Where electric current can be had this ex- 
 hausting may be done by the use of an electric motor. A 
 specially designed thermostatic air valve is supplied by the 
 Company to be used on this system. 
 
 Other vacuum systems, each having a full line of specialty 
 appliances, might be mentioned here but the above are con- 
 sidered sufficient. 
 
152 
 
 HEATING AND VENTILATION 
 
 REFERENCES. 
 RefereneeN on MeehanionI Vneuum Heating. 
 
 Technical Books. 
 
 Snow, Priuri]th's of Heating, Chap. XL. Carpenter, Ilcatinrj d 
 Tentilatinfi liuiUUngs, p. 285. Hubbard, Power, Ueatinij & Yentiln- 
 tion, p. 568. 
 
 Technical Periodicals. 
 
 Engineering Review. Steam Heating Installation In the 
 Biology and Geology Building and the Vivarium Building, 
 Princeton University (Webster System), Jan. 1910, p. 27. 
 Steam Heating and Ventilating Plant Required for Addition 
 to Hotel Astor (Paul System), March 1910, p. 27. Heating 
 Four Store Buildings at Salina, Kans., (Moline System, Vacu- 
 um Vapor), April 1910. p. 45. Steam Heating System for 
 Henry Doherty's Mill, Paterson, N. J., May 1910, p. 37. Heat- 
 ing Residences at Fairfield, Conn., (Bromell's System of 
 Vapor Heating), June 1910, p. 52. Heating Residence at 
 Flemington, N. J., (Vapor-Vacuum System), July 1910, p. 43. 
 Heating System Installed in the Haynes Office Building, 
 Boston, (Webster Modulation System), Aug. 1910, p. 44. 
 Heating the Silversmith's Building, New York, (Thermo- 
 grade System), Jan. 1908, p. 8. Heating System in the New 
 Factorv of Jenkins' Bros., Ltd., Montreal. Canada, (Positive 
 Differential System). Dec. 1907, p. 14. The Railway Review. 
 Vacuum Ventilation for Street Cars, Oct. 23, 1909, p. 948. 
 The Metal Worker. A Vapor Vacuum Heating System, April 4, 
 1910, p. 494. Heating Church by Vacuum System, Sept. 11, 
 1909. p. 46. Rehabilitation bv Vacuum Heating, Jan. 21, 1911. 
 Potter. Combined Vacuum and Gravity Return Heating Sys- 
 tem, Charles A. Fuller, Aug. 11. 1911. Vacuo Hot Water 
 Heating, Ira N. Evans, Mar. 12, 1912. Heat, d Vent. Magazine. 
 Vacuum Heating Practice, J. M. Robb, Jan. 1912. 
 
CHAPTER X. 
 
 MECHANICAL. WARM AIR HEATING AND 
 VENTILATION. FAN COIL SYSTEMS. 
 
 DESCRIPTION OF SYSTEMS AND APPARATUS EMPLOYED. 
 
 98. Fire-places, Stoves, Furnaces and Direct Radiation 
 Systems of both steam and hot water have, individually, 
 advantages and disadvantages, but, in common, all lack 
 what is increasingly being considered as of more import- 
 ance than heating, namely, positive ventilation. Merely to 
 heat a poorly ventilated apartment only serves to increase 
 the discomfort of the occupants, and modern legislative 
 bodies are reflecting the opinion of the times by the passage 
 of compulsory ventilation laws affecting buildings with 
 numerous occupants, such as factories, barracks, school 
 houses, hotels and auditoriums. To meet this demand for 
 the positive ventilation of such classes of buildings, there 
 has been developed what is variously known as the hot blast 
 heating system, plenum system, fan Mast system or mechanical warm 
 air system. 
 
 99. Elements of tlie Meclianical Warm Air System:^ 
 
 Known by whatever name, this system contemplates the 
 use of three distinctly vital elements; first, some form of 
 hot metallic surface over which the forced air may pass 
 and be heated; second, a blower or fan of some description 
 to propel the air; and third, a proper arrangement of ducta 
 or passageways to distribute this heated air to desired 
 locations. Figs. 96 and 97 show these essentials, fan, 
 heating coils and ducts in their relative positions with con- 
 nections as found in a typical plant of this system. Many 
 attachments and improved mechanisms may be had to-day 
 in connection with this system, such as air washers and 
 humidifiers, automatic damper control systems, and brine 
 cooling systems whereby the heating coils may be used 
 as cooling coils, and, during hot weather, be made to 
 maintain the temperature within the building from 10 de- 
 grees to 15 degrees lower than the atmosphere. None of 
 these auxiliaries, however, change in any way the necessity 
 
154 
 
 HEATING AND VENTILATION 
 
 for the three fundamentals named and their general ar- 
 rangement as shown. 
 
 100. Variations In the DcNii^n of Meflianloal Warm Air 
 Systems: — With regard to the position of the fan, two meth- 
 ods of installing the system are common. The first and 
 most used is that shown in Fig. 85, a, where the fan Is in 
 the basement of the building and forces the air by pressure 
 upward through the ducts and into the rooms. This causes 
 the air within the entire building to be at a pressure 
 
 •a. Plenum System. b. Exhaust System. 
 
 Fig. 85. 
 
 slightly higher than the atmosphere, and hence all leak- 
 ages will be outward through doors and window crevices. 
 A system so installed is usually called a plenum syf^icm. The 
 fan may, however, be of the exhausting type. Fig. 85, b, 
 and placed in the attic with which ducts from the rooms 
 connect, so that the fan tends to keep the air of the build- 
 ing at a slight vacuum as compared with the atmosphere, 
 thus inducing ventilation. Air is then supposed to enter 
 the basement inlet, pass over the coll surface, and, when 
 heated, pass to the various rooms through the ducts pro- 
 vided. But air from the atmo.<?phere will Just as readily 
 leak In at windows or other crevices, as come in over the 
 
PLENUM WARM AIR HEATING 
 
 155 
 
 heaters, and then the system will fail in its heating work. 
 For this reason the exhaust heating system, as it is usually 
 known, is seldom installed, except where aid in the prompt 
 removal of malodors is desired. Combined plenum and ex- 
 haust systems are to be recommended wherever the expense 
 can be justified. 
 
 101. Blowers and Fans: — Many methods of moving- air 
 for ventilating and heating purposes have been devised; 
 some positive at all times, others so dependent upon the ex- 
 istence of certain conditions as to be a constant source of 
 trouble. It is coming to be a very generally accepted fact, 
 that if air is to be delivered at definite times, in definite 
 quantities and in definite places, it must be forced there, and 
 not merely allowed to go under conditions readil-y changing 
 or disappearing. The recognition of this fact has led to a 
 very common use of the mechanical fan or blower for im- 
 pelling air, and this use has, in turn, caused the develop- 
 ment of fans and blowers to a fairly high degree oil 
 efficiency. 
 
 By the aid of mechanical apparatus, air may be moved 
 positively in either of two ways, by the exhaust method or 
 by the plenum method, each having fans developed best suited 
 to its needs. In the exhaust method the fan is commonly 
 of the disk av propeller blade type, shown in Figs. 86 and 
 
156 
 
 HEATING AND VENTILATION 
 
 S7, ana moves the air by suction. It is usually Installed In 
 the attic or near the top of the building, although with a 
 system of return ducts it may be installed in the basement. 
 The plenum system uses a fan of the paddle wheel or mul- 
 tiple blade type, shown in Figs. 88 and 89; the first is the 
 standard form of fan wheel in common use, and the second 
 is a more recent development of the same, called the "tur- 
 bine" fan wheel, shown direct connected to a De Laval 
 steam turbine. The wheels of the fans are also shown. 
 
 Fig. 87. 
 
 Tests of the latter wheel seem to show a somewhat higher 
 efficiency than has heretofore been possible witli the older 
 forms. Both of these forms of fans are used in plenum 
 work, and are placed on the forcing side of the circulating 
 system just between the air intake and the heater coils, 
 or just following the heater coils, and hence produce a pres- 
 sure within the building or suite heated, so that leakages 
 are outward and not so detrimental to the good working 
 of the plant as in the exhaust system. 
 
 The motive power for fans may be of four kinds, 
 electric direct drive, steam engine or steam turbine direct 
 drive, and belt and pulley drive, as shown in Figs. 87, 88, 89 
 and 90. Which of these drives will be the most appropriate 
 win depend entirely upon local conditions and the nature 
 
PLENUM WARM AIR HEATING 
 
 157 
 
 of the available power supply. The steam engine or steam 
 turbine drive is perhaps the most common, since some 
 steam must be present for the supply of the heating coils, 
 and since, too, the exhaust of the engine or turbine may 
 be used to supplement the live steam used for heating. 
 See Art. 122. 
 
 Fig. 
 
 Fig. 89. 
 
 Fan housings are made in many different styles, and 
 of various materials, the more readily to fit any given set of 
 conditions. Materials employed may be of brick, wood, sheet 
 steel or combinations of these. Steel housings are the most 
 common and are made in such a variety of patterns as 
 will fit any requirement of plenum duct direction. What 
 are known as full housings are those in which the entire fan 
 wheel is encased with steel and the entire unit is self-con- 
 tained and above the floor line. Three-quarter housings are 
 those in which only the upper three-fourths of the fan wheel 
 Is encased, the completion of the air-sweep around the 
 
158 
 
 HEATING AND VENTILATION 
 
 paddles being obtained by properly forming the brick foun- 
 dation upon which the fan is installed. The larger fans 
 are commonly three-quarter housed, especially if they are 
 to deliver air directly into underground ducts. Fig. 88 
 shows a full housing and Fig. 90 a three-quarter housing. 
 
 Fig. 90. Fig. 91. 
 
 The circular opening in the housing around the shaft 
 of the wheel is the inlet of the fan, the air being thrown 
 by centrifugal force to the periphery and at the same time 
 given a circular motion, thus leaving the fan tangentially 
 through the discharge opening. Fans may be obtained which 
 will deliver at any angle around the circumference, and fans 
 may be obtained with two or more discharge openings, usu- 
 ally referred to as "multiple discharge fans," as shown in 
 Fig. 91. Some fans have double side inlets, 1. e., air enters 
 the fan from each side at the center. These openings are 
 smaller than the single side inlet. All fan casements should 
 be well riveted and braced wit)h angles and tee irons. The 
 shaft should be fitted with heavy pattern, adjustable, self- 
 oiling bearings, rigidly fastened to the casement and prop- 
 erly braced. The thickness of the steel used in the casement 
 varies according to the size of the fan, from No. 14 to No. 11 
 for sizes in general use. The fan wheel should be well con- 
 structed upon a heavy spider to protect against distortion 
 from sudden starting and stopping. The side clearance be- 
 tween the wheel and casement should be small. Fans should 
 be bolted to substantial foundations of brick or conert-tr. 
 When connecting them to metal ducts where any sound from 
 the mation of the fan may be transmitted to .the room®, the 
 connection should be made tlirough llexible rubber cloth 
 
PLENUM WARM AIR HEATING 
 
 159 
 
 102. Fresh Air Entrance to Building and to Rooms:— 
 
 The air may enter through the building wall at the ground 
 level or it may be taken from a stack built for the pur- 
 pose, providing a down draft with entrance for the air 
 at the top. This may be done in case no washing or clean- 
 ing systems are applied and in case the air is heavily 
 charged with dust or dirt from the street. Usually in 
 isolated plants or in small cities, the air is taken in near 
 the ground level from some area-way that is fairly free 
 from dust. In the larger cities, however, either a washing 
 sj'stem is installed to cleanse the air before it is sent 
 around to the rooms, or the air is taken from an elevation 
 somewhat above the ground as spoken of before. The ve- 
 locity of the air should be from 700 to 1000 feet per minute 
 at this point and where grill work or shutters of any sort 
 are put in the opening, they are usually so planned as not 
 to seriously obstruct the flow of the air. Usually a plain 
 flat wire screen is placed in the opening to keep out leaves, 
 and doors are swung from the inside in such a way as to be 
 thrown open, leaving practically the full value of the open- 
 ing as a net area. 
 
 Air entrance to rooms is accomplished through registers 
 or gratings which cover the ends of rectangular ducts or 
 conduits called stacks, built into the brick walls and open- 
 ing into the respective rooms much as shown in section by 
 Fig. 22. Register sizes considered standard are given in 
 Table 17, Appendix. The velocity of the air at a plenum 
 register may be somewhat higher than in a simple fur- 
 nace installation. In the plenum system the heat reg- 
 isters are usually placed well above the heads of the occu- 
 pants, near the ceiling, and the vent registers near the 
 floor. Velocities allowable at registers and up stacks are 
 shown in Table XIII, page 172. 
 
 103, Plenum Heating Surfaces: — 'Heating surfaces as 
 used to-day in connection wit'h plenum systems may be 
 divided into two classes: coil surface, made of loops of 1 or 
 l^/i inch wrought iron pipe and cast surface, made of hollow 
 rectangular castings -provided with numerous staggered pro- 
 jections to increase the outside surface and provide greater 
 air contact. To make a heater of either kind of surface, 
 successive units are placed side by side, until the requisite 
 total area and depth have been obtained. The total number 
 of square feet of cast or pipe coil surface exposed to the 
 
160 
 
 HEATING AND VENTILATION 
 
 air determines the total number of heat units given to the 
 air per hour, wlhile the depth of the heater controls the final 
 temperature of the air leaving the heater. Each of these 
 points must be considered in designing the heater system. 
 (See Arts. 118 and 119). 
 
 Pipe coils may be used 
 under high pressures 
 but cast coils should 
 never be used under 
 pressures exceeding 25 
 pounds per square inch 
 gage. All plenum heat- 
 ing surfaces should be 
 well vented and drained. 
 Ample allowance also 
 should be made for ex- 
 pansion and contraction. 
 Coil surface is of 
 three kinds, that hav- 
 ing the pipes inserted 
 vertically into a hori- 
 Fig. 92. zontal cast iron header 
 
 wthich forms the base of the section, Fig. 92, that having 
 the pipes horizontally between two vertical side headers, 
 Fig. 93, and that having one header vertical and one 
 header horizontal called the mitre coil. Fig. 94. The first 
 and last forms shown are made with two, three or four 
 
 pipes in depth. The stand- 
 ard number of pipes In any 
 one section is four. Some- 
 times these pipes are spaced 
 in straight lines parallel 
 with the wind and some- 
 times are staggered. Stag- 
 gered spacing no doubt 
 makes each pipe slightly 
 more efficient but it adds 
 friction to the air cur- 
 rent and power to the fan. Efficiency tests of both spac- 
 Ings, however, show little difference in these methods. The 
 horizontal sections and the mitre sections present this ad- 
 vantage over the vortical pipe sections, that the stoam and 
 condensation are always flowing In the same direction and 
 
 Fig. 93. 
 
^ 
 
 PLENUM WARM AIR HEATING 
 
 161 
 
 Fig. 95. 
 
 drainage is very simple. With 
 the vertical pipe section, 
 steam in one-half of the 
 pipes must pass upward 
 against the direction of the 
 flow of condensation or it must 
 carry the condensation with it. 
 That half of the header sup- 
 plying pipes which carry 
 steam upward is usually 
 drained for condensation by 
 a small hole directly into the 
 return with the result that 
 steam often blows through 
 the header without travers- 
 ing the pipe circuits. The 
 third, or mitre section, in ad- 
 dition to perfect drainage, has 
 perfect expansion. The ver- 
 tical header serves as a 
 steam supply and the horizon- 
 tal header as a drain, permit- 
 ting every pipe to assume any 
 position necessary to account 
 for a reasonable change of 
 length. 
 
 Cast iron radiating surface 
 for plenum systems is shown 
 in Fig. 95. It is composed, 
 primarily, of sections not un- 
 like the sections of an ordi- 
 nary direct radiator in the 
 way in which they are joined 
 together at the top and bot- 
 tom by nipples, thus forming 
 what is termed a stack. Stacks 
 are again assembled, one in 
 front of another, with respect 
 to the direction in which the 
 air passes through them, the 
 completed heater being then 
 more or less cubical in pro- 
 portion. The figure shows a 
 heater two sections in depth 
 
162 HEATING AND VENTILATION 
 
 and ten sections in width. Provided the conditions demand 
 It, the heater may be built two or even three stacks In 
 height, thus doubling- or tripling the gross wind area. See 
 Art. 119. 
 
 'Cast iron heaters are usually of the Tcnto type and are 
 m^de in two thicknesses, 6.75 and 9.125 inches in the direc- 
 tion of the air velocity. They are also made in three 
 heights, 40, 50 and 60 inches. These heaters present the fol- 
 lowing amounts of heating surface: 6.75 inch sections — 
 7.5, 9.5 and 11 square feet; 9.125 inch sections — 10.75, 13.5 
 and 16 square feet of surface for the 40, 50 and 60 inch 
 sections respectively. These sections give such a variety of 
 sizes as to permit combinations to fit almost any possible 
 requirement In net area, gross area and heating surface. 
 It is unusual to assemble less than five or more than twenty- 
 five sections to the stack. By the proper adjustment of 
 number of sections to the stack, and of stacks to the heater, 
 any requirement of hot blast work may be met. 
 
 No matter what kind or type of heaters may be selected, 
 certain methods of installing them have become common. 
 They may be placed on either the suction or the force side 
 of the fan, usually the former in drying or evaporating 
 plants, but more often the latter in heating plants. Because 
 of their weight, ample and firm foundations must be pro- 
 vided. In most installations for heating purposes, wliere 
 both tempered and heated air is supplied, the heater should 
 be raised on Its foundation 18 to 24 .inches to allow a 
 damper and passage way for tempered air. 
 
 104. Division of Coll Sur£aoe:^It is considered best 
 practice to install a hot blast heater in two parts, known 
 as the tempering coil and the heating coil. In the calculations. 
 Arts. 115-119, the total heating surfaoe is first obtained and 
 then this is split up into whatever arrangement is desired. 
 The tempering coils should be placed in the air p>assage 
 just within the intake for the building and should comtain 
 from one-fourth to one-third of the total heating surface. 
 In this way the air Is tempered before it reaches any other 
 apparatus, thus protecting from accumulation of frost on 
 fan and bearings and aiding in the process of lubrication. 
 The main heat cod is placed just beyond the fan on Its force 
 side. Referring to Figs. 96 and 97 it will be seen that, the 
 
PLENUM WiARM AIR HEATING 
 
 163 
 
 PLAN. 
 
 ELEVATION. 
 
 Fig. 96. Fan Room Layout with Single Ductr along 
 Basement Ceiling and all Mixing Dampers at Plenum 
 Chamber. 
 
164 
 
 HEATING AND VENTILATION 
 
 Fig. 97. Fan Room Layout with Double Underground 
 Ducts and Mixing Dampers at Base of Room Stacks. 
 
PLENUM WARM AIR HEATING 165 
 
 heating coils can be of service only at such times as the 
 fan is in operation. If now these coils were split up into 
 small heaters and placed at the foot of the stacks leading 
 to the various rooms then air could be by-passed through 
 the plenum chamber and ducts, over the various radiating 
 surfaces to the rooms. In this way the heaters could be 
 used as indirect gravity heaters. The radiation in such a 
 case would be insufficient to keep the rooms at the same 
 temperatures as if the same amount of surface were placed 
 in the plenum coil next the fan. When the fan is in oper- 
 tion the air is moving at a high velocity over the heating 
 surface and the rate of transmission is very high. On the 
 other hand, when they are placed at the foot of the stacks 
 and used as indirect heaters, without the operation of the 
 fan, the air velocity and the amount of heat delivered to 
 ■ the rooms are correspondingly reduced. In some cases the 
 heating coils are arranged in this way and used when the 
 building is not occupied. The convenience of such an in- 
 stallation can readily be seen; however, the expense of in- 
 stalling is greater than where they are assembled as coiis 
 at the fan. Exhaust steam from the engine is commonly 
 used in the tempering coil and live steam of low pressure 
 in the main heating coil. This may be varied by conditions, 
 however, and all surface supplied by exhaust steam if it is 
 thought advisable. 
 
 105. Single Duct Plenum System: — Duct systems in hot 
 blast work may be either of the single duct type or the 
 double duct type. In the single duct plant, every horizontal 
 duct is carried independently from the base of the room to 
 be heated to the small room called the plenum chamber, which 
 receives the hot blast from the heater. This chamber is 
 divided into an upper and a lower part, the upper receiving 
 the heated air that has been forced through the heater, 
 while the lower part receives only air that has been through 
 the tempering coilsi, or vice versa. The leader duct from 
 the base of each vertical room duct is led directly opposite 
 the partition between these two chambers, and a damper, 
 regulated by some system of automatic control from the 
 rooms to be heated, governs whether cool air from the lower 
 chamber, or hot air from the upper chamber, or a mixture 
 of both, shall be sent to the rooms. This system produces 
 rather a complicated net work of dampers and ducts at the 
 plenum chamber and this disadvantage has limited its use 
 very much. 
 
166 
 
 HEATING AND VENTILATION 
 
 106. Double Duct Plenum System: — As its name Indi- 
 cates, this system runs a double leader duct from the 
 plenum chamber to the base of each vertical room duct, the 
 upper one of these ducts being in direct communication 
 with the upper part of the plenum chamber and carries 
 
 hot air, while the lower 
 one is in communication 
 with the lower part of 
 the plenum chamber and 
 carries cool air. No mix- 
 ing- or throttling is done 
 except at the base of the 
 vertical room duct, where 
 the mixing damper is lo-. 
 cated, it being controlled 
 by hand or automatically 
 directly from the room 
 above. With this scheme 
 it is evident that the 
 leader ducts for each 
 xoom need not be run 
 singly, but all the ducts 
 having the same general 
 direction combined in 
 one large double trunk, 
 from which branches are 
 taken to the various 
 room ducts as required. 
 The difference between 
 the two systems is shown by the two sketches, Figs. 96 
 and 97. 
 
 A hot blast plant may be installed as a basement or as 
 a suh-bascmcnt system. If the former, the leaders will be 
 suspended from the basement ceiling and usually con- 
 structed of sheet metal, thus forming what is often called a 
 "false ceiling." If the latter, they will be just below the 
 floor of the basement and will be constructed of brick and 
 mortar, or of concrete, about four inches thick. For designs 
 of conduits, ducts and dampers, see Figs. 90, 96, 97 and 
 98, the last showing a simple and direct installation often 
 applied to factories of several stories. Fig. 99 shows a 
 complete steel housed plenum unit of fan, coils, dampers 
 and duct connections. 
 
 Fig. 98. 
 
PLENUM WARM AIR HEATING 
 
 167 
 
 Fig. 99. 
 
 107. Air Washing and Humidifying Systems: — In con- 
 nection with mechanical warm air heating and ventilating 
 systems, there is often installed apparatus for washing 
 and humidifying the air. In crowded city districts where 
 the air is laden with dust, soot, the products of combus- 
 tion and other harmful gases, its purification and moisten- 
 ing becomes a most important problem. The plenum system 
 of heating and ventilating lends itself most readily to 
 the solution of this problem, with the result that modern 
 practice is tending more each day toward the combined 
 installation of ventilating and humidifying apparatus. Fig. 
 100 shows a plenum system augmented by an air washing, 
 purifying and humidifying apparatus, 
 
 A purifier contemplates the installation of two parts, a 
 washer and an eliminator. The washer is built in the main 
 air duct, located immediately behind the tempering coils, 
 and provided with streams or sprays of water through 
 which the air must pass. Numerous schemes for breaking 
 up the water in the finest sprays are on the market, and 
 their relative merits may be judged from trade literature. 
 Having caught the dust particles and dissolved the soluble 
 gases from the air, the water falls to a collecting pan at 
 the bottom of the spray chamber, and from there is again 
 pumped through the spraying nozzles. As the water be- 
 comes too dirty or too warm, a fresh supply is delivered to 
 the collecting pan. A small independent centrifugal pump 
 is commonly used for the circulation of the spray water. 
 
 After passing through the washer, the air next encoun- 
 ters the eliminator, the purpose of which is to remove the 
 surplus moisture and water particles remaining suspended 
 in the air. This is accon\plished by an arrangement of 
 
168 
 
 HEATING AND VENTILATION 
 
 more or less complicated l)affle plates, which cause the air 
 to change its direction suddenly many times in succession, 
 with the effect that the water particles impinge upon and 
 adhere to, the baffle plates. These are suitably drained to 
 the collecting" pan beneath the washer. As the air leaves 
 the eliminator and enters the fan it may, with good ap- 
 paratus, be relieved of 98 per cent, of all dust a-»d dirt, may 
 
 Fig. 100. 
 
 be supplied with moisture to very near the saturation point, 
 and, in summer time under favorable conditions, may be 
 cooled from 5 to 10 degrees lower than the atmosphere. 
 This is due to the cooling effect of vaporizing part of the 
 water. 
 
 Special air cooling plants have been installed in connec- 
 tion with the plenum system of ventilation, whereby refrig- 
 erated brine could be circulated in the regular heating coils. 
 The description of such a plant with data, may be found in 
 the transactions of the A. S. H. & V. E. for the year 1908. 
 
^ 
 
 CHAPTER XI. 
 
 ME3CHANICAL. WARM AIR HEATING AND 
 VENTILATION. FAN COIL SYSTEMS. 
 
 AIR, HEATING SURFACE AND STEAM REQUIREMENT. 
 PRINCIPLES OF THE DESIGN. 
 
 108. Definitions of Terms: — In the work under this gen- 
 eral heading, some of the technical abbreviations that are 
 frequently used are the following: H = B. t. u. heat loss 
 per hour by the formula, Ev = B. t. u. heat loss per hour by 
 ventilation, i/' = total B. t. u. loss including ventilation 
 loss, Q = cubic feet of air used per hour as a heat carrier, 
 Q' = cubic feet of air used including extra air for ventila- 
 tion, B = total square feet of heating surface in indirect 
 heaters, ts = temperature of the steam or water in the 
 heaters, t = highest temperature of the air at the register 
 (let this be the same as the temperature of the air upon 
 leaving the heater), V = temperature of the air In the room, 
 tv = temperature of the air at the register when extra air 
 is used for ventilation, to = temperature of the outside air, 
 K = rate of transmission of heat per square foot of surface 
 per degree difference per hour, N = the number of persons 
 to be provided with ventilation, V = velocity in feet per 
 minute and v = velocity in feet per second. Other abbre- 
 viations are explained in the text, 
 
 109. Theoretical Considerations: — For illustrative pur- 
 poses, references will frequently be made throughout this 
 discussion to a sample plenum design. Figs. 104, 105 and 106. 
 These show the essential points of most plenum work and 
 will serve as a basis for the applications. In working up 
 any complete design the following points should be' theo- 
 retically considered for each room: the heat loss, the cubic 
 feet of air per hour needed as a heat carrier (this should 
 be checked for ventilation), the net area of the register 
 in square inches, the catalog size of the register, and the 
 area and size of the ducts. In addition to these the follow- 
 ing should be investigated for the entire plant: the size 
 of the main leader at the plenum chamber, the size of the 
 
170 HEATING AND VENTILATION 
 
 principal leader branches, the square feet of heatlngr sur- 
 face in the coils, the lineal feet of coils, the arrangements 
 of the coils in groups and sections, the horse-power and 
 the revolutions per minute of the fan including the sizes 
 of the inlet and the outlet of the fan, the horse-power of 
 the engine including the diameter and the length of stroke, 
 and the pounds of steam condensed perTiour in the coils. 
 
 Fresh air is taken into the building at the assumed 
 lowest temperature, to degrees, is carried over heated coils 
 and raised to t degrees, is propelled by fans through ducts 
 to the rooms and then exhausted through vent ducts to the 
 outside air, thus completing the cycle. It will be the object 
 to so discuss this cycle that it will be general and so it will 
 apply to any case which may be brought up. 
 
 110. Heat Loss and Cubic Feet of Air Exliausted per 
 Hour: — It is assumed here, that in all mechanical draft 
 heating and ventilating systems, the circulating air is all taken 
 from the outside and throicn aicay after being used. Some installa- 
 tions have arrangements for returning the room air to the 
 coils for reheating, but such schemes should be considered 
 as features added to the regular design rather than as being 
 a necessary part of it. It is best to design the plant with 
 the understanding that all the air is to be thrown away, 
 it will then be large enough for any service that it is ex- 
 pected to handle. Having found // by some acceptable 
 formula, the total heat loss is (compare with Arts. 29 and 
 36.) 
 
 (Q or 0') (t' — to) 
 H' = H + (37) 
 
 When t' = 70 and to = zero, this formula reduces tO 
 jr = H + 1.27 (0 or Q') 
 
 To determine whether Q or Q' will be used find how many 
 people would be provided with ventilating air with the 
 volume 0. If Q = 55 F -i- (« — f),t= 140 and t' = 70, then 
 
 55 /f zr // 
 
 2J = = = approximately (38) 
 
 1800 (t — f) 2290 2300 
 
 If more people than N will be using the room at any one 
 time, then Q' will be used instead and this value would be 
 1800 times the number of persons in the room. In any or- 
 dinary case, Q will be sufficient. When this is so, formula 
 37 reduces to 
 
 W = 2 II (39) 
 
PLENUM WARM AIR HEATING 171 
 
 The reasoning- of this formula is easily seen when it is re- 
 membered thcit the heat given off from the air in dropping 
 from the register temperature, 140°, to the room tempera- 
 ture, 70°, goes to the radiation and leakage losses, H, while 
 that given off from the inside temperature, 70°, to that of 
 the outside temperature, 0°, is charged up to ventilation 
 losses, Hv. Since these values are equal, H' = H -^ Hv =^ 2 H. 
 Application. — Referring to Fig. 105, room 15, and Table 
 XVI, page 176, it is seen 'that the calculated heat loss H, for 
 this room, with f = 70 and to = 0, is 70224 B. t. u. per hour; 
 also, that the cubic feet of air, Q, if f = 140, is 54775 per 
 hour. Applying formula 39, the total heat loss, H', be- 
 comes 140448 B. t. u. per hour, or twice the amount found 
 by the heat loss formula. With 54775 cu'bic feet of air sent 
 to the room per hour, this will provide good ventilation for 
 thirty persons. Suppose, however, that fifty persons were 
 to be provided for; this would require 50 X 1800 = 90000 
 cubic feet of air per hour. With this increased number of 
 people in the room, the total heat loss would not be as 
 stated above, but would 'he according to formula 37. 
 
 90000 (70 — 0) 
 
 H' = 70224 H = 184864. 
 
 55 
 
 111, Temperature of the Entering: Air at the Register t 
 
 — In plenum work, the registers are placed higher in the 
 wall and the velocity of the air is carried a little higher 
 than in furnace work. It may be said that 140° is probably 
 the accepted temperature for design, excepting where an 
 extra amount of air is demanded for ventilation purposes. 
 In- the latter case, the temperature of the air would neces- 
 sarily drop below 140° in order that the room would not be 
 overheated. The general formula is 
 
 55 H 
 
 tv = r -] (40) 
 
 Q' 
 
 Application. — Referring to room 15 and (compare with 
 Art. 38) assuming the heat loss to have been figured as 
 before with ventilating air supplied sufficient for 50 per- 
 sons, 90000 cubic feet per hour, then the temperature of the 
 air at the register is 
 
 55 n 
 
 f = 70 ^ = 113' 
 
 90C00 
 
172 
 
 HEATING AND VENTILATION 
 
 The temperature of the air at the register Is the 
 same or slightly less than the temperature of the air upon 
 leaving the coils. If this room were to be the only one 
 heated, then the coils would be figured for a final temper- 
 ature of the air at 113°, but other rooms may have air 
 entering at higher temperatures, hence the temperature * 
 upon leaving the coils should be that of the highest t at 
 the registers. 
 
 112. Cubic Peet of Air Needed per Hour: — The following 
 amount of air will be needed per hour as a heat carrier 
 (compare with Art. 36). 
 
 Q 
 
 55 H 
 
 ■; where t = 140 and f = 70, g = 
 
 t — r 1.27 
 
 If extra air be needed for ventilation, Q' = 1800 N. 
 
 113. Air Velocities, T, in the Plenum System; — Table 
 XIII gives the velocities in feet per minute that have been 
 found to give good satisfaction in connection with blower 
 systems. 
 
 TABLE XIIL 
 
 Air Velocities in the Plenum System. 
 
 Offices, 
 schools, etc. 
 
 Auditoriums, 
 churches, etc 
 
 Shops and 
 factories. 
 
 Fresh 
 
 air 
 intake 
 
 ^S 
 
 8 
 
 Over 
 coils 
 
 si 
 
 O o3 
 
 Main 
 duct 
 near 
 fan 
 
 1200 to 
 
 18(X) 
 say 1500 
 
 1600 to 
 
 2()00 
 say 1800 
 
 1500 to 
 
 8000 
 say 2000 
 
 Smaller 
 branch 
 
 ducts 
 
 800 to 
 
 1200 
 
 say 900 
 
 1000 to 
 
 1500 
 say 1200 
 
 1000 to 
 
 2000 
 say 1500 
 
 Stacks 
 
 500 to 
 
 700 
 say 600 
 
 Reg'rs 
 or other 
 open'gs 
 
 600 to 
 
 1000 
 
 say 800 
 
 300 to 
 
 400 
 say 800 
 
 600 to ! 400 to 
 
 800 I 600 
 say 700 I say 400 
 
 400 to 
 
 800 
 say 500 
 
 114. Cross Sectional Area of Registers, Ducts, etc.:— 
 
 With the above velocities in feet per minute, the square 
 inches of net opening at any part of the circulating sys- 
 tem can be obtained by direct substitution in the general 
 formula 
 
 144 (0 or Q') 
 
 A = (0 or g') X 
 
 60 V 
 
 = 2.4 
 
 (41) 
 
PLENUM WARLi AIR HEATING 
 
 173 
 
 The calculated duct sizes, of course, refer to the warm 
 air duct. The cold air duct in double duct systems need not 
 be so large because on warm days, when only tempered air 
 is needed, the steam may be turned off from one or more 
 of the heaters and the warm air duct can then be used to 
 furnish what otherwise would be required from the cold 
 air duct. On account of this flexibility, it seems only nec- 
 essary to make the cold air duct about one-half the cross 
 sectional area of the warm air duct. For convenience of 
 installation, therefore, it would be well to make the former 
 of equal width to the latter and one-half as deep, unless by 
 so doing the cold air duct becomes too shallow. 
 
 Application. — Assuming 2000000 cubic feet of air to pass 
 through the main heat duct, Fig. 104, per hour at the veloc- 
 ity of 1800 feet per minute, the duct will be approximately 
 20 square feet in cross section, or 2^/^ by 8 feet. The two 
 inain branches at B will carry about 800000 cubic feet per 
 hour each at the same velocity and will be 7.4 square feet 
 in area or, say 2 by 4 feet. The same branches at C will 
 carry about 400000 cubic feet per hour each at a velocity of 
 1500 feet per minute and will be 4.4 square feet in area or, 
 say 2 by 2^/^ feet and the branch D will carry about 300000 
 cubic feet at a velocity of 1200 feet per minute and will be, 
 say 11/^ by 2% feet. 
 
 The stack sizes were first figured for the velocity of 600 
 feet per minute. These sizes were then made to fit the lay- 
 ing of the brick work such that the velocities would be 
 anywhere between 300 to 600 feet per minute. The net 
 register was figured for an air velocity of 300 feet per 
 minute and the gross registers were assumed to be 1.6 
 times the net area. See Art. 134. 
 
 115. Square Feet of Heating: Surface, i?, in the Coils: — 
 
 To determine theoretically the number of square feet of 
 heating surface in the coils of an indirect heater, the fol- 
 lowing formula may be used: 
 
 R = (42) 
 
 ts 
 
 t+to 
 
 Rule. — To find the square feet of coil surface in an indirect 
 heater, divide the total heat loss fro7n the building in B. t. u. per 
 hour by the rate of transmission, multiplied by the difference in 
 temperature between the inside and outside of the coils. 
 
174 
 
 HEATING AND VENTILATION 
 
 Since the colls are figured from, the entire building loss, 
 //' will include the sum of all the heat losses of the various 
 rooms. Tlie chief concern in the use of this formula, as 
 stated, is to determine the best value for K, the rate of 
 transmission. Prof. Carpenter in H. and V. B., Art. 52, 
 quotes extensively from experiments with coils in blower 
 systems of heating- and summarizes all in the formula, K = 
 2 + 1.3 v. where v = average velocity of air over the coils 
 in feet per second. With the four velocities most appli- 
 cable to this part of the work, i. e., 800, 1000, 1200 and 1500 
 feet per minute, this becomes 
 
 800 feet per minute K = 6.9 
 
 1000 feet per minute K = 1 .3 
 
 1200 feet per minute Z = 7.8 
 
 1500 feet per minute JT = 8.5 
 
 In the table of probable efficiencies of indirect radiators in 
 Art. 54 by the same author, the values are somewhat higher, 
 being 
 
 750 feet per minute K = 7.1 
 
 1050 feet per minute K = 8.35 
 
 1200 feet per minute K = 9. 
 
 1500 feet per minute K = 10. 
 
 The values of K, as given here, are certainly very safe 
 when compared to quotations from other experimenters, 
 some of them exceeding these values by 50 per cent. It 
 is always well to remember that a coil that has been in 
 service for some time is less efficient than a new coil, be- 
 cause of the dirt and oil deposits upon the surface, hence 
 it is best in designing, not to take extreme values for ef- 
 ficiency. Assuming K = 8.5 and 1000 feet per minute air 
 velocity, which are probably the best values to use in the 
 calculations, also ts = 227 (5 pounds gage pressure), t = 
 140 and to = 0, formula 42 becomes 
 
 R = 
 
 H' 
 
 H' 
 
 H' 
 
 8.5 
 
 ( 227 
 
 140 + 
 
 1335 
 
 say 
 
 1400 
 
 (43) 
 
 Table XIV quoted by Mr. C. L. Hubbard in Power Heat- 
 ing & Ventilation, Part III, page 557, gives the efficiencies 
 of forced-blast pipe heaters and the temperatures of air 
 delivered. 
 
PLENUM WARM AIR HEATING 
 
 175 
 
 TABLE XIV. 
 
 EfRciencies of Forced-Blast Pipe Heaters, and Temperatures 
 
 of Air Delivered. 
 
 Velocity of air over coils at 800 feet per minute. 
 
 Rows 
 
 Temp, 
 will be 
 
 to which the air 
 raised from zero 
 
 of pipe 
 deep 
 
 Steam pressure in heater 
 
 
 51b. 
 
 20 lb. 
 
 60 lb. 
 
 4 
 
 30 
 
 35 
 
 45 
 
 6 
 
 50 
 
 55 
 
 65 
 
 8 
 
 65 
 
 70 
 
 85 
 
 10 
 
 80 
 
 90 
 
 105 
 
 12 
 
 95 
 
 105 
 
 125 
 
 14 
 
 105 
 
 120 
 
 140 
 
 16 
 
 120 
 
 130 
 
 150 
 
 18 
 
 130 
 
 140 
 
 160 
 
 20 
 
 140 
 
 150 
 
 170 
 
 Efficiency of the heating: sur- 
 face in B.t.u. per sq.ft. per hr. 
 
 Steam pressure in heater 
 
 5 lb. 
 
 1600 
 1600 
 1500 
 1500 
 1500 
 1400 
 1400 
 1300 
 1300 
 
 20 lb. 
 
 60 lb. 
 
 1800 
 1800 
 1650 
 1650 
 1650 
 1500 
 1500 
 1400 
 1400 
 
 2000 
 2000 
 1850 
 1850 
 1850 
 1700 
 1700 
 1600 
 1600 
 
 For a velocity of 1000 feet per minute multiply the 
 temperatures given in the table by 0.9 and the efficiencies 
 by 1.1. 
 
 Mr. F. R. Still of the American Blower Co., Detroit, 
 gives the following formula for the total B. t. u. trans- 
 mitted per square foot of surface per hour between the 
 temperature of the steam and that of the entering air. 
 
 Total B. t. u. transmitted = c Vv (ts — to) 
 
 (44) 
 
 in which case v is the velocity in feet per second and c is 
 a constant as follows: 
 
176 
 
 HEATING AND VENTILATION 
 
 TABLE XV. 
 Values of c. 
 
 
 Safe factor 
 
 Max. factor 
 
 1 section 4 
 
 rows 
 
 of pipe 
 
 8.45 
 
 4.40 
 
 2 sections 8 
 
 rows 
 
 of pipe 
 
 8.00 
 
 8. 40 
 
 8 sections 12 
 
 rows 
 
 of pipe 
 
 2.63 
 
 2. 85 
 
 4 sections 10 
 
 rows 
 
 of pipe 
 
 2.83 
 
 2.45 
 
 5 sections 20 
 
 rows 
 
 of pipe 
 
 212 
 
 2 20 
 
 C sections 24 
 
 rows 
 
 of pipe 
 
 1.06 
 
 2.05 
 
 7 sections 28 
 
 rows 
 
 of pii>e 
 
 1.80 
 
 1.95 
 
 8 sections 32 
 
 rows 
 
 of pipe 
 
 l.«5 
 
 1 85 
 
 9 sections 86 
 
 rows 
 
 of pipe 
 
 1.62 
 
 1.80 
 
 10 sections 40 
 
 rows 
 
 of pipe 
 
 1.40 
 
 1.76 
 
 From the above values of c, Table XVI has been com- 
 piled, assuming ts = 227, to = and c = a safe value. 
 
 TABLE XVI. 
 
 
 Total transmission in B. 
 
 t. u. per sq. 
 
 Ct. per 
 
 hour. 
 
 «s 
 
 
 
 ts = 22' 
 
 •; to = 0. 
 
 
 
 o'r 
 
 
 
 
 
 
 
 ^ © 
 
 
 
 
 
 " 
 
 
 
 
 
 Rows of pipe deep. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 >B 
 
 4 
 
 8 
 
 12 
 
 16 
 
 20 
 
 24 
 
 28 
 
 82 
 
 BOO 
 
 2840 
 
 2470 
 
 2164 
 
 1990 
 
 1760 
 
 1606 
 
 1460 
 
 1860 
 
 1000 
 
 8200 
 
 2790 
 
 2440 
 
 2170 
 
 1900 
 
 1810 
 
 1670 
 
 15S5 
 
 1200 
 
 8600 
 
 8040 
 
 2670 
 
 2860 
 
 2160 
 
 1980 
 
 1826 
 
 1678 
 
 1600 
 
 8960 
 
 3400 
 
 2961 
 
 2646 
 
 2400 
 
 2220 
 
 2020 
 
 1870 
 
 Cast iron heaters are being used for indirect heating In 
 many cases, replacing the old-fashioned pipe coil heaters. 
 The efficiency of these heaters is, according to tests, about 
 the same as that of the pipe coil heaters and hence formulaifl 
 42 and 43 will apply to both pipe and cast heaters. Table 
 
^ 
 
 PLENUM WARM AIR HEATING 
 
 177 
 
 XVII gives values of heat transmission for various sections, 
 taken from tests upon Vento oast iron heaters set up In 
 banks, and is added as a means of comparison with the 
 values quoted on the pipe coil heaters. 
 
 TABLE XVIL 
 
 Rate of Transmission of Heat, K, through Vento Colls. 
 
 Steam 227% Adr Entering at 0'. 
 
 Velocities of air over colls. 
 
 Sections 
 
 800 
 
 1000 
 
 1200 
 
 1500 
 
 1 
 
 7.6 
 
 8.8 
 
 10.0 
 
 11.8 
 
 2 
 
 7.1 
 
 8.2 
 
 9.2 
 
 10.5 
 
 8 
 
 6.6 
 
 7.7 
 
 86 
 
 9.7 
 
 4 
 
 6.1 
 
 7.1 
 
 7.9 
 
 9.0 
 
 5 
 
 5.6 
 
 6.5 
 
 7.3 
 
 8.8 
 
 6 
 
 5.2 
 
 6.0 
 
 6 7 
 
 7.7 
 
 7 
 
 4.8 
 
 5.5 
 
 6.2 
 
 7.1 
 
 In applying these values of K to formula 42 it should 
 
 be remembered that to would be used instead of - — ^^— ^ — 
 Application 1. Where Heating Only is Considered. — Referring 
 to Table XXV let H for the entire building be 1483251. 
 Then from Art. 112, Q = 1156935, by formula 39, H' = 2966502 
 and by formula 43, the coil surface is 
 
 2966502 
 
 B = 
 
 / 140 + 0\ 
 
 .5(227 -_) 
 
 = 2222 square feet. 
 
 With three lineal feet of 1 inch pipp per square foot of 
 surface, we have 6666 lineal feet of coils in the heater. 
 
 Application 2. Where Ventilation is Considered. — Assume 1100 
 people in the building on a zero day and Q' = 2000000, then, 
 H' = 1483251 + 1.27 X 2000000 = 4023251 and 
 4023251 
 
 R = 
 
 8.5 f 227 
 
 140 + 
 
 ) 
 
 = 3014 sq. feet = 9042 lineal feet 
 
178 HEATING AND VENTILATION 
 
 This value is probably the greatest amount that would 
 be needed. In such a case, when the rooms are supplied 
 with extra air, the register temperatures over the entire 
 building may be less than 140 degrees. Suppose in this 
 case the temperature is, by formula 40, t = 70 -f 55 X 1483251 
 -^ 2000000 = 111°, then 
 
 4023251 
 
 R = = 2760 sq. ft. = 8280 lineal ft. 
 
 Ill + 
 8.5 
 
 (-- 
 
 2 / 
 
 In using this formula, the value t = 140 is to be recom- 
 mended wherever part of the rooms are not provided with 
 extra amounts of ventilating air. By so doing the ducts and 
 registers may be held down to a more moderate size and at 
 the same time give a safer figure for the heating surface. 
 
 Suppose that in a certain building most of the rooms 
 are to be ventilated and that these rooms will have large 
 amounts of air delivered at low temperatures. In such a 
 case it wnll be economy to heat the air for all rooms to this 
 temperature and supply more air to the rooms that would 
 otherwise be heated with air at 140 degrees, than to put 
 in a heater large enough to heat all the air to 140 degrees 
 and then dilute with large amounts of cold air to lower the 
 temperature to what it should be. Again, suppose that a 
 school building contains, in addition to the regular class 
 rooms, laboratories, etc., an auditorium and gymnasium, the 
 two together requiring an amount of air sufllcient to justify 
 a separate fan system (a condition which frequently exists), 
 it would be economy to separate the heating system for 
 these rooms from the rest of the building because of tlie 
 comparatively short time the rooms are in use. When not 
 in use the fan unit may be shut down without interfering 
 with the rest of the system. On the other hand, if united 
 with the rest of the building, the capacity of the unit would 
 be reached only when these rooms were in use, while at 
 other times it would run at a very low efficiency. 
 
 116. Approxininto Riilea for Plenum Heating: Surfaces t 
 
 — The following approximate rules are sometimes used In 
 
 checking up heating surface in the coils. These are not 
 
 recommended and should be used with caution. 
 
 Rule 1. — "Allow oue lineal foot of 1 inch pipe for each 65 to 
 125 cubic feet of room space"; 65 for office buildinps, schools, etc., 
 and 125 for shops and laboratories. Sirice this buildinp has approx- 
 imatelii 500000 cubic feet of room space, it gives 7700 lineal feet 
 of 1 inch pipe in the heater. 
 
PLENUM WARM AIR HEATING 
 
 179 
 
 Rule 2. — "Alloio 200 lineal feet of 1 inch pipe for each 1000 
 cubic feet of air per minute at a velocity of 1500 feet per minute." 
 Applying to the above building when the air moves over the coils at 
 1000 feet per minute, the heated surface is only about four-fifths as 
 valuable and xoould require 250 lineal feet per each 1000 cubic feet 
 of air per minute. This gives 8333 lineal feet of coils. 
 
 117. Final Air Temperatures: — Since the amount of 
 
 heat transmitted is directly proportional to the difference 
 
 of temperature between the two sides of the metal, the first 
 
 coils in the bank are the most efficient, and this efficiency 
 
 drops off rapidly as the air becomes heated in passing over 
 
 the coils. Final temperatures for different numbers of coil 
 
 sections in banks have been found by experiment and may 
 
 be taken from Table XVIII. See also Table XIV, page 175. 
 
 TABLE XVIII. 
 
 TempeTatures of Air upon Leaving Colls, Steam 227°, Air 
 
 Entering at 0". 
 
 
 
 Velocities of air through coils in F. P. M. 
 
 Sections 
 
 No. of 
 Rows 
 
 
 
 800 
 
 1000 
 
 1200 
 
 1500 
 
 1 
 
 4 
 
 42 
 
 33 
 
 28 
 
 23 
 
 2 
 
 8 
 
 71 
 
 62 
 
 56 
 
 52 
 
 3 
 
 12 
 
 96 
 
 87 
 
 80 
 
 75 
 
 4 
 
 16 
 
 119 
 
 108 
 
 101 
 
 93 
 
 5 
 
 20 
 
 136 
 
 125 
 
 116 
 
 108 
 
 6 
 
 24 
 
 153 
 
 140 
 
 131 
 
 120 
 
 7 
 
 28 
 
 169 
 
 155 
 
 143 
 
 131 
 
 8 
 
 32 
 
 183 
 
 166 
 
 154 
 
 141 
 
 These temperatures may be increased about 10 per cent, 
 for 20 pounds gage pressure. 
 
 Table XIX shows similar results quoted for the Vento 
 cast Iron heaters. 
 
 , 
 
180 
 
 HEATING AND VENTILATION 
 
 TABLE XIX. 
 
 Temperatures of Air upon Leaving Vento Coils, Steam 227' 
 
 Air Entering at 0°. Regular and N-arrow Sections 
 
 5 Inch Centers. 
 
 o. 
 
 
 
 
 
 •M * 
 
 
 
 
 
 O'O 
 
 
 
 
 
 
 
 Velocities of air through colls In F. P. M. 
 
 
 
 800 
 
 1000 
 
 1200 
 
 1500 
 
 
 
 0° 
 
 -10° 
 
 -20° 
 
 0° 
 
 -10° 
 
 -20° 
 
 0° 
 
 -10" 
 
 -20° 
 
 0° 
 
 -10° 
 
 -£0° 
 
 1 
 
 Reg. 
 Nar. 
 
 88 
 
 
 
 86 
 
 
 
 82 
 
 
 
 80 
 
 
 
 2 
 
 Reg. 
 
 68 
 
 61 
 
 bb 
 
 Q'i 
 
 55 
 
 48 
 
 59 
 
 51 
 
 44 
 
 53 
 
 46 
 
 t8 
 
 
 Nar. 
 
 51 
 
 48 
 
 36 
 
 46 
 
 88 
 
 81 
 
 48 
 
 85 
 
 
 89 
 
 81 
 
 
 8 
 
 Reg. 
 
 93 
 
 87 
 
 82 
 
 87 
 
 80 
 
 76 
 
 82 
 
 75 
 
 69 
 
 74 
 
 68 
 
 61 
 
 
 Nar 
 
 70 
 
 64 
 
 bV 
 
 65 
 
 58 
 
 52 
 
 61 
 
 54 
 
 47 
 
 55 
 
 48 
 
 41 
 
 4 
 
 Reg. 
 
 113 
 
 108 
 
 103 
 
 106 
 
 1(K) 
 
 96 
 
 100 
 
 95 
 
 90 
 
 92 
 
 86 
 
 81 
 
 
 Nar. 
 
 88 
 
 82 
 
 77 
 
 82 
 
 76 
 
 70 
 
 77 
 
 70 
 
 6-t 
 
 70 
 
 68 
 
 66 
 
 6 
 
 Reg. 
 
 130 
 
 126 
 
 122 
 
 122 
 
 118 
 
 114 
 
 116 
 
 111 
 
 107 
 
 108 
 
 102 
 
 97 
 
 
 Nar. 
 
 103 
 
 97 
 
 m 
 
 96 
 
 90 
 
 86 
 
 90 
 
 84 
 
 80 
 
 83 
 
 77 
 
 71 
 
 6 
 
 Reg. 
 
 148 
 
 140 
 
 136 
 
 136 
 
 132 
 
 128 
 
 129 
 
 126 
 
 121 
 
 120 
 
 116 
 
 112 
 
 
 Nar. 
 
 115 
 
 111 
 
 107 
 
 108 
 
 104 
 
 100 
 
 102 
 
 98 
 
 93 
 
 94 
 
 8<) 
 
 84 
 
 7 
 
 Reg. 
 
 154 
 
 151 
 
 148 
 
 147 
 
 144 
 
 141 
 
 141 
 
 137 
 
 \m 
 
 182 
 
 128 
 
 134 
 
 
 Nar. 
 
 127 
 
 123 
 
 120 
 
 120 
 
 115 
 
 111 
 
 114 
 
 109 
 
 105 
 
 105 
 
 100 
 
 96 
 
 118. Arrangement o£ Coil.s in Pipe Heaters: — Coil sec- 
 tions are arranged with 2, 3 and 4 rows of pipes per sec- 
 tion. Unless special reference is made to this point, the 
 latter value is understood. Having found the total square 
 feet of heating surface in the heater, obtain from the tem- 
 perature tables the number of sections deep the heater will 
 need to be to produce the desired temperature, and find the 
 number of square feet of heating surface per section and 
 per row of coils. Let this latter value be A. Also find the 
 net wind area across the coils, assuming, say 1000 feet per 
 minute velocity. From the net wind area, find the gross 
 cross sectional area of the heater by the value 
 
 Gross wind area = 2.5 times net wind area. (45) 
 
 From the gross area the size of the heater may be selected. 
 In selecting the heater, the following check should be ap- 
 plied. Find the number of square feet of heating surface, 
 B, in each row of the coils as figured from the gross area 
 and compare with A. These must be made to agree. 
 
 Let the net area between the tubes, N. A., the space 
 
 i 
 
PLENUM WARM AIR HEATING 
 
 181 
 
 occupied by the tubes, T. A., and the gross cross sectional 
 wind area through the tube, G. W. A., be respectively 
 
 2\^. A. 
 
 QoyQ' QotQ' QotQ' 
 
 -; T. A. = ; and G. W. A. = (46) 
 
 60 y 40 y 24 y 
 
 Since the cross sectional space T. A. occupied by the tubes 
 is to the coil surface per row as 1 : 3.1416, the total coil 
 surface in one row of tubes is 
 
 3.1416 (Q or Q') (Q or g') 
 
 Ri = = .08 
 
 40 y y 
 
 Reduced to the basis of the net area, N. A., we have 
 
 i?i = 4.8 times N. A. (47) 
 
 If B is greater than A, then the total heating surface 
 must be increased in that proportion, since the number of 
 sections cannot be less or the final temperature will drop 
 below the required degree, and the net cross section cannot 
 be less or the velocity of the air will be greater than that 
 desired. On the other hand, suppose B should be less than 
 A. In that case the total heating surface will not change 
 from that calculated. Either B may remain the same as 
 calculated and the number of sections increased (if de- 
 sirable) until all the heating surface is accounted for, or A 
 may remain constant and B may be increased. The latter 
 method is probably a better one since it gives larger wind 
 areas and consequently reduced velocities of the air, which 
 in many cases is desirable, and avoids placing heating .sur- 
 face at the rear of the bank where it is less efficient. 
 
 Assembled sections of pipe coil heaters are supplied by 
 manufacturers from the smallest size of 3 feet x 3 feet, to 
 the largest size of 10 feet x 10 feet; these dimensions being 
 those of the gross cross-sectional area, and not dimensions 
 overall. Between the two limits, both height and breadth 
 usually vary by 6 inch increments. For exact sizes, consult 
 dimension tables in manufacturers' catalogs. 
 
 Application 1. — In Article 115, let R = 2222, Q = 1156935, 
 V = 1000 and t = 140; then from Table XVIII the heater will 
 require 24 rows of coils in depth to give the required tem- 
 perature. Next find Ri = 93 square feet of heating surface 
 per row, also 
 
 N. A. ~ 19.7; T. A. = 29.6; and G. W. A. = 48.3. 
 
 Checking N. A. with an air velocity of 1000 feet per min- 
 ute gives 1156935 -^ (60 X 1000) = 19.3 square feet, which 
 
282 HEATING AND VENTILATION 
 
 shows that the above arrangement is satisfactory. Now 
 
 from the value O. W. A, = 48.3 select a heater, say 6 feet 
 
 X 8 feet. 
 
 Application 2. — In article 115, let R = 3014, Q' = 2000000, 
 
 V = 1000 and t = 140; then as before, the heater will need 
 
 24 rows of coils. Find in this case Ri = 126 and 
 
 N. A. = 26.3; T. A. = 39.4; and G. W. A. = 65.7. 
 
 Checking from the volume of air delivered, obtain 
 
 N. A. = ZZ.Z; T. A. = 50; and O. W. A. = 83.3. 
 
 From N. A. = 33.3 find Ri = 160, which shows that it will 
 
 160 
 
 be necessary to increase the total heating surface to 
 
 126 
 
 X 3014 = 3826 square feet. If it were considered advisable 
 to have 1200 feet air velocity the heating surface per row 
 would be reduced to 135 and the temperature, t, would be 
 reduced to 131. Both conditions are reasonable and in many 
 cases would be considered satisfactory. 
 
 Selecting the heater for the gross area of 83.3 square 
 teet, from the catalog size, would probably give a single 
 section 9 feet X 9 feet or a double section, each part 6 
 feet X 7 feet. 
 
 119. Arrangrement of Sections and Stacks In Vento Cast 
 Iron Heaters: — Applying only to Case 2, Art. 115, let R = 
 3014, Q' = 2000000, V = 1000, N. A. (least value) = 33.3, and i 
 = 140. 
 
 From Table 48, Appendix, either of the following ar- 
 rangements will give the necessary N. A. First. — Six stacks 
 deep, two sections high, 50 inches on top of 60 inches and 
 twenty sections wide. This makes a total of 590 square 
 feet to the stack or 3540 square feet total. The gross wind 
 area looking in the direction of the wind is 103 inches by 
 110 inches. Second. — Six stacks deep, two sections high, 60 
 Inches on top of 60 inches and eighteen sections wide. This 
 makes a total of 576 square feet to the stack or 3456 square 
 feet total. The gross wind area looking in the direction 
 of the wind is 93 inches by 120 inches. These arrangements 
 will guarantee a temperature of 136 degrees upon leaving 
 the coils. If this temperature is not sufficient then the 
 coils must be made seven sections deep and the total heat- 
 ing surface arbitrarily increased. Other arrangements 
 could be worked out with 4% inch and 5% inch spacings. 
 Also, narrow sections could be used in place of the regular. 
 It will be found, however, that the two stated are probably 
 
PLENUM WARM AIR HEATING 183 
 
 the best arrangements that could be made. (See Table XIX 
 for temperatures.) 
 
 120. Use of Hot Water in Indirect Colls: — In most cases 
 low pressure steam is used as a heating medium in the in- 
 direct coils. It is possible, however, to use hot water in- 
 stead, where a good supply is to be had. In such an ar- 
 rangement the coils will be figured from formula 42, using 
 all values the same as for steam excepting ts, which will 
 be repilaced by the average temperature of the water. The 
 piping connections and the arrangement of the coils will 
 follow the same general suggestions as already stated. 
 
 121. Pounds of Steam Condensed per Square Foot oi 
 Heatin§r Surface per Hour: — From Art. 115 the number of 
 pounds of condensation per hour per square foot of surface 
 in the coils is 
 
 H' 
 
 m = (48) 
 
 R X Heat given off per pound of condensation. 
 
 Application. — Let R = 3014 and H' = 4023251; also let 
 one pound of dry steam at five pounds gage in condensing 
 to water at 212 degrees give off 1155.6 — 180.9 = 974.7. (See 
 Tables 4 and 8, Appendix), then 
 
 4023251 
 
 m = =1.37 pounds. 
 
 3014 X 974.7 
 
 This amount should, of course, be considered an average. 
 
 The first and last section in any bank would vary above 
 and below this amount by as much as 50 per cent, in the 
 average plant. The first coils may condense as much as 2 
 pounds of steam per square foot of surface per hour. 
 
 122. Pounds of Dry Steam Needed in Bxcess of the 
 E^xhaust Steam Given off From the Engine: — Let the heat- 
 ing value of the exhaust steam from the engine be 85 
 per cent, of that of good dry steam, also let the engine 
 use 40 pounds of dry steam per horse power hour in driv- 
 ing the fan. From Art. 132, the engine will use 40 X 13.6 
 = 544 pounds of steam per hour and the heating value will 
 be 974.7 X .85 = 828 B. t. u. per pound or 828 X 544 = 450432 B. 
 t. u. total per hour. Then 4023251 — 450432 = 3572819 B. 
 t. u., and 3572819 -4- 974.7 = 3664 pounds of steam. The 
 boiler will then supply to the engine and coils, 3664 + 544 
 = 4208 pounds of steam total and will represent, approx- 
 imately, 4208 -r- 30 = 140 boiler horse power. 
 
CHAPTER XII. 
 
 MECHANICAL WARM AIR HEATING AND 
 VENTILATION. FAN COIL SYSTEMS. 
 
 PRINCIPLES OF THE DESIGN, CONTINUED. 
 FANS AND FAN DRIVES. 
 
 123. Theoretical Air Velocity: — The theoretical velocitiv 
 of air V, flowing from any pressure, pa, to any pressure, pb, 
 
 is obtained from the general equation v = y/^gh, where v 
 is given in feet per second, g = 32.16 and h = head in feet 
 producing flow. This latter value may be easily changed 
 from feet of head to pounds pressure and vice versa. 
 
 When exhausting air from any enclosed space into 
 another space containing air at a different density, the 
 force which causes movement of the air is pa — p6 = p*. 
 These recorded pressures may be taken by any standard 
 type of pressure gage and show pressures above the at- 
 mosphere. When exhausting into the atmosphere, the value 
 pb is zero and pa = px. Tlie fact that a difference of pres- 
 sure exists between two points indicates that there are 
 either two actual columns (or equivalent as in Fig. 8) of 
 air at different densities connected and producing motion, 
 or that, by mechanical means, a pressure difference is crea- 
 ted wliich may easily be reduced to an equivalent head h, 
 in feet, by dividing the pressure head by the density of the 
 air, as 
 
 pressure difference pa — pb 
 
 h = 
 
 density d 
 
 Let Pa — Pb = Px = ounces of pressure per square inch of 
 area producing velocity of the air; also, let g = acceleration 
 due to gravity = 32.16 and d = density, or weight, of one 
 cubic foot of dry air at 60 degrees and at atmospheric pres- 
 sure (Table 12, Appendix), then, substituting dn the general 
 equation, we have 
 
 "61.32 X liipx 
 
 = 87 V;^' (49) 
 
 .0764 X 16 
 
 Since the pressure producing flow is usually meas'ured 
 in inches of water, ^«., the above can be changed to equiva- 
 lent height of air column by 
 
 weight of water, per cu. ft. at given temp. X Tiio 
 h = (50) 
 
 weight of air at given temperature X 12 
 
 .=j 
 
PLENUM WARM AIR HEATING 
 
 185 
 
 Applying- this to dry air at 60 degrees and water at the 
 same temperature (Tables 12 and 8, Appendix, also Art. 15), 
 
 62.37 Jix 
 
 li = 
 
 = 68 hi 
 
 12 X .0764 
 then substituting in the general equation, find 
 
 V = V64.32 X 68 hw = 66.2 Vhw (51) 
 
 Formula 50 at the temperatures 50, 55, 60, 65 and 70 
 degrees respectively, gives results varying between v= 65.5 
 V?ri7 f or 50 degrees and v = 66.5 V^ for 70 degrees, which 
 leads to the approximate general rule that the theoretical 
 velocity of air, when measured by a water column gage that meas- 
 ures in inches of water, equals sixty-six times the square root of the 
 height of the column in inches. Stated as a formula 
 
 V 1= 66 V~^ (52) 
 
 for calculations requiring- accuracy, several factors af- 
 fect the final result; atmospiheric pressure, humidity, and 
 the density and change of temperature in the air current. 
 Let the atmospheric pressure and the humidity be 
 constant, since these would affect the result but little, and 
 first take into account ti ^ density of the air. Let the 
 pressure of the atmosphere be 29.92 inches of mercury 
 (14.7 pounds = 235 ounces per square inch area) then, 
 since the density is proportional to the absolute pressure, 
 the temperature remaining constant, we have from form- 
 ula 49 with air exhausting into the atmo.sphere. 
 
 -4 
 
 64.32 X 144 px 
 
 .0764 X 16 X 
 
 235 + Px 
 235 
 
 =: 1336 
 
 i 
 
 Px 
 
 235 + Px 
 
 (53) 
 
 Also from the relation existing between formulas 49 and 
 51, formula 53 reduces to 
 
 V = 1336 
 
 V 
 
 T, 
 
 (54) 
 
 407 + hw 
 From formulas 53 and 54 the second columns in Tables 
 
 XX and XXI have been calculated. 
 
 Application. — Air is exhausted from an orifice in an air 
 duct into the atmosphere. The pressure of the air within 
 the duct is one ounce by pressure gage or 1.74 inches by a 
 Pitot tube. Assuming the air to be dry and tne barometer 
 standing at 29.92 inches when the water in the tube is 60 
 degrees, what is the velocity of the air? By the approxi- 
 mate formulas 49 and 52 
 
186 
 
 HEATING AND VENTILATION 
 
 r = 87 Vr~= 87 F. P. 8. 
 and v = 66 y/l.li = 87.2 F. P. 8. 
 By formulas 53 and 54 
 
 17 = 1336 
 
 ^ 235+1 
 
 !6.3 F. P. 8. 
 
 and V = 1336 
 
 ^ 407 + 1.7 
 
 = 87.1 F. P. B. 
 
 + 1.74 
 
 TABLE XX. 
 Column 2 figured from formula 53. 
 
 8 . 
 
 o a 
 
 is 
 
 « 0) 
 
 Velocity of dry air at 60o es- 
 caping into the atmosphere 
 through any shaped orifice in 
 any pii)e or reservoir in which 
 a given pressure is main- 
 tained. 
 
 Vol. of air in cu. 
 ft. which may be 
 discharged in 1 
 min. through an 
 orifice having an 
 eflfective area of 
 discharge o f 1 
 SQ. inch. 
 
 H. P. required to 
 move the given 
 vol. of air under 
 the given con- 
 ditions f dis- 
 charge. 
 
 ( Col. 3 X Col 1 ) 
 
 
 Ft. per sec. 
 
 Ft. per min. 
 
 Ool. 8 H- 144 
 
 16X33000 
 
 Ks 
 
 30.80 
 
 1848.00 
 
 12.83 
 
 0.00044 
 
 J< 
 
 4856 
 
 2613.60 
 
 18.15 
 
 0.00124 
 
 ^ 
 
 53.27 
 
 3196 20 
 
 22.19 
 
 0.00227 
 
 'A 
 
 61.56 
 
 3693.60 
 
 25. 65 
 
 0.00:349 
 
 n 
 
 68.79 
 
 4127.40 
 
 28 66 
 
 0.00489 
 
 H 
 
 75.35 
 
 4521.00 
 
 31.47 
 
 0.00612 
 
 'A 
 
 81.87 
 
 4882.20 
 
 83.90 
 
 0.00809 
 
 1 
 
 86.97 
 
 5218.20 
 
 36.24 
 
 0.00988 
 
 1% 
 
 92.18 
 
 5530.80 
 
 88.41 
 
 0.01178 
 
 VA 
 
 97.18 
 
 5830.80 
 
 40.49 
 
 0.01380 
 
 IH 
 
 101.90 
 
 6114.00 
 
 42.46 
 
 0. 01592 
 
 VA 
 
 106.40 
 
 6384.00 
 
 44.33 
 
 0.01814 
 
 IH 
 
 110.82 
 
 6619. 20 
 
 46.11 
 
 0.02W6 
 
 IK 
 
 114.86 
 
 6891.60 
 
 47.86 
 
 0.022»4 
 
 VA 
 
 118.85 
 
 718100 
 
 49.52 
 
 0.02633 
 
 2 
 
 122 47 
 
 7»18.20 
 
 51.03 
 
 0.02787 
 
PLENUM WARM AIR HEATING 
 
 187 
 
 TABLE XXL 
 Column 2 figured from formula 54. 
 
 
 Velocity 
 
 of dry air at 60° escapinsr into the atmosphere 
 
 Pressure 
 
 througrh 
 
 any shaped orifice in any pipe or reservoir in 
 
 head in 
 
 which a 
 
 gfiven pressure is maintained. 
 
 Inches of 
 
 
 
 water 
 
 
 
 
 
 Feet per second 
 
 Feet per minute 
 
 1 
 
 
 29.04 
 
 1256.40 
 
 .2 
 
 
 29.67 
 
 1780 20 
 
 .3 
 
 
 86.25 
 
 2175.60 
 
 .4 
 
 
 41.86 
 
 2511.60 
 
 .5 
 
 
 46.80 
 
 2708.00 
 
 .6 
 
 
 51.26 
 
 3075.60 
 
 .7 
 
 
 65. 36 
 
 3321.60 
 
 .8 
 
 
 59.10 
 
 8546.00 
 
 .9 
 
 
 62.60 
 
 3756.00 
 
 1. 
 
 
 66.14 
 
 3968.40 
 
 1 1 
 
 
 69.36 
 
 4161. 60 
 
 1 2 
 
 
 72.44 
 
 4346.40 
 
 1 3 
 
 
 76 39 
 
 4523. 40 
 
 1.4 
 
 
 78.21 
 
 4692.60 
 
 1.5 
 
 
 80.96 
 
 4857.60 
 
 1 6 
 
 
 83.59 
 
 5015.40 
 
 1.7 
 
 
 86.16 
 
 5169.60 
 
 18 
 
 
 88.65 
 
 6319.00 
 
 1.9 
 
 
 91.27 
 
 6476.20 
 
 2. 
 
 
 93.42 
 
 5605.20 
 
 2.1 
 
 
 95.72 
 
 5743.20 
 
 2 2 
 
 
 97 96 
 
 5877.60 
 
 2 3 
 
 
 100 15 
 
 6009.00 
 
 2.4 
 
 
 102.29 ■ 
 
 6137.40 
 
 2 5 
 
 
 104.39 
 
 6263.40 
 
 2 6 
 
 
 106.43 
 
 6385.80 
 
 2 7 
 
 
 108.46 
 
 6507.60 
 
 2.8 
 
 
 110.43 
 
 6625.80 
 
 29 
 
 
 112.37 
 
 6742.20 
 
 3. 
 
 
 114.28 
 
 6856.80 
 
 3 1 
 
 
 116.15 
 
 6969.00 
 
 8 2 
 
 
 118. 00 
 
 7080.00 
 
 3 3 
 
 
 119. 81 
 
 7188.60 
 
 8 4 
 
 
 121.60 
 
 7296.00 
 
 8.6 
 
 
 123.36 
 
 7401.60 
 
 Finally, after considering the change of velocity that 
 takes place when the density changes with a constant tem- 
 perature, let the temperature change. With a constant 
 pressure, the volume changes with the absolute temperature 
 (460 + t). From this basis the values given in the second 
 
inn 
 
 HEATING AND VENTILATION 
 
 columns of Tables XX and XXI, which were figured for 60 
 degrees, would be multiplied by the relative factors for 
 the given temperature as expressed in column two. Table 
 XXII, to obtain the velocity of the exhausting air at any 
 pressure and any temperature. Having found the data 
 from Column 2, find other points of information concerning 
 velocities, pressures, weights and horse powers in moving 
 air by multiplying by the factors as given in the respective 
 columns. 
 
 TABLE XXII. 
 
 
 Factor for rel- 
 
 
 
 
 a> 
 
 ative vel. at 
 same pressure 
 also relative 
 
 Factor for 
 relative pres- 
 sure, also wt. 
 
 Factor for rel- 
 ative vel. to 
 move same 
 
 Factor for rel- 
 ative power to 
 
 a 
 •a 
 
 a 
 
 powers to 
 move same 
 vol. of air at 
 same vel. = 
 
 of air moved 
 at same ve- 
 locity = 
 
 wt. of air also 
 relative pres- 
 sure to pro- 
 duce the vel. to 
 
 move same 
 •w t. of air at 
 vel. in column 
 4 and pressure 
 
 a 
 
 
 460O + 60O 
 T 
 
 move same wt. 
 of air = 
 
 1 -^ Col. 3. 
 
 in column 4 = 
 factor in col- 
 umn 4 squared 
 
 / Wf. at any T 
 
 e- 
 
 '\Wt. at460o + B0o 
 
 
 80 
 
 .97 
 
 1.07 
 
 .93 
 
 .87 
 
 40 
 
 .98 
 
 1.04 
 
 .96 
 
 .93 
 
 60 
 
 .99 
 
 1.02 
 
 .98 
 
 .90 
 
 60 
 
 1.00 
 
 1.00 
 
 1.00 
 
 1 00 
 
 70 
 
 1.01 
 
 .98 
 
 1.02 
 
 1.04 
 
 80 
 
 1.02 
 
 .96 
 
 1.04 
 
 108 
 
 90 
 
 103 
 
 .94 
 
 106 
 
 1.18 
 
 100 
 
 1.04 
 
 .92 
 
 1.09 
 
 1.1» 
 
 125 
 
 1.06 
 
 .89 
 
 1.12 
 
 1.26 
 
 150 
 
 1.08 
 
 .85 
 
 1.18 
 
 1.80 
 
 175 
 
 1.10 
 
 .82 
 
 1.99 
 
 1.49 
 
 200 
 
 1 13 
 
 .79 
 
 1.27 
 
 1.61 
 
 250 
 
 1.17 
 
 .73 
 
 1.87 
 
 1.88 
 
 300 
 
 1 21 
 
 .68 
 
 1.47 
 
 2.10 
 
 860 
 
 1.25 
 
 .64 
 
 1.56 
 
 2.48 
 
 400 
 
 1.28 
 
 .60 
 
 1.67 
 
 2. 79 
 
 600 
 
 136 
 
 .64 
 
 1.86 
 
 8. 43 
 
 flOO 
 
 1.43 
 
 .49 
 
 2. 04 
 
 4 10 
 
 700 
 
 1.49 
 
 .45 
 
 2. 22 
 
 4.03 
 
 800 
 
 1.66 
 
 .41 
 
 2.44 
 
 696 
 
 124. Actual Amount of Air Exhnunted: — When air of any 
 pressure is exhausted from one receptacle to another through 
 an orifice, the actual velocity remains about the same as 
 the theoretical velocity, being slightly reduced by friction, 
 but the volume of air discharged Is greatly reduced because 
 
PLENUM WARM AIR HEATING 
 
 189 
 
 of the contraction of the stream just as it leaves the ori- 
 fice. The greatest contraction or least size of the jet is 
 located from the orifice a distance of about one-half the 
 diameter of the opening. A round opening is the most effi- 
 cient. Since the velocity is slightly reduced and the effec- 
 tive area of the opening reduced a still greater amount, the 
 actual amount of air exhausted in any given time will be 
 found by multiplying the theoretical amount by a constant 
 wihich is the product of the coefficient of reduced velocity 
 and the coefficient of reduced area. From tests by Weisbach 
 the following approximate values are quoted by the Sturte- 
 vant Company in Mechanical Draft, page 152. 
 
 Orifice in a thin plate, .56 
 
 •Short cylindrical pipe, .75 
 
 Rounded off conical mouth piece, .98 
 
 Conical pipe, angle of convergence 
 
 about 6°, .92 
 
 125. Results of Tests to Determine the Relation be- 
 tween Pressure and Velocity in Air Transmission: — In fan 
 
 construction the number of blades, the shape of the blades, 
 the sizes of the inlet and outlet openings, the shape and 
 size of the casement around the blades and the speed, all 
 have an effect upon the relation between the pressure and 
 the velocity of the air discharge. From recent tests con- 
 ducted in the Mechanical Engineering Department, Univer- 
 sity of Nebraska, the curves shown in Pig. 101, a, were ob- 
 
 12 
 
 
 
 
 
 
 
 
 
 
 
 
 5£ 
 
 H 
 
 si== 
 
 
 
 ri 
 
 ^ 
 
 K^ " 
 
 H 
 
 m 
 
 H 
 
 n 
 
 T 
 
 9 
 
 b' 
 cr 
 
 -A 
 
 Si 
 
 i?-^ 
 
 ^^ 
 
 ^ 
 
 
 
 w^ 
 
 n 
 
 
 
 ^ 
 
 b 
 a 
 
 .2 3 4 .5 
 RATIO OF OPENING 
 
 Fig. 101a. 
 
 .6 9 
 
190 
 
 HEATING AND VENTILATION 
 
 2 .3 4 5 
 RATD or OPENING 
 
 Fig. 101b. 
 
 tained. A Number 2 Sirocco blower was belted to an elec- 
 tric motor and delivered air to a horizontal, circular pipe 
 whose length was nine times the diameter. This pipe was 
 provided with reducing nozzles which varied the area of 
 discharge by -tenths from full opening to full closed. The 
 air tube was provided also with manometer tubes for static, 
 dynamic and velocity pressures, arranged with an adjustable 
 scale to read to either .01 or .002 inch of water. The gross 
 power was taken by wattmeter and the delivered power 
 from motor to fan was taken by dynamometer. In addition 
 to this, the frictional horse-power of the fan and motor 
 unit was obtained by removing the fan wheel from the 
 shaft and taking readings with all other conditions remain- 
 ing as nearly constant as possible. The friction power, 
 when deducted from tlie grcss power recorded by the watt- 
 meter, gave the readings for the net horse-power curve. 
 A galvanized iron intake, enlarged from the size of the 
 fan intake to a rectangle four square feet in area and 
 divided up by fine wires into rectangles the size of the 
 standard anemometer, was used to find the volume of air 
 moved per minute. This volume Is shown In the curve 
 C. F. M. To check the curve, the volume was calculated for 
 each opening by the Pitot tubes on the side of the experi- 
 mental pipe. 
 
PLENUM WARM AIR HEATING 191 
 
 To fully understand this article, refer to Art. 15 and note 
 that 4, Fig. 10, registers static pressure plus velocity pressure. This 
 sum may be called the dynamic pressure. Also, note that B reg- 
 isters only static pressure, i. e., that pressure which acts equally 
 in all directions and serves no usefulness in .moving the air. 
 Also, note that A — B = C, i. e., dynamic pressure minus 
 static pressure equa,ls velocity pressure. When applied in 
 the form shown by C, the pressure recorded is that due to 
 the velocity only. This is the form commonly used. Now 
 referring again to Fig. 101, A. Y. P. is that pressure re- 
 corded by C w.hen applied .to the air current at the fan out- 
 let, = air velocity pressure. P. V. P. is that pressure (ob- 
 tained by formulas 49 to 54) that would be shown on C if 
 the air were moving as fast as the tip of the blades on the 
 fan wheel, = peripheral velocity pressure, P. T. P. = 1 In 
 Fig. 101, b. D. P. is the dynamic pressure and would be 
 found by applying A only. 8. P. is the static pressure as 
 stated above. 
 
 In the tests, the *fan was run at constant speed and the 
 dynamic, static and velocity pressures were measured about 
 midway of the pipe at full opening. Then the openings were 
 changed by ten per cent, reductions until the piipe was fully 
 closed and similar readings taken for each reduction. T-hese 
 readings were plotted in the upper set of curves. Because 
 of the fact that the manometer tubes were located some 
 distance from the end of the experimental pipe, there was a 
 static pressure, ah, recorded at full opening. This caused 
 the dynamic pressure to be raised a corresponding amount, 
 a' b'. If the tubes had been loca.ted at the delivery end of 
 the pipe the static and dynamic pressures would have fallen 
 from & and 6' to a and a'. The peripheral velocity of the 
 wheel was 2828 feet per minute and the corresponding pres- 
 sure, with corrections for temperature, was found by formula 
 52 to be .5 in. of water. The relation between this peripheral 
 velocity pressure and the air velocity pressure is shown in 
 the lower set of curves. In applying the lower curves to . 
 fan practice they are very valuable in showiing the relation 
 between the velocity of the wheel circumference and that of 
 the air leaving the wheel. Notice that the relation between 
 the observed air velocity pressure and the calculated periph- 
 eral velocity pressure at full opening and discharging into 
 free air, is 1.20 : 1. Since the velocities vary as the square 
 roots of the pressures (v = V2gh), we find the velocities to 
 
192 HEATING AND VENTILATION 
 
 be VI. 20 : VI = 1.1 : 1. That is to say, for this fan the air 
 velocity at the free opening of the fan is 1.1 times the per- 
 ipheral velocity of the wheel. The corresponding velocity 
 of the air from the average steel plate fan as reported by 
 the American Blower Company and as shown on the lower 
 chart, is VAb : VI = .67 : 1, or .61 of the speed of the 
 Sirocco fan for the same wheel speed. The resistance offered 
 by the ducts in the average plenum heating system is 
 equivalent, we will say, to that offered by a 75 per cent, 
 gate opening in the experimental pipe. According to the 
 diagrams for this opening, the ratio A. T. P. to P. 7. P is 
 1.04 for the Sirocco fan and .25 for the steel plate fan. The 
 ratio of the air velocities to the peripheral velocities then 
 are, respectively, V04 : Vir= 1.02 : 1 and V.25 : Vir= .5 : Ir 
 These show that with a 75 per cent, opening and with the 
 fan wheels running with a peripheral velocity of 3000 feet 
 per minute, the air would be entering the ducts at 
 1.02 X 3000 = 3060, and .5 X 3000 = 1500 feet per minute 
 respectively for the two types. Conversely, if it were de- 
 sired to ihave the air enter the ducts at 1500 feet per minute, 
 with a resistance equivalent to a 75 per cent, opening, the 
 fan wheels would have peripheral speeds of 1500 H- 1.02 = 
 1470, and 1500 -7- .5 = 3000 feet per minute respectively. 
 From these we obtain the wheel diameter for any given 
 R. P. M. Other models of the Sirocco and multiple blade 
 type of fans show less variation from the steel plate fan 
 than the one under consideration. It will be seen from the 
 above that the late change in construction from the steel 
 plate type to the multiple blade type permits a smaller 
 wheel and fan to be installed for any given work. This can 
 be shown to be a desirable change. From formula 61, it is 
 seen that the power required to drive a fan varies as the 
 fifth power of the diameter and as the cube of the speed. 
 With any given amount of air, Q, required per minute, the 
 power will be reduced very greatly by reducing the diam- 
 eter or by reducing the speed of the fan. Manufacturers' 
 catalogs should be consulted for capacities, sizes, etc. Such 
 tables are supplied by the trade in form for easy reference 
 and use. 
 
 126. Work Performed and Horne-Poirer Consamed In 
 Movlnisr Air; — The foot pounds of work performed in moving 
 air equals the product of the moving force into the distance 
 
PLENUM WARM AIR HEATING 
 
 193 
 
 moved throug-h in any given time. Let pa — pb = px := 
 moving force of the air in ounces per square inch and A := 
 cross-sectional area of current in square inches. Then the 
 pounds per square inch will be px -^ 16, and the foot pounds 
 of work, W, and the horse-power, H. P., absorbed per min- 
 ute by the current of air in being moved, will be 
 
 W = 
 
 H. P. = 
 
 60 Px A u 
 
 16 
 3.75 Px Av 
 
 33000 
 
 = 3.75 Px A V 
 
 = ,000114 Px A V 
 
 (55) 
 
 (56) 
 
 This formula may be stated in terms of the cubic feet of 
 air discharged per miinute. Take the relation between px 
 and hw at 60 degrees as 12 p* = 16 X .433 hw; also, A X v = 
 144 Q' when Q' = cubic feet of air discharged per second 
 and, from formula 54, hw = v^ -^ 4356. Then by substituting 
 in formula 56 
 
 3.75 X .577 X v^ X 144 Q' 
 
 H. P. = 
 
 4356 X 33000 
 
 = .0000022.172 g' (57) 
 
 Application 1. — Let the effective area of a stream of dry 
 air at 60 degrees, exhausting between the pressures of pa = 
 1% ounces and p = V2 ounce, be 400 square inches. What is 
 the work performed per minute and the horse-power con- 
 sumed? (For velocity see second column Table XX). 
 
 W = 3.75 X (1% — %) X 400 X 87 = 130500 foot pounds, 
 and H. P. = .000114 X (11/2 — V2) X 400 X 87 = 3.96. 
 
 Application 2. — A fan is delivering 1000000 cubic feet of 
 aiir per hour to a heating system with a pressure of % 
 ounce. What is the theoretical horse-power of the fan? 
 H. P. = .0000022 X (74.5)2 x 277 — 3.38 
 
 127. Actual Horse-Po^ver Consumed in Moving Air by 
 Blower Fans: — The theoretical horse-power of a fan is that 
 horse-power necessary to move the air. This amount is al- 
 ways exceeded, however, because of the ineflficiency of the 
 blower. Let E = efficiency of the blower, then formulas 56 
 and 57 become 
 
 H. P. = 
 
 n. p. = 
 
 .000114 Px A V 
 
 E 
 .0000022 r2 Q' 
 
 E 
 
 (58) 
 
 (59) 
 
194 HEATING AND VENTILATION 
 
 The value of E varies with the peripheral velocity and 
 the percentage of free outlet. When subjected to ordinary 
 service, the efficiency of the fan or blower may vary any- 
 where from 10 to 40 per cent. Probably a safe figure, for 
 an efficiency not definitely known, is 30 per cent, for cen- 
 trifugal fans in heating systems. Later improved types, 
 such as the Sirocco and Multivane fans, will be found from 
 40 per cent, to 60 per cent, efficient. See also Art. 131. 
 
 128. Carpenter's Practical Rules: — Many experiments 
 have been run upon blower fans to determine their capacity 
 in cubic feet of aiir delivered per minute and to determine 
 the horse-pow^er necessary to move this air. Probably as 
 satisfactory as any are the rules quoted by Prof, Carpenter 
 in H. & V. B., Art. 162, as follows: 
 
 Rule. — "The capacity of fans, expressed in cubic feet of air de- 
 livered per minute, is equal to the cube of the diameter of the fan 
 wheel in feet multiplied by the number of revolutions, multiplied by ■ 
 a coefficient having the following approximate value : for fan with 
 single inlet delivering air without pressure, 0.6; delivering air with 
 pressure of one inch, 0.5; delivering air with pressure of one ounce, 
 0.4; for fans with double inlets, the coefficient should be increased 
 about 50 per cent. For practical purposes of ventilation, the ca- 
 pacity of a fan in cubic feet per revolution uHll equal A the cube 
 of the diameter in feet." 
 
 Rule. — "The delivered horse-power required for a given fan or 
 blower is equal to the 5th power of the diameter in feet, multiplied 
 by the cube of the number of revolutions per second, divided by one 
 million and multiplied by one of the folloxcing coefficients : for free 
 delivery, 30; for delivery against one ounce pressure, 20; for de- 
 livery against two ounces of pressure, 10." 
 
 The two above rules stated as formulas are as follows: 
 
 -V 
 
 Cu. ft. of air per min. 
 
 (60) 
 
 C X R. P. M. 
 
 where D = the diameter in feet and C = the coefflclent, .4 
 for pressure of one ounce, .5 for pressure of one incli, and 
 .6 for no pressure. 
 
 Z)» (ft. P. 8.)» X C. 
 
 H.P.= (61) 
 
 1000000 
 
 where C = 30 for open flow, 20 for one ounce and 10 for two 
 ounces pressure respectively. Tliese two rules may be 
 
PLENUM WARM AIR HEATING 
 
 195 
 
 checked up by sizes obtained from catalogs. They give, 
 however, in ordinary calculations, very close approxima- 
 tions. 
 
 2Sfote. — In using formula 60 for Sirocco or Multivane 
 fans, the coefficient, C, becomes 1.1, 1.2 and 1.3 respectively. 
 Likewise, for formula 61 it becomes 100, 95 and 90 respec- 
 tively. 
 
 129. If it is Desired to Obtain the Approximate Sizes of 
 tlie Different Parts of the Fan Wheel and Opening, the same 
 can be found by the following table which gives good aver- 
 age values for steel plate fans. For more complete data 
 see tables in catalogs. 
 
 TABLE XXIIL* 
 
 Diameter wheel 
 
 Diameter inlet, single 
 
 Diameter inlet, double 
 
 Dimensions of exhaust 
 
 Width of wheel at outer ciTCumference 
 
 Least radial distance from wheel to casing 
 
 Maximum radial distance from wheel to 
 
 casing 
 Least side distance from wheel to casing 
 
 D 
 
 
 
 .66 D 
 
 
 
 .50 D 
 
 
 
 .60 D 
 
 X 
 
 .50 D 
 
 .50 D 
 
 to 
 
 .60 D 
 
 .08 D 
 
 to 
 
 .16 D 
 
 .50 D 
 
 to 
 
 1.00 D 
 
 .05 D 
 
 to 
 
 .08 D 
 
 Occupied space 
 
 of 
 full-housed fan 
 
 Length 
 
 Width 
 
 Height 
 
 Discharge vert. 
 
 1.7 D 
 
 .7 D 
 1.5 D 
 
 Discharge horiz. 
 
 1.5 D 
 
 .7 D 
 
 1.7 D 
 
 *This table does not apply to Sirocco or Multivane fans. 
 
 130. Fan Drives: — Fans for heating and ventilating 
 purposes, may be driven 'by simple horizontal or vertical, 
 throttling or automatic steam engines, or by electric mo- 
 tors; the principal advantage of the latter being the clean- 
 liness. In either case the power may be direct-connected 
 or belt-connected to the fan. Direct-connected fans make 
 a very neat arrangement, but they require slow speed 
 engines or motors, occasionally making them so large as to 
 be prohibitive. Where engines are used, any unusual noise 
 or pounding in the parts is frequently carried through the 
 fan to the air current and up to the rooms. Belted drives 
 may run at higher speeds but they must of necessity be set 
 Off from the fan ten feet or more to get good belt contact. 
 
196 HEATING AND VENTILATION 
 
 Chain drives that are fairly quiet in operation will permit 
 the same reductions of speed and will allow the engine to 
 be set very close to the fan. Where a reduction is made in 
 the space between the engine and the fan, it had best be 
 made in the last named way. 
 
 In deciding between an engine drive and a motor drive 
 for use with steam coils, the amount of steam used In the 
 engine should not be considered a loss, since this is all 
 exhausted into the heater coils and is used instead of live 
 steam from the boilers. An engine of high efficiency is not 
 so essential either, unless the exhaust steam cannot be 
 used. Enclosed engines running in oil are preferred when 
 used on high speeds. The belt when used should, if pos- 
 sible, have the tight side below to increase the arc of 
 contact. 
 
 Electric motors have more quiet action and in special 
 cases should be specified. They would generally be speci- 
 fied for installations where the exhaust steam could not 
 be used, as in systems for ventilating only. This method of 
 driving the fan is more satisfactory in many ways but its 
 operation is usually more expensive. Direct current motors 
 are desirable, whenever they can be applied, because of the 
 convenience in obtaining changes of speed and because the 
 motors may easily be direct-connected to the fan. Alter- 
 nating current motors are used but they usually run at 
 higher speeds, requiring reduction drives and are not so 
 satisfactory in regulation. Speed reductions of 40 per cent, 
 may be had with alternating current machines where re- 
 quired. 
 
 131. Speed of the Pan: — A blower fan, exhausting into 
 the open air, will deliver air with a linear velocity slightly 
 below the peripheral velocity of the fan blades, but if this 
 same fan be connected to a system of ducts and heater 
 coils, the linear velocity of the air becomes much less be- 
 cause of the increased resistance and the lag or slip that 
 takes place between the fan blades and the moving air. In 
 the average heating system this slip may be as great as 
 40 to 50 per cent. See Art. 127. It is customary, therefore, 
 in applying blowers to heating systems, to consider the 
 linear velocity of the air as it leaves the fan to be one- 
 half that of the periphery of the fan blades. Since the 
 velocity of the air upon delivery from the fan should not 
 exceed 1800 to 2500 feet per minute, the outer point on the 
 
PLENUM WARM AIR HEATING 
 
 197 
 
 fan blades should not be expected to move faster than 3600 
 to 5000 feet per minute. Knowing- this peripheral velocity, 
 the revolutions per minute may be selected and the diameter 
 obtained. 
 
 In all direct-connected fans the revolutions per minute 
 must agree with that of the engine or motor. In belted fans, 
 however, this restriction need not apply. It is found that 
 ordinary blower fans running at high speeds are very noisy 
 and so practice has determined largely the number of revo- 
 lutions to use. Speeds used by the American Blower Com- 
 pany in the latest type of Sirocco fan are given in the fol- 
 lowing table. 
 
 TABLE XXIV. 
 
 Speeds of Blower Fans in R. P. M. 
 
 Diameter of 
 
 
 Differential pressures. 
 
 
 wheel in 
 
 
 
 
 Inches. 
 
 1-2 oz. 
 
 3-4 oz. 
 
 1 oz. 
 
 11-2 0Z. 
 
 2oz. 
 
 18 
 
 538 
 
 660 
 
 762 
 
 933 
 
 1076 
 
 24 
 
 404 
 
 495 
 
 572 
 
 700 
 
 807 
 
 38 
 
 269 
 
 330 
 
 381 
 
 466 
 
 588 
 
 48 
 
 202 
 
 248 
 
 286 
 
 350 
 
 403 
 
 60 
 
 161 
 
 198 
 
 228 
 
 280 
 
 322 
 
 72 
 
 134 
 
 165 
 
 190 
 
 233 
 
 269 
 
 84 
 
 115 
 
 142 
 
 163 
 
 200 
 
 231 
 
 90 
 
 107 
 
 132 
 
 152 
 
 186 
 
 214 
 
 In the recent developments for blower fans the num- 
 ber of blades is increased and the depth of the blades is 
 diminished, making the operation of the fan somewhat sim- 
 ilar to that of the steam turbine. These fans seem to de- 
 velop a much higher efficiency under tests than the ordi- 
 nary paddle wheel fan. As a result, the diameter of the 
 w.heel may be smaller with the same revolutions for a given 
 work or the wheel may have the same diameter with a re- 
 duced speed for a given work. Tables 50, 51 and 52, 
 Appendix, give a summary of the latest catalog data. 
 
 132. Size of the E^nsinc: — In obtaining the size of the 
 
198 HEATING AND VENTILATION 
 
 engine, it will be necessary first to assume the horse-power. 
 This had better be taken as a certain ratio to that of the 
 fan. Probably a safe value would be 
 
 E. P. of the engine = | //. P. of the fan (62) 
 
 Having obtained the horse-power of the engine, it will 
 next be necessary to find the size of the cylinder. Let pa = 
 the absolute initial pressure of the steam in the cylinder, 
 i. e., atmospheric pressure -|- gage pressure, and r = number 
 of the steam expansions in the cylinder, i. e., reciprocal of 
 the per cent, of cut-off. The cut-off allowed for high speed 
 engines in economical power service, approximates 25 per 
 cent, of the stroke, but in engines for blower work this 
 may be taken at 50 per cent, or half stroke. Find the 
 mean effective pressure, pi, by the formula 
 
 1 + hyperbolic logarithm of r 
 
 Pi = Pa back pressure (63) 
 
 r 
 
 Next, let I = lengtli of the stroke in inches and ^ = number 
 of revolutions per minute and apply the formula 
 
 2 pi I A N 
 
 n.P.= (64) 
 
 12 X 33000 
 
 and find A, the area of the cylinder, from which obtain rf, 
 the diameter of the cylinder. In applying formula 64 it 
 will be necessary to assume I. This, for engines operating 
 blowers, may be taken 
 
 2 i 2V = 200 to 400 
 
 Formula 63 assumes that the steam in the cylinder expands 
 according to the hyperbolic curve, pv = p'v'. For values 
 of hyperbolic or Naperian logarithms see Table 5, Appendix. 
 It also assumes no loss In the recompression of 
 the steam in the cylinder. Both assumptions are only 
 approximately correct, but the errors are sliglit and to a 
 certain degree, tend to neutralize each other, hence the 
 final results from this formula are near enough to be used 
 for approximate calculations. For such work as this, r 
 may be taken from 2 to 3, the former being probably pre- 
 ferred. The back pressure should not be taken higher than 
 5 pounds gage (19.7 pounds absolute), since this is deter- 
 mined by the pressure in the coils carrying exhaust steam. 
 This pressure, in o-rdinary service, drops nearly to atmos- 
 pheric pressure. 
 
PLENUM WARM AIR HEATING 
 
 19» 
 
 lln finding the dianaeter and length of the stroke of the 
 cylinder, it may 'be necessary to make two or more trial 
 applications before a good size can be obtained. Owing 
 to the fact that the initial steam pressure is frequently 
 low, say not to exceed 40 or 50 pounds, the mean effective 
 pressure is small, thus calling for a cylinder of large 
 diameter. In such cases, the diameter of the cylinder may 
 be greater than the length of the stroke. In cases where 
 high pressure steam is used, say 100 pounds gage, the 
 diameter of the cylinder would be less than the length of 
 the stroke. 
 
 Application 1. — Assume the following to fit the design 
 shown in Figs. 104, 105 and 106: good dry steam from the 
 boiler to the engine at 100 pounds gage pressure; direct- 
 connected engine to fan, running at 180 revolutions per 
 minute and delivering 2000000 cubic feet of air per hour 
 to the building; steam cut-off in the cylinder at one-third 
 stroke and used in the coils at 5 pounds gage pressure; 
 find the sizes and horse-powers of the fan and engine unit. 
 Applying formulas 60, 61, 62, 63 and 64 
 
 D. of fan = 
 
 '4 
 
 2000000 
 
 = 5.5 feet. 
 
 H. P. of fan = 
 
 60 X 1.1 X 180 
 
 (5.5)5 X (3)3 X 87 
 
 1000000 
 
 = 11 
 
 Check the fan size and horse-power by Table 52, Appendix. 
 
 H. P. 
 
 of Engine = j X 11.8 = 15.7 
 
 Pi = 115 
 
 1 + 1.0986 
 
 )- 
 
 19.9 = 60.5 pounds per 
 250 
 
 square inch. Now if 2 I N = 250, then I = 
 
 360 
 
 = .69 feet = 
 
 8.25 inches and A = 
 
 15.7 X 12X 33000 
 
 = 34.5 square 
 
 2 X 60.5 X 8.25 X 180 
 
 inches = 6.625 inches diameter. The engine would be 6.625 
 inches X 8.25 inches, at 180 R. P. M. 
 
 Application 2. — Assuming the values as in application 1, 
 excepting that the steam is taken from a conduit main 
 under a pressure of, say 30 pounds per square inch gage, 
 that 2 I N =: 300, and that the steam cut-off in the cylinder 
 Is at one-half stroke. Then, as before, D of fan = 5.5 feet; 
 
200 HEATING AND VENTILATION 
 
 n. p. of fan = 11.7; and 77. P. of engine = 15.7; the mean 
 effective pressure is, liowever, 
 
 1 + .6931 
 Pi = 45 / ) — 19.9 = IS. 2 pounds per sq. in. 
 
 = ,5 ( ^ )- 
 
 15.7X12X33000 
 
 and A = = 95 square inches. 
 
 2 X 18.2 X 10 X 180 
 
 Size of engine would be 11 inclies X 10 inches, at 180 
 R. P. M. 
 
 133. Piping: Connections around Heater and KnKlnet — 
 
 Where the fans are run by steam power it is considered 
 best to reduce the pressure of the steam by a pressure re- 
 ducing valve before allowing the live steam to enter the 
 coils. Where this reduction is made to 5 pounds or below, 
 it may be entered into the same main with the exhaust 
 steam from the engine, if desired; the back pressure valve 
 on the exhaust steam line providing an outlet to the at- 
 mosphere in case the pressure should run above the 5 
 pounds allowable back pressure. If the value of the back 
 pressure is increased much above 5 pounds, the efficiency 
 of the engine is seriously affected. In many installations 
 where the condensation from the live steam is desired free 
 from oil, a certain number of coils are tapped for exhaust 
 steam and this condensation trapped to a waste or sewer, 
 the other coils delivering to a receiver of some sort for 
 boiler feed or other purposes as may be required. 
 
 Every system should be fully equipped with pressure 
 reducing valves, back pressure valves, traps and a sufficient 
 numiber of globe or gate valves on the steam supply, and of 
 gate valves on the returns to make the system flexible and 
 responsive to varying demands. Figs. 102 and 103 show a 
 typical plan and elevation for such connections. Some en- 
 gineers advocate lifting the returns about 20 or 30 inches 
 as shown at A and B to form a water seal for each sec- 
 tion, thus making them independent in their action. This, 
 in some cases where the coils are very deep, would be a 
 benefit. 
 
 134. Application to ««chool niiildinp:: — The three follow- 
 ing figures and summary show the results of an applica- 
 tion of the above to a school building. The summary. 
 
PLENUM WARM AIR HEATING 
 
 201 
 
 Table XXV, gives in compact form such calculated results 
 as admit of .tabulation. Most of the applications through- 
 out Chapters X, XI and XII, also refer to this same building. 
 The plans show the double-duct system, with plenum 
 chamber and ducts laid just below the basement floor. The 
 small arrows show the heat registers and vent registers for 
 each room. The same stack which served as a heat car- 
 
 (i)TRAP 
 
 R?3;5?» 
 
 |ENGlNi: I 
 
 OSTEAM 5tPAf»T0« 
 
 PR£b5.Rta VALVE 
 
 Fig. 102. 
 
 TO 4TM05PHER£ 
 
 BACK PRE55U«[ VMVE 
 
 r.i 
 
 * GATE »»Ut5 -^ i^aW 
 
 Fig. 103. 
 
 fr 
 
 rier to the room on one floor serves as the vent stack 
 for the corresponding room on the floor above, there being 
 a horizontal cut-off between them. The cut-off at the heat 
 register should be so curved as to throw the current of 
 heated air into the room with the least possible friction or 
 eddy currents, as shown in Fig. 22. 
 
202 
 
 HEATING AND VENTILATION 
 
 TABLE XXV. 
 Data Sheet for Figs. 104, 105, 106. 
 
 Room 
 
 n 
 
 Heat loss in B.t.u. per 
 hour from room not 
 counting ventilation 
 
 c 
 
 
 
 o 
 
 O u 
 
 w 
 
 •0 
 
 1 
 
 o 
 
 u 
 
 Cubic feet of air needed 
 per hour as a heat 
 carrier 
 
 •p 
 
 "3 
 
 « 
 
 c 
 
 w 
 
 u 
 
 *^ 
 
 6e 
 a 
 u 
 
 o 
 d 
 
 o| 
 
 03 . 
 
 t. OQ 
 
 o3 
 *^£ 
 
 03 ^ 
 
 C 
 
 05 
 « 
 
 o: 
 
 "S 
 OS 
 
 w 
 
 (U 
 .£3 
 O 
 
 a 
 d 
 !^ 
 
 o 
 09 
 
 00 
 
 «^ 
 O 
 
 N 
 
 m 
 
 1 
 
 1 
 
 V/t 
 VA 
 VA 
 VA 
 
 "i\V 
 VA 
 
 VA 
 
 51,520 
 74.200 
 29,400 
 86,260 
 42,210 
 85,360 
 
 16'.520 
 16,520 
 42,210 
 
 
 
 40.185 
 57.876 
 22,982 
 28,288 
 82,923 
 27,578 
 
 i2';886 
 12,885 
 82,923 
 
 2 
 
 i" 
 
 1 
 1 
 1 
 
 i' 
 
 1 
 
 1 
 
 822 
 
 184 
 226 
 268 
 220 
 
 103 
 108 
 263 
 
 18x20 
 
 "lYxis 
 
 17x21 
 17x25 
 17x21 
 
 Y3"xi8 
 13x18 
 17x25 
 
 18x18 
 
 2 
 
 
 
 
 8 
 
 
 
 17x13 
 
 4 
 
 
 
 17x18 
 
 6 
 
 
 
 17x18 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 »-"- 
 
 17x18 
 
 isx 8 
 
 18x 8 
 
 10 
 
 
 
 17x13 
 
 
 
 
 
 Totals. 
 
 
 844,190 
 
 
 
 268,466 
 
 
 
 
 
 11 
 
 1 
 
 12 
 
 5i 
 
 18 
 
 VA 
 
 14 
 
 VA 
 
 15 
 
 VA 
 
 16 
 
 VA 
 
 17 
 
 1 
 
 18 
 
 1% 
 
 19 
 
 IH 
 
 20 
 
 VA 
 
 Totals. 
 
 
 81,180 
 115,430 
 40,600 
 66,370 
 63,840 
 48,440 
 51,940 
 23,660 
 28,660 
 63,840 
 
 540,100 
 
 
 
 63,281 
 99,039 
 31,775 
 47,507 
 54.775 
 89.672 
 40.518 
 19,377 
 18.466 
 49,796 
 
 2 
 
 4 
 1 
 2 
 2 
 
 1 
 2 
 1 
 1 
 2 
 
 506 
 792 
 278 
 880 
 488 
 817 
 824 
 166 
 148 
 898 
 
 17x24 
 17x18 
 17x26 
 17x18 
 17x21 
 17x80 
 13x20 
 13x20 
 13x20 
 17x18 
 
 126,973 
 44,585^ 
 60,907 
 70,221 
 50,862 
 
 10 
 10 
 10 
 10 
 5 
 
 24,843 
 
 5 
 
 
 
 
 
 467,189 
 
 
 
 
 17x13 
 17x18 
 17x18 
 17x18 
 17x13 
 17x13 
 18x13 
 18x18 
 18x18 
 17x18 
 
 21 
 
 
 22 
 
 
 28. 
 
 
 24 
 
 
 25 
 
 
 26 
 
 
 27 
 
 J 
 
 28 
 
 % 
 
 29 
 
 
 80 
 
 
 Totals. 
 
 
 81.130 
 17,160 
 103,460 
 17,160 
 81,900 
 48,680 
 93,030 
 28.420 
 37,;«0 
 64,110 
 
 698,961 
 
 
 
 63.281 
 13.377 
 88.764 
 13.377 
 27,447 
 41,682 
 79,819 
 22,16;i 
 29,156 
 42,206 
 
 2 
 
 1 
 2 
 1 
 1 
 2 
 2 
 2 
 1 
 2 
 
 606 
 107 
 710 
 107 
 220 
 
 ms 
 
 im 
 
 177 
 2:38 
 
 s;58 
 
 17x24 
 13x18 
 21x28 
 13x13 
 17x21 
 13x20 
 17x80 
 13x15 
 17x21 
 13x20 
 
 
 
 118.800 
 
 10 
 
 85.189 
 
 53.4;}8 
 
 102.a38 
 
 10 
 10 
 10 
 
 
 
 
 
 
 
 421,272 
 
 
 
 
 17x18 
 18x 8 
 17x18 
 13x 8 
 17x18 
 13x13 
 17x18 
 18x 8 
 17x18 
 13x13 
 
 Vent registers taken same size as heat registers. For sizes of 
 engine, fan, heater colls, etc., see applications under these heads 
 
PLENUM WARM AIR HEATING 
 
 203 
 
 «A 
 
 O en Q 
 
204 
 
 HEATING AND VENTILATION 
 
 Fig. 105. 
 
PLENUM WARM AIR HEATING 
 
 205 
 
 0) 
 
 O > 
 
 < 
 
 
 (/) 
 
 3 
 
 r K t" > 
 ? -'^^ 
 
 ^ Cu Z O 
 O Q 
 
 'C o 
 
 W (0 
 
 M M 
 
 M°°^ 
 
 1=1 M 
 
 H M 
 
 •^^"o^ 
 
 '^is: 
 
 M M M~^ 
 
 :/ 
 
 I 
 
 "\ /■ 
 
 i 
 
 "\ 
 
 "^ 
 
 ~\ 
 
 o a 
 
 i 
 
 Pig. 106. 
 
 ^=-! I=t t^t"^" 
 
 L 
 
 s 
 
 \ 
 
 :/ \: 
 
 i^ 
 
 s 
 
 M. 
 
 M M ^M-^ 
 
 i 
 
 tl 
 
 1 
 
206 HEATING AND VENTILA.TION 
 
 REFERENCES. 
 References on Mechanical Warm Air Heatlngr. 
 
 Techxical Books. 
 
 Snow, Furnace Heating, p. 99. Monroe, Steam Heat, d Tent., 
 p. 124. Carpenter, Heating and Ventilating liuihUngs, p. 333. 
 Hubbard, Power, Heating and Tetitilation, pages 525 and 551. 
 
 Technical Periodicals. 
 
 Engineering Review. Ventilating and Air Washing Appar- 
 atus Installed in the Sterling- Welch Building, Cleveland, 
 O., Jan. 1910, p. 38. Steam Heat, and Vent. Plant Required 
 for Addition to the Hotel Astor, New York, March 1910, p. 
 27. Heating and Ventilating Plant of the Boston Safe De- 
 posit and Trust Company's Building, C. L. Hubbard, April 
 1910, p. 37. Heating and Ventilating Installation on the 
 Burnet St. School, Newark, N. J., Jan. 1909, p. 20. Heating 
 and Ventilating the New Jersey State Reformatory, Sept. 
 1909, p. 27. Comparison of Heat, and Vent. Plants Installed 
 in Chicago Schools and Buildings at Various Periods, T. J. 
 Waters, June 1906, p. 14. Heating and Ventilating of 
 Schools, F. G. McCann, June 1906, p. 11. The Heating and 
 Ventilation of Schools, Dec. 1904, p. 1; March 1905, p. 4; 
 Sept. 1905, p. 1; Oct. 1905, p. 5. Note: — The last two articles 
 taken together comprise a complete series of the heating 
 and ventilating of the schools of Nev/ York City. Machinery. 
 Fans, C. L. Hubbard, Oct. 1906, p. 49; Nov. 1905, p. 109; 
 Dec. 1905, p. 165. Heaters for Hot Blast and Ventilation, 
 C. L. Hubbard, March 1907, p. 353. The Heating and Ven- 
 tilation of Machine Shops, C. L. Hubbard. Sept. 1907, p. 1. 
 Heating and Ventilating Offices in Shops and Factories, C. 
 L. Hubbard, Feb. 1910, p. 437. Fans, Machinery's Reference 
 Series, No 39. The Heating and Tentilating Magazine. Figuring 
 Flow of Air in Metal Pipes bv Chart, B. S. Harrison, Dec. 
 1905, p. 1. Flow of Air in Metal Pipes, J. H. Kinealy, July 
 1905, p. 3. Friction of Bends in Air Pipes, J. H. Kinealy, 
 Sept. 1905, p. 1. A Test of Hot Blast Heating Coils, March 
 1905, p. 1. Simplifying the Installation and Operation of 
 School Heating and Ventilating Apparatus, S. R. Lewis, July 
 1908, p. 10. A Rational Formula Covering the Performance 
 of Indirect Heating Surface, Perry West, March 1909, p. 1. 
 Charts Showing the Performance of Hot Blast Coils, B. S. 
 Harrison, Oct. 1907, p. 23. Loss of Pressure in Blowing Air 
 through Heater Coils, with New Formula, E. M. Shealy, 
 Nov. 1911. The Engineering Magazine. Modern Systems for 
 the Ventilation and Tempering of Buildings, Percival R. 
 Moses, Feb. 1908. Domestic Engineering. Practical Sugges- 
 tions about Blower Systems for Shop Heating, F. R 
 Still, Vol. 46. No. 4. Jan. 23, 1909, p. 100; Vol. 46, No. 
 5, Jan. 30, 1909. p. 125. Trans. A. 8. H. d V. E. Supplementing 
 Direct Radiation by Fans, Vol. X, p. 286. Methods of Test- 
 
PLENUM WARM AIR HEATING 
 
 20t 
 
 Ing Blowing Fans, R. C. Carpenter, Vol, VI, p. 69. Some 
 Experlmients with the Centrifugal Fan, W. S. Monroe, Vol. 
 V, p. 117. The Metal Worker. Heating and Ventilating Willard 
 Parker Hospital, New York, July 6, 1907, p. 43. New Yo.rk Stock 
 Exchange, Aug. 5, 1905. p. 55. Fans, serial article beginning 
 May 2, 1908. p. 44. Heating and Ventilating a Factory, Sept. 
 12, 1908, p. 45. Obviating Noise in Fan Systems, serial begin- 
 ning Oct. 31, 1908, p. 52. Heating Messiah Home, Fordham, N, 
 Y., Nov. 21, 1908. p. 37. Filters for Air Supply, serial begin- 
 ning Nov. 28, 1908, p. 44. Heating Christian Science Church, 
 Boston, May 9, 1908, p. 35. Ventilation by Individual Air Ducts, 
 Frederick Bass, June 7, 1912. Railway Age Gazette. Heating Plant 
 for Mill, Nov. 13, 1908, p. 1369. The Engineering Record. A 
 Formula for Indirect Heating. Dec. 13, 1909. Temperatures 
 for Testing Indirect Heating Systems, W. W. Macon, Feb. 2, 
 1907, p. 135. Performance of Hot Blast Heating Coils, Jan. 
 28, 1905. Some Features of Indirect Heating, May 27, 1905. 
 Heating and Ventilating in the Carnegie Residence, N. Y., 
 Oct. 3, 1903, Vol. 48, p. 403. Ventilating and Heating the 
 Rochester Athenaeum & Mechanics Institute, July 19, 1902, 
 Vol. 46, p. 60. Poicer. Horse-Power of a Fan Blower, Alibert 
 E. Guy, June 13, 1911. Heating and Ventilating System of 
 the Ritz-Carlton Hotel, Charles A. Fuller. Mar. 19, 1912. 
 Ventilating System for Small Schools, Charles A. Fuller, 
 Dec. 10, 1912. 
 
CHAPTER XIII. 
 
 DISTRICT HEATING OR CENTRALIZED HOT WATER 
 AND STEAM HEATING. 
 
 GENERAL. 
 
 135. HeatlnpT Residences nnd Business Blocks from a 
 central station is a method that is being employed in many 
 cities and towns througliout the country. The centralization 
 of the heat supply for any district in one large unit has an 
 advantage over a number of smaller units in being able to 
 burn the fuel more economically, and in being able to re- 
 duce labor costs. It has also the advantage, when in con- 
 nection with any power plant, of saving the heat which 
 would otherwise go to waste in the exhaust steam and stack 
 gases, by turning it into the heating system. The many 
 electric lighting and pumping stations around the country 
 give large opportunity in this regard. Since the average 
 steam power plant is very wasteful in these two particulars, 
 any saving that might be brought about should certainly be 
 sought for. On the other hand, however, a plant of this 
 kind has the disadvantage in that it necessitates transmit- 
 ting the heating medium through a system of conduits, which 
 generally is a wasteful process. The failure of many of the 
 pioneer plants has cast suspicion upon all such enterprises 
 as paying investments, but the successful operation of many 
 others shows the possibilities, where care is exercised in 
 their design and operation. 
 
 136. Important Considerations In Central Station Heat- 
 ing:— In any central heating system, the following consider- 
 ations will go far towards the success or the failure of the 
 enterprise: 
 
 First. — There should be a demand for the heat. 
 
 Second. — The plant should be near to the territory heated. 
 
 Third. — There should be good coal and water facilities at 
 the plant. 
 
 Fourth. — The quality of all the materials and the Instal- 
 lation of the same, especially in the conduit concerning in- 
 
DISTRICT HEATING 209 
 
 sulation, expansion and contraction, and durability, are 
 points of unusual importance. 
 
 Fifth. — The plant must be operated upon an economical 
 basis, the same as is true of other plants. 
 
 Sixth. — The load-factor of the plant should be high. This 
 is one of the most important points to be considered in com- 
 bined heating and power work. The greater the proportion 
 of hours each piece of apparatus is in operation, to the total 
 number of hours that the plant is run, the greater the plant 
 efficiency. The ideal load-factor requires that all of the ap- 
 paratus be run at full load all the time. 
 
 The average conduit radiates a great deal of heat, henoe, 
 the nearer the plant to the heated district the greater the 
 economy of the system. Likewise a location near a railroad 
 minimizes fuel costs, and good water, with the possibility 
 of saving the water of condensation from the steam, assists 
 in increasing dhe economy of the plant. It is to be expected 
 that even a well designed plant, unless safeguarded against 
 ills as above suggested, would soon succumb to inevitable 
 failure. 
 
 Two types of centralized heating plants are in use, hot 
 water and steam. Each will be discussed separately. In the 
 discussion of either system, certain definite conditions will 
 have to be met. First of all, there should be a demand in 
 that certain locality for such a heating system, before the 
 plant can be considered a safe investment. To create a de- 
 mand requires good representatives and a first-class resi- 
 dence or business district. When this demand is obtained 
 the plan of the probable district to be heated will first be 
 platted and then the heating plant will be located. In many 
 cases the heating plant will be an added feature to an al- 
 ready established lighting or power plant and its location 
 will be more or less a predetermined thing. 
 
 In addition to these material and financial features just 
 mentioned, one must consider the legal phases that always 
 come up at such a time. These relate chiefiy to the franchise 
 requirements that must be met before occuping the streets 
 with conduit lines, etc. All of these considerations are a 
 part of the one general scheme. 
 
 137. The Scope of the Work in central station heating 
 may be had from the following outline: 
 
210 
 
 HEATING AND VENTILATION 
 
 Central Sta- 
 tion Heating' 
 
 Hot Water Heating 
 by use of 
 
 Steam Heating. 
 
 Exhaust steam heaters 
 Live steam heaters 
 Heating boilers 
 Economizers 
 Injectors or 
 Com-minglers 
 
 Exhaust s-team 
 Live steam 
 
 In the liot tcatcr system the return water at a lowered tem- 
 perature enters the power plant, is passed through one or 
 more pieces of apparatus carrying live or exhaust steam, or 
 flue gases, and is raised in temperature again to that in the 
 outgoing main. From the above, a number of combinations 
 of reheating can be had. Any or all of the units may be put 
 in one plant and the piping system so installed that the 
 water will pass through any single unit and out into the 
 main; or, the water may be split and passed through the 
 units in parallel; or, it may be made to pass through the 
 units in series. All of these combinations are possible, but 
 not practicable. In most plants, two or three combinations 
 only are provided. In the existing plants the order of pref- 
 erence seems to be, exhaust steam reheaters, economizers, 
 heating boilers, injectors or com-minglers, and live steam 
 heaters. 
 
 All of the above pieces of reheating apparatus operate 
 by the transmission of heat througli metal surfaces, such as 
 brass, steel or cast iron tubes, excepting the com-mingler, 
 this being simply a barometric condenser in which the exhaust 
 steam is condensed by the injection water from the return 
 main, the mixture being drawn directly into the pumps. 
 
 The objection to the tube transmission is the lime, mud 
 and oil deposit on the tube surfaces, thus reducing the rate 
 of transmission and requiring frequent cleaning. The ob- 
 jections to the com-minglers are, first, that the pump must 
 draw hot water from the condenser and second, that a cer- 
 tain amount of tlie oil passes into the heating line. With 
 perfected apparatus for removing the oil, the com-mingler 
 will no doubt supersede, to a large degree, the tube re- 
 heaters in hot water heating. 
 
DISTRICT HEATING ^ll 
 
 In the steam system the proposition is very much simpli- 
 fied. The exhaust steam passes through one or more oil 
 separating devices and is then piped directly to the header 
 leading to tlie outgoing main. Occasionally a connection is 
 made from this line to a condenser, such that the steam, 
 when not used in the heating system, may be run directly 
 to the condenser. These pipe lines, of course, are all prop- 
 erly valved so that the current of steam may easily be de- 
 flected one way or the other. In addition to this exhaust 
 steam supply, live steam is provided from the boiler and 
 enters the header through a pressure reducing valve. In 
 any case when the exhaust steam is insufficient the supply 
 may be kept constant by automatic regulation on the reduc- 
 ing valve. 
 
 In selecting between hot water and steam systems the 
 preference of the engineer is very largely the controlling 
 factor. The preference of the engineer, however, should be 
 formed from facts and conditions surrounding the plant, and 
 should not come from mere prejudice. The following points 
 are some of the important ones to be considered: 
 
 First cost of plant installed. — This is very much in favor of 
 the steam system in all features of the power plant equip- 
 ment, the relative costs of the conduit and the outside work 
 being very much the same in the two systems. 
 
 Cost of operation. — This is in favor of the hot water sys- 
 tem because of the fact that the steam from the engines 
 may be condensed at or below atmospheric pressure, while 
 the exhausts from the engines in the steam systems must 
 be carried from five to fifteen pounds gage, which naturally 
 throws a heavy back pressure upon the engine piston. 
 
 Pressure in circulating mains. — This is in favor of the steam 
 system. The pressure in any steam radiator will be only 
 a few pounds above atmosphere, while in a hot water sys- 
 tem, connected to high buildings, the pressure on the first 
 floor radiators near the level of the mains becomes very 
 excessive. The elevation of the highest raddator in the 
 circuit, therefore, is one of the determining factors. 
 
 Regulation. — It is easier to regulate the hot water system 
 without the use of the automatic thermostatic control, since 
 the temperature of the water is maintajined according to a 
 schedule, which fits all degrees of outside temperature. 
 
212 HEATING AND VENTILATION 
 
 WSien automatic control is applied, this advantage is not so 
 marked. 
 
 Returning the water to the power plant. — In most steam plants 
 the water of condensation is passed through indirect heaters, 
 to remove as much of the remaining heat as possible and 
 ds then run to the sewer. This procedure incurs a consider- 
 a/ble loss, especially in cold weather when the feed water 
 at the power plant is heated from low temperatures. This 
 point is in favor of the hot water system. 
 
 Estimating charges for heat. — This is in favor of the steam 
 system since, by meter measurement, a company is able to 
 apportion the charges intelligently. The flat rate charged 
 for water heating and for some steam heating is in many 
 cases a decided loss to the company. 
 
 138. Conduits: — In installing conduits for either hot 
 water or steam systems the, selection should be made after 
 determining, first, its efllciency as a heat insulator; second, 
 its initial cost; third, its durability. Other points that must 
 be accounted for as being very essential are: the supporting, 
 anchoring, grading and draining of the mains; provision for 
 expansion and contraction of the mains; arrangements for 
 taking off service lines at points where there is little move- 
 ment of the mains; and the draining of the conduit. 
 
 Some conduits may be installed at very little cost and 
 yet may be very expensive propositions, because of their in- 
 ability to protect from heat losses; while, on the other liand, 
 some of the most expensive installations save their first 
 cost in a couple of years' service. Many different kinds of 
 insulating materials are used in conduit work such as mag- 
 nesia, asbestos, hair felt, wool felt, mineral wool and air cell. 
 Each of these materials has certain advantages and under 
 certain conditions would be preferred. It is not the real 
 purpose here to discuss the merits of the various insulators, 
 because the quality of the workmanship in the conduit en- 
 ters into the final result so largely. The different ways that 
 pipes may be supported and insulated in outside service will 
 be given, with general suggestions only. Fig. 107 shows a 
 few of the many methods in common use. A very simple 
 conduit is shown at A. This is built up of wood sections 
 fitted end to end, then covered with tarred paper to prevent 
 surface water leaking in and bound with straps. The pipe 
 either is a loose fit to the bore and rests upon the inner sur- 
 
DISTRICT HEATING 213 
 
 face, or is supported on metal stools, driven into the wood or 
 merely resting upon it. These stools hold the pipe concen- 
 tric with the inner bore of the log. With much move^ment 
 of the pipe endwise, from expansion and contraction, these 
 stools should not be used unless they are loose and have a 
 wide surface contact with the wood. A metal lining with 
 the pipe resting directly upon it is considered good. The 
 conduit is laid to a good straight run in a gravel bed and 
 usually over a small tile drain to carry off the surface water, 
 excepting as this drain is not necessary in sections where 
 there is good gravel drainage. The insulation in A is only 
 fair. The air space around the pipe, however, is to be com- 
 mended. B is an improvement over A and is built up of 
 boards notched at the edges to fit together. The materials 
 used, from the outside to the center, are noted on the sketch 
 beginning with the top and reading down. This covering is 
 in general use and gives good satisfaction from every stand- 
 point. C shows a good insulation and supports the pipe 
 upon rollers at the center of a line of halved, vitrified tile. 
 The lower half of the tile should be graded and the pipe then 
 run upon the rollers, after which it may be covered with 
 some prepared covering and the remaining space next the 
 tile filled with asbestos, mineral wool or other like material. 
 D shows the same adapted to cellar work. Occasionally two 
 pipes are run side by side, main and return, in which case 
 large halved tiles may be used as in E, having large metal 
 supports curved on the lower face to fit the tile. If these 
 supports are not desired the same kind of straight tiles may 
 be used with a tee tile inserted every 8 to 12 feet having the 
 bell looking down as in F. In this bell is built a concrete 
 setting with iron supports for the pipes which run on rollers, 
 over a rod. These rollers are sometimes pieces of pipes cut 
 and reamed, but are better if they are cast with a curvature 
 to fit the pipes to be supported. This form of conduit, when 
 drained to good gravel, gives first-class service. G, H and / 
 show box conduits with two or more thicknesses of % inch 
 boards nailed together for the sides, top and bottom. The 
 bottom of the conduit is first laid and the pipe is run. The 
 sides are then set in place and the insulating material put 
 in, after which the top is set and the whole filled in. / shows 
 the best form of box, since with the air spaces this is a 
 very good insulator. All wood boxes are very temporary, 
 hence, brick and concrete are usually preferred. Z is a 
 
HEATING AND VENTILATION 
 
 -J-GRAVEL - 
 ^PUMP LOG ,_^ 
 STOOLS -J-^ 
 
 PIPE 
 
 DRAIN 
 
 
 A 
 
 jGRAVEL 
 r^ABPHALTUM 
 WOOD 
 COR PAPER 
 ASBESTOS 
 TIN LINING 
 MIN WOOL- 
 PIPE 
 ROLLER 
 
 WOOD 
 TILE 
 
 MIN. WOOL- 
 SECTIONAL 
 COVERING 
 PIPE 
 ROLLER 
 
 msffi^imm 
 
 GRAVEL 
 
 TILE 
 
 MIN WOOL 
 
 PIPE 
 PIPE 5UPP 
 CONCRETE 
 
 DRAIN 
 
 Fig. 107a. 
 
DISTRICT HEATING 
 
 215 
 
 STONE 
 BRICK 
 MIN WOOL 
 
 WOOD :^ F-^,. 
 
 NSULATION ^^ 
 
 PIPE 
 ROLLER 
 GRAVEL — 
 
 DRAIN 
 
 v/<f(J,<(f(/f/^. " '.^/.{(<'<<.' [i^^^ '".'/i^^/'Jr ' '' ''^*^'% 
 
 ■GRAVEL 
 -WOOD 
 
 Fig. 107b. 
 
216 HEATING AND VENTILATION 
 
 conduit with 8 inch brick walls covered with flat stones or 
 halved glazed tiles cemented to place to protect from sur- 
 face leakage. The bottom of the conduit has supports built 
 in every 8 to 12 feet, and between these points the conduit 
 drains to the gravel. The usual rod and roller here serve 
 as pipe supports. The pipe is covered with sectional cover- 
 ing and the rest of the space may or may not be filled with 
 wool or chips, as desired. L shows the sectional covering 
 omitted and the entire conduit filled with mineral wool, hair 
 felt or asbestos, and ashes. M has the supporting rod built 
 into the sides of the conduit and has the bottom of the con- 
 duit bricked across and cemented to carry the leaks and 
 drainage to some distant point, y shows a concrete bot- 
 tom with brick sides, having the pipe supported upon cast 
 iron standards. The latest conduit has concrete slabs for 
 bottom and sides and has a reinforced concrete slab top. 
 This comes as near being permanent as any, is reasonable 
 in price, and when the interior is filled with good non-con- 
 ducting material, or when the pipe is covered with a good 
 sectional covering, it gives fairly high efficiency. 
 
 All conduits should be run as nearly level as possible 
 to a^void the formation of air and water pockets in the main. 
 Any unusual elevation in any part of the main may require 
 an air vent being placed at the uppermost point of the curve, 
 otherwise air may collect in such quantities as to retard cir- 
 culation. All low points in the steam lines must be drained 
 to traps. 
 
 The heat lost from conduits is an item of considerable im- 
 portance. A good quality of materials and insulation will 
 probably reduce this loss as low as 20 to 25 per cent, of 
 the amount lost from the bare pipe. To show the method of 
 analysis and to obtain an estimate of the average conduit 
 losses, the following application will be made to a supposed 
 two-pipe hot water system. The loss of heat in B. t. u. per 
 lineal foot from any pipe per hour may be taken from the 
 formula 
 
 He = KCA (f — t') (65) 
 
 where K = rate of transmission for uncovered pipes, C = 100 
 per cent. — efficiency of the insulation, A = area of pipe sur- 
 face per lineal foot of pipe, i = average temperature in the 
 
DISTRICT HEATING 
 
 217 
 
 inside of the pipe and t' = average temperature on the out- 
 side of the conduit. 
 
 Application. — Having- given a system of conduit pipes 
 (two pipes in one conduit) with sizes and lengths as stated 
 in the first and second columns of Table XXVI, what is the 
 probable heat loss in B. t. u. per hour on a winter day and 
 what is the radiation equivalent in a hot water system car- 
 rying water at an average temperature of 170 degrees? 
 
 TABLE XXVI. 
 
 Pipe size 
 inches 
 
 Total lineal 
 
 feet of main 
 
 and return 
 
 Surface per 
 
 foot of length 
 
 A 
 
 B. t. u. per hr. 
 
 per lineal foot 
 
 He 
 
 Equivalent 
 no. of sq.ft. 
 of H.W. Ead. 
 
 2 
 
 5000 
 
 .62 
 
 48.8 
 
 1435 
 
 3 
 
 2000 
 
 .91 
 
 71.6 
 
 842 
 
 4 
 
 3000 
 
 1.06 
 
 83.4 
 
 1472 
 
 6 
 
 3000 
 
 1.73 
 
 137.1 
 
 2420 
 
 8 
 
 2000 
 
 2.26 
 
 177.9 
 
 2093 
 
 10 
 
 2000 
 
 2.83 
 
 221.9 
 
 2611 
 
 . 12 
 
 2000 
 
 3.33 
 
 262.0 
 
 3082 
 
 14 
 
 1000 
 
 4.00 
 
 314.8 
 
 1852 
 
 Totals. B. t. u. lost per hour 2687100 
 
 15807 
 
 U K = 2.25, = 100 — 75 = 25 per cent., t = 175 and 
 f = 35, we have for a 2 inch pipe. He = 2.25 X .25 X .62 X 140 
 = 48.8, which for 5000 lineal feet = 244000 B. t. u., and for 
 the entire system 2687100 B. t. u. If each square foot of hot 
 water radiation gives off 170 B. t. u. per hour then the 
 radiation equivalent for the 2 inch pipe is 244000 -h 170 = 
 1453 square feet. Similarly work out for each pipe size and 
 obtain the values given in the last column of the table. This 
 conduit loss is sufficient to heat 15807 square feet of radia- 
 tion in the district. In terms of the coal pile it approxi- 
 mates 350 pounds per hour. Now assuming the 14 inch 
 main to supply the entire district at a velocity of 6 feet per 
 second we have approximately 162000 square feet of H. W. 
 surface on the line. From this the line loss is 15807 -^ 162000 
 = 9.1 per cent. It should be remembered that the above as- 
 sumes the plant working under a heavy load when the per 
 cent, of line loss is a minimum. This loss remains fairly 
 
218 HEATING AND VENTILATION 
 
 constamt while the heat utilized in the district fluctuates 
 greatly. In mild weather, therefore, the per cent, of line 
 loss to the total heat transmitted is much greater. 
 
 139. Layout of Street Plains and Conduits: — ^No definite 
 information can be given concerning the layout of street 
 mains, because the requirements of each district would call 
 for independent consideration. The following general sug- 
 gestions, however, can be noted as applying to any hot 
 water or steam system: 
 
 Streets to 6e used. — Avoid the principal streets in the city, 
 especially those that are paved; alleys are preferred because 
 of the minimum cost of installation and repairs. 
 
 Cutting of the mains. — Do not cut the main trunk line for 
 branches more often than is necessary. Provide occasional 
 by-pass lines between the main branches at the most Im- 
 portant points in the system* so that, if repairs are being 
 made on any one line, the circulation beyond that point may 
 be handled through the by-pass. Such by-pass lines should 
 be valved and used only in case of emergency. 
 
 Offsets and expansion joints. — Offsets in the lines hinder 
 the free movement of the water and add friction head to the 
 pumps; hence, in water systems, the number should be re- 
 duced to a minimum. Long radius bends at the corners re- 
 duce this friction. Offsets are especially valuable to take 
 up the expansion and contraction of the piping without the 
 aid of expansion joints. This is illustrated in Fig. 108, where 
 anchors are placed at A, and the gradual bending of the 
 pipes at each corner makes the necessary allowance. The 
 expansion in wrought iron is about .00008 inch per foot per 
 degree rise in temperature; hence in a hot water main the 
 linear expansion between 0° and 212° is .017 inch per foot of 
 length or 1.7 inches for each 100 feet of straight pipe. In 
 hot water heating systems, however, the temperature of this 
 pipe would never be less than 50°, which would cause an 
 expansion from hot to cold of only .013 inch per foot, or 
 1.3 inches for each 100 feet of straight pipe. In a steam 
 main the temperature may vary anywhere from 50* to 300*. 
 making a linear expansion of .02 inch per foot of length or 2 
 Inches for each 100 feet of straight pipe. As here shown V.)o. 
 
DISTRICT HEATING 
 
 219 
 
 
 Fig. 108. 
 
 movement from, the anchor 
 at A toward B may be ab- 
 sorbed by the swinging of the 
 pipe about O. B.B. should 
 therefore be as long as possi- 
 ble, say one full block, to 
 avoid unduly straining the 
 pipe at the joints. Allowing a 
 maximum movement of 6 
 inches for each expansion joint, the anchors would be spaced 
 500 and 300 feet center to center respectively, for hot water 
 and steam mains. These figures would seldom be exceeded, 
 and in some cases Wiould be reduced, the spacing depending 
 upon the type of expansion joint used. Ordinarily, 400 feet 
 spacing would be recommended for hot water and 300 feet 
 for steam. If the city layout meets this value fairly well, 
 then the expansion joints and anchors may be made to 
 alternate with each other, one each to every city block. 
 
 A few of the expansion joints in common use are shown 
 in I ig. 109. A is the old slip and packed joint. This joint 
 causes very little trouble except that it needs repacking 
 frequently. It is very effective when properly cared for. 
 The slip joint should have bronze bearings on both the 
 outside of the plug and the lining of the sleeve. The ends 
 of the plug and sleeve may be screwed for small pipes, 
 or flanged for large ones. B shows an improved type of 
 slip joint, having a roller bearing upon a plate in the 
 bottom of the conduit, and plugs bearing against metal 
 plates along the sides of the conduit to keep it in line. C 
 and D show other slip joints very similar to A and B. C 
 has one ball and socket end to adjust the joint to slight 
 changes in the run of the pipe, and D has two packings 
 enclosing the plug to give it rigidity. The drainage in 
 each case is taken off at the bottom of the casting, E has 
 two large flexible disks fastened to the ends of the pipe and 
 separated from each other by an annular ring casting. 
 These disks are frequently corrugated, are usually of cop- 
 per and are very large in diameter so that the pipe has con- 
 siderable movement without endangering the metal in the 
 disks. F has a corrugated copper tube fastened at the ends 
 to the pipe flanges. This is protected from excessive inter- 
 nal pressure by a straight tube having a sliding fit to the 
 inside of the flanges, thus allowing for end movement. O is 
 
220 
 
 HEATING AND VENTILATION 
 
 ^1 .r 
 
 E U 
 
 ,^ 
 
 -^ 
 
 u^^^ai^ 
 
 3 
 
 yvitw """' 
 
 C 
 
 Fig. 109. 
 
DISTRICT HEATING 
 
 221 
 
 very similar to E. It has, however, only one copper disk. 
 This disk is enclosed in a cast iron casement, one side of 
 which is lopen to the atmosphere, the other side having the 
 same pressure as within the pipe. H is very similar to E, 
 having two copper diaphragms to take up the movement. 
 These diaphragms flex over rings with curved edges and 
 are thus protected somewhat against failure. / shows a 
 copper U tube which is sometimes used. This is set in a 
 horizontal position and the expansion and contraction is 
 absorbed by bending the loop. In all these joints those 
 which depend upon the bending of the metal require little 
 attention except where complete rupture occurs. In old 
 plants, however, the rupturing of these diaphragms is of 
 frequent occurrence. The packed joint requires attention 
 for packing several times in the year, but very seldom 
 causes trouble other than this. 
 
 Anchors. — In any long run of pipe, where the expansion 
 and contraction of the pipe causes it to shift its position 
 very much, it is necessary to anchor the pipe at intervals so 
 as to compel the movement toward certain desired points. 
 The anchor is sometimes combined with the expansion joint, 
 in which case the conduit work is simplified. See Fig. 110. 
 
 COMBineo AncKoi 
 
 tl «1 PAW SI ON JOIHT 
 
 Fig. 110. 
 
222 
 
 HEATING AND VENTILATION 
 
 Service pipes to residences are taken off at or near the 
 anchors. All condensation drains In steam mains are like- 
 wise taken off at such points. 
 
 Valves. — All valves on water systems should be straight- 
 way gate valves. Valves on steam systems should be gate 
 valves on lines carrying condensation, and renewable seat 
 globe valves on the steam lines. Valves should be placed on 
 the main trunk at the power plant, on all the principal 
 branch mains as they leave the main trunk, on all by-pass 
 lines, on all the service mains to the houses, and at such 
 important points along the mains as will enable certain 
 portions of the heating district to be shut off for repairs 
 without cutting out the entire district. 
 
 Manholes. — Manholes are placed at important points along 
 the line to enclose expansion joints and valves. These man- 
 holes are built of brick or concrete and covered with Iron 
 plates, flag stones, slate of reinforced concrete slabs. Care 
 must be exercised to drain these points well and to have the 
 covering strong enough to sustain the superimposed loads. 
 
 140. Typical Design, for Consideration: — In discussing 
 district heating, each important part of the design work will 
 be made as general as possible and will be closed by an 
 
 
 Fig. 111. 
 
DISTRICT HEATING 
 
 223 
 
 application to the following concrete example which refers 
 to a certain portion of an imaginary city, Fig. Ill, as avail- 
 able territory. A city water supply and lighting plant is 
 located as shown, with lighting and power units aggregat- 
 img 475 K. W., city water supply pumps aggregating 3000000 
 gallons maximum capacity, and smaller units requiring ap- 
 proximately 15 per cent, of the amount of steam used by 
 the larger lighting units, all as suggested in general instruc- 
 tions in the problem pamphlet. It is desired to re-design this 
 plant and to add a district heating system to it; the same to 
 have all the latest methods of operation and to be of such a 
 size as to be economically handled. Fig. 118 shows the essen- 
 tial details of the finished plant. 
 
 141. Electrical Output and Exhaust Steam Available for 
 Heating Purposes from the Po^ver Units: — In the operation 
 of such a plant, one of the principal assets is the amount of 
 exhaust steam available for heating purposes. The amount 
 may be found for any time of the day or night by construct- 
 ing a power chart as in Fig. 112, and a steam consumption 
 chart as in Fig. 113. Referring to Fig. 112, the values here 
 
 500 
 
 400 
 
 300, 
 
 f5 
 
 2009 
 
 JOO 
 
 1 1 1 1 1 1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 PsnKw UNIT 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 l5nKW UNIT- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 m 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 "MAX TOTAL Kw" 
 
 — ^ 
 
 " 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ■- 
 
 — 
 
 — 
 
 -• 
 
 ■- 
 
 - 
 
 -- 
 
 — 
 
 — 
 
 - 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 POWF 
 
 i_iMT5 IN KW 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 -- 
 
 -- 
 
 
 
 
 
 
 
 
 
 
 
 
 — 
 
 — 
 
 — 
 
 ... 
 
 ... 
 
 — 
 
 ... 
 
 — 
 
 — 
 
 — 
 
 
 
 
 
 
 
 
 
 
 — 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 — 
 
 — 
 
 — 
 
 — 
 
 — 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Q « 
 
 2 3 4 
 AM 
 
 5 6 7 6 
 
 9 iO II 12 1 
 M 
 
 HOURS 
 
 234 561 69 10 1 
 
 PM 
 
 Fig. 112. 
 
 
 12 
 
 eiven are assumed, for illustration, to be thase recorded at 
 the switchboard of the typical plant on a day when heavy 
 service is required. The curves show that the 75 K. W. unit 
 runs from 12 P. M. to 7 A. M. and from 6 P. M. to 12 P. M. 
 with an output of 25 K. W. It also runs from 7 A. M. to 10 A. 
 
224 
 
 HEATING AND VENTILATION 
 
 M. and from 4 P. M. to 6 P. M. under full load. The 150 K. W. 
 unit runs from 4 A. M. to 7 A. M. with an output of 100 K. W. 
 and then increases to 125 K. W. for the entire time until 6 P. M. 
 when it is shut down. The 250 K. W. unit is started up at 7 
 A. M. and runs until 6 P. M. under full load, when the load 
 drops off to 150 K. W. and continues until 10 P. M. when the 
 unit is shut down, leaving only the 75 K. W. unit running. The 
 heavy solid line shows all the power curves superimposed 
 one upon the other. Having given the K. W. output, the gen- 
 eral formula for determining the horse-power of the engines 
 is 
 
 K. TT. X 1000 
 
 /. II. P. = — (66) 
 
 '746 X JR X E' 
 
 where E and E' are the efficiencies of tlie generator and en- 
 gine respectively. If we assume the efficiency of the gener- 
 ator to be 90 per cent., and that of the engine to be 92 per 
 cent., then formula 66 becomes 
 
 7. n. p. = 
 
 K. TT. X 1000 
 746 X .90 X .92 
 
 = approx. 1.62 K. TF. (67) 
 
 Assuming that the 250 K. TT. unit consumes 24 pounds, the 
 150 K. W. unit 32 pounds, and the 75 K. W. unit 32 pounds of 
 steam per /. H. P. hour respectively, when running under 
 
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 JMPTIDN 
 
 
 
 
 
 
 
 
 
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 NIP UNITS 
 
 
 
 
 
 
 
 
 
 
 
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 Q- 
 
 
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 12 I 2 3 4 5 6 7 
 AM 
 
 9 10 )l 12 I 2 3 4 5 6 7 8 9 10 II 12 
 
 M PM 
 
 HOURS 
 I'ijr. 113. 
 
DISTRICT HEATING 
 
 226 
 
 normal loads, we have the total steam consumed in the three 
 units at any time shown by the lower curve in Fig. 113. 
 The upper curve shows the 15 per cent, added allowance for 
 smaller units not included in the above list. The values 
 assumed for efficiencies and the values for steam consump- 
 tion are reasonable, and may be used if a more exact 
 figure is not to be had. 
 
 It will be seen that the maximum steam consumption in 
 the generating- units in the power plant is 23100 pounds per 
 hour and the minimum is 1490 pounds per hour. These two 
 amounts, then, together with the exhaust steam from the 
 circulating pumps on the heating system, if a hot water 
 system is installed, and that from the pumps in the city 
 water supply, wiill determine .the capacity of the exhaust 
 steam heaters on the hot water supply and the capacity of 
 the boilers or economizers to be used as heaters when the 
 exhaust steam is deficient. 
 
 142. Amount of Heat Available for Heating Purposes 
 in Exliaust Steam, Compared witli That in Saturated Steam 
 at tlie Pressure of the Exhaust: — To study the effect of ex- 
 haust steam upon heating problems and to determine, if 
 possible, the theoretical amount of heat given off wiith 
 the exhaust steam under various conditions of use, let us 
 naake several applications: first, to a simple high speed 
 non-condensing engine using saturated steam; second, to 
 a compound Corliss non-condensing engine usiing saturated 
 steam; third, to the first application when superheated 
 steam is used instead of saturated steam; and fourth, to a 
 horizontal reciprocating steam pump. Assume the follow- 
 ing safe conditions. Case one — boiler pressure 100 pounds 
 gage; pressure of steam entering cylinder 97 pounds gage; 
 quality of steam at cylinder 98 per cent.; steam consump- 
 tion 34 pounds per indicated horse-ipower hour; one per 
 cent, loss in radiation from cylinder; and exhaust pressure 
 2 pounds gage. Case two — boiler pressure 125 pounds gage; 
 pressure at high pressure cylinder 122 pounds gage; quality 
 of steam entering high pressure cylinder 98 per cent.; 
 steam consumption 22 pounds per indicated horse-power 
 hour; 2 per cent, loss in radiation from cylinders and re- 
 ceiver pipe, and exhaust pressure 2 pounds gage. Case 
 three — same as case one with superheated steam at 150 de- 
 grees of superheat. Case four — as stated later. 
 
226 HEATING AND VENTILATION 
 
 The number of B. t. u. exhausted with the steam, In 
 any case, is the total heat in the steam at admission, minus 
 the heat radiated from the cylinder, minus tlie heat ab- 
 sorbed in actual work in the cylinder. 
 
 High speed engine. Case one. — Let r = heat of vaporiza- 
 tion per pound of steam at the stated pressure, x =■ quality 
 of the steam at cut-off, q = heat of the liquid in the 
 steam per pound of steam, and Ws = pounds of steam per 
 indicated horse-power hour. P^rom this the total number 
 of B. t. u. entering the cylinder per horse-power hour is 
 
 Total B. t u. = Ws ixr + q) (68) 
 
 From Peabody's steam tables r = 881, x = .98 and q = 307; 
 then if Ws = 34, initial B. t. u. = 34 (.98 X 881 + 307) = 
 39792.92. Deducting the heat radiated from the cylinder 
 we have 39792,92 X .99 = 39395 B. t. u. per horse-power 
 left to do work. The B. t. u. absorbed in mechanical work 
 (useful work + friction) in the cylinder per horse-power 
 hour is (33000 X 60) -r- 778 = 2545 B. t. u. Subtracting 
 this work loss we have 39395 — 2545 = 36850 B. t. u. given 
 up to the exhaust per horse-power hour. Comparing this 
 value with the total heat in the same weight of saturated 
 steam at 2 pounds gage, we have 100 X 36850 -=- (34 X 
 1152.8) = 94 per cent. 
 
 Compound Corliss engine. Case two. — With the same terms 
 as above let r = 867.4, x = .98, q = 324.4, and Ws = 22, 
 then the initial B. t. u. = 22 (.98 X 867.4 + 324.4) = 25837.9. 
 Less 2 per cent, radiation loss = 25837.9 X .98 = 25321.14 
 B. t. u. The loss absorbed in doing mechanical work in the 
 cylinder per horse-power is, as before, 2545 B. it. u. Sub- 
 tracting this we have 25321.14 — 2545 = 22776.14 B. t. u. 
 given up to the exhaust per horse-power hour. Comparing 
 as before with saturated steam at 2 pounds gage, we have 
 100 X 22776.14 ^ (22 X 1152.8) = 90 per cent. 
 
 Case three. — Now suppose superheated steam be used In 
 the first application, all other conditions being the same, 
 the steam having 150 degrees of superheat, what difference 
 will this make in the result? The total heat entering the 
 cylinder now is the total heat of the saturated steam at 
 the initial pressure plus the heat given to it in the super- 
 heater. Let Cp = specific heat of superheated steam and 
 
DISTRICT HEATING 
 
 227 
 
 td = the degrees of superheat, then the total heat of the 
 superheated steam is 
 
 Total B. t. u. (sup.) = Ws (xr + q + Cpta) (69) 
 
 This for one horse-power of steam (34 pounds), if the 
 specific heat of superheated steam is .54, will be 34 X .99 
 X (1188 + .54 X 150) = 42714.5 B. t. u. and the heat turned 
 into the exhaust will be 42714.5 — 2545 = 40169.5 B. t. u. 
 Comparing- this with the heat in saturated steam at 2 
 pounds gage, we have 100 X 40169.5 -i- (34 X 1152.8) = 102 
 per cent. 
 
 Case four. — Pump exhausts are sometimes led into the 
 Bupply and used for heating purposes along with the engine 
 exhausts. If such conditions be found, what is the heating 
 value of such steam? Assume the live steam to enter the 
 steam cylinder of the pump under the same pressure and 
 quality as recorded for the high speed engine. The steam 
 is cut off at about % of the stroke and expands ito the end 
 of the stroke. With this small expansion the absolute 
 pressure at the end of the stroke will be approximately 
 % X 112 = 98 pounds, and if enough heat is absorbed from 
 the cylinder wall to bring the steam up to saturation at 
 the release pressure, we will have a total heat above 32 
 degrees, in the exhaust steam per pound of steam at 98 
 pounds absolute, of 1185.6 B. t. u. Comparing this with a 
 pound of saturated steam at 2 pounds gage, we have 
 100 X 1185.6 -^ 1152.8 = 103 per cent. Under the con- 
 ditions such as here stated with a high release pressure, 
 a small expansion of steam in the cylinder and dry steam 
 at the end of the stroke, it is possible to suddenly drop the 
 pressure from pump release to a low pressure, say 2 pounds 
 gage, and have all the steam brought to a state approach- 
 ing superheat. It is not likely, however, that the steam 
 is dry at the end of the stroke in any pump exhaust, be- 
 cause the heat lost in radiation and in doing work in the 
 slow moving pump would be such as to have a considerable 
 amount of entrained water with the steam, thus lowering 
 the quality of the steam. These above conditions are ex- 
 treme and are not obtained in practice. 
 
 From cases one and two it would appear that the 
 greatest amount of heat that can be expected from engine 
 exhausts, for use in heating systems at or near the pres- 
 sure of the atmosphere, is 90 to 94 per cent, of that of 
 
228 
 
 HEATING AND VENTILATION 
 
 saturated steam at the same pressure. The percentage will, 
 in most cases, drop much below this value. All things con- 
 sidered, exhaust steam having 80 to 85 per cent, of the value of 
 saturated steam at the same pressure is probably the safest rating tchen 
 ealculating the amount of radiation which can be supplied by the 
 engines. In many cases no doubt this could be exceeded, but 
 it is always best to take a safe value. On the other hand, 
 ichen figuring the amount of condenser tube surface or reheater tube 
 surface to condense the steam, it would be best to take exhaust steam 
 at 100 per cent, quality, since this would be working toward 
 the side of safety. 
 
 In plants where the exhaust steam is used for heating 
 purposes and where the amount supplied by direct acting 
 steam pumps is large compared with that supplied by the 
 power units, it is poss«ible to have the quality of the ex- 
 hausts anywhere between ,800 and 1000 B. t. u. per pound 
 of exhaust. It should be understood that saturated steam 
 at any stated pressure always has the isame number of 
 B. t. u. in it, no matter whether it is taken directly from 
 the boiler, or from the engine exhaust. A pound of the 
 mixture of steam and entrained water, taken from engine 
 exhausts, should not be considered as a pound of steam. 
 If we are speaking of a pound of exhaust steam without 
 the entrained water as compared with a pound of saturated 
 steam at the same pressure, they are the same, but a pound 
 of engine exhaust or mixture is a different thing. 
 
 POWtR HOi»«t 
 
 Fig. 114. 
 
DISTRICT HEATING 
 
 229 
 
 HOT WATER SYSTEMS. 
 
 143. Pour General Classifications of hot water heating 
 may be found in current work, two applying to the conduit 
 piping system and two to the power plant piping system. 
 The first, known as the one-pipe complete circuit system, is shown 
 in Fig. 114. It will be noticed that the water leaves the 
 power plant and miakes a complete circuit of the district, 
 as A, B, C, D, E, F, G, through a single pipe of uniform 
 diameter. From this main are taken branch naains and 
 leads to the various houses, as a, 6, c and d, e, each one 
 returning to the principal main after having made its own 
 minor circuit. The second is known as the two-pipe high 
 pressure system, in which two main pipes of like diameter 
 laid side by side in the same conduit, radiate from the 
 power plant to the farthest point on the line reducing 
 in size at certain points to suit the capacity of that part 
 of the district served. This system is represented by Fig. 
 115. In the one-pipe system the circulation in the various 
 residences is maintained, in part, by what is known as the 
 shunt system^ and in part, by the natural gravity circula- 
 tion. The circulation in the two-pipe system is main- 
 tained by a high differential pressure between the main 
 and the return at the same point of the conduit. The force 
 producing movement of the water in the shunt system is, 
 therefore, very much less than in the two-pipe system. As a 
 consequence, the one-pipe system has a lower velocity of the 
 
 n 
 u 
 
 -r 
 
 & 
 
 a 
 
 Rower Hou&t 
 
230 HEATING AND VENTILATION 
 
 water in the houses and larger service pipes than the two- 
 pipe system. 
 
 In many cases it is desired to connect central heating 
 mains to the low pressure hot water systems in private 
 plants. Such connections may easily be made with either 
 one of the two systems by installing some minor pieces 
 of apparatus for controlling the supply. 
 
 The third and fourth classifications, the open and closed 
 systems, have about the same meaning as wlien applied to 
 gravity work in isolated plants. The first is open to the 
 atmosphere at some point along the circulating system, usu- 
 ally at the expansion tank which is placed on the return 
 line just before the circulating pumps. The closed system 
 presupposes some form of regulation for controlling exces- 
 sive or deficient pressures without the aid of an expansion 
 tank. In such cas'cs pumps with automatic control may be 
 used for taking care of the* reserve supply of water. In the 
 open system the exhaust steam may be injected directly into 
 the return circulating water bj^ the use of an open heater 
 or a com-mingler. The open heater and com-mingler cannot 
 be used on the pressure side of the pumps. Surface con- 
 densers or reheaters, heating boilers and economizers may 
 be used on either open or closed systems. 
 
 ' 144. Amount of AVater Xeeded per Honr as a Heatlngr 
 Medium:— All calculations must necessarily begin with the 
 heat lost at the residence. Referring to the standard room 
 mentioned in Art. 80, we find the heat loss to be 14000 B. t. u. 
 per hour, requiring 84 square feet of hot water heating sur- 
 face to heat the room. Let the circulating water have the 
 following temperatures: leaving the power plant 180°, enter- 
 ing the radiator 177°, leaving the radiator 157°, and entering 
 the power plant 155°. According to tliese figures, which may 
 be considered fair average values, the water gives off to the 
 radiator 20 B. t. u. per pound or 166.6 B. t. u. per gallon, thus 
 requiring 14000 -^ 166.6 = 84 gallons of water per hour to 
 maintain the room at a temperature of 70°. From this a 
 safe estimate may be given for design, i. e., each square foot of 
 hot water radiation in the city mil require approximately one gallon 
 of water per hour, which in a plant operating under liiigh effi- 
 ciency may be reduced to 6 pounds per square foot per hour. 
 It is very certain that some plants are designed to supply 
 less than one gallon, but In such cases it requires a higher 
 temperature of the circulating water and allows little chance 
 
DISTRICT HEATING 
 
 231 
 
 for future expansion of the plant. A drop of 20 degrees, 
 i. e., 20 B, t. u. heat loss per pound of water passing through 
 the radiator, is probably the most satisfactory basis. All 
 things considered, the above italicised statement will satisfy 
 every condition. (See Art. 173). Having the total number 
 of square feet of radiation in the district, the total amount 
 of water circulated through the mains per hour can be 
 obtained, after which the size of the pumps in the power 
 plant may be estimated. 
 
 145. Radiation in the District: — The amount of radia- 
 tion that may be installed in the district is problematical. In 
 an average residence or business district the following fig- 
 ures may easily be realized: Msiness square, 9000 square feet; 
 residence square, ^500 square feet. In certain locations these fig- 
 ures may be exceeded and in others they may be reduced. 
 Where the needs of the district are thoroughly understood a 
 more careful estimate can easily be made. It is always well 
 to make the first estimate a safe one and any possible in- 
 crease above this figure could be taken care of as in Art. 
 144. Referring to Fig. Ill, an estimate of the amount of 
 radiation that may be expected in this typical case, if we 
 assume ten business squares and twenty-one residence 
 squares, is 184500 square feet. This will call for the circu- 
 lation of 184500 gallons of water per hour. 
 
 146. Future Increase in Radiation: — From the tempera- 
 tures given in Art. 144, it will be seen that each pound of 
 water takes on 25 B. t. u. at the power plant and that there 
 is a possible increase of 212 — 180 = 32 B. t. u. per pound that 
 may be given to it, thus increasing the capacity of the system 
 approximately 125 per cent. It would not be safe to count 
 on such an increase in the average plant because of a defec- 
 tive layout in the piping system or because of a low efll- 
 ciency in some of the pumps or other apparatus in the 
 plant. If, however, a plant is installed according to the 
 above figures, the capacity may be quite materially increased 
 by increasing the temperature of th-e outgoing water at th« 
 plant to 212°. 
 
 147. Tlie Pressure of the Water in the Mains: — The ele- 
 vation above the plant at which a central station can supply 
 radiation is limited. Water at 180° will weigh 60.55 pounds 
 per cubic foot, and the pressure caused by an elevation of 1 
 foot is .42 pound per square inch. From this the static pres- 
 
232 HEATING AND VENTILATION 
 
 sure at the power plant, due to a hydraulic head of 100 feet. 
 Is 42 pounds per square inch. This value should not be ex- 
 ceeded, and generally, because of the influence it has on the 
 machines and pipes toward producing leaks or complete 
 ruptures, a less head than this is desirable. A static pres- 
 sure of 42 pounds may be expected to produce, in a well de- 
 signed plant, an outflow pressure of 65 to 75 pounds per 
 square inch and a return pressure of 15 to 20 pounds per 
 square inch, when working under fairly heavy service. In 
 any case where the mains are too small to supply the radia- 
 tion in the system properly, we may expect the value given 
 for the outflow to increase and that for the return to de- 
 crease. A safe set of conditions to follow is: head, in feet, 
 60; static pressure, in pounds per square inch, 25; outgoing 
 pressure at the pumps, in pounds per square inch, 50; return 
 pressure at the pumps, in pounds per square inch, 5. 
 This differential pressure .of 45 pounds is caused by the 
 friction losses in the piping system, pumps and heaters. 
 Long pipe systems, as these are called, have much greater 
 friction losses in the long runs of piping than in the ells, 
 tees, valves, etc., hence, the friction head of the pipes is all 
 that is usually considered. Where the minor losses are 
 thought to be large, they may be accounted for by adding 
 to the pipe loss a certain percentage of itself, say 10 to 20 
 per cent. Pump power is figured from the differential pressure. 
 
 The maximum and minimum pressures in the system are 
 due to two causes; first, the static head, and second, the 
 frictional resistances. These extremes of pressure are ap- 
 proximately — static head plus (or minus) one-half the frictional 
 resistances. To obtain the frictional resistances, Chezy's for- 
 mula, 70, is recommended. See Merriman's "A Treatise 
 on Hydraulics," Arts. 86 and 100, and Church's "Mechanics 
 of Engineering," Art. 519. 
 
 4(t>l r* 
 
 hf = X — (70) 
 
 d 2«7 
 
 where hf = feet of head lost in friction, <f> = friction factor 
 
 (synonymous with coefficient of friction". For clean cast 
 
 iron pipes with a velocity of 5 to 6 feet per second this 
 
 has been found to vary from .0065 to .0048 for diameters 
 
 between 3 and 15 inches respectively. .005 is suggested as 
 
 a safe average value to use), I = length of pipe in feet, 
 
 V = velocity of water in feet per second, d = diameter 
 
 of pipe In feet and 2g — 64.4. 
 
 I 
 
DISTRICT HEATING 
 
 233 
 
 Application. — In Fig. 115, let It be desired to find the 
 differential pressure at the pumps due to the friction losses 
 in the line A, B, C, D, E. The lengths of the various parts 
 are: power plant to A, 200 feet; A to B, 500 feet; B to C, 
 1500 feet; G to D, 1500 feet; and D to E, 500 feet. Assume, 
 for illustration, that the total radiation in square feet 
 beyond each of these points is: power plant, 125000; A, 85000; 
 B, 50000; C, 28000; and D, 12000. This requires 125000, 85000, 
 50000, 28000 and 12000 gallons of water per hour, or 4.74, 
 3.27, 1.75, 1 and .44 cubic feet of water per second, respec- 
 tively, passing these points. Now, if the velocities be 
 roughly taken at 6 and 5 feet per second, (pipes near the 
 power plant may be given somewhat higher velocities than 
 those at some distance from the plant), the pipes will be 12, 
 10, 8, 6 and 4 inches diameter. In applying the formula to 
 one part of the line we show the method employed for each. 
 Take that part from the power plant to A. With v = 6 
 
 ht 
 
 4 X .005 X 200 X 36 
 64.4 X 1 
 
 2.2 feot. 
 
 It should be noted here that formula 70 refers to pipes 
 where all the water that enters at one end passes out the other. 
 This is not true in heating mains where a part of the water 
 is drawn off at intermediate points. On the other hand, 
 Merriman, Art. 99, explains that a water service main, where 
 the water is all taken off from intermediate tappings and where 
 the velocity at the far end is zero, causes only one-third of the 
 friction given by the above formula. The case under consid- 
 eration falls somewhere between these two extremes, the part 
 next the power plant approaching the former and the last 
 part of the line exactly meeting the conditions of the latter. 
 Assuming the mean of 'these two conditions, which is 
 probably very close to the actual, gives two-thirds of 'that 
 found by the formula. Now since this is a double main 
 system, i. e., main and return of the same size, the friction 
 head for the two lines becomes 2.94 feet, from the power 
 plant to A. In a similar way the other parts may be tried 
 and the results from the entire line assembled in convenient 
 form as in Table XXVII. 
 
234 
 
 HEATING AND VENTILATION 
 
 TABLE XXVIL 
 
 Distance between points 
 
 Radiation supplied 
 
 Volume of water passing 
 point in cu. ft. per sec... 
 
 Velocity f. p. s 
 
 Area of pipe sq. ft 
 
 Diam. of pipe in ft 
 
 hf by (73) for flow main.... 
 
 hf (taking % value) 
 
 hf (% val. flow and return) 
 
 P. p. 
 
 to A. 
 
 AtoB 
 
 BtoO 
 
 CtoD 
 
 200 
 
 500 
 
 1500 
 
 1500 
 
 125000 
 
 85000 
 
 50000 
 
 28000 
 
 4.74 
 
 3.27 
 
 1.75 
 
 1. 
 
 6 
 
 6 
 
 5 
 
 5 
 
 .79 
 
 .545 
 
 .35 
 
 .20 
 
 1 
 
 .83 
 
 .66 
 
 .5 
 
 2.2 
 
 6.7 
 
 17.4 
 
 23.3 
 
 1.47 
 
 4.47 
 
 11.6 
 
 15.5 
 
 2.94 
 
 8.94 
 
 23.2 
 
 31.0 
 
 DtoE 
 
 503 
 12000 
 
 .44 
 
 5 
 .087 
 .33 
 11.7 
 7.8 
 15.6 
 
 From the last line of the table we obtain the total 
 friction head for both mains, not including ells, tees, valves, 
 etc., to be 81.6 feet. This, is equivalent to 34.3 pounds per 
 square dnch. Now if we allow about 20 per cent, of all the 
 line losses to cover the minor losses we have approximately 
 40 pounds differential pressure, which is a reasonable value. 
 
 148. Velocity of the Water in the Mains and the Dia- 
 meter of the Plains: — The district is first chosen and the 
 layout of the conduit system is made. This is done inde- 
 pendently of the sizes of the pipes. When this layout is 
 finally completed, the pipe sizes are roughly calculated for 
 all the important p'Oints in the system, and are tabulated 
 in connection with the friction losses for these parts, as 
 in Art. 147. When this is done, formula 71, which is rec- 
 ommended to be used in connection with formula 70, may be 
 applied and the theoretical diameters found. (The approxi- 
 mate diameters and the friction heads need not be calcu- 
 lated in formula 70 for use in formula 71, providing some 
 estimate may be made for the value of hf, for the various 
 lengths of pipe. If desired, hf may be assumed without any 
 reference to the diameter, but this is a rather tedious pro- 
 cess. For good discussion of this point see Church's Hy- 
 draulic Motors, Arts. 121-124 b.) 
 
 d = .629 
 
 [ 
 
 X 
 
 <t>lQ' -\% 
 
 hf 
 
 (71) 
 
 where d, hf, <p and I are the same as in formula 70, ami Q = 
 cubic feet of water passing through the pipe per second. 
 This formula differs from those given in the references 
 stated, in that the term % is inserted as a mvau value be- 
 
DISTRICT HEATING 235 
 
 tween the two extreme conditions, as stated in Art, 147. 
 Application. — Let it be desired to find the diameter for the 
 single main between the power plant and A, Art. 147, with 
 hf = 1.47 
 
 [ 
 
 , 2 X.005 X 200 X (4.74)2 "J^s 
 
 d = .629 I I = 1 ft. = 12 in. 
 
 3 X 1.47 -^ 
 
 Applying- to the entire line with hf as given in next to last 
 line of Table XXVII, gives power plant to A, d = 12 inches; 
 A to B, d = 10 inches; B to C, d = S inches; C to D, d = 6 
 inches; and D to E, d = 4: inches. 
 
 In some cases, when close estimating is not required, 
 It is satisfactory to assume a velocity of the water and find 
 the diameter without considering the friction loss. In many 
 cases, however, this would soon prove a positive loss to the 
 company. With a low velocity, the first cost would be large 
 and the operating cost would be low. On the other hand, 
 if the velocity were high, the first cost would be small and 
 the operating cost and depreciation would be large. As an 
 illustration of how the friction head increases in a pipe of 
 this kind with increased velocity, refer to the run of mains 
 between B and C. Assuming a velocity of 10 feet per 
 second, which in this case would be very high, the friction 
 head, hf, for the single main, becomes 62 and the theoretical 
 diameter is 5.5, say 6 inches. The friction head, as will be 
 seen, is 5,4 times the corresponding value when the velocity 
 was 5 feet per second. Since the pump must work contin- 
 ually against this head, it would incur a financial loss that 
 would soon exceed the extra cost of installing larger pipes. 
 It is found in plants that are in first class operation that 
 the velocities range from 5 to 7 feet per second. 
 
 The calculations in Arts, 147 and 148 are very much 
 simplified by the use of the chart shown in the Appendix. 
 In planning a system of this kind, find the friction head 
 on the pumps and the diameters of the pipes for various 
 velocities, say 4, 6, 8 and 10 feet per second. Estimate the 
 probable first cost and the depreciation of the conduit sys- 
 tem for each velocity, and balance these figures with the 
 operating cost for a period of, say five years, to see which is 
 the most economical velocity to use in figuring the system. 
 
 149. Service Connections are usually installed from 30 
 to 36 inches below the surface of the ground, and are in- 
 sulated in some form of box conduit which compares favor- 
 
236 HEATING AND VENTILATION 
 
 ably with that of the main conduit. Service branches are 
 IM, 1% and 2 inch wrought iron pipe. Tliese are usually 
 carried to the building- from the conduit at the expense of 
 the consumer. Such branch conduits are not drained by 
 tile drains. See Art. 176. 
 
 150. Total Steam Available and B. t. u. Liberated per 
 Hour for Heating the Circulating ^Vate^: — The amount of 
 steam available for heating the circulating water is that 
 given off by the generating units, plus that from the cir- 
 culating pumps, plus that from the city water supply pumps 
 if there be any, plus that from the auxiliary steam units 
 in the plant, i. e., small pumps, engines, etc. In the typical 
 application this amounts to 23100 + 12720 + 8680 = 44500 
 pounds per hour. 
 
 This steam, of course, is not equal to good dry steam in 
 heating value because of the work it has done in the engine 
 and pump cylinders, but a good estimate of its value may 
 be approximated. In addition to the terms used in for- 
 mula 68, let g' =■ heat in the returning condensation per 
 pound; then the heat available for heating purposes per 
 pound of exhaust steam is 
 
 B. t. u. = xr + q — q' (72) 
 
 It is probably safe to consider the quality of the steam as 
 85 per cent, of that of good dry steam at tlae same pressure. 
 Since the pressure of the exhaust from a non-condensing 
 engine, as it enters the heater, is near that of the atmos- 
 phere, and since the returning condensation is at a tempera- 
 ture of about 180°, the total amount of heat given off from 
 a pound of exhaust steam to the circulating water is 
 B. t. u. = .85 X 969.7 + 180.3 — (180.3 — 32) = 856, say 850. 
 If Wi be the pounds of exhaust steam available, the total 
 number of B. t. u. given off from the exhaust steam per hour is 
 
 Total B. t u. = 850 W* (73) 
 
 Applying this to the typical power plant gives 850 X 
 44500 = 37825000 B. t. u. per hour. This amount Is probably 
 a maximum under the conditions of lighting units as stated, 
 and would be true for only 5 hours out of 24. At other 
 times the exhausc steam drops off from the lighting units 
 and this deficiency must be made good by heating the circu- 
 lating water directly from the coal, by passing tlie water 
 through heating boilers or by passing it through economiz- 
 
DISTRICT HEATING 237 
 
 ers whe're it is heated by the waste heat from the stack 
 gases. 
 
 151. Amount of Hot Water Radiation in the District 
 that can be Supplied by One Pound of Bxhaust Steam on a 
 Zero Day: — In Art. 144, each pound of water takes on 25 
 B. t. u. in passing- through the reheaters at the power plant, 
 and gives off at least 20 B. t. u. in passing through the 
 radiator. The number of pounds of water heated per pound 
 of steam per hour is, Ww = (Total B. t. u. available per 
 pound of exhaust steam per hour) -r- 25, and the total radia- 
 tion that can be supplied is 
 
 Total B. t u. available per lb. of exhaust steam per hr. 
 
 Ru, = (74) 
 
 8.33 X 25 
 
 which for average practice reduces to 
 
 850 
 Rv> = == 4 square feet approx. (75) 
 
 208 
 
 Applying formula 74 for the five hour period when the 
 exhaust steam is maximum gives Rw = 37825000 -r- 208 = 
 181851 square feet. It is not safe to figure on the peak load 
 conditions. It is better to assume that for half the time, 
 35000 pounds of steam are available and will heat 35000 
 X 4 = 140000 square feet of radiation. 
 
 152. The Amount of Circulating Water Passed through 
 the Heater Necessary to Condense One Pound of Exhaust 
 Steam is 
 
 Total B. t. u. available per lb. of exhaust steam per hr. 
 
 Tfw = (76) 
 
 25 
 
 With the value given above for the exhaust steam this 
 becomes, for 100 and 85 per cent, respectively, 
 
 (77) 
 
 Ww 
 
 = 
 
 1000 
 
 = 
 
 40 pounds 
 
 25 
 
 Ww 
 
 
 
 850 
 
 
 
 34 pounds 
 
 25 
 
 (78) 
 
 153. Amount of Hot Water Radiation in the District 
 that can be Heated by One Horse-Po\%er of Exhaust Steam 
 from a Non-Condensing Engine on a Zero Day:^ 
 
 iJic = 4 X (pounds of steam per H. P. hour) (79) 
 
238 HEATING AND VENTILATION 
 
 This reduces for the various types of engines, as follows: 
 
 Simple high speed 4 X 34 = 136 square feet. 
 
 medium " 4 X 30 = 120 
 
 Corliss 4 X 26 = 104 
 
 Compound high " 4 X 26 = 104 
 
 " medium" 4 X 25 = 100 
 
 " Corliss 4 X 22 = 88 
 
 154. Amount of Radiation that can be Supplied by Bx- 
 hauMt Steam in Formulas 74 and 75 at any other Temper- 
 ature of the AV'ater, tu-, than that Stated, with the Room 
 Temperature, t', Remaining: the Same: — The amount of heat 
 passing through one square foot of the radiator to the room 
 is in proportion to tw — f. In formulas 74 and 75, tw — t' = 
 100, Now if tw be increased x degrees, so that tw — t' = 
 (100 + x) then each square foot of radiation in the building 
 
 100 + X 
 
 will give off times more heat than before and 
 
 100 
 
 each pound of exhaust steam will supply only 
 
 4 X 100 
 
 Rw = square feet (80) 
 
 100 + x 
 
 This for an increase of 30 degrees, which is probably a max- 
 imum, is 
 
 4 
 
 Rw = = 3 square feet (81) 
 
 1.3 
 
 Compared with formula 75, formula 80 shows, with a high 
 temperature of the water entering the radiator, that less 
 radiation is necessary to heat any one room and that each 
 square foot of surface becomes more nearly the value of an 
 equal amount of steam heating surface. Calculations for 
 radiation, however, are seldom made from high tempera- 
 tures of the water, and this article should be considered an 
 exceptional case. 
 
 155. ExhauHt Steam Condenser (Reheater), for Reheat- 
 ing the Circulating >Vater: — In the layout • of any plant 
 the reheaters should be located close to the circulating 
 pumps on the high pressure side. They are usually of 
 the surface condenser type, Fig. 116, and may or may not be 
 installed in duplicate. Of the two types shown in the fig- 
 ure, the water tube type is probably the more com,mon. The 
 same principles hold for each in design. In ordinary heaters 
 for feed water service, wrought iron tubes of 1% to 2 Inches 
 
DISTRICT HEATING 
 
 239 
 
 STC, 
 
 WATER 
 
 M. 
 
 3z: 
 
 y 
 y 
 
 V 
 
 _ 11 ll* 
 
 WATELR STUM DRIP 
 
 WATLR-TUDt TYPE 
 
 Ns 
 
 WTEP 
 
 Q 
 
 u^ 
 
 frtf 
 
 B^ 
 
 Fig-. 116. 
 
 WATLR STLAM 
 DRIP 
 
 STLAM-TUBE TYPE 
 
 diameter are generally used, but for condenser work and 
 where a rapid heat transmission is desired, brass or copper 
 tubes are used, having diameters of % to 1 inch. In heating 
 the circulating water for district service, the Teheater is 
 doing very much the same work as if used on the condens- 
 ing system for engines or turbines. The chief difference is 
 in the pressures carried on the steam side, the reheater con- 
 densing the steam near atmospheric pressure and the con- 
 denser carrying about .9 of a perfect vacuum. In either case 
 it should be piped on the water side for water inlet and out- 
 let, while the steam side should be connected to the exhaust 
 line from the engines and pumps, and should have proper 
 drip connection to draw the water of condensation off to a 
 condenser pump. This condenser pump usually delivers the 
 water of condensation to a storage tank for use as boiler 
 feed, or for use in making up the supply in the heating sys- 
 tem. 
 
 In determining the details of the condenser the following 
 important points should be investigated: the amount of 
 heating surface in the tubes, the size of the water inlet and 
 outlet, the size of the pipe for the steam connection, the size 
 of the pipe for the water of condensation and the length 
 and cross section of the heater. 
 
 156. Amount of Heating Surface in the Reheater Tubes t 
 — The general formula for calculating the heating surface in 
 the tubes of a reheater (assuming all heating surface on 
 tubes only), is 
 
 Total B. t. u. given up by the exhaust steam per hr. 
 
 Rt = ■ (82) 
 
 K (Temp. diff. between inside and outside of tubes) 
 
 The maximum heat given off from one pound of exhaust 
 steam In condensing at atmospheric pressure is 1000 B. t. u., 
 the average temperature difference is approximately 47 
 degrees, and K may be taken 427 B. t. u. per degree dlf- 
 
240 HEATING AND VENTILATION 
 
 ference per hour. In determining K, it is not an easy mat- 
 ter to obtain a value tiiat will be true for average practice. 
 Carpenter's H. & V. B, Art. 47 quotes the above figure for 
 tests upon clean tubes, and volumes of water less than 
 1000 pounds per square foot of heating surface per hour. 
 It is found, however, that the average heater or condenser 
 tube with its lime and mud deposit will reduce the efficiency 
 as low as 40 to 50 per cent, of the maximum transmission. 
 Assume this value to be 45 per cent.; then if Ws is the 
 number of pounds available exhaust steam, formula 82 
 becomes 
 
 1000 Wm 1000 W, 1000 W, W, 
 
 Rt = = = = (83) 
 
 K iU—tw) 427X.45X47 9031 9.1 
 
 In "Steam Engine Design," by Whitham, page 283, the 
 following formula is given for surface condensers used on 
 shipboard: 
 
 W L 
 
 8 = 
 
 cK (Ti — t) 
 
 where 8 = tube surface, W = total pounds of exhaust steam 
 to be condensed per hour, L = latent heat of saturated steam 
 at a temperature Ti, K = theoretical transmission of B. t. u. 
 per hour through one square foot of surface per degree dif- 
 ference of temperature = 556.8 for brass, c = efficiency of 
 the condensing surface = .323 (quoted from Isherwood). Ti = 
 temperature of saturated steam in the condensers, and * = 
 average temperature of the circulating water. 
 
 With L = 969.7, c = .323, K = 556.8 and Ti — t = 47, we 
 may state the formula in terms of our text as 
 
 969.7 Ws 969.7 W, T7, 
 
 Rt = = = • (84) 
 
 .323X556.8X47 8446 8.7 
 
 In Sutcliffe "Steam Power and Mill Work," page 512. the 
 author states that condenser tubes in good condition and set 
 in the ordinary way have a condensing power equivalent to 
 13000 B. t. u. per square foot per hour, when the condensing 
 water is supplied at 60 degrees and rises to 95 degrees at dis- 
 charge, although the author gives his opinion that a trans- 
 mission of 10000 B. t. u. per square foot per hour is all that 
 should be expected. This checks closely with formula 83, 
 which gives the rate of transmission 9031 B. t. u. per squarf 
 foot per hour. 
 
DISTRICT HEATING 
 
 241 
 
 The following empirical formula for the amount of heat- 
 ing surface in a heater is sometimes used: 
 
 Rt = .0944 Ws (85) 
 
 where the terms are the same as before. 
 
 Application. — Let the total amount of exhaust s-team avail- 
 able for heating the circulating water be 35000 pounds per 
 hour, the pressure of the steam in the condenser be atmos- 
 pheric and the water of condensation be returned at 180"; 
 also, let the circulating water enter at 155° and be heated to 
 180°. These values are good average conditions. The as- 
 sumption that the pressure within the condenser is atmos- 
 pheric might not be fulfilled in every case, but can be ap- 
 proached very closely. From these assumptions find the 
 square feet of surface in the tubes. 
 
 Formula 83, Rt = 
 
 Formula 84, Rt = 
 
 35000 
 9.1 
 
 35000 
 8.7 
 
 = 3846 sq. ft. 
 
 = 4023 sq. ft. 
 
 .Formula 85, Rt = 35000 X .0944 = 3304 sq. ft. 
 1000 X35000 
 
 iSutclifCe 
 
 Rt = 
 
 10000 
 
 = 3500 sq. ft. 
 
 If 3846 square feet be the accepted value it will call for 
 three heaters having 1282 square feet of tube surface each. 
 
 157. Amount of Reheater Tube Surface per Engrine 
 Horse-Poifver : — Let ws be the pounds of steam used per 
 /. H. P. of the engine; then from formula 83 
 
 Ws 
 
 Bt (per /. H. P.) = (86) 
 
 9.1 
 
 This reduces for the various types of engines as follows: 
 Simple high speed 34 -r- 9.1 = 3.74 square feet 
 '• medium " 30 -r- 9.1 = 3.30 
 
 " Corliss 26 
 
 Compound high 
 " medium 
 " Corliss 
 
 25 
 
 9.1 = 2.86 
 
 26 -i- 9.1 = 2.86 
 
 9.1 = 2.75 
 
 22 -T- 9.1 = 2.42 
 
 158. Amount of Hot Water Radiation in the District 
 that can be Supplied by One Square Foot of Reheater Tube 
 Surface: — If the transmission through one square foot of 
 tube surface be K iU — tw) = 9031 B. t. u. per hour and the 
 
242 HEATING AND VENTILATION 
 
 amount of heat needed per square foot of radiation per 
 hour = 8.33 X 25 = 208, as given in formula 74, then 
 
 9031 
 
 Rw (per sq. ft. of tube surface) = = 43.4 sq. ft. (87) 
 
 208 
 
 159. Some Important Reheater Details: — Inlet and outlet 
 pipes. — Having three heaters in the plant, it seems rea- 
 sonable that each heater should be prepared for at least one. 
 third of the water credited to the exhaust steam. From 
 Art. 151 this is 140000 -h 3 = 46667 gallons = 10800000 cubic 
 inches per hour. The velocity of the water entering and 
 leaving the heater may vary a great deal, but good values 
 for calculations may be taken between 5 and 7 feet per 
 second. Assuming the first value given, we have the area 
 of the pipe = 10800000 -=- (5 X 12 X 3600) = 50 square inches, 
 and the diameter 8 inches. 
 
 The size of the reheater shell. — Concerning the velocity 
 of the water in the reheater itself, there may be differences 
 of opinion; 100 feet per minute will be a good value to use 
 unless this value makes the length of the tube too great for 
 its diameter. If this is the case the tube will bend from 
 expansion and from its own weight. At this velocity the 
 free cross sectional area of the tubes, assuming the water 
 to pass through the tubes as in Fig. 116, will be 150 square 
 inches. If the tubes be taken % inch outside diameter, 
 with a thickness of 17 B. W. G., and arranged as usual in 
 such work, it will require about 475 tubes and a shell diam- 
 eter of approximately 30 inches. If the inner surface of the 
 tube be taken as a measurement of the heating surface and 
 the total surface be 1282 square feet, the length of the re- 
 heater tubes will be approximately 16 feet. 
 
 The ratio of the length of the tube to the diameter is, 
 in this case, 256, about twice as much as the maximum ratio 
 used by some manufacturers. It will be better, therefore, 
 to increase the number of tubes and decrease the length. 
 With a velocity of the water at 50 feet per minute, the 
 values will be approximately as follows: free cross sec- 
 tional area of the tubes, 300 square inches; number of tubes, 
 950; diameter of shell, 40 inches; length of tubes, 8 feet. 
 These values check fairly well and could be used. 
 
 The size of exhaust steam eonnection. — To calculate this, use 
 the formula 
 
 144 Q, 
 A = (88) 
 
DISTRICT HEATING 
 
 243 
 
 where Q* = volume of steam in cubic feet per minute, T = 
 velocity in feet per minute, and A = area of pipe in square 
 inches. When applied to the reheater using 35000 pounds 
 of steam per hour, at 26 cubic feet per pound and at a veloc- 
 ity through the exhaust pipe of 6000 feet per minute, it gives 
 
 A = 
 
 144 X 35000 X 26 
 
 = 360 sq. in = 22 in. dia. 
 
 60 X 6000 
 Try also, from Carpenter's H. & V. B., page 284 
 
 d = V ■ 
 
 1.23 (89) 
 
 Allowing 30 pounds of steam per H. P. hour for non-condens- 
 ing engines we ihave 35000 -^- 30 = 1166 horse-power; then 
 applying the above we obtain (Z = 16 inches. Comparing 
 the two formulas, 88 and 89, the first will probably admit of 
 a more general application. The velocity 6000 for exhaust 
 steam may be increased to 8000 for very large pipes and 
 should be reduced to 4000 for small pipes. In the above 
 applications a 20 inch pipe will sufliice. 
 
 The return pipe for condensation. — The diameter of the pipe 
 leading to the condenser pump will naturally be taken from 
 the catalog size of the pump installed. This pump would 
 be selected from capacities as guaranteed by the respective 
 manufacturers and should easily be capable of handling the 
 amount of water that is condensed per hour. 
 
 The value of a high pressure steam connection. — If desired, 
 the reheater may also be provided with a high pressure 
 steam connection, to be used when the exhaust steam is not 
 sufficient. This steam is then used through a pressure-re- 
 ducing valve which admits the steam at pressures varying 
 from atmospheric to 5 pounds gage. There is some question 
 concerning the advisability of doing this. Some prefer to 
 install a high pressure steam heater, as in Art. 160, to be 
 used independently of the exhaust steam heaters. This 
 removes all possibility of having excessive back pressure 
 on the engine piston, as is sometimes the case where high 
 pressure steam is admitted with the exhaust steam. 
 
 It has been the experience of some who have operated 
 such plants that where more heat is needed than can be 
 supplied by the exhaust steam, it is better to resort to heat- 
 ing boilers and economizers, than to use high pressure steam 
 for heating. 
 
244 
 
 HEATING AND VENTILATION 
 
 160. Hleh Pressure Steam Heater: — When this heater Is 
 used it Is located above the boiler so th<at all the condensa- 
 tion freely draios back to the boilers by gravity as in Fig. 
 117. In calculating the tube surface, use formula 82 with 
 the full value of the steam and the steam temperatures 
 changed to suit the increased pressure. Such a heater as 
 this gives good results. 
 
 Fig. 117. 
 
 161. Circulating Pumps: — Two type& of pumps are In 
 general use: centrifugal and reciprocating. Each type is 
 somewhat limited in its operation. The centrifugal pump 
 has difficulty in operating against high heads and the recip- 
 rocating pump is very noisy when running at a high piston 
 speed. Since each type is in successful operation in many 
 plants, no comparisons will be made between them further 
 than to say that the former, being operated by a steam en- 
 gine, may be run more economically than the latter because 
 of the possibilities of using the steam expansively. It will 
 
DISTRICT HEATING 245 
 
 be noted, however, that this same steam is to be used in the 
 exhaust steam, heaters for warming' the circulating- water 
 and hence there would be little, if any, direct loss from this 
 source in the use of the reciprocating pump. 
 
 Having given the maximum amount of water to be 
 circulated per hour, consult trade catalogs and select the 
 number of pumps and the size of each pump to be installed. 
 The sizes of the pumps oan easily be determined when the 
 number of them has been decided upon. This latter point 
 is one upon which a difference of opinion will probably be 
 found. No exact rule can be applied. In a plant of, say 
 not more than 150000 square feet of radiation (150000 gal- 
 lons of water per hour, or 3 million gallons for twenty-four 
 hours), some designers would put in three pumps, each 
 having 1.5 million gallons capacity; in which case one pump 
 could be cut out for repairs and the other two would be 
 able to care for the service temporarily. Other designers 
 would use four pumps at about one million gallons each. 
 The fewer the pumps installed, in any case, the greater 
 should be the capacity of each. The following values will 
 be found fairly satisfactory: 
 
 1 Pump. Cap. = (1 to 1.25) times max. requirem't of system 
 
 2 Pumps. " (each) = .75 
 
 3 Pumps. " " = .5 
 
 4 Pumps. " " = .3 
 
 Having given the capacity of each pump in gallons of 
 water per minute, the size, the horse-power and the steam 
 consumption of each pump can be calculated. In obtaining 
 the size of the pump it will be necessary to know the speed, 
 V, of the piston in feet per minute, the strokes, N, per minute 
 and the per cent, of slip, s (100 per cent. — S, where 8 = hy- 
 draulic efficiency). The speed varies between 100, for small 
 pumps, and 75, for large pumps. The strokes vary between 
 200, for small pumps, and 40, for large pumps, and the slip 
 varies between 5 and 40 per cent., depending upon the fit of 
 the piston and. the valves. In pumps that have been in serv- 
 ice for some time the slip will probably average 20 per cent. 
 
 The cross sectional area of the water cylinder in square 
 
 Inches is 
 
 cubic inches pumped per minute 
 
 W. C. A. (90> 
 
 >8 X F X 12 
 
246 HEATING AND VENTILATION 
 
 from which we may obtain the diameter of the water cyl- 
 inder. 
 
 The steam cylinder area is usually figured as a certain 
 ratio to that of the water cylinder area, as 
 
 S. C. A. = (1.5 to 2.5) X TT. C. A. (91) 
 
 from which we may obtain the diameter of the steam cylin- 
 der. 
 
 The length of the stroke, L, in inches, may be obtained 
 from the speed and the number of strokes such that 
 
 12 y 
 L = (92) 
 
 N 
 
 All direct acting steam pumps are designated by diam- 
 eter of steam cylinder X diameter of water cylinder X length 
 of stroke, as 
 
 14" X12" X 18" 
 
 Duplex pumps have twice the capacity of single pumps 
 having the same sized cylinders. 
 
 To find the indicated horse-power, I. n. P., of the pumps, 
 reduce the pressure head, p, in pounds per square inch, to 
 pressure head in feet, 7i; multiply this by the pounds of 
 water, W, pumped per minute and divide the product by 
 33000 times the mechanical efflciency, E. 
 
 W h 
 
 /. E. P. = (93) 
 
 33000 E 
 
 To reduce from pressure head in pounds to pressure 
 head in feet, divide the pressure head in pounds by weight 
 of a column of water one square inch in area and one foot 
 nigh. The general equation for this is 
 
 144 p 
 h = 
 
 where to = the weight of a cubic foot of water at the given 
 temperature and p = differential pressure in pounds per 
 square inch. 
 
 In pump service of this kind the pressure head, p. 
 against which the pump is acting, is not the result of the 
 static head of water in the system but is due to the inertia 
 of the water and to the resistance to the flow of water 
 
DISTRICT HEATING 247 
 
 through the piping system and the heaters. This frictional 
 resistance may be calculated as shown in Art. 147. Read 
 this part of the worlc over carefully. 
 
 For an illustration of combined pressure head, p, and 
 friction head, fif, see Art. 164 on boiler feed pumps. Having 
 found the /. H. P. of any pump, multiply it by the steam con- 
 sumption per /. H. P. hour and the result will be the steam 
 consumption of the pump. This exhaust steam will be con- 
 sidered a part of the general supply when figuring the size 
 of the exhaust steam heaters in the system. 
 
 The mechanical efficiency, E, of- piston pumps depends 
 upon the condition of the valves and upon the speed, and 
 varies from 90 per cent, in new pumps, to 50 per cent, in 
 pumps that are badly worn. A fair average would be 70 
 per cent. 
 
 The steam consumption for reciprocating, simple and 
 duplex non-condensing pumps would approximate 100 to 
 200 pounds of steam per /. H. P. hour — the greater values re- 
 ferring to the slower speeds. 
 
 162. Centrifugal Pumps: — Centrifugal pumps are of 
 two classifications, the Volute and the Turbine. The prin- 
 ciples upon which each operate are very similar. The ro- 
 tating impeller, or rotor, with curved blades draws the 
 water in at the center of the pump and delivers it from the 
 circumference. The rotor is enclosed by a cast iron case- 
 ment which is shaped more or less to fit the curvature of 
 the edges of the blades on the rotor. Centrifugal pumps 
 are used 'where large volumes of water are required at low 
 heads. They are used in city water supply systems, in cen- 
 tral station heating systems, in condenser iservice, in irri- 
 gation work and in many other places where the pressure 
 head operated against is not excessive. The efficiency of 
 the average centrifugal pump is from 65 to 80 per cent., 
 75 per cent, being not uncommon. In places where such 
 pumps are used the head is usually below 75 feet, although 
 some types, when direct connected to high speed motors, 
 are capable of operating against heads of several hundred 
 feet. 
 
 (Some of the advantages of centrifugal pumps over hor- 
 izontal ireciprocating pumps are: low first cost, simplicity, 
 few moving parts, compactness, uniform flow and pressure 
 of water, freedom from shock, possibilities of direct connec- 
 
 . 
 
248 HEATING AND VENTILATION 
 
 tion to high speed motors and the ability to handle dirty 
 water without injuring the pump. 
 
 One of the advantages of piston pumps over centrifugal 
 pumps is the fact that they are more positive in their 
 operation and work against higher heads. 
 
 Centrifugal pumps, when connected to engine and tur- 
 bine drives, benefit by the expansion of the steam and are 
 much more economical than the direct acting piston pump, 
 which takes steam at full pressure for nearly the entire 
 stroke. The amount of steam used in the pumps in central 
 station work, however, is not a serious factor, since all of 
 the heat in the steam that is not used in propelling the 
 water through the mains is used in -the heaters to increase 
 the temperature of the water. 
 
 The sphere of usefulness of the centrifugal pump in 
 central station heating is incre-asing. The direct acting 
 piston pump, when operating at fairly high speeds, causes 
 hammering and pounding in ithe transmission lines, and 
 these noises are sometimes conveyed to the residences and 
 become annoying to the occupants. This feature is not so 
 noticeable in the operation of the centrifugal pump. 
 
 Application. — In Art. 145 assume the capacity of the plant, 
 10 business squares and 21 residence squares, to require 
 184500 gallons of water per hour; the same to be pumped 
 against a pressure head, Art. 147, of 50 — 5 pounds, by 
 horizontal, direct acting piston pumps. Assume also the 
 s-team consumption of 'the pumps to be 100 pounds per /. H. P. 
 hour and the average temperature of the water at the 
 pumps to be (180 + 155) -=- 2 = 167.5 degrees. Apply for- 
 mula 93, where h = calculated total friction head for the 
 longest line in the system (this is designated by hf in Art. 
 147), or where p = total difference between the incoming 
 and the outgoing pressures. With the weight of a cubic 
 foot of water at 167.5 degrees = 60.87 pounds and with 
 p = 45, we have h = 106.5 feet, and the indicated horse-power 
 of the pumps, assuming 65 per cent, mechanical efficiency, is 
 
 184500 X 8.33 X 106.5 
 
 /. H. P. = = 127.2 
 
 33000 X .65 X 60 
 
 From this the steam consumption will probably be 12720 
 pounds per hour. 
 
 If centrifugal pumps were selected, the horse-power 
 would be calculated from the same formula, but the steam 
 
DISTRICT HEATING 249 
 
 consumption would probably be 30 to 40 pounds of steam 
 per horse-power hour because of the expansive working of 
 the steam. 
 
 163. City W«ter Supply Pumps; — Horizontal, direct act- 
 ing duplex pumps for use on city water supply service are 
 the same as those used to circulate the water in heating 
 systems; hence, the foregoing descriptions apply here. The 
 /. H. P. of the city water supply pumps would be calculated 
 by use of formula 93. If the pumps lifted the water from 
 the wells, as would probably be ithe case, the suction pres- 
 sure would be negative and would be added to the force 
 pressure. 
 
 Application. — ^Assume the pressure in the fresh water 
 mains 60 pounds and the suction pressure 10 pounds; 
 therefore, p = 60 — ( — 10) ■= 70 pounds, and with the water 
 at 65 degrees, h — 144 X 70 -f- 62.5 = 161 feet. These pumps 
 are each rated at 1.5 million gallons in 24 hours, and deliver 
 62500 X 8.33 = 520833 pounds of water per hour, when run- 
 ning at full capacity. Assuming each pump to deliver 75 per 
 cent, of the full requirement of the sys/tem, .the total amount 
 of water pumped per hour for the city water supply would 
 approximate 520833 -H .75 = 694444 pounds, and the total 
 average horse-power used in pumping the water would be 
 
 694444 X 161 
 
 I. E. P. = = 86.8 
 
 60 X 33000 X.65 
 
 With 100 pounds of steam per horse-power hour, this would 
 amount to 8680 pounds of steam available per hour for use 
 in heating the circulating water. 
 
 164. Boiler Peed Pumps: — Horizontal pumps for high 
 pressure boiler feeding are selected in a similar way to the 
 circulating pumps for the city water supply. Such units 
 are called auxiliary steam units and, because the steam re- 
 quired is small, they are sometimes piped to a feed water 
 heater for heating the boiler feed. The velocity 'Of the water 
 through the suction pipe is about 200 feet per minute and 
 in the delivery pipe about 300 feet per minute. The piston 
 speed, the strokes per minute and the slip would be very 
 much the same as stated under circulating pumps. Such 
 pumps should have a pumping capacity about itwice as great 
 as the actual boiler requirements, and in small plants where 
 only one pump is needed, the installation should be in 
 
250 HEATING AND VENTILATION 
 
 duplicate. The sizes of the cylinders and the efficiencies are 
 about as stated for the larger circulating pumps. 
 
 In determining the horse-power of a boiler feed pump, 
 four resistances must be overcome; i. e., pressure head, p. 
 or boiler pressure; suction head, h$; delivery head, hd; and 
 the friction head, hf. The first three values are usually 
 given. The friction head includes the resistances in all pip- 
 ing, ells and valves from the supply to the boiler. The fric- 
 tion in the piping may be taken from Table 37, Appendix, or 
 it may be worked out by formula 70. The friction in the ells 
 and valves is more difficult to determine and is usually stated 
 in equivalent length of straight pipe of the same diameter. 
 A rough rule used by some in such cases is as follows: 
 "to the length of the given pipe, add 60 times the nominal 
 diamete-r of the pipe for each ell, and 90 times the diameter 
 for each globe valve," then find the friction head as stated 
 above. A straight flow gate or water valve could safely be 
 •taken as an ell. For simplicity of calculation, all of the 
 above resistances may be reduced to an equivalent head, 
 such that 
 
 144 p 
 he = + hd + ht -{- hf (94) 
 
 where io = weight of one cubic foot of water at the suc- 
 tion tempeirature, w may be obtained from Table 8, Ap- 
 pendix, and hf may be taken from Table 37. The horse-power 
 by formula 93 then becomes, if TF = pounds of water pumped 
 per minute, 
 
 W X he 
 I. H. P. = (95) 
 
 33000 -B 
 
 Application. — Let p = 125 pounds gage, w = 62.5, ftd = 8 
 feet, h$ = 20 feet, horizontal run of pipe from supply to 
 pump = 20 feet, horizontal run of pipe from pump to boiler 
 = 30 feet; also, let the pump supply 89000 pounds of water 
 per hour to the boiler. This is twice the capacity of the 
 boiler plant. With this amount of water at the usual veloc- 
 ity it will give a suction pipe of 4.5 inches diameter, and a 
 flow pipe of 4 inches diameter. Let there be two ells and 
 one gate valve on .the suction pipe, and three ells, one globe 
 valve and one check valve on the delivery pipe. We then 
 have an equivalent of 107 feet of suction pipe, and lf^8 feet 
 of delivery pipe. Referring to Table 37, hf is approxi- 
 mately 7 feet, and the total head is 
 
DISTRICT HEATING 251 
 
 144 X 125 
 
 ^« = [- 8 + 20 + 7 = 323 feet. 
 
 62.5 
 
 In most boiler feed pumps it is considered unnecessary 
 to determine hf so carefully. A very satisfactory way is to 
 obtain the total head pumped against, exclusive of the 
 friction head, and add to lit 5 to 15 per cent,, depending 
 upon the complications in the circuit. Substituting th« 
 above in formula 95, we obtain 
 
 89000 X 323 
 /. U. P. = = 22.3 
 
 60 X 33000 X .65 
 
 Work out the value of hf by formula 70 and see how 
 nearly it checks with the above.. 
 
 165. Boilers: — A number of boilers will necess^arily be 
 installed in a plant of th'«* kind, and a good arrangement is 
 to have them so piped with water and steam headers that 
 any number of the boilers may be used for steaming pur- 
 poses and the rest as water heaters. They should also be so 
 arranged that any of the boilers may be thrown out of 
 service for cleaning or repairs and still carry on the work 
 of the plant. By doing this the boiler plant becomes very 
 flexible and each boiler is an independent unit. Any good 
 water tube boiler would serve the purpose, both as a steam- 
 ing and as a heating boiler. Where the boilers are used as 
 heaters, the water should enteT at the bottom and come out 
 at the top. Where the water enters at the top and comes 
 out at the bottom, the excessive heating of the front row of 
 tubes retards the circulation of the water by ithis heat, and 
 produces a rapid circulation through the rear tubes where the 
 heat is the least. This rapid circulation in the rear tubes is 
 not a detriment, but it is less needed there than in the front 
 ones. It would be decidedly better if the rapid circulation were 
 in the front row, causing the heat from the fire to be carried 
 off more readily, and by this means giving less danger of 
 burning the tubes. In the latter case the forced circulation 
 from the pumps will be aided by the natural circulation 
 from the heat of the fire, and the life of all the tubes then 
 becomes more uniform. Fig. 118 shows a typical header 
 arrangement. 
 
 Boilers are usually classified as fire tube and water tube. 
 Fire tuhe hoiUrs are usually of the multitubula.r type, having 
 the flue gases passing through the tubes and water sur^ 
 
252 HEATING AND VENTILATION 
 
 rounding them. Water tube boilers have the water passing- 
 through the tubes and the flue gases surrounding tliem. 
 The heating surface of a boiler is composed of those boiler 
 plates having the heated flue gases on one side and the water 
 on the other. A boiler horse-poiccr may be taken as follows: 
 
 Centennial Rating. 
 One B. H. P. = 30 pounds of water evaporated from feed 
 water at 100° F. to steam at 70 pounds gage pressure. 
 A. S. M. E. Rating. 
 
 One B. H. P. = 34.5 pounds of water evaporated from 
 and at 212' F. 
 
 In laying out a boiler plant some good approximations 
 for the essential details are: 
 
 One B. H. P. = 11.5 square feet of heating surface 
 
 (multitubular type). 
 One B. H. P. = 10 square feet of heating surface 
 
 (water tube type). 
 One B. H. P. = .33 square foot of grate surface 
 
 (small plant, say one boiler). 
 One B. H. P. = .25 square foot of grate surface 
 
 (medium sized plant, say 500 H. P.). 
 One B. H, P. = .20 square foot of grate surface 
 
 (large plants). 
 Pounds of water evaporated per square foot of heating 
 surface per hour = 3 (approx, value). 
 
 166. Square Feet of Hot AVater Radiation that can be 
 Supplied on a Zero Day by One Boiler Horse-Po^ver vrhen the 
 Boiler is Used as a Heater: — Assuming that the coal us^ed in 
 the plant has a heating value of 13000 B. t. u. per pound, 
 and that the efficiency of the boiler is 60 per cent., each 
 pound of coal will transmit to the water 7800 B. t. u. Since 
 each pound of water takes up 25 B. t, u. on its passage 
 through the heating boiler, one pound of coal will heat 312 
 pounds, or 37.5 gallons of water. This is equivalent to 
 supplying heat, under extreme conditions of heat loss, to 
 37.5 square feet of radiation for one hour. One boiler horse- 
 power, according to Art. 165, is equivalent to the expendi- 
 ture of 969.7 X 34.5 = 33455 B. t. u. Now since each pound 
 of coal transfers to the water 7800 B. t. u., one boiler horse- 
 power will require 33455 4- 7800 = 4.28 poumls of coal. If, 
 then, the burning of one pound of coal will supply 37.5 
 square feet of hot water radiation for one hour, one boiler 
 
DISTRICT HEATING 253 
 
 horse-power will supply 4.28 X 37.5 = 160 square feet for one 
 hour, and a 100 H. P. boiler will supply 16000 square feet 
 of water radiation in the district for the same time. These 
 fig-ures have reference to boilers under good working con- 
 ditions and probably give average results. 
 
 167. Square Feet of Hot AVater Radiation in the District 
 that can be Supplied on a Zero Day by an E^conoinizer Lo- 
 cated in the Stack Gases bet^^een the Boilers and the Chim- 
 ney; — In order to make this estimate it is necessary first to 
 know the horse-power of the boilers, the amount of coal 
 burned per hour, the pounds of gases passing through the 
 furnace per hour and the heat given off from 'these gases 
 to the circulating water through the 'tubes. 
 
 Application. — Let C = pounds of coal burned per hour = 
 boiler ho-rse-power X pounds of coal per boiler horse-power 
 hour, Wa = pounds of air passed through the furnace per 
 pound of fuel burned, s ^= specific heat of the gases, U = tem- 
 perature of gases leaving boiler, ts = temperature of gases 
 leaving economizer, tw = temperature of water entering 
 economizer and tf = temiperature of w^ater leaving the econo- 
 mizer. Then, if 8.33 pounds of water will supply one square 
 foot of radiation for one hour we have 
 
 SX (GXWa+C) X(tb — ts) 
 
 Rm> = (96) 
 
 8.33 X (tf — tw) 
 
 Prom a previous statement, 44500 pounds of steam per 
 hour are generated in the steam boiler plant at a pressure 
 of 125 pounds gage. To find the boiler horse-power let the 
 total heat of the steam, above 32° at 125 pounds gage, be 
 1191.8 B. t. u., and let the temperature of the incoming feed 
 water to the boilers be 60 degrees. (In mos't cases the feed 
 water will be at a higher temiperature, but s'ince it will occa- 
 sionally be as low as 60 'degrees, this value will be a fair 
 one.) The heat put into a pound of steam under these con- 
 ditions is 1191.8 — (60 — 32) = 1163.8 B. t. u., and in 44500 
 pounds it will be 51789100 B. t. u. Since one horse-ipower of 
 boiler service is equivalent to 33455 B. t. u., we will need 
 51789100 -^ 33455 = 1548 boiler horse-power. This horse- 
 power will take oare of all the engines and puimps im the 
 plant. If the coa'l used contains 13000 B. t. u. per pound 
 and the boilers have 60 per cent. efl[iciency, then 7800 B. t. u. 
 Will be given to the water per pound of fuel burned, and 
 
254 HEATING AND VENTILATION 
 
 the amount of coal burned per hour will be 51789100 -;- 7800 
 = 6640 pounds. This gives 6640 -H 1548 = 4,3 pounds of fuel 
 per boiler horse-power hour, and 6.7 pounds of water evap- 
 orated per pound of fuel. If the flue gases have 12 per cent. 
 OO2, there are used acco^rding to expenimental data, about 
 21 pounds of air or 22 pounds of the gases of combustion, 
 per pound of fuel burned. This is equivalent to 6640 X 22 
 = 146080 pounds of flue gases total. Suppose now tliat these 
 gases leave the furnace for the chimney at a temperature 
 of 550 degrees F., that the economizer drops the tempera- 
 ture of the gases down to 350 degrees (a condition which is 
 very reasonable) and that the specific heat of the gases is 
 about .22, we have 146080 X .22 X (550 — 350) = 6427520 
 B. t. u. given off from the gases per hour in passing through 
 the economizer (see numerator in formula 96). This heat 
 is taken up by the circulating water in passing through the 
 economizer toward the outgoing main. Now if the water, 
 as it returns from the circulating system, enters the econo- 
 mizer at 155 degrees, and leaves at 180 degrees, we will have 
 6427520 -^ (180 — 155) = 257100 pounds of water heated per 
 hour. This is equivalent to supplying 257100 -^ 8.33 = 30864 
 square feet of radiation per hour when the plant is running 
 at its peak load. Taking the "pounds of steam per hour" in 
 the above as the only variable quantity, we are fairly safe 
 in saying that the heat in the chimney gases from one horse- 
 power of steaming, boiler service will supply, through an 
 economizer, 30864 -¥■ 1548 = 20 square feet of radiation in the 
 district. In plants where only 7 pounds of water are allowed 
 to each square foot of radiation per hour, this becomes 23.8 
 square feet of radiation instead. 
 
 168. Square Feet of Kcononilzer Surface Required to 
 Heat the Circulating Water In Art. l«7:.^Let A' = the coeffi- 
 cient of heat transmission through clean cast iron tubes and 
 E = the efficiency of the tube surface when in average serv- 
 ice, also let the terms for the temperatures of the gases 
 and the circulating water be as given in Art. 167, then 
 
 Heat trans, per hour from gases to water 
 Re = (97) 
 
 rib + ts tf + tw 
 
 
 ) 
 
 This formula assumes that the rate of heat flow through 
 the tubes l.s the same at all points. As a matter of fact this 
 rate changes slightly as the water becomes heated, but 
 
DISTRICT HEATING 255 
 
 the error is not worth mentioning in such a formula, where 
 
 the efficiency of the surface may be anything from 100 per 
 
 cent. In new tubes, to as low as 30 or 40 per cent, for old 
 
 ones. 
 
 Applicatiox, — Let K =^ 1 and E = A, then 
 
 6427520 
 
 Re = = 8125 sq. ft. 
 
 / 550 + 350 180 + 155 \ 
 ,X.4X( ^— ) 
 
 With 12 square feet of surface per tube this gives 677 tubes. 
 
 169. Square Feet of Economizer Surface to Install -when 
 the Economizer is to be Used to Heat the Feed Water for 
 the Steaming Boilers: — If 30 pounds of feed water are fed 
 to the boiler per ihorse-power hour, and it K = 7, E = .4, 
 tb = 550, U = 350, tf = 250, and tw = 90 (about the lowest 
 temperature at which water should enter the economizer), 
 then the square feet of surface per horse-power is 
 
 30 X (250 — 90) 
 
 Re = = 6.1 sq. ft. 
 
 / 550 + 350 250 + 90 \ 
 
 7 X .4 X ( ) 
 
 V 2 2 / 
 
 170. Total Capacity of the Boiler Plant and the Xumber 
 of Boilers Installed: — The following discussion on the size 
 of the boiler plant is purely for illustrative purposes and 
 is intended to show how such problems may be analyzed. 
 In most cases the exhaust steam, and the economizer, if used, 
 wil'l fall far short of supplying the total radiation in the 
 district, especially when the electrical output is light and 
 the weather is cold. Suppose it be desired to install extra 
 boilers to be used as heaters for the radiatlion not 'supplied 
 from these two sources. To determine the amount of ex- 
 tra boilers, find 'the amount of radiation to be supplied by 
 the exhaust steam and the economizer and subtract this 
 from the total radiation. The difference musit be supplied 
 by boilers used as heaters. It is probably not safe to esti- 
 mate too closely on the amount of exhaust steam given to 
 the heating system. The maximum amount of 44500 pounds 
 per hour was obtained, in this case, by pumping one gal- 
 lon of water per hour for each square foot of radiation and 
 by pumping city water, in addition ta that obtained from 
 the engines. In heating, a less amount of water than this 
 miay be circulated even on the coldest day. This is possi- 
 ble, first, because water may be carried at a higher tern- 
 
256 HEATING AND VENTILATION 
 
 perature than that stated, and second, because there may 
 be less loss of heat in the conduit, thus giving more heat per 
 giallon of water to the radiation. Again, in estimating for 
 a city water supply, the demands are not very constant and 
 are difficult to estimate. In this one design it was "thought 
 that 44500 pounds per hour was a very liberal allowance 
 and could be dropped to 35000 pounds (140000 square feet 
 of radiation), when estimating the amount of radiation 
 supplied by the exhaust steam. 
 
 By Fig. 113 it will be seen that the minimum load on the 
 steaming boilers carries through six hours out of the entire 
 twenty-four and that the exhaust steam at this time drops 
 to 22890 pounds per hour, supplying 91560 square feet of 
 radiation. This minimum load is 51 per cent, of the max- 
 imum, and 66 per cent, of the amount taken as an average, 
 i. e., 35000. The work done by the economizer is fairly con- 
 stant, since the amount of economizer surface lost by the 
 steaming boilers under minimum load would be made up 
 by the additional heating boilers thrown into service. On 
 the basis of 35000 pounds per hour, the exhaust steam and the 
 stack gases together would heat 170960 square feet and 
 there would be left 13540 square feet (184500 — 20 X 1548 
 — 4 X 35000), to be heated by additional boilers. Under 
 minimum load this would be approximately 122500, leaving 
 62000 square feet to be heated by additional boilers. If one 
 boiler horse-power supplies 160 square feet of radiation, 
 then it would require 84 and 387 boiler horse-power re- 
 spectively to supply the deficiency and the total horse-power 
 needed in each case would be 1632 and 1935. A more satis- 
 factory analysis, however, is the following which is worked 
 on the basis of 44500 pounds per hour. 
 
 Let Wi = total number of pounds of steam used In the 
 plant per hour = approximate number of pounds of exliaust 
 steam available for heating the circulating water per hour; 
 We = equivalent number of pounds of steam evaporated from 
 and at 212°; \ = total heat, above 32°, in one pound of dry 
 steam at the boiler pressure; q' = total heat, above 32°, in 
 one pound of feed water entering the boiler; then, if the 
 latent heat of steam at atmiospheric pressure = 969.7 B. t. u., 
 we have 
 
 TF. (\ — (t) 
 
 We = (98) 
 
 969.7 
 
DISTRICT HEATING 
 
 257 
 
 
 and the corresponding boiler horse-power needed as steam- 
 ing boilers will be 
 
 We 
 
 Bs. H. p. = (99) 
 
 34.5 
 
 Next, the radiation in the district that can be supplied 
 by the exhaust steam is Rw = 4 Ws, and the amount sup- 
 plied by the economizer is Re = 20 X B. H. P. From which 
 we may obtain the capacity of the heating boilers, as 
 
 Bw. H. P. = 
 
 Total Radiation — 4 TF* 
 
 20 B. H. P. 
 
 160 
 
 (100) 
 
 The total boiler horse-power of the plant is, therefore, the 
 sum of Bs. H. P. and Bw. U. P. To obtain formula 100 for any 
 specific case one must consider the maximum and minimum 
 comdlitions of the steaming boiler plant. Let Ws (max) = 
 miaximum exhaust staam, and Ws (min) = minimum exhaust 
 steam. Then for the two following conditions we have, 
 Case 1, where the steaming and heating toilers are independent of 
 each other, the total boiler horse-power installed = Bs. H. P. 
 + [total radiation — 4 TF* (min) — 20 X 5. H. P. in use] -r- 
 160. Also, Case 2, where a part or all of the steaming boilers are 
 piped for both steaming and water service, the total boiler horse- 
 power installed = Bs. E. P. + [total radiation — 4 Ws (max) 
 — 20 X B. H. P. in use] ^ 160. It will be noticed that ithe last 
 term representing the economizer iservioe is simply stated 
 as boiler horse-power and no distinction is made between 
 steaming or heating service. This term is difficult ito esti- 
 mate to an exact figure because it should be the total horse- 
 power in use at any one time, both steamdng and heating, 
 and this can only be obtained by approximation. It makes 
 no difference wbat service the boiler may be used for, the 
 work of the economizer is practically the same. Probably 
 the most satisfactory way is to substitute the value of 
 Bs. H. P. for B. H. P. in the economizer and get the approxi- 
 mate total horse-power, then if this approximate total horse- 
 power (differs very much from that actually needed, other 
 trials may be made and new values for the total horse-power 
 obtained until the equation is satisfied. 
 
268 HEATING AND VENTILATION 
 
 Application. — Let TT. = pounds of exhaust sleam, X = 
 1191.8 (125 pounds ga.go pressure), and q' = 28 (feed water 
 at 60""); then when W. = 44500 
 
 . We = 53400 
 Bm. H. p. = 1548 
 
 184500 — 4 X _- .. 
 
 Bw. n. p. Case 1 = = 387 
 
 184500 - 
 
 - 4 X 
 
 22890 - 
 
 — 20 
 
 X 
 
 1548 
 
 
 
 160 
 
 
 
 
 184500 - 
 
 - 4 X 
 
 44500 - 
 
 - 20 
 
 X 
 
 1548 
 
 Bw. II. P. Case 2 = = —153 
 
 160 
 
 This shows that there is an excess of waste heat in Case 2, 
 making a total boiler horse-power, Case 1, = 1935 and Case 
 2, = 1548. Investigating Case 1 to see what error was intro- 
 duced by using 1548 in the economizer, we find approximately 
 800 horse-power of steam boilers in use, and the total horse- 
 power to be 1187, which is about 360 horse-power on the 
 unsafe side. Substitute again and check results. Case 2 Is 
 reasonably close. In any case 'the most economical size of 
 boiler plant to install in a plant requiring both steaming and 
 heating boilers is one where at least a part, if not all, of the 
 boilers are piped so as to be easily changed from one system 
 to the other. By such an arrangement the capacity may be 
 made the smallest possible. After obtaining the theoretical 
 size of the plant, it would be well to allow a small margin 
 in excess so that one or two boilers may be thrown out of 
 commission for repairs and cleaning without interfering 
 with the working of the plant. Case 2 seems to be the better 
 arrangement. Assuming 1800 total boiler horse-power we 
 might very well put in six 300 H. P. boilers arranged in three 
 batteries. 
 
 171. Cost of Heatlne from a Central Station (Direct 
 FIrlngr): — It will be of interest in d his connection to estimate 
 approximately the cost in supplying heat by direct firing to 
 one square foot of hot water radiation per year from the 
 average central station. In doing this make the boiler as- 
 sumptions to be the same as Art. 166. Take ooal at 13000 
 B. t. u. per pound, 2000 pounds per ton, and a boiler effi- 
 ciency of 60 per cent. Water enters the boiler at 155 degrees 
 from the returns, and is delivered to the mains at 180 de- 
 grees'. From the value of the ooal as stated, we have 
 15600000 B. t. u. per ton given off to the water. This is 
 
DISTRICT HEATING 
 
 259 
 
 POWER PLANT LAYOUT. 
 Fig. 118, 
 
260 HEATING AND VENTILATION 
 
 equivalent to heating 624000 pounds, or 74910 gallons, of 
 water. If one ton of coal costs $2.00 at the plant, we have 
 
 200 -f- 74910 = .0027 cents 
 
 This represents the amount paid to reheat one gallon of 
 w^ater, or to supply one square fO'Ot of heating surface one 
 hjour at an outside temperature of zero degrees. Take the 
 average temperature for the seven cold months at 32 de- 
 grees. This is the average for the co'ldest year in the twenty 
 years preceding 1910, as recorded at the U. S. Exp. Station, 
 I^aFayette, Indiana. We then bave an average difference 
 between the Inside and the outside temperatures in any 
 residence of 70 — 32 = 38. This makes the formula for 
 the heat loss, Art. 28, reduce to 38 -f- 70 = .54 of its former 
 value. Now, if It takes one gallon of water per square foot 
 of radiation per hour under maximum conditions, we have 
 for the seven months .54 X- 7 X 30 X 24 = 2722 gallons of 
 water needed for each square foot of radiation per each 
 heating year. This is equivalent to 2722 X .0027 = 7.35 cents 
 per square Coot of radiation for the heating year of seven 
 months. 
 
 When the plant Is working under the best conditions 
 this figure can be reduced. It can be done with boilers 
 of a higher efficiency than that stated, or by using a cheaper 
 coal, both of which are possible in many cases. 
 
 172. Cost of Heating: from a Central Station. Summary 
 of Tests: — The following tests were conducted upon the 
 Merchants Heating and Lighting Plant, LaFayette. In-d. ; one 
 in 1906 and the votlher In 1908. The plant was changed slight- 
 ly between the two tests and 'the radIatIo<n carried upon the 
 lines was much increased, although in all essential features 
 the plant was the .same. The circulating water was heated 
 by exhaust steam heaters and by heating boilers. 
 
 The plant had the following important pieces of appara- 
 tus employed in generating or absorbing the heat supply: 
 
 BOILERS (Steaming aind Heating). 
 
 Ttvo 125 n. P. Stirling boilens. Total heating surface 
 2524 sq. ft. 
 
 Three 250 U. P. Stirling boilers. Total heating surface 
 7572 sq. ft. 
 
 Pressure on steam boilers (gage), 150 lbs. 
 
 Pressure on heating boilers (approx.), 60 lbs. 
 
 i 
 
DISTRICT HEATING 
 
 261 
 
 ENGINES. 
 
 One 450 H. P. Hamilton Corliss comp. engine, direct con- 
 nected to a 300 K. W. Western Electric 72-pole alternating 
 current generator 120 R. P. M. This engine carried the load 
 of the plant when it was above 50 K. W., which was generally 
 from 5:30 A. M. to 11:30 P. M. When this unit was run, direct 
 current was obtained by passing the alternating current 
 through a motor generator set. 
 
 One 125 H. P. Westinghouse comp. engine, belted to one 
 75 K. W. 3-phase alternating and two direct current genera- 
 tors, and run at 312 R. P. M. This unit was generally run 
 between 11:30 P. M. .and 5:30 A. M. 
 
 One 250 H. P. Westinghouse comp. engine, belt connected 
 to a 200 K. W. generator and two smaller machines. 
 
 PUMPS. 
 
 One centrifugal, two-stage pump, Dayton Hydraulic Co., 
 direct connected to a Bate>s vertical high speed engine at 300 
 R. P. M. 
 
 Two Smitih-Vaile horizontal recip. duplex pumps 14 in. 
 X 12 in. X 18 in. Each of the three pumps connected to the 
 return main in such a way as to be able to use any combina- 
 tion at any one time to circulate the water. The centrifugal 
 pump had been in service only one season. It had a capacity 
 about equal to the two reciprocating pumps and under the 
 heaviest service this pump .and one of the duplex pumps 
 were run in parallel. 
 
 One Smith-Vaile horizontal reciprocating tank pump 
 6 in. X 4 in. X 6 in. to lift the water of condensation from 
 the exhaust heater to the tank. 
 
 One Smith-Vaile horizontal reciprocating make-up pump 
 6 in. X 4 in. X 6 in. to replace the water that was lost from 
 the system. 
 
 Two National horizontal reciprocating boiler feed pumps. 
 
 One 9^/^ in. Westinghouse air pump, to keep up the sup- 
 ply of air through the conduits to the regulator system in 
 the heated buildings. 
 
 One Deane vertical deep well pump, to deliver fresh 
 water to the .supply tank. 
 
 One Baragwanath exhaust steam heater or condenser, 
 having 1000 sq. ft. of heating surface. 
 
262 
 
 HEATING AND VENTILATION 
 
 PARTIAL SUMMARY OF RESULTS. 
 
 1906 1908 
 
 1. Square feet of radiation 118000 150000 
 
 2. Temperature of circulating water in 
 
 degrees F., flow main 158.36 164.4 
 
 3. Temperature of circulating water in 
 
 degrees F., return main 139.9 139.6 
 
 4. Temperature of circulating water in 
 
 degrees F., after leaving heater 145.6 147. 
 
 5. Temperature of outside air in de- 
 grees F 32.6 37.5 
 
 6. Temperature of stack gases in de- 
 grees F., steaming boiler 566.8 
 
 7. Temperature of stack gases in de- 
 grees F., heating boiler. 562. 656. 
 
 8. Draft in stacks (all botilers averaged) 
 
 in inches of water .689 .595 
 
 9. Heating value of coal in B. t. u. 
 
 per pound 12800 11565 
 
 10. B. t. u. delivered to steaming boiler 
 
 per hour by ooal 18187000 25833000 
 
 11. B. t. u. delivered to heating boilers 
 
 per hour by coal 19226000 27917000 
 
 12. B. t. u. delivered to circulating water 
 
 by heating boilers per hour 11800000 15405000 
 
 13. B. t. u. to be charged to heating boil- 
 ers (Item 12 — Item 15) 7650000 6934000 
 
 14. B. t. u. delivered to circulating water 
 by exhaust steam from the gener- 
 ating engines per hour 3600000 6602000 
 
 15. B. t. u. thrown away during test 
 from pump exhausts and available 
 
 for heating circulating water 4150000 8471000 
 
 16. B. t. u. available for heating circu- 
 lating water from all exhaust steam 
 as in normal runming (Item 14 + 
 
 Item 15) 7750000 15073000 
 
 17. Total B. t. u. given to circulating 
 
 water per hour (Item 13 + Item 16) . .15400000 22007000 
 
 18. Gallons of water pumped per hour 
 
 [Item 17 -7- (8.33 X Items 2— 3)] 100000 lOSOOO 
 
DISTRICT HEATING 
 
 263 
 
 19. Gallons of waiter pumped per square 
 foot of radiation per hour (Item 18 
 
 -=- Item 1) .85 .70 
 
 20. Efficiency of heating boilers (Item 
 
 12 -^ Item 11) approx .60 .55 
 
 21. Value of the coal in cents per ton of 
 
 2000 pounds at the plant 200. 175. 
 
 22. Average electrical horse-power 68 141 
 
 'Note. — The above values are averages and were taken 
 for each entire test. The B. t. u. values were considered 
 satisfactory when approximated to the nearest thousand. 
 
 173. Regulation: — The regulation of the heat within the 
 residences is best controlled from the power plant. In most 
 heating plants a schedule is posted at the power house whica 
 tells the engineer the necessatry temperature of the circu- 
 lating wtater to keep the interior of the residences at 70 
 degrees with any given outside temperature. The Merchants 
 Heating and Lighting Company mentioned above use the 
 following schedule: 
 
 Atmosphere Water Atmosphere Water 
 
 .60 deg. 120 deg. 10 deg. 190 deg. 
 
 50 " 140 " " 200 " 
 
 40 " 150 " — 10 " 210 " 
 
 30 " 160 " — 20 " 220 " 
 
 20 " 180 " 
 
 In addition, read the article by Mr. G. E. Chapman, pub- 
 lished in the Heating and Ventilating Magazine, August 
 1912, page 23, in which he describes the methods used in 
 regulating the Oak Park, 111. plant. 
 
 In some heating plants the regulation is by means of air 
 carried fro.m the compressor at the power hoXise through a 
 main running parallel with the water mains in the conduits 
 and branching to each building where it is used under a 
 pressure of 15 pounds to operate thermostats, which in turn 
 control the water inlets to 'the radiators. A closer regula- 
 tion 'is obtained in the latter system than in the former, but 
 i* iis needless to say that the 'thermiostats require careful 
 adjustments and frequent inspections. 
 
 Diaphragms or chokes having dlifferent sized orifices may 
 be placed on the return main from each building to X'egulate 
 the supply. Those buildings nearest to the power plant 
 have the advantage of a greater differential pressure than 
 
264 KEATING AND VENTILATION 
 
 those farther away, hence should have smaller diaphragms. 
 By increasing the resistance in the return line from any 
 building the water circulates more slowly and has time to 
 give off more heat to the rooms. With a high temperature 
 of the water and a careful adjustment of the diaphragms 
 it is possible to have the amount of water circulated per 
 square foot of radiation reduced much below one gallon per 
 square foot per hour. 
 
 STEAM SYSTEMS. 
 
 174. Heating by steam from a central station, compared 
 "With hot water heating, is a very simple process. The power 
 plant equipment is composed of a few inexpensive parts, the 
 operation of which is very simple and easily explained. 
 These parts have but few points that require rational de- 
 sign. Because of the simplicity and the similarity to the 
 preceding discussion on Hot water systems, the work on 
 steam systems will be very brief. All questions referring 
 to the construction of the conduit, the supporting of the 
 pipes, the provision fo-r contraction and expansion, the drain- 
 6ng of the pipes and conduits, are common to both hot 
 w^ater and steam systems and are discussed in Arts. 138 and 
 139. A large part of the work referring directly to district 
 hot water heating applies with almost equal force to steam 
 heating. This part of the work, therefore, will deal with 
 such parts of the power plant equipment as differ from 
 those of the hot water system. 
 
 Steam heating may be classified under two general 
 heads, high pressure and low pressure. A very small part 
 of the heating in this country is now done by what may be 
 strictly called higih pressure service, i. e., where radiators or 
 ooils are under pressures from 30 to 60 pounds gage, and 
 this small amount is gradually decreasing. Ordinarily, 
 steam is generated at high pressure at the boiler, 60 pounds 
 to 150 pounds gage, and reduced for line service to pressures 
 varying from to 30 pounds s&.ge, with a still further re- 
 duction at the building to pressures varying from to 10 
 pounds gage, for use in radiators and ooils. Where exhaust 
 steam is used in the main, the pressure is ntot permitted to 
 go higher than 10 pounds gage, because of the back pres- 
 sure on the engine piston. Where exhaust steam i-s not 
 used, the pressures may go as high as 30 pounds gage, thus 
 allowing for a greater pressure drop in the line and a corre- 
 
DISTRICT HEATING 
 
 265 
 
 spending reduction in pipe sizes. Yacuum returns may be ap- 
 plied to central station work the same as to isolated plants. 
 
 The principles involved in the power plant end of a 
 steam heating system may be represented by Fig. 119. It 
 will be seen that the exhaust steam from the engines or tur- 
 bines has four possible outlets. Pasising through the oil 
 separator, which removes a large part of the entrained oil, 
 part of the exhaust steam is turned into the heater for use in 
 heating the boiler feed water. The rest of the steam passes 
 on into the heating system. If there be more exhaust steam 
 than Is necessary to supply the heating system, the balance 
 may go to the atmosphere through the back pressure valve. 
 W.hen the heating system is not in use, as would be the case 
 in the four warm mionths of the year, the exhaust isteam may 
 be passed into the condenser. 
 
 I BYPASS AROUND METATCR 
 BACKPRESSURE VALVE 
 
 TO HEATER AND 
 BACK DRES5 VALVE V 
 
 EPaRATOR 
 
 TOHEATINO 
 SY3TEM 
 
 "TOCONDENSCR 
 
 ■TO SEWER 
 STEAM TRAP 
 
 LIVE 3TEAM 
 FROM BOILERS 
 
 Fig. 119. 
 
 It is very evident, from what has been said before, that 
 it Wiould not be economical to condense the steam in a 
 condenser as long as there is a posisibiMty of using it in the 
 heating system. The increased gain in efficiency, when con- 
 densing the exhaust steam under va-cuum, is very i&mall com- 
 pared to the gain when this same steam is used fo'r heating 
 purposes. It wiould be also very poor economy to use any 
 live steam for heating when there were any exhaust steam 
 wasted. When the anaount of exhaust is-team is inisufficient, 
 live &team is admiitted through a pressure reducing \Talve. 
 
 175. Drop in Pressure and the Diameter of the Mains:— 
 The flow of s'team in a pipe follows the sfoane general law as 
 
 i 
 
266 HEATING AND VENTILATION 
 
 the flow of water. Tlie loss of head may be represented 
 by the well known formula 
 
 hf = (101) 
 
 gd 
 
 w'here hf = loss of head In feet, <p = coefflaient of friction, 
 f = veloci'ty in feet per second, I = length of pipe in feet. 
 d = diameteo" of the pipe in feet and g = 32.2. Substitute, 
 Jif = 144 p -i- D, w'here p = drop in pressure in pounds and 
 D = density of the steam, and find 
 
 p = (102) 
 
 lAigd 
 
 The coefficient of friction is found to v^ary wfith the velocity 
 of the steam and with the diameter of the pipe. Prof. Unwin 
 found that for velocities of 100 feet per second (good prac- 
 tice for transmiission lines), it could be expressed as follows, 
 where c is a constant to be found by experiment, 
 
 <t> = c ( 1 + ) 
 
 \ 10 d / 
 
 which, when substituted in formula 102, gives 
 
 Iv^Dc / 3 
 
 -(^+ — ) 
 
 d \ 10 d / 
 
 (103) 
 
 12 g 
 
 Let W = pounds of steam passing per minute and di = diam- 
 eter of pipe in inches, then 
 
 1 / 3.6 \ W-lc 
 
 P = ( 1+ ) (104) 
 
 20.663 \ di / di^D 
 
 From this formula we may obtain any one of the three terms, 
 W, di or p, if the other two are known. Table 36, Appendix, 
 was compiled from formula 104 with c = .0027. For discus- 
 sion, see Trans. A. S. M. E., Vol. XX, page 342, by Prof. R. C. 
 Carpenter. Also Encyclopedia Britannica, Vol. XII, page 491. 
 See also, Kent, page 670, and Carpenter's H. & V. B., page 51. 
 It will be seen that Table 36 is compiled upon the basis 
 of one pound pressure drop, at an average pressure of 100 
 pounds absolute in the pipe. Since In any case the drop 
 in pressure is proportional to the square of the pounds of 
 eteam delivered per minute (other terms remaining con- 
 stant), the amount delivered at any other pressure drop 
 than that given (one pound) would be found by multiplying 
 
 I 
 
DISTRICT HEATING 26'/ 
 
 the amount g-iven in the table by the isquare root of the 
 desired pressure drop in pounds. Als-o, since the weight of 
 steam moved at the same velocity, under any other absolute 
 pressure, is approximiately proportional to the absolute pres- 
 sures (other terms remaining' constant), we have the 
 amount of steam moved under the given pressure, found by 
 multiplying the amount given "in the table by the square 
 root of ithe ratio of the absolute pressures. To illustrate the 
 use of the table — suppose the pressure drop in a 1000 foot 
 run of 6 linch pipe is 8 ounces, when the average pressure 
 within the pipe is 10 pounds gage. The am'Ount of steam 
 
 carried per minute is 93.7 X V.S -f- V^OO -^ 25 = 33 pounds. 
 Or, if the drop is 4 pounds, at an average inside pressure of 
 50 pounds gage, the amount carried would be 150 pounds 
 per minute. Conversely — find the diameter of a pipe, 1000 
 feet long, to carry 150 pounds of steam per minute, at an 
 average pressure of 50 pounds gage and a pressure drop of 
 8 ounces. 
 
 150 ilOO 
 
 W (table) = X - = 264 pounds 
 
 V:5 \ 66 
 
 which, according to the table, gives a 9 inch pipe. 
 
 176. Drippingr the Condensation from the Mains: — The 
 
 condensation of the steam, which takes place In the con- 
 duit mains, should be dripped to the sewer or the return 
 at certain 'specified points, through some form of steam 
 trap. These traps sihould be kept in first clas.s condition. 
 They should be Inspected every seven or ten days. No pipe 
 should be drilled and tapped for this water drip. The only 
 satisfactory way is to cut the pipe and insert a tee with 
 the branch Looking downward and leading to the trap. The 
 sizes of 'the traps and the distances between them can only 
 be determined when the pounds of condensation per running 
 foot of pipe can be estimated. 
 
 177. Adaptation to Private Plants: — Distnict steam 
 beating systems miay be adapted to private hot water plants 
 by the use 'Of a "transformer." This in principle i'S a hot 
 water tube heater which takes 'the place 'Of the hot water 
 heater of the system. It may also be adapted to warm air 
 systems by putting the steam through indirect coils and 
 taking the air supply from over 'the coils. 
 
 . 
 
268 HEATING AND VENTILATION 
 
 178. General Application of the Typical Deslgrm — The 
 
 following brief applications are meant to be suggestive of 
 the method only, and the discussions of the various points 
 are omitted. 
 
 Square feet of radiation in the district. — 
 
 Rs = 184500 X 170 -> 255 = 123000 square feet. 
 
 Amount of heat needed in the district to supply the radiation for 
 one hour in zero weather. — 
 
 Total heat per hour = 123000 X 255 = 31365000 B. t. u. 
 
 Amount of heat necessary at the power plant to supply the radia- 
 tion for one hour in zero weather. — Assuming 15 per cent, heat 
 loss in the conduit (this is silightly less than that allowed for 
 the hot water two-pipe system, 20 per cent.), we have 
 31365000 -T- .85 = 36900000 B. t. u. per hour. 
 
 Total exhaust steam available for heating purposes. — 
 
 Ws (max.) = (23100 + 8680) X 1.15 = 36547 pounds per hour. 
 W$ (m-in.) = ( 1490 + 8680) X 1.15 = 11696 pounds per hour. 
 
 Total B. t. u. available from exhaust steam per hour for heating.— 
 Let 'the average pressure in the line be 5 pounds gage and 
 let the water of condensation leave the indirect coils in the 
 residences at 140 degrees. We then have from one pound of 
 exhaust steam, by formula 72, 
 
 B. t. u. = .85 X 960 + 195.6 — (140 — 32) = 903.7 
 Assuming this to be 900 B, t. u. per pound, the total available 
 heat from the exhaust steam for use in the heating system 
 is, maximum total = 32892300 B. t. u. and the minimum total, 
 = 10526400 B. t. u. 
 
 Square feet of steam radiation that can he supplied by one pound 
 of exhaust steam at 5 pounds gage. — 
 
 R3 = 900 -7- (255 -e- .85) = 3. 
 
 Total B. t. u. to be supplied by live steam, — 
 B. t. u. (max. load) = 36900000 — 32892300 = 4007700 B. t. u. 
 B. t. u. (min. load) = 36900000 — 10526400 = 26373600 B. t. u. 
 
 Total pounds of live steam necessary to supplement the exhaust 
 steam. — Let the steam be generated in the boiler at 125 
 pounds gage. With feed water a»t 60 degrees 
 
 Max. load = 4007700 -f- 1163.8 = 3444 pounds. 
 
 Min. load = 26373600 -=- 1163.8 = 22661 pounds. 
 
DISTRICT HEATING 
 
 269 
 
 Boiler horse-power needed for tlie steam power units. — As in 
 Arts. 167 and 170, 
 
 Bt. H. P. (max.) = 36547 X 1.2 4- 34.5 — 1271. 
 B*. H. P. (min.) = 11696 X 1.2 -r- 34.5 = 407. 
 Total boiler horse-power needed in the plant. — 'Maxinium load. 
 B. H. P. (total) = 1271 + (3444 X 1.2 4- 34.5) = 1391. 
 
 It will be noticed that this total horse-power is 157 
 hoTse-power less than the corresponding Case 2 in Art. 170. 
 This is accounted for by the fact that no steam is used up in 
 work dn the circulating pumps, also that the conditions of 
 S'team generation and circulation are slightly different. 1500 
 boiler horse-power would probably be installed in this case. 
 
 Size of conduit mains. — Let it be required to find the 
 diameters of the main system in Fig. 115 at the important 
 points shown. Art. 147 gives the length of the mains in each 
 part. Allow .3 pound of steam far each square foot 'Of steam 
 radiation per hour ('this will no doubt be .sufficient to supply 
 the radiation and conduit losses). Try first, that part of the 
 line between the power plant and A, with an average steam 
 pressure in the lines of about 5 pounds gage and a drop In 
 pressure of 1^ ounces per each 100 feet of run (approxi- 
 mately 5 pounds per mile). 25200 pounds per hrour gives 
 W = 420. The length of "this part of the line is 200 feet and 
 the drop is 3 ounces, or .19 pound. 
 
 W (table) = 
 
 420 
 
 X 
 
 
 2158 pounds 
 
 V.19 
 
 which gives a 15 inch pipe. 
 
 Following out the same reasoning for all parts of the 
 line, we have 
 
 TABLE XXVIII. 
 
 |P P to A I A to B I B to C I C to D | D to E 
 
 Distance between points 
 
 Radiation supplied, sq. ft 
 
 Pressure-drop in pounds ^p 
 
 Diameter of pipe in inches, by table.. 
 
 200 
 
 500 
 
 1500 
 
 1500 
 
 84000 
 
 57000 
 
 34000 
 
 19000 
 
 .19 
 
 .47 
 
 1.4 
 
 1.4 
 
 15 
 
 13 
 
 11 
 
 9 
 
 500 
 8000 
 .47 
 S 
 
 In general practice, these values would probably be 
 taken 16, 14, 12, 10 and 6 inches respectively. Ijook up 
 Table 36, Appendix, and check the above figures. 
 
270 HEATING AND VENTILATION 
 
 REFERENCES. 
 References on nistrlot Heating:. 
 
 Technical Books. 
 
 Allen, Notes on Heating and Yentilation, p. 131. 
 Gifford, Ventral Station Heating. 
 
 Technical Periodicals. 
 
 Engineering News. Comparison of Costs of Forced-Circula- 
 tion Hot Water and Vacuum -St earn Central Heating Plants, 
 J. T. Maguire, Dec. 23, 1909. p. 692. Design of Central Hot- 
 Water System with Forced-Circulation, J. T. Maguire, Sept. 
 2, 1909, p. 247. Engineering Revieic. Determining Depreciation 
 of Underground Heating Pipes, W. A. Knight, Jan. 1910, 
 p. 85. Some Remarks on District Steam Heating, W. J. Kline, 
 April 1910, p. 61. Toledo Yaryan System, A. C. Rogers, May 
 1910, p. 58. Some of the Factors that Affect the Cost of 
 Generating and Distributing Steam for Heating, C. R. Bishop, 
 Aug. 1910, p. 56. Central Station Heating Plant at Craw- 
 fordsville, Ind., B. T. Gifford, Dec. 1909, p. 42. Wilkesbarre 
 Heat, Light and Motor Co., A Live Steam Heating Plant, 
 J. A. WUiite, July 1908. p. 32. The Heating and Ventilating 
 Magazine. Schott Systems of Central Station Heating, J. C. 
 Hornung, Nov. 1908, p. 19. Data on Central Heating Sta- 
 tions, Nov. 1909, p. 7. Cost of Heat from Central Plants, 
 March 1909, p. 31. Steam Heating in Connection w^ith Cen- 
 tral Stations, Paul Mueller, Oct. 1909, p. 24; Nov. 1909, p. 1. 
 A Modern Central Hot WTater Heating Station, W. A. Wolls, 
 July 1910, p. 15. Central Station Heating. F. H. Stevens, June 
 1910, p. 5. The Profitable Operation of a Central Heat- 
 ing Station without the Assistance of Electrical or Other 
 Industries, Byron T. Gifford, Aug. 1910. Central Station 
 Heating, Byron T. Gifford, Apr. 1911. Central Power and 
 Heating Plant for a Group of School Buildings, May 1910. 
 Domestic Engineering. Report of Second Annual Conven- 
 tion of the National District Heating Association at 
 Toledo. O., June 1, 1910. Vol. 51, No. 11, June 11. 1910, p. 255. 
 The Metal Worker. Central District Steam Heating from 
 Hill Top. Jan. 15, 1910, p. 78. Central Heating at Crawfords- 
 ville, Ind., July 30, 1910, p. 135. Data of 77 Central Station 
 Heating Plants, Sept. 4, 1909, p. 48. Hot Water Heating. 
 Teupitz, Germany, Sept. 25, 1909, p. 45. High Pressure 
 Steam Distribution, Munich, Germany, Oct. 2, 1909. p. 48. 
 Central Plant Solely for Residence Oct. 16, 1909, p. 50. 
 Two Types of Central Heating Plant Compared, Apr. 9, 1910. 
 Central Heating at Crawfordsville, Indiana, July 30, 1910. 
 The Engineering Record. District Heatdng, July 15, 1905. Econ- 
 omies Obtainable by Various Uses of Steam in a Combined 
 Power and Heating Plant, Feb. 18, 1905. A Study for a 
 Central Power and Heating Plant at Washington, Feb. 11, 
 1905. Utilization of Vapor of Steam Heating Returns, Oct. 
 22, 1904. A Central Heating. Lighting and Ice-Making Sta- 
 tion, Gulfport, Miss., Feb. 27, 1904. Purdue Unlversltv Cen- 
 tral Heating and Power Station, Jan. 30. 1904. A Central 
 Hot-Water Heating Plant in the Boston Navy Yard, July 
 16, 1904. Power. Combined Central Heating and Electric 
 Plants, Edwin D. Dreyfus, Aug. 20. 1912. 
 
 I 
 
CHAPTER XIV. 
 
 TEMPERATURE CONTROL. IN HEATING SYSTEMS. 
 
 179. From tests that have been conducted on heating 
 systems, it has been shown that there is less loss of heat 
 from buildings supplied by automatic temperature contTol, 
 than from buildings where there is no such control. A uni- 
 form temperature within the building is desirable from all 
 points of view. Where heating systems are operated, even 
 under the best conditions, without such control, the effi- 
 ciency of the system would be increased by its application. 
 No definite statement can be made for the amount lOf heat 
 saved, but it is safe to say that it is between 5 and 20 per 
 cent. A building uniformly heated during the entire time, 
 requires less heat than if a certain part or all of the build- 
 ing were occasionally allowed to cool off. When a building 
 falls below normal temperature it requires an extra amount 
 of heat to bring it up to normal, and when the inside tem- 
 perature rises above the normal, it is usually lowered by 
 opening windows and doors to enable the heat to leave rap- 
 idly. High inside temperatures also cause a correspondingly 
 'increased radiation loss. Fluctuations of temperature, there- 
 fore, are not only undesirable for the occupants, but they 
 are very expensive as well. 
 
 180. Principles of the System: — Temperature control may 
 be divided into two general classifications, — small plants 
 and large plants. The control for small plants, i. e., such plants 
 as contain very few heating unitSj is accomplished by regu- 
 lating the drafts by special dampeo-s at the combustion 
 chamber. This method controls merely the process of com- 
 bustion and has no especial connection with individual reg- 
 isters or radiators, it being assumed that a rise or fall of 
 temperature in one room is followed by a corresponding 
 effect in all the other rooms. This method assumes that all 
 the heating units are very accurately proportioned to the 
 respective rooms. The dampers are operated thr>ough a sys- 
 tem of levers, which system in turn is controlled by a ther- 
 mostat. Fig. 120 shows a typical application of such regu- 
 
272 
 
 HEATING AND VENTILATION 
 
 Figr. 120. 
 
 latlon. This may be ap- 
 plied to any system of 
 heat. In addition to the 
 thenmostaitic control 
 from the room to the 
 damper, as has just been 
 mentioned, closed hot 
 water, steam and vapor 
 systems should have 
 
 ^ ^ regulation from the 
 
 ^ — CM pressure within the 
 boiler to the draft. Oc- 
 casionally in the mjorn- 
 i n g- the pressure In 
 either system may be- 
 come excessive before 
 the house is heated 
 enough for the thermo- 
 stat to act. With such 
 
 additional -regulation no hot water heater or steam boiler 
 would be forced to a dangerous pressure. Fig. 121 shows a 
 thermostat manufactured by the Andrews Heating Co., Min- 
 neapolis. The complete regulator has in addi- 
 tion to this, two cells of open circuit baittery 
 and a motor box, all of which illustrate very 
 well the thermostatic damper control. 
 
 The thermostat operates by a differential 
 expansion of the Iwo different metals com- 
 posing the spring at the top. Any change In 
 temperature causes one of the metals to ex- 
 pand or contract more rapidly than the other 
 and gives a vibrating movement to the project- 
 ing arm. This is connected with the batteries 
 and with the motor in such a way that when 
 the pointer closes the contact with either one 
 of the contact rosts, a pair of magnets in the 
 ^\=^ ^ motor causes a crank crm to rotate through 
 V ^^ 180 degrees. A flexible connection between this 
 Fig 121 crank and the damper causes the d-amper to 
 open or close. A change in temperature In 
 the opposite direction makes contact with the other post 
 end reverses the movement of the crank and damper. The 
 fnovemejit of the arm between the contacts is very isniall thua 
 
TEMPERATURE CONTROL 
 
 273 
 
 making" the thermostat very sensitive. No work is required 
 of the battery except that necessary to release the motor. 
 
 Occasionally it is desira- 
 able to connect email heat- 
 ing plants having- only one 
 thermostat in control, to a 
 central station system. Fig. 
 122 showis how the supply 
 of heat may be controlled 
 by the above method. 
 
 Fig. 123 shows the Syl- 
 phon Damper Regulator 
 made by The American 
 Radiator Co., and applies 
 to steam pressure control. 
 The longitudinal expansion 
 of a corrugated brass or 
 copper cylinder operates 
 the damper through a sys- 
 tem of levers. The longitu- 
 dinal movement of the cyl- 
 inder is small and hence 
 the bending of the metal 
 in the walls of the cylinder 
 is very slight. This small 
 movement is multiplied 
 
 Fig. 122. 
 
 Fiff. 123. 
 
274 
 
 HEATING AND VENTILATION 
 
 Ihrough the system of levers to the full amount necessary 
 to operate the damper. A similar device is made by the 
 same company for application to hot water heaters. 
 
 Temperature control in large plants, L e., thofie plants having 
 a large number of heating units, is much more complicated. 
 In furnace systems this is very much the same as described 
 under small plants, 'with additional dampers placed in the 
 air lines. The following discussions, therefore, will apply 
 to hot water and steam systems, and will be additional to the 
 control at the heater and boiler as discussed under small 
 plants. Fig. 124 shows a typical layout of euch a ej-stem. 
 Compressed air at 15 pounds per square inch gage is main- 
 tained in cylinder, S», which is loca<ted in some convenient 
 
 Fig. 125. 
 
 Fig. 124. ' ^3^ 
 
 place for the attendant. This air is car- 
 ried to the thermostat, Tk, on one of the 
 protected walls in the room. Here it 
 I>asses through a controlling valve and 
 is then led to the regulating valve on the 
 (radiator. Thts air acts on the top of a 
 rubber diaphragm as shown in Fig. 125 
 to close the valve and to cut off the sup- 
 ply. When the room cools off, the con- 
 trolling valve at Tk cuts off the supply 
 and opens the air line to the radiator. 
 This removes the air pressure above the 
 
TEMPERATURE CONTROL 275 
 
 diaphragm and permits the stem of the valve to lift. On the 
 opening of the valve the steam or water again enters the 
 radiator and the cycle is completed. 
 
 Fig. 96 shows the application of the thermostatic control 
 to the blower work. This shows the thermostat B and the 
 mixing dampers, located at the plenum chamber, in the 
 single duct system. The same general arrangement could 
 be applied to the double duct system, with the dampers in 
 the wall at the base of the vertical duct leading to the 
 room. 
 
 181. Some of the Important Points in the Installation:-— 
 
 Each radiator has its own regulating valve. All rooms 
 having three radiators or less are provided with one thermo- 
 stat. Large room'S having four or more radiators have two or 
 mo-re thermostats with not more than three radiators to the 
 thermostat. Where other motive power is not available fo.r 
 the 'air supply, a hydraulic compressor is used. This com- 
 pres-sor automatically rmaintainis the air pressure at 15 
 pounds gage in the steel supply tank. The main air trunk 
 lines 'are galvanized iTon, % and Vz inch in diameter, and 
 are tested under a pressure of 25 pounds gage. All branch 
 pipes are % and % inch galvanized iron. All fittings on 
 the Vs inch pipes are usually brass. Wthere flexible connec- 
 tions are made, this is sometimes done by armoured lead 
 piping. Thermiostats are usually pirovided with metallic 
 covers, and are finished to correspond with the hardware of 
 the respective rooms. Each thermostat is provided with a 
 thermometer and a scale for making adjustments. Each 
 radiator is provided with a union diaphragm valve having 
 a specially prepared rubber diaphragm with felt protection. 
 This valve replaces the ordinary radiator valve. One of 
 these valves iis used on the end of each hot water radiator, 
 one on each one-pipe steam radiator and two on each two- 
 pipe low pressure steam radiator. This last condi'tion does 
 not hold for two-pipe steam radiators with mechanical 
 vacuum returns, 'in which case patented specialties are 
 applied by the vacuum company. In such cases the s-upply 
 to the radiator only is controlled. In any first class system 
 of control, the temperature of the room may easily be kept 
 within a maximum fluctuation of three degrees. 
 
 182. Some Special Designs of Apparatus: — All teniipera- 
 ture control work is solicited by specialty companies, each 
 having a patented system. In the essential features these 
 
 . 
 
•76 
 
 HEATING AND VENTILATION 
 
 systems all agree with the foregoing general statements. 
 The chief difference is in the principle upon which the ther- 
 mostat, Th, operates. 
 
 INTERMEDIATE 
 
 POSITIVE 
 
 T 
 
 Fig. 126. 
 
 Fig. 126 shows section-s through the intermediate and 
 positive thermostats manufsuotured by the Jiohnson Service 
 Company, Milwaukee. The interior workings of the ther- 
 mostats are as folLowis: Intermediate. — Air enters at A from 
 the supply tank, passes into chamber B and escapes at port 
 C. If thermostatic strip T expands inward to close C, the 
 air pressure collects in B and presses down port valve F, 
 thus opening port E, letting a.ir through into F and out at G 
 to close the damper. When T expand® outward, pressure at 
 B is relieved and F is forced back by <a spring, closing E. 
 Air in F reacts against the diaphragm and escapes through 
 hollow valve V at H, permitting the damper to open. Posi- 
 tive. — ^Air enters at A, passe<s into ch-amber B and escapes 
 at C. If thermostatic strip T expands inward to close G, air 
 pressure collects in B, forces out the knuckle joint K and 
 
TEMPERATURE CONTROL 277 
 
 operates the three-way valve T, thus shutting port E and 
 opening port F, letting air escape and radiator valve open: 
 When T expands outward, pressure at B is relieved, knuckle 
 joint K returns, pulling V outward, thus shutting port F, 
 opening E, letting air escape through O and shutting off 
 radiator valve. 
 
 The real thermostat is the spring T. This is composed 
 of steel and brass strips brazed together. Because of a 
 higher coefficient of expansion in the brass than in the 
 s-teel, a change in the room temperature causes the spring 
 to move toward or away from the seat C. T is adjustable 
 for any desired room temperature. The intermediate ther- 
 mostat is used on indirect heating where mixing dampers 
 are employed and where an intermediate position of the 
 valve is necessary. The positive therm'Osta,t is used on 
 direct radiators and coils where a full open or full closed 
 movement of the valve is desired. 
 
 Fig. 127 shows a section through the pattern K thermo- 
 stat, manufactured by the Powers Regulator Co., Chicago. 
 This thermostat consists of a frame carrying two. corrugated 
 disks, brazed together at the circumference and containing a 
 volatile liquid having a boiling point at about 50- degrees F. 
 At a temperature of about 70 degrees, the vapor within 
 the disks has a pressure of about 6 pounds to the square 
 inch. This pressure varies with every change of tempera- 
 ture and produces variations in the total thickness at the 
 center of the disks. 
 
 The compressed air enters at H and passes into chamber 
 "N through the controlling valve J, which is normally held to 
 its seat by a coil spring under cap P. Within the flange M 
 is located an escape valve L upon w.hich the point of the 
 supply valve J rests. Valve L tends to remain open when 
 permitted by reason of the spring underneath the cap. WThen 
 the temperature rises sufficiently to cause the disks to in- 
 crease in thickness and miove the flange M, the firrst action 
 is to seat the escape valve L, its spring being weaker than 
 that above J. If the expansive motion is continued after 
 valve L is seated, the valve J is then lifted from its seat 
 and compressed air flows into the chamber N. As the 
 air accumulates in chamber N, it exerts a pressure upon the 
 elastic diaphragm K in opposition to the expansive force of 
 the disk. So, whenever there is sufficient pressure in N to 
 balance the power exerted by the disks, the valve J returns 
 
278 
 
 HEATING AND VENTILATION 
 
 Fig. 127. 
 
 to its seat and no more air is permitted to pass through. 
 If the temperature falls, the pressure within the disks be- 
 comes less, the disks draw together and the over-balancing 
 air pressure in N reverses the movement of the flange M and 
 permifcs the escape valve L under the influence of its spring 
 to rise from its seat, whereupon a portion of the air in N 
 is discharged until the pressure in N becomes equal to the 
 dinainished pressure from the disks. Thus the pressure of 
 the air in N is maintained always in direct proportion to the 
 expansive power (temperature) of the disks. Port / con- 
 nects with chamber N and leads to the diaphragm valve. 
 
 This thermostatic valve controls the regulator valve by 
 a graduated moveiment and is used on the dampers for 
 blower work. Another farm with maximum movement only 
 is designed for steam systems. 
 
 Fig. 128 shows the positive and graduated thermostats 
 as manufactured by the National Regulator Company, Chi- 
 cago. The thermostatic element In these thermostats Is the 
 vulcanized rubber tube .4, which changes its length with the 
 varying room temperatures and causes the valve O to open 
 or close the port O, thus controlling the supply of air to 
 
TEMPERATURE CONTROL. 
 
 279 
 
 POSITIVE 
 
 INTERMEDIATE 
 
 Fig. 128. 
 
 and from the radiator valve or the regulating damper. In 
 the positive thermostat air enters the tube from the supply 
 through the filter and restricted passage P. From the in- 
 teriotr of the tube the air leaves through the middle orifice 
 and enters the pipe leading to the radiator valve. If the 
 room 'temperature is above the nominal, port G closes and the 
 air pressure collects in the tube, thus creating a pressure 
 in the line leading to the radiator valve and closing it. If 
 the room temperature falls below the normal, port G opens, 
 air is exhausted from the tube to "the atmosphere, the pres- 
 sure on the radiator valve is released and the valve opens. 
 The intermediate thermostat differs from the positive ther- 
 mostat in having but one air line. Room temperatures 
 below the normal contract tube A, open port G, and exhaust 
 the air to the atmosphere. With this release in pressure in 
 the pipe at P the regulating damper is turned to admit 
 more warm air into the room. W.ith the room temperature 
 above the normal, tube A expands, port G closes, pressure in 
 pipe P increases and the regulating damper is turned so as 
 to admit a lower temperature of air in the room. By means 
 of this a graduated movement of the damper is obtained. 
 
 REFERENCES. 
 
 References on Temperature Control. 
 
 Metal Worker. Temperature Control in House Heating, 
 Jan. 7, 1911. 
 
CHAPTER XV. 
 
 ELECTRICAL HEATING. 
 
 In the present state of the heating business it seems 
 ajlmost unnecessary to discuss electrical heating-, in any 
 serious way, in connection with steam power plants. The 
 re«asons will be seen in the following brief discussion. 
 Electrical heating oan appeal to the public only from the 
 standpoint of convenience, since a comparison of economies 
 between steam, hot water or warm air heating on one hand, 
 and electrical heating on the 'other, is wholly against the 
 l-atter. Its application to the processes of heating will find 
 its greatest economy in connection with water power plants 
 where the combustion of fuel is eliminate>d from the prop- 
 osition. This discussion will not bear in any way upon the 
 water power generator. 
 
 183. Equations Employed in Electrical Heating: Deslgrn :— 
 
 1 H. P. = 746 watts. 
 
 1 H. P. = 33000 ft. lbs. per min. = 1980000 ft. lbs. per hr. 
 
 1 B. t. u. = 778 ft. lbs. 
 
 1 H. P. hr. = 1980000 ^ 778 = 2545 B. t. u. per h«r. 
 
 1 H. P. hr. = 746 watt hrs. = 2545 B. t. u. per hr. 
 
 tt watt hT. = 3.412 B. t. u. per hr. 
 
 1 watt hr. = 3.412 4- 170 = .02 sq. ft. of hot water rad. 
 
 1 watt hr. = 3.412 -^ 255 = .0134 sq. ft. of steam rad. 
 
 1 kilo-watt hr. = 20.1 sq. ft. of hot water rad. (105) 
 
 1 kilo-watt hr. = 13.4 sq. ft. of steam rad. (106) 
 
 1S4. Comparison bet^veen Electrical Heating: and Hot 
 Water and Steam Heating: — The loss in transmitting elec- 
 tricity from the generators through the switchboard to the 
 radiators may be small or large, depending upon the condi- 
 tions of wiring, the current transmitted and the pressure on 
 the line. In all probability it would equal or exceed the 
 transmission losses In hot water or steam lines. Assuming 
 these lasses to be the same, a fair comparison may be made 
 In the cost of heating by the various methods. The operat- 
 ing efficiency of an electric heater is 100 per cent., since all 
 
ELECTRICAL HEATING 281 
 
 the current that is passed into the heater is dissipated in 
 the form of heat and no other losses are experienced. This 
 is not true of steam systems where the water of condensa- 
 tion is thrown away at fairly high temperatures. Where 
 electricity or steam is generated and distributed all in the 
 same building, there is no line loss to be accounted for, 
 since all of thiT heat goes to heating the building and counts 
 as additional radiation. 
 
 Equations 105 and 106 show the theoretical relation 
 existing between electrical heating and hot water and steam 
 heating compared at the power plant. The following dis- 
 cussion is based, therefore, upon the assumption that 1 
 kilo-watt hour, in an electric radiator, will give off the same 
 amount of heat as 20.1 and 13.4 square feet of hot water and 
 steam radiation respectively. With coal having 13000 B. t. u. 
 per pound and a furnace efficiency of 60 per cent., it will 
 require 3412 -i- V800 = .44 pound of coal per hour. If coal 
 costs $2.00 per ton of 2000 pounds, there will be an actual 
 fuel expense of .044 cent. On the other hand, assuming the 
 combined mechanical efficiency of an engine or turbo-gener- 
 ator set to be i*0 per cent., the heat from the steam that is 
 turned into electrical energy per hour is 1000 -h .90 = 1111 
 watts, for each kilo-watt delivered. Now if this unit has 
 15 per cent, thermal efficiency, we have the initial heat in 
 the steam equivalent to 1111 -=- .15 = 7400 watt hours. From 
 this obtain 7400 X 3.412 = 25249 B. t. u. per hour; or, 25249 
 -^ 7800 = 3.2 pounds of coal per hour. This, at the same 
 rate as shown above, would be worth .32 cent. Comparing, 
 the electrical generation actually costs 7.2 times as much as 
 the other. This comparison has dealt with the fuel costs at 
 the plant and has not taken into account the depreciation, 
 labor costs, etc., the object being to show relative efficien- 
 cies only. 
 
 Another way of looking at this subject is as follows. 
 A fairly large turbo-generator set (say 500 K. W.) will 
 deliver 1 kilo-watt hour to the switchboard on 20 pounds 
 of steam. With 10 per cent, additional steam for auxiliary 
 units, this amounts to 22 pounds of steam per kilo-watt hour 
 at the switchboard. One pound of steam generated in a 
 plant of this kind with the above efficiencies and value of 
 coal, also with a steam pressure of 150 pounds and a good 
 feed water heater, will give to each pound of steam approxi- 
 mately 1000 B. t. u. This makes 22000 B. t. u. or 2.8 pounds 
 
282 HEATING AND VENTILATION 
 
 of coal required to each kilo-watt output. This Is about 10 
 per cent, less than the above figures. 
 
 The ratio of 7 to 1, as shown in the above efficiencies, 
 does not seem to hold good in the selling price to the con- 
 sumer. In round numbers, district steam and hot water 
 heating systems supply 25000 B, t. u. to the consumer for 
 one cent. The cost for electrical energy to the consumer is 
 between 6 and 7 cents per kilo-watt. This gives 3412 -i- 6.5 
 = 525 B. t. u. for one cent. Comparing with the above, gives 
 a ratio of 48 to 1. 
 
 185. The Probable Future of Electrical Heatingr; — Be- 
 cause of the low efficiency of electrical heating as compared 
 to other methods of heating, it is very probable that it will 
 not replace the other methods except in so far as the con- 
 veniences of the user is the principal thing sought for, and 
 the expense of operating a minor consideration. In some 
 forms of domestic service, however, electrical heating is 
 sure to find considerable usefulness. The temperatures of 
 low pressure steam and hot water, together with the incon- 
 venience of use, are such as to eliminate them from many 
 of the household economies. They will probably continue 
 to be used for house heating, water heating and laundry 
 work. For occupations that require temperatures above 250 
 degrees, such as broiling, frying, ironing, etc., the electrical 
 supply will be in demand. 
 
 Heating by electricity on a large scale is being planned 
 in Stavanger, Norway. 25000 horse-power can be developed 
 by water power. This will be turned into electrical energy 
 and sold at $7.00 per horse-power year. 
 
 REFERENCES. 
 References on Electrlcnl Heating:. 
 
 Technical Periodicals. 
 
 The Heating and Tcntiloting Magazine. Electrical Heating 
 and Steam Heating, Feb. 1907, p. 28. Electric Heating, 
 W. S. Hadaway, Jr., Nov. 1908, p. 28; Dec. 1908, p. 26. The 
 Electrical World. Vol, 52, pages 450, 903. 1112 and 1358. and 
 Vol. 53, pages 5, 274 and 921. The Metal Worker. Electrical 
 Heating at Biltmore, N. C, March 7, 1908, p. 37. Electric 
 Heating with Fan Blast in Paris, Aug. 29. 1908. p. 55. Cool- 
 ing and Electric Heating on Ship Board. Sept. 15. 1906; Sept. 
 22. 1906; Oct. 6. 1906; Nov. 21. 1908. Unit Cost Limit of Elec- 
 tric Heating, Dec. 26. 1908, p. 43. Cost of Electric and Gas 
 Cooking, Aug. 29, 1909, p. 50. Electric Heating and Steam 
 Train in l^'rance. Nov. 27. 1909, p. 37. Railway Age Gazette. New 
 Electric Boiler. June 20. 1910, p. 1680. Cannicr'8 Magazine. 
 Electric Heaters, H. M. Phillips, Dec. 1909. 
 
CHAPTER XVI. 
 
 . 
 
 REFRIGERATION. 
 
 DESCRIPTION OF SYSTEMS AND APPARATUS. 
 
 186. General Divisions of the Subject: — The rapidly in- 
 creasing' demand for the cold storage of food products, the 
 production of artificial ice and the cooling of buildings have 
 developed for the heating engineer a broad and inviting- 
 field, namely, refrigeration. A municipal electric or pump- 
 ing station with a district heating plant to utilize the ex- 
 haust steam in winter and a refrigeration plant to utilize 
 the same in summer furnishes a unique opportunity for 
 economic engineering. One application of the above princi- 
 ple where a 10-ton ice plant of the absorption type was so 
 operated in a town of 3500 population and earned a dividend 
 of 13 per cent, on the investment, is proof, if any is needed, 
 that the field is an intensely practical one. 
 
 As in heating systems there must be sources of heat, 
 circulating mediums, distributing systems and delivering 
 systems whereby the carriers give up their heat at the 
 proper places in the circuits, so in 'refrigerating- systems 
 there must be sources of minus heat or of heat abstraction, 
 circulating mediums, distributing systems and receiving sys- 
 tems whereby the carriers take up heat at the proper places 
 in the circuits from articles or rooms that are being cooled. 
 The carriers (circulating mediums), and the receiving and 
 transmitting of the heat to and from them present no special 
 difficulties or great diversity of practice, but in the methods 
 of producing and maintaining the sources of minus heat 
 there are considerable differences and numerous methods. 
 
 187. Refrigerating Systems may be divided into two 
 groups, those producing cold by more or less chemical action 
 between ingredients upon mixing, called chemical systems, and 
 those producing cold by the evaporation of a liquified gas 
 or the expansion of a compressed gas, called mechanical sys- 
 tems. Chemical systems are used only occasionally in com- 
 mercial work, but are frequently found in small sized plants 
 for domestic purposes. Low first cost and convenience of 
 handling are the principal advantages. This division in- 
 cludes the simple melting of ice and the mixing of ice and 
 
2S4 
 
 HEATING AND VENTILATION 
 
 salt for temperatures as low as to — 5 degrees. The latter 
 is much used in domestic processes for the production of 
 table ices, etc. Other ingredients used in the mixtures with 
 the corresponding temperature drops which may be ex- 
 pected are given in Table 53, Appendix. The chemical 
 method of producing cold is occasionally used to maintain 
 low temperatures in storage rooms while repairs are being 
 made upon the regular machinery. The chemical methods 
 of cooling are so simple in principle that they will not be 
 discussed further in this work. Mechanical systems include 
 all the practical methods of commercial refrigeration. These 
 are, the vacuum system, the cold air system, the compression system 
 and the absorption system. 
 
 I 
 
 188. Vacuum System: — This system was formerly of 
 some importance but of late years has given place to other 
 and more efficient methods. Fig. 129 shows a vacuum sys- 
 tem in diagram. If a spray of water 
 or brine is injected into a chamber 
 that contains pans of sulphuric acid 
 and is kept at a partial vacuum of 
 one or two ounces, the acid absorbs 
 the water vapor from the spray, thus 
 assisting in maintaining the vacuum 
 and lowering the temperature of the 
 remainder of the spray. The vapor- 
 ization of the part that is absorbed 
 by the acid requires heat. This 
 heat is taken from the liquid of the 
 spray that is not absorbed, conse- 
 quently the temperature of the re- 
 maining liquid is lowered. In a 
 system of this kind a temperature 
 of 32 degrees may easily be ob- 
 tained. The water or brine after 
 cooling is then circulated through 
 the coils of the cold storage room 
 
 where it takes up the heat of tlie rooms and contents and 
 returns to the vacuum chamber to be ag«.in partially evapo- 
 rated and cooled. 
 
 189. Cold Air System: — The cold air system is used prin- 
 cipally on ship board. Fig. 130 shows diagrammatically the 
 parts and the operation of the system. The cycle has four 
 
 
 w 
 
 3 
 
 Fig. 129. 
 
REFRIGERATION 
 
 285 
 
 Fig. 130. 
 
 parts, compression In one of the cylinders of the compressor, 
 cooling in the air cooler by giving off heat to the cold water 
 thus removing the heat of compression, expansion in the sec- 
 ond cylinder of the compressor thus cooling the air, and 
 refrigeration in the cold storage room where the heat lost dur- 
 ing expansion is regained from the articles in cold-storage. 
 Cold air machines work at low efficiencies because of the 
 necessarily large cylinders and their attendant losses due 
 to clearance, heating of the compression cylinder, snow in 
 the expansion cylinder and friction. The system has much 
 to recommend it, however, since it is extremely simple, occu- 
 pies a very small space compared with other systems and 
 uses no costly gases, chemicals or supplies. 
 
 190. The Compression and the Absorption Systems have 
 in common this fact — both use a refrigerant, i. e., a liquid hav- 
 ing a comparatively low boiling point. Perhaps the most 
 common refrigerant is anhydrous ammonia, which boils, at 
 atmospheric pressure, at 28.5 degrees below zero and in 
 doing so absorbs as latent heat 573 B. t. u. Table 54, Ap- 
 pendix, gives further properties. Other refrigerants used 
 to a lesser extent are sulphur dioxide, SO2, which boils at 
 — 14 degrees under atmospheric pressure with a latent heat 
 
286 HEATING AND VENTILATION 
 
 of 162 B. t. u. and carbon dioxide, COo, which boils at — 30 
 deg-rees under a pressure of 182 pounds per square inch 
 absolute with a- latent heat of 140 B. t. u. A comparison of 
 the temperatures and pressures of four common refriger- 
 ants is given in Table 59, Appendix. Pictet's fluid is a mix- 
 ture of 97 per cent, sulphur dioxide and 3 per cent, carbon 
 dioxide. 
 
 A choice of a universal refrigerant can scarcely be made 
 because of the varying conditions of individual plants. The 
 principal difficulty with the use of sulphur dioxide is the 
 fact that any water uniting with it by leakage immediately 
 produces sulphurous acid with its corroding action upon all 
 the iron surfaces of the system. This same objection holds 
 also for Pictet's fluid. The objections to the use of carbon 
 dioxide are, first, its comparatively low latent heat, and 
 second, the high pressure to which all parts of the apparatus 
 and piping are subjected. -Pressures of from 300 to 900 
 pounds per square inch are very common. Perhaps the worst 
 charge that can be made against ammonia as a refrigerant 
 is that it is highly poisonous and corrodes metals, particu- 
 larly copper and copper alloys. However, the high latent 
 heat of ammonia, together with the fact that its pressure 
 range is neither so high as with oairbon dioxide, nor so low 
 as with sulphur dioxide, are perhaps the chief reasons for 
 the very general preference for ammonia as the comxnercial 
 refrigerant in compression systems; while its great afl^nity 
 for and .solubility in water, are what make the absorption 
 system a possibility. 
 
 101. Compression System: — Compression machines may 
 work well with the use of any one of the four refrigerants of 
 Table 59, df the proper pressures and temperatures are ob- 
 served and maintained. The common refrigerant for thl« 
 type is, however, anhydrous ammonia, for reasons given 
 above. Fig. 131 shows a diagrannmatic sketch of the com- 
 pression system. To follow the closed cycle of the ammonia, 
 start with a charge being compressed in the cylinder of the 
 compressor. From this it is conveyed by pipe to the con- 
 denser which, being cooled by water, abstracts the latent 
 heat of the refrigerant and condenses it to a liquid. From 
 the condenser the liquid refrigerant is convoyed to the ex- 
 pansion valve through which it expands into the evaporator 
 or brine cooler. In changing from a liquid to a gas in the 
 evaporator it absorbs from the brine an amount of heat 
 
REFRIGERATION 
 
 287 
 
 REFRIGERATOR 
 ROOn AT 50 
 
 COOLING WATER UOUIO AHnONIA [xFANSION VftLVE LIQUID AnnONlA 
 
 Fig. 131. 
 
 WAPn BRINE 
 
 equivalent to the heat of vaporization of the ammonia. 
 Upon leaving the evaporator the refrigerant is again ready 
 for the cylinder of the compressor, thus completing the 
 cycle. 
 
 If the refrigerant is ammonia, the compressor is com- 
 monly of the vertical type, direct connected to a horizontal 
 Corliss engine as shown in Fig. 132. This type of com- 
 
 TEN TON AMMONIA COMPRESSOR 
 
 Fig. 132. 
 
 UNIVERSITY OF NEBRASKA 
 
 pressor combines the high efficiency of the Corliss engine 
 with the vertical type of compressor which is probably the 
 best type for reliable service of valves and pistons. The 
 vertical compressor is usually single acting with water 
 jacketed cylinders. Horizontal compressors are usually 
 double acting, as shown in Fig. 133, where the prime movei- 
 
288 
 
 HEATING AND VENTILATION 
 
 Fig. 133. 
 
 Is a direct connected electric motor. Poppet valves in this 
 type are placed at an angle of 30 degrees to 45 degrees with 
 the center line of the cylinder, a construction made neces- 
 sary by space restrictions on the cylinder heads. Compres- 
 sors for other refrigerants are commonly of these same 
 xypes, the main difference being that compressors tor carbon 
 dioxide systems are nearly always two-stage to produce 
 high compressions. The intermediate cooler pressures range 
 from 300 to 600 pounds per square inch. Horizontal steam 
 
 OnO 
 
 Flgr. 134. 
 
REFRIGERATION 
 
 289 
 
 cylinders in tandem with the compressor cylinders are com- 
 mon for the carbon dioxide systems and the compressor cyl- 
 inders are usually single acting-. 
 
 192. Condensers for Compression Systems are classi- 
 fied under four heads, atmospheric condensers, concentric 
 tube condensers, enclosed condensers and submerged conden- 
 sers. An elevation of an atmospheric condenser is shown in 
 Fig. 134. As illustrated it consists of vertical rows of pipes 
 so connected by return bends as to make the hot refrigerant 
 pass through each pipe beginning at the top, while the cold 
 water main at the top of the row furnishes a spray of water 
 which trickles over the outside of the pipes. The gas on 
 the inside of the pipes is thus cooled by the extraction of 
 the quantity of heat that is used in raising the temperature 
 of the water and evaporating a part of it. The complete con- 
 denser may consist of any required number of these vertical 
 rows, placed side by side, each row properly connected to 
 the hot gas header and to the liquid header. 
 
 An elevation of one section of a concentric tube condenser la 
 shown in Fig. 135, The arrows show the paths of the gas 
 and water. As in the atmospheric type the gas enters at the 
 top and the liquid is drawn off below. In its descent It 
 
 Fig. 135 
 
<.'9U 
 
 HEATING AND VENTILATION 
 
 passes through the annular space between the two concen- 
 tric pipes and is cooled by the atmosphere on the outside of 
 the larger pipes and by the water circulating through the 
 inner pipes. This condenser has the advantage over the sim- 
 ple atmospheric condenser in that the water may be made to 
 have an upward course through the apparatus, thus bring- 
 ing the coldest water in contact with the pipes carrying the 
 liquid rather than with the pipes carrying the hot gas. 
 Since the efficiency of the plant as a whole is very largely 
 dependent upon the temperature of the liquid at the expan- 
 sion valve this matter of the "counter flow" of the cooling 
 water is an important one. For the medium sized and large 
 compression systems this form of condenser is used almost 
 without exception. ^ 
 
 The enclosed condenser. Fig. 136, is very similar to the sur- 
 face coil condenser in steam engine 
 plants. It consists of a cylindrical 
 chamber with a number of concen- 
 tric pipe spirals connecting a hot 
 water header at the top with a cold 
 water header at the bottom of the 
 cylinder. The pipes of the spirals 
 are provided with stuffing boxes 
 where they pierce the upper and 
 lower heads of the cylinder. With 
 this condenser a counter flow of 
 the water is used, the cold water en- 
 tering the bottom of the coils and 
 flowing upward, so that the liquid re- 
 frigerant at the bottom of the cylin- 
 der is very near the temperature of 
 the incoming water. ^ 
 
 A submerged condenser, as the name 
 implies, contemplates a rather large 
 body of water below the surface of 
 which there is submerged a coil for 
 circulating the hot refrigerant. Fig. 
 137 shows a section of such a con- 
 denser. The hot gas enters at the 
 top fitting of the coil and loaves at 
 lower flitting. Cold water is constantly flowing in at the bot- 
 tom of the tank and leaving by ithe overflow at the top, being 
 heated as it rises. The form of the coil is usually spiraL 
 
 Fig. 136. 
 
REFRIGERATION 
 
 291 
 
 although this condenser may be built with coils of the re- 
 turn bend type when larger surface is required. Only the 
 smaller compression plants use the enclosed or the sub- 
 merged type of condenser. 
 
 VWLR 
 
 Fig. 137. 
 
 In general, condensers may be considered vital factors 
 in the economy of compression plants. They must be reliable 
 in service and economical in operation, and must be so de- 
 signed and proportioned that they will deliver liquid re- 
 frigerant within five degrees of the temperature of the in- 
 coming cooling water. A condenser should present all 
 joints, particularly those holding the refrigerant, to plain 
 view for easy inspection and repair. Since it is the func- 
 tion of the condenser to dissipate the heat of the refrigerant 
 gas, it is not uncommon to install it upon the roof or out- 
 side the building in some cool place. This is especially true 
 where the atmospheric or the concentric tube' types are 
 used. In such positions the heat radiated by the condenser 
 is not given back to the rooms and piping systems. In addi- 
 tion, the cooling action of the atmosphere assists in making 
 the system more efficient. 
 
292 
 
 HEATING AND VENTILATION 
 
 103. Evaporators for compression systems may be con- 
 sidered as condensers, reversed in action but very similar 
 in form. If the refrigerating effect is accomplished by the 
 brine cooling system an evaporator of some type will be 
 necessary, but if the refrigeration is accomplished by circu- 
 lating the expanding refrigerant itself, no evaporator is re- 
 quired. Evaporators, or brine coolers, may be classified 
 according to tlie method of construction, as shell coolers and 
 concentric tube coolers. 
 
 The shell cooler takes various forms. One is shown by 
 Fig. 136, being in effect an enclosed condenser with brine 
 instead of cold water circulating in the coils. The heat of 
 the brine is transferred to the cool liquid refirigerant, caus- 
 ing the refrigerant to evaporate and take from the brine 
 an amount of heat equal to the latent heat of the refriger- 
 ant. The proper height to which the liquid refrigerant 
 should be allowed to rise in the evaporator is a very much 
 disputed point, some old and experienced operators claim- 
 ing greatest efficiency when about one-third of the cooling 
 surface is covered with liquid refrigerant leaving two- 
 thirds to be covered with gaseous refrigerant. Others claim 
 that the entire surface should be covered or "flooded" with 
 liquid refrigerant. These points of view give rise to 
 the two terms dry systems and flooded systems. Of late years 
 the flooded systems are gaining somewhat in favor, a sepa- 
 rator being installed between the evaporator and the com- 
 pressor to prevent any liquid being drawn into the com- 
 pressor cylinder. This separator drains any liquid which 
 
 Fig. 138. 
 
REFRIGERATION 293 
 
 may collect therein, back into the evaporator. In the flooded 
 system the brine cooler more commonly takes the form 
 shown in Fig-. 138, where at the end A D of the brine tank 
 ABCD is shown the flooded cooler E. This cooler consists 
 of a boiler shell filled with tubes, the brine circulating 
 through the inside of the tubes while the interior of the 
 large shell is nearly or quite filled with liquid refrigerant. 
 
 Concentric tube brine coolers are made of piping very similar 
 in principle to that shown in Fig. 135, with the exception 
 that instead of two concentric pipes, three are more com- 
 monly employed. The brine circulates through the inner- 
 most of the three and through the outermost, while the 
 annular space between the smallest pipe and the middle 
 pipe is traversed by the liquid refrigerant. In this way 
 the annular space filled with refrigerant has brine on both 
 sides and the cooling of the brine is very rapid. The numer- 
 ous joints in this cooler present a constant source of trouble. 
 Salt brine will usually freeze in the inner pipe, so that cal- 
 cium chloride brine must be used. 
 
 A choice of evaporators or coolers depends mainly upon 
 whether the plant is to run continuously or intermittently. 
 When run continuously only a small amount of brine is 
 required and this, when cooled quickly and circulated 
 quickly, would call for a concentric tube cooler. When run 
 intermittently a much larger body of brine is desirable so 
 as to remain cool longer during the night hours when the 
 plant is not operating. For this condition a shell type 
 cooler would probably be preferred. 
 
 In addition to the condensers and evaporators that were 
 described in detail, there are to be found on the well equip- 
 ped compression system the following pieces of apparatus 
 which will be mentioned and described only briefly. An oil 
 separator is commonly found in the line connecting the con- 
 denser with the compressor. This is simply a large cast 
 iron cylinder with baffle plates to separate the oil from the 
 ammonia. Since the oil is heavier than the ammonia it set- 
 tles to the bottom and may be drawn off. An ammonia scale 
 strainer is often found just before the compressor intake. 
 Small purge valves are located at all high points in the 
 system for the purpose of exhausting the foul gases or the 
 air which may collect in the system. Such a purge con- 
 nection is shown on the right end of the upper coil In 
 Fig. 134. 
 
294 
 
 HEATING AND VENTILATION 
 
 104. Pipes, Valves and Flttinsa for compressor refrig-er- 
 ant piping are considerably different from the standard types. 
 If the refrigerant is ammonia, no brass enters into the de- 
 sign of any part of the piping or auxiliaries traversed by the 
 
 ammonia. The operating principles of all valves are the 
 same as standard ones but they are made heavier and en- 
 tirely of iron, or iron and aluminum. The common threaded 
 joint used on all standard fittings is replaced in ammonia 
 systems by the bolted and packed joint. It is not within the 
 scope of this work to go into these details further than to 
 
 Fig. 139. Fig. 140. 
 
 give a section of an ammonia expansion valve, Fig. 139, and 
 a section of a typical ammonia joint, Fig. 140. 
 
 195. Ab.sorptioii System: — As stated in Art. 190, the 
 great affinity of ammonia gas for water and its solubility 
 therein, are what make the absorption system a possibility 
 and give it the name as well. At atmospheric pressure and 
 50 degrees temperature one volume of water will absorb 
 about 900 volumes of ammonia gas. At atmospheric pres- 
 sure and 100 degrees temperature one volume of water 
 will absorb only about one-half as much gas, or 450 vol- 
 umes. If then, one volume of water is saturated at 50 de- 
 grees with ammonia gas and heated to 100 degrees there 
 will be liberated about 450 volumes of ammonia gas. Hence 
 It is evident that a strea/m of water may be used as a con* 
 veyor of ammonia gas from one place or condition to an- 
 other, &ay from a condition of low temperature and pres- 
 sure where the absorbing stream of water would be cool, tv 
 
REFRIGERATION 
 
 295 
 
 a condition of high temperature and pressure, where the 
 g-as would be liberated by simply heating the water. It will 
 be noticed that the gas has been transferred as a liquid 
 without a compressor or any compressive action, by pump- 
 ing a stream of water of approximately one-four hundred 
 and fiftieth of the volume of the gas transferred. This, in 
 the abstract, is the method employed in the absorption 
 system to convey the ammonia gas from the relatively low 
 temperature and pressure of the evaporator to the high 
 temperature and pressure at the entrance of the condenser. 
 The absorption system, when closely compared in prin- 
 ciples of operation to the compression system, differs only 
 in one respect, namely, the absorption system replaces the 
 gas compressor by the strong and weak liquo>r cycle. As 
 
 ^s>^o«;:«;'^*«j, 
 
 '■'QUOR cyclC 
 
 Fis:. 141. 
 
 shown in Fig. 141, both sys- 
 tems have arrangements of 
 condenser, expansion valve 
 and evaporator that are iden- 
 tical, hence the part of the 
 cycle through these need not 
 be considered. The problem 
 of completing the cycle from 
 evaporator t o condenser, 
 however, is solved quite dif- 
 ferently in the two systems. 
 In the compression system 
 (upper diagram) the evapo- 
 rator delivers the expanded 
 gas to the compres- 
 sor, from which, 
 under high pres- 
 sure and tempera, 
 ture, it is delivered 
 to the condenser 
 and the cycle is 
 completed. In the 
 absorption system 
 (lower diagram) 
 the evaporator de- 
 livers the expanded 
 gas to an absorber, 
 in which the gas 
 comes in contact 
 with a spray of so- 
 called weak liquor, 
 
296 HEATING AND VENTILATION 
 
 consisting- of water containing about 15 to 20 per 
 cent, of aniiydrous ammonia. Tlie weak liquor absorbs 
 the ammonia gas through which the liquor is sprayed and col- 
 lects in the upper part of the absorber as strong liquor, contain- 
 ing about twice as much anhydrous ammonia as the weak 
 liquor, or 30 to 35 per cent. From here it is pumped through the 
 exchanger (which will be ignored for the present) into the 
 generator at a pressure of about 170 pounds per square inch 
 gage. In the generator boat is supplied by steam coils im- 
 mersed in the strong liquor. As this liquor is heated it 
 gives up about half of the contained ammonia gas which 
 rises and passes from the generator to the condenser, thus 
 completing the ammonia or primary cycle, while the weak 
 liquor flows from the bottom of the generator through the 
 exchanger and pressure reducing valve back to the ab- 
 sorber, thus completing the secondary or liquor cycle. 
 
 In general then, the absorption system uses two cycles, 
 that of the ammonia and that of the liquor, the paths of the 
 two cycles being coincident from the absorber to the gen- 
 erator. The liquor pump serves to keep both cycles in mo- 
 tion. The pump creates the pressure for both cycles and 
 the expansion valve and the reducing valve reduce the 
 pressure respectively for the ammonia cycle and the liquor 
 cycle. The exchanger does not mix or alter the condition of 
 the two streams of liquor passing through it, for its only 
 function is to bring these two streams close enough that 
 the heat of the iccuk liquor from the generator may be trans- 
 ferred to the strong liquor going to the generator. Stated in 
 other words, the exchanger heats the strong liquor by cool- 
 ing the weak liquor, thus effecting a saving of heat which 
 would otherwise be lost, since the weak liquor must be 
 cooled before it is ready to properly absorb the gas in the 
 absorber. 
 
 196. An Elevation of nn Absorption System with the 
 elements piped according to what is considered best prac- 
 tice is shown in Fig. 142. Starting at the expansion valve, 
 the ammonia (liquid, gas or gas in solution) passes in order 
 through these pieces of apparatus: the evaporator, the ab- 
 sorber, the liquor pump, the chamber of the exchanger or the 
 coil of the rectifier, the generator, the chamber of the recti- 
 fier and the condenser back to the expansion valve. At the 
 same time the liquor used to absorb the gas travels In ordrr 
 through these pieces: the absorber, the liquor pump, tlie 
 
REFRIGERATION 
 
 297 
 
 COLD enwE TO refrkwor 
 
 fVO* 
 
 aXUQ WATER 
 TO ABSORGER 
 
 Fig. 142. 
 
 chamber of the exchanger or the coil of the rectifier, the 
 generator, the pressure reducing valve and the coil of the 
 exchanger back to the absorber. The method of pipe connec- 
 tions shown is a very common one although some varia- 
 tion may be found, especially in the continued use of cool- 
 ing water in consecutive pieces of apparatus. As shown, 
 the cooling water is first used in the condenser. This will 
 be found so in all plants. From the condenser the cooling 
 water may next be taken to the absorber, as shown in the 
 sketch, or it may be used in the rectifier coil instead of the 
 strong liquor. In recent years the practice of by-passing 
 a certain amount of the cool, strong liquor from the pump 
 through the rectifier is gaining in favor. Fig. 142 shows 
 a plant having bent coil construction. Plants are also built 
 having straight pipe construction, where all coil surfaces 
 shown are replaxied by straight pipes, the condenser being 
 usually of the concentric tube atmospheric type and the 
 evaporator being also of the concentric tube brine cooler 
 type, as mentioned under compression systems. Both types 
 of absorption plants are found in use. 
 
298 
 
 HEATING AND VENTILATION 
 
 107. Generators are classified as horizontal and verti- 
 cal. Fig, 143 shows a horizontal type generator, with the 
 
 Fig. 143. 
 
 analyzer and exchanger, and Fig. 144 shows the vertical 
 type, also with the analyzer. The horizontal type may have 
 one or more horiontal cylinders equipped with steam coals. 
 The analyzer, which may be considered as an enlarged dome 
 of the generator, is used to condense the water vapor which 
 rises from the surface of the liquid in the generator. To 
 do this the analyzer has a series of horizontal baffle plates 
 through which the incoming cool, strong liquor trickles 
 downward while the heated mixture of ammonia gas and 
 water vapor passes upward through interstices. In this 
 way the strong liquor gradually cools the ascending water 
 vapor and condenses much of it on the surfaces of the 
 baffle plates, 
 
 108. Rectifiers are arrangements of cooling surface 
 designed to thoroughly dry the gas just before It passes 
 into the condenser. This is accomplished by presenting 
 to the hot product of the generator just enough cooling sur- 
 face to condense the water vapor without condensing any of 
 
REFRIGERATION 
 
 299 
 
 ^ 
 
 Fig. 144. 
 
 the ammonia gas. Rectifiers are 
 very similar in general design to 
 the various types of condensers, 
 there being atmospheric, concen- 
 tric tube, enclosed and submerged 
 rectifiers just as thare are these 
 same type of condensers, each de- 
 scribed under the head of con- 
 densers for compression systems. 
 Rectifiers may save heat by the 
 arrangement sihown in Fig. 142, 
 where the iheat abstracted from the 
 water vapor is given to the cool, 
 strong liquor before entering the 
 generator. As shown, the strong 
 liquor may be divided, part pa.ss- 
 ing through the rectifier and part 
 through the exchanger, or the 
 strong liquor may all go through 
 the exchanger first and then 
 through the rectifier. Where 
 strong liquor is so used, the recti- 
 fier is always of the enclosed 
 type. Rectifiers using water as 
 the cooling medium are often 
 called dehydrators, the term rec- 
 tifier being more properly used 
 when the cooling medium is the 
 strong liquor. 
 
 199. Condensers for absorption 
 ~" systems do not differ in design 
 from those used for compression 
 systems. The same types are used, 
 and in 'the same manner, the sur- 
 face being somewhat less due to 
 the precooling effect of the recti- 
 fiers or dehydrators. As a gen- 
 eral statement, it is claimed that 
 from 20 to 25 per cent less surface 
 is required in the condenser for an 
 absorption machine than is re- 
 quired in one for a compression 
 machine. 
 
300 
 
 HEATING AND VENTILATION 
 
 LOXR 
 
 I oooocx^S VtxxxxxdI 
 ^ooooo^ ^pooooo I 
 
 ..v^t^l =^00000 I 
 
 5CCH r^oocxx)'^ 
 
 200. Absorbers may be classified as dry absorbers, wet 
 absorbers, atmospheric absorbers, concentric tube absorb- 
 ers and horizontal and vertical tubular absorbers. In the 
 dry absorber, the top section of which is shown in Fig. 145. 
 
 the weak liquor enters at the 
 middle of the top header and 
 is sprayed upon a spray pan, 
 from which it drips downward 
 over the coils. The gas enters 
 as shown, part being delivered 
 above the spray plate, so as to 
 come into contact with the 
 spray and the larger part being 
 taken downward through the 
 central pipe to a point near the 
 bottom of the absorber, from 
 Pig. 145. which point it flows upward 
 
 against the descending weak liquor by which it is absorbed. 
 As the gas is dissolved by the weak liquor the heat of ab- 
 sorption is given off, and taken up by the cooling water in 
 the coils. The result is a strong liquor which collects in 
 the absorber ready to be delivered to the pump. 
 
 The wet absorber, on the contrary, has practically the 
 whole body filled with weak liquor and the ammonia gas 
 enters near the bottom, bubbling up through the weak 
 liquor thus saturating it. Various baffle plates with fine 
 perforations break up the gas into small bubbles thus aid- 
 ing in presenting a large surface of gas to the liquor 
 which, as it becomes saturated and lighter, rises to the top 
 of the body of the absorber and is ready to be drawn off by 
 the pump. Instead of spiral cooling coils, this type is often 
 made with straight cooling tubes inserted between two tube 
 sheets, boiler fashion. This straight tube construction is 
 much simpler and cheaper, and much more easily cleaned 
 than the spiral type. It is favored by some on this account, 
 especially where the cooling water has a tendency to form 
 scale. 
 
 Atmospheric absorbers resemble atmospheric condensers of 
 the single tube type. The ammonia gas and weak liquor en- 
 ter the bottom through a fitting commonly called a mixer, 
 and the two fiow upward through the inside of the pipe 
 while the cooling water is in contact with the outside thus 
 taking up the heat of absorption generated within the pipes. 
 
REFRIGERATION 301 
 
 Concentric tube absorbers are very similar in design to con- 
 centric tube condensers, the cooling water passing through 
 the central tube and the weak liquor and expanded gas en- 
 tering at the bottom of the annular space and circulating to 
 the top, absorption taking place on the way. Because of the 
 small capacity of the last two mentioned absorbers, it Is 
 necessary to use with them an aqua ammonia receiver be- 
 tween the absorber and the ammonia pump, to act as a 
 reservoir for storing a reserve supply of the strong liquor. 
 
 Horizontal and vertical tubular absorbers are those in which 
 the cooling surface is composed of straight, horizontal or 
 vertical tubes inserted between tube sheets, the cooling 
 water flowing inside the tubes and the absorption taking 
 place within the drum or body of the absorber. 
 
 201. Bxchangrers may be of two types, the shell type 
 or the concentric tube type. The shell type, as the name im- 
 plies, is composed of a main body or shell through which 
 circulates the strong liquor to be heated and within this 
 shell is a coil or other arrangement of heating pipes through 
 which the hot, weak liquor flows. Fig. 142 shows the ele- 
 mentary arrangement of such an exchanger. Concentric 
 tube exchangers are used on large plants. They are similar 
 in every way to the concentric tube condensers shown in 
 Fig. 135, with the exception that larger pipes are needed 
 for the exchangers. The cold, strong liquor is usually car- 
 ried through the pipes and the hot, weak liquor through the 
 annular space. The great advantage of this type of ex- 
 changer is the same as that of the concentric tube con- 
 denser, namely, the counter flow of the two streams. With 
 this arrangement the total transfer of heat is a maximum, 
 for which reason this type of exchanger is generally pre- 
 ferred. 
 
 202. Coolers for the weak liquor are often found In 
 plants. This piece of apparatus is not indicated in Fig, 142. 
 It is usually installed as the lower three coils of the atmos- 
 pheric condenser, and hence is simply a small condenser 
 used to further cool the weak liquor just before its entrance 
 into the absorber. With a counter flow, concentric tube ex- 
 changer a weak liquor cooler is seldom found necessary. 
 
 203. The Pump used in absorption systems to raise the 
 pressure of the strong aqua ammonia may be steam driven, 
 electric driven or belt driven, as best suits the particular 
 
 plant conditions. The power required by this piece of appa 
 
302 HEATING AND VENTILATION 
 
 ratus is about one horse power per 20 to 25 tons of refriger- 
 ation capacity. 
 
 204. Compression Systems and Absorption Systems Com- 
 pared: — A comparison drawn between the compression sys- 
 tem and the absorption system brings out the following 
 facts. The compression system depends fundamentally upon 
 the transferring of heat energy into mechanical energy and 
 vice versa, with the attendant heavy losses. The absorption 
 system merely transfers heat from one liquid to another. 
 This is a process which is attended by only moderate losses. ■ 
 The compression systeim is comparatively simple, Its pro- 
 cesses readily understood and its machinery easily kept in 
 good running order. The absorption system is complicated 
 with a greater number of parts, its processes are often not 
 thoroughly understood by those in charge and its machinery 
 is likely to become inefficient because heat transferring sur- 
 faces are allowed to become dirty. For these reasons the 
 attendance necessary upon an absorption plant must be of a 
 higher order than that necessary for a compression plant. 
 
 205. Circulating Systems: — The refrigerating effect pro- 
 duced by either one of the two systems may be delivered to 
 the place of application in two ways. The first is the brine 
 circulation method wherein a brine cooler is used through 
 which the brine flows causing the evaporation of the liquid 
 refrigerant and the cooling of the brine. This cold brine is 
 then circulated through pipes to the place where refrigera- 
 tion is desired. Fig. 138 shows an evaporator placed in one 
 end of a large brine tank. The refrigerating effect is car- 
 ried to the cans of water by the circulation of this body of 
 brine through the evaporator and out past the cans, the cir- 
 culation through the channels shown being maintained by 
 the pump. Brine, commonly used for such work, is made by 
 dissolving calcium chloride in water. A 20 per cent, solu- 
 tion is generally used. Salt brine is used to some extent 
 but it has many disadvantages compared with calcium brine. 
 The second method is the direct circulation method wherein the 
 liquid refrigerant is conveyed to the place to be cooled, is 
 passed through an expansion valve and then circulated 
 through coils in the space to be refrigerated, changing into 
 gaseous form as fast as it can absorb enough heat. If 
 ammonia is the refrigerant the direct circulation is not often 
 favored because of its highly penetrative nature and odor, 
 even a leak so small as to escape detection being sufficient 
 
REFRIGERATION 
 
 303 
 
 to fill the refrigerated space with the odor, which 'many 
 food stuffs will absorb. 
 
 206. There are Three Methods Employed for Maintain- 
 ing; r<ow Temperatures in storage and other rooms. The 
 first is by direct radiation where the pipes are placed within 
 the room and the refrigerant is circulated through them. 
 This is the oldest, simplest and cheapest system to install. 
 In this the proper location and arrangement of the pipes are 
 essential to the most efficient operation. Since the tempera- 
 ture to be maintained in a storage room depends upon the 
 products to be kept in the room, it may be necessary to have 
 a considerable range of temperature. It is desirable to have 
 the pipes arranged as coils in two or three sets, each being 
 valved so that the amount of refrigerant being circulated 
 may be increased or decreased as the temperature of the 
 stored product may require. 
 
 The pipes should be set out from the wall several inches 
 to give free air circulation and keep the frost that collects 
 on them from coming into contact with the wall. The coils 
 should be so placed that the temperature of all parts of the 
 room may be kept as nearly uniform as possible. Some 
 products keep as well in still air as when it is in motion, but 
 others, such as fruits, eggs, cheese, etc. are better pre- 
 served when the air is circulated. Circulation may be ef- 
 fected in a room piped for direct radiation by putting aprons 
 over the coils as shown in Fig. 146. These aprons consist of 
 
 12 inch boards D nailed to 
 studding E and the whole 
 fastened to the coils, the 
 studding serving to keep the 
 boards from coming into 
 contact with the pipe coils. 
 A false ceiling F is placed a 
 few inches below the ceiling 
 of the room so that the 
 warm air flows towards the 
 pipes and over them, drop- 
 ping to the floor and passing 
 out under the lower edge of 
 the apron into the room. 
 Wherever direct radiation is 
 used drip pans should be 
 placed directly underneath the coils in order to catch and 
 drain off the water when the coils are cut out and the frost 
 
 wyyyyy y'/^^/^yy//^/y/yy// /y////M 
 
 Fig. 14 6. 
 
304 
 
 HEATING AND VENTILATION 
 
 melts. This water should be drained into a receptacle that 
 can be easily emptied when filled. 
 
 The second method of room cooling is by indirect radiation. 
 Let Fig. 147 represent a section of a storage building. The 
 essential parts of the cooling system are, 
 a bunker room AC, in the top part of the 
 building, containing the cooling coils 
 B, a series of ducts on either side of the 
 building, so arranged that the air after 
 passing over the cooling coils, drops 
 downward. These ducts are provided 
 with dampers for admitting as much of 
 the cold air to the rooms as is desired. 
 On becoming warmed this air is crowded 
 out on the opposite side of the room into 
 the ducts K and rises to the bunker- 
 room where it is again cooled by passing 
 over the coils. By the use of the damp- 
 ers the cold air may be cut off froni any 
 room or admitted in large quantities 
 thus making it an easy matter to main- 
 tain the temperature at any point de- 
 sired. The ducts leading the air from 
 the rooms should be 25 per cent, larger 
 than the ones leading to the roams and 
 the latter should have about three square 
 inches cross-section per square foot of 
 floor area in rooms having a ten foot 
 ceiling. 
 
 The third method is by means of a 
 plenum system of air circulation. Fig. 148. The arrangements 
 are quite similar to those of the plenum system for heating, 
 
 ^ except that the heating coils 
 are replaced by the refrigerat- 
 ing coils. The air required for 
 ventilation is blown over the 
 coil surface, erected in a coil 
 or bunker room, over which, 
 oftentimes, cold water is 
 sprayed. This not only washes 
 the air but tends to lower its 
 temperature. If ammonia is 
 used as a refrigerant, brine is 
 Circulated In the coils, but if 
 
 Fig. 147. 
 
 = — t^ZS^"" 
 
 Fig. 148. 
 
REFRIGERATION 805 
 
 carbon dioxide Is used direct expansion Is employed, thus 
 dispensing with the use of brine. The principal advantage 
 of the plenum system of cooling is that a positive circulation 
 of air may be maintained in any room even though the 
 bunker room be placed on the first floor or in the baseonent 
 of the building. This is the system used in large buildings 
 that are cooled during the summer as well as heated dur- 
 ing winter, in factories where changes of temperature seri- 
 ously affect the product, as in chocolate factories, in fur 
 storage rooms, in drying the air before it is blown into blast 
 furnaces and in the solution of many other important eco- 
 nomic problems. 
 
 207. Influence of the Dew Point: — In cooling a building 
 by means of a plenum refrigerating system, great trouble 
 is experienced with the formation of ice on the coils. For 
 example, suppose such a cooling system on a hot summer 
 day is taking in air at 90 degrees temperature and 85 per 
 cent, humidity. If this air is cooled only ten degrees (see 
 chart, page 29), it will have reached its dew point and as 
 the cooling continues will deposit frost and ice on the coils 
 from the liberated moiisture, the air meantime remaining at 
 the saturation point and being so delivered to the rooms. The 
 undesirable feature of delivering saturated air to the rooms 
 may be avoided by cooling only part, say half of the air 
 stream, considerably lower than the final temperature de- 
 sired, and then mixing it with the other half, which is 
 drier, before delivering it to the rooms. The troublesome 
 coating of ice and frost on the pipes may be avoided by 
 combining the cooling system with the air washing system 
 and using a brine spray instead of water for washing the 
 air during cooling. The brine, which freezes at a very low 
 temperature compared with water, plays over the cooling 
 coils, and cleans both coils and air. The brine should pref- 
 erably be a chloride brine. A modification of this method of 
 avoiding ice and frost is to provide pans above the coils 
 and fill them with lumps of calcium chloride. The pans 
 have perforations so arranged that as the strong chloride 
 solution forms (due to the deliquescence of the salt) it 
 trickles down oyer the pipes and holds the freezing point 
 of any collecting moisture far below the temperature of the 
 coils. ;A sketch of this arrangement is shown in Fig. 149, 
 which has the disadvantage of the clumsy handling of the 
 calcium chloride. Plants operating only during the day, as for 
 
306 
 
 HEATING AND VENTILATION 
 
 ORlOC OF OILOUM 
 
 FIgr. 149. 
 
 Instance, auditoriums, commerce chambers, etc, often have 
 no equipment for preventing the accumulation of frost and 
 ice, it being allowed to form during the short period of use 
 and to melt during the period of rest. 
 
 208. Pipe Line Refrigeration: — In a number of the 
 larger cities refrigeration is furnished to such places as 
 cold storage rooms, restaurants, hotels, auditoriums, etc., 
 by a conduit system or central station system. The length 
 of the mains in the various cities where used, ranges from 
 a few hundred feet to twenty miles and the circulating 
 medium employed is either liquid ammonia or brine. In the 
 ammonia system two pipes are used, one carrying the liquid 
 ammonia to the place desired and the other returning it 
 after expansion to the central station. When brine is u?ed 
 It is good practice to circulate it at froml2 to 15 degrees P. 
 Occasionally the conduits carry three parallel pipes, two of 
 which are for circulating the brine and the third is for 
 emergency cases. The line should be divided into sections, 
 with valves and by-passes so arranged that a defective sec- 
 tion could be repaired without interfering with the other 
 parts. All valves should be readily accessible and all high 
 points In the system should be equipped with purge valves. 
 
REFRIGERATION 
 
 307 
 
 The service pipes should be two inches in diameter and 
 well insulated. 
 
 Either the ammonia absorption or compression system 
 may be used for cooling the brine but according to Mr. Jos. 
 H. Hart, the latter, making use of direct expansion, is the 
 most efficient and the one most commonly installed. The 
 loss by radiation to the pipes in the conduits is not great but 
 numerous mechanical difficulties are yet to be overcome. It 
 would seem desirable to make the pipe-line system of cool- 
 ing general for residence use but as yet it has not been 
 
 found economical to cool build- 
 ings using less than the 
 equivalent of 500 pounds of re- 
 frigeration in 24 hours. Al- 
 8*^^*«BMs| though not an efficient method, 
 
 <?=*' it seems probable that cold air 
 
 refrigeration by using balanced 
 expansion may supersede the 
 other systems. 
 
 209. As a Final Application 
 of refrigeration we may men- 
 tion the cooling of the drinking 
 water supply in large office 
 buildings, hotels, etc. Usually 
 this is simply a small part of 
 the work of a large refrigerat- 
 ing plant. Fig. 150 gives a dia- 
 grammatic elevation of such an 
 WMmMMmmmm . arrangement. 
 Fig. 150. 
 
CHAPTER XVII. 
 
 REUETRIGKRATION CALCULATIONS. 
 
 210. Unit Measurement of Refrigreration: — Since the 
 first efforts toward refrigeration employed the simple pro- 
 cess of melting ice by the abstraction of heat from nearby 
 articles, it is not surprising to find the accepted standard 
 unit for expres-sing refrigeration capacities referred to the 
 refrigerating effect of a known quantity of ice. In fact, 
 since the latent heat of fusion of ice is a constant, this 
 furnishes an excellent (basis for estimating refrigeration. 
 The generally accepted unit of measure Is the ton of refrigera- 
 tion, which may be defined as the amount of heat (B. t. u.) which 
 one ton of 2000 pounds of ice at S2 degrees, toill absorb in melting to 
 tcater at S2 degrees. Since the latent iheat o^ ice is 144 B, t. u. 
 per pound, one ton of Tefrigeration is equal to 288000 B. t. u. 
 Just as a pumiping plant is rated at a certain number of 
 millions of gallons, meaning millions of gallons in twenty- 
 fo-ur hours, so a refrigeration plant is rated in so many 
 tons of refrigeration, meaning so many tons in twenty-four 
 hours. Hence one ton of refrigeration capacity for one day 
 is equivalent to 12000 B. t. u. pe-r hour, this value being the 
 unit of refrigerating capacity, sometimes referred to as tonnage 
 capacity, or refrigerating effect, and usually designated by T. 
 
 211. Calculation of Required Capacity: — To estimate 
 closely the tonnage capacity of a refrigerating plant for 
 any certain store space requires specific attention to supply- 
 ing the folQowing losses: 
 
 (a) The radiated and conducted heat entering the 
 room. This may be divided into that due to the walls and 
 that due to the windows and sky-lights. 
 
 (lb) The heat entering iby the renewal of the air, or 
 ventilation of the enclosed space. This may be divided Into 
 heat given off by the air and iheat given off due to the 
 latent iheat of the moisture. 
 
 (c) The heat entering by the opening of doors.' 
 
 •(d) The heat from the men at work, lights, chemical 
 fermentation processes, etc. 
 
 (e) The heat abstracted from material In cold storage. 
 
 Refrigeration losses due to entrance of radiated and con- 
 ducted heat may be calculated by formulas 10, 11 and 12, 
 
REFRIGERATION 
 
 309 
 
 Chapter III, if the proper transmission constants are in- 
 serted. To obtain these constants for various types of in- 
 sulation use Tables IV and XXIX. 
 
 TABLE XXIX. 
 Heat Transmission of Standard Types of Dry Insulation. 
 
 Material 
 
 Mill 
 
 1" 
 
 2" 
 
 3" 
 
 4" 
 
 5" 
 
 6" 
 
 7" 
 
 8" 
 
 10" 
 
 12" 
 
 14" 
 
 16" 
 
 18" 
 
 20" 
 
 22" 
 
 24" 
 
 shavings, Type (a) 
 thickness 
 
 K 
 
 .1330 
 .1090 
 .0920 
 .0800 
 .0710 
 .0630 
 .0570 
 .0520 
 .0440 
 .0390 
 .0340 
 .0308 
 .0279 
 .0255 
 .0235 
 .0218 
 
 Material 
 
 Hair Felt, Type (a) 
 
 1" thickness 
 
 M". Vz", Vi", Type (c) 
 Sheet Cork, Type (d) 
 
 4" with 1" air space 
 
 5" with V air space 
 
 3", Type (b) 
 
 1", Type (a) 
 
 Granulated Cork 
 
 4", Type (a) 
 
 Mineral Wool 
 
 2%", Type (b) 
 
 1", Type (b) 
 
 Air Spaces 
 
 8", Type (a) 
 
 K 
 
 .138 
 .105 
 
 .050 
 .037 
 .087 
 .137 
 
 .071 
 
 .151 
 .192 
 
 .112 
 
 ^TAR FVXPER 
 SHAVING 5 
 
 TAR f^PtlR^ 
 /^^ORK^ 
 
 In general any space to be kept at or below zero degrees 
 should have insulation allowing no greater transmission 
 than .04, and for spaces to be kept at from degrees to 30 
 
310 HEATING AND VENTILATION 
 
 degrees no greater transmission should be allowed than .06, 
 while for temperatures above 30 degrees a transmission as 
 great as .1 is allowable. In any case, however, it should be 
 remembered that the heat loss, and therefore the expense of 
 operation, is directly proportional to this factor and the 
 beat possible insulation, consistent with available building 
 funds, is the one to use, the ceiling and floor being as care- 
 fully insulated as the walls. Window construction should 
 be tight, non-opening, and at least double. 
 
 The refrigeration loss due to ventilation may be considered 
 under two heads, i. e., the cooling of the air from the 
 higher to the lower temperature, and the cooling, condens- 
 ing and freezing of the moisture in the air. In this par- 
 ticular, air cooling cannot be considered exactly the re- 
 verse of air warming. In air warming the vapor present 
 absorbs heat but this vapor has so little heat capacity com- 
 pared with that of the air tha.t no noteworthy error is intro- 
 duced by ignoring the vapor. However, in air cooling the 
 dew point is almost invariai)ly reached and passed, so that 
 considerable moisture is changed from the vapor to tlie 
 liquid with a liberation of its heat of vaporization. This is 
 considerable and cannot be ignored without serious error. 
 If, further, conditions are such that this moisture is frozen, 
 its latent heat of freezing must also be accounted for. 
 These two items are relatively so large that to cool air 
 through a given range of temperature may involve several 
 times the heat transfer required to warm the same air 
 through the same range of temperature. 
 
 Application. — Assume outside air 95 degrees, relative 
 humidity 85 per cent., temperature of air upon leaving cool- 
 ing coils 30 degrees and temperature of coil surface 10 de- 
 grees. If 180000 cubic feet of air per hour are drawn in 
 from the atmosphere, the refrigerating capacity of the coils 
 may be obtained as follows. To cool the air from 95 degrees 
 to 30 degrees will require (formula 9), 
 
 180000 X (95 — 30) 
 
 = 212700 B. t. u. 
 
 55 
 
 At 95 degrees and 85 per cent, humidity one cubic foot of 
 air contains, (Table 10. Appendix,) .85 X 17.124 = 14.555 
 grains of moisture. At 30 degrees and saturation one cubic 
 
REFRIGERATION. 311 
 
 foot of air contains, (Table 10), 1.935 grains. Hence there 
 
 180000 (14.555 — 1.935) 
 
 would be deposited upon the coils 
 
 7000 
 
 324.5 pounds of moisture per hour. Now there would be 
 
 absorbed from each pound of this moisture 
 
 32 B. t. u. to cool from 95 to 32 degrees. 
 
 1073 B. t. u. to change to liquid form. 
 
 144 B. t. u. to freeze (if allowed to freeze on coils). 
 
 11 B. t» u. to cool from 32 to 10 degrees. 
 
 1260 B. t. u. total. 
 
 Hence the coils would have to absorb from the moisture 
 alone, 1260 X 324.5 = 408870 B. t. u. per hour, or for both 
 moisture and air, 212700 + 408870 = 621600 B. t. u. per hour. 
 This indicates, for the ventilation proposed, a tonnage capac- 
 ity of 621600 -r- 12000 = 51.8 tons of refrigeration needed at 
 the bunker room coils; The above provides that the air is 
 rejected at the interior temperature, 30 degrees. Modern 
 plants, however, would pre-cool the incoming air before it 
 reached the bunker room by having part of its heat ab- 
 sorbed by the outgoing 30 degree air, which would reduce 
 the estimate somewhat below 51.8 tons. 
 
 In considering the refrigeration loss due to the opening of 
 doors no rational method of calculation is applicable, but if 
 the nature of the cold storage service is such that doors are 
 frequently opened, as high as 25 per cent, may be allowed. 
 Generally this is taken from 10 to 15 per cent. 
 
 The refrigeration loss due to persons, lights, etc., may be 
 estimated as suggested in Art. 31. If the cooling air is 
 recirculated, the cooling and freezing of the moisture given 
 off by each person should be taken into account, especially 
 if the number is large. For this purpose it is safe to assume 
 a maximum of 500 grains of moisture given off per person 
 per hour when such persons are not engaged in active phy- 
 sical exercise. 
 
 212. Calculations for Square Feet of Cooling: Coil: — This 
 problem presents greater uncertainty in its solution than 
 does the design of a heating coil surface because of the lack 
 of experimental data and because of the variable insulat- 
 ing effect of ice and frost accumulations, if allowed to form. 
 Professor Hanz Lorenz in "Modern Refrigerating Machin- 
 ery," page 349, quotes 4 B. t. u. per square foot per hour per 
 
312 HEATING AND VENTILATION 
 
 degree difference between the average temperatures on the 
 Inside and outside of the coils, as a safe designing value 
 when the air speed is 1000 feet per minute over the coils. 
 This is for plants in continuous operation, as abattoirs, cold 
 stores and in places where no provision is made against ice 
 formation. For clean pipe surface in the plenum air cooling 
 plant of the New York Stock Exchange Building the heat 
 transmission is approximately 430 B. t. u. per square foot 
 per hour with air over coils at 1000 feet per minute. Under 
 the average temperatures there used, this corresponds to a 
 transmission per degree difference per square foo.t per hour 
 of approximately 7 B. t. u. These two values. 4 and 7, may 
 be taken as about the minimum and maximum transmission 
 constants for plenum cooling coil installations. 
 
 For direct cooling coils, where the pipe surface is sim- 
 ply exposed to the air of the room to be cooled. Lorenz 
 recommends a transmission allowance of not over 30 B. t. u. 
 per square foot per hour, for in such Installations the re- 
 moval of ice and frost is seldom contemplated. For an aver- 
 age room temperature of 30 degrees and average brine tem- 
 perature of 10 degrees, this would correspond to 30 ^ 20 = 
 1.5 B. t. u. transmitted per square foot per hour per degree 
 difference. 
 
 Application 1. — How many lineal feet of 1% inch direct 
 refrigerating coils would be required to keep a cold stor- 
 age room at 30 degrees if the refrigeration loss 4s 80000 
 B. t. u. per hour total and the temperatures of the brine en- 
 tering and leaving the coils are 10 degrees and 20 degrees 
 respectively? Average brine temperature = 15 degrees. Al- 
 lowing a transmission constant of 1.5, formula 30 becomes, 
 
 H 
 
 Rr = = — .0445 H 
 
 1.5 (15 — 30) 
 
 For this problem we have .0445 X 80000 = 3500 square feet, 
 or 3500 X 2.3 = 8050 lineal feet of 1^ inch pipe, 
 
 vApplicatiox 2.— The cooling of 180000 cubic feet of air per 
 hour in Art. 211 required the extraction of 621600 B. t. u. per 
 hour. Determine the plenum cooling surface required, if 
 brine enters at degrees and leaves at 20 degrees. 
 
 Average brine temperature = 10 degrees. Assuming 
 that there is provision for 1 eeping coils clear of ice. and 
 
REFRIGERATION 313 
 
 hence a transmission constant of 7 B. t. u. Is allowable, 
 formula 42 gives 
 
 621600 
 
 Rr = = — 1691 square feet of surface. 
 
 / 95 + 30 \ 
 
 The negative sign indicates a flow of heat in the direc- 
 tion opposite to the flow in heating installations, for which 
 the formula was primarily designed. 
 
 213. Genera] Application: — Considering the school build- 
 ing and the table of calculated results on pages 202 to 205 
 what amount of cooling coil surface would be required to 
 keep the temperature of all rooms of this building at 73 
 degrees on a day when the outside air temperature is 95 
 degrees and the relative humidity 85 per cent.? 
 
 Data Table XXV gives the total heat loss of the three 
 floors of this building as 1483250 B. t. u. per hour on a zero 
 day when the rooms are kept at 70 degrees. Now this same 
 building under the summer conditions would have delivered 
 to it heat due to a temperature difference of 95 degrees — 73 
 degrees = 22 degrees. Hence the total refrigeration loss dur- 
 
 22 
 
 ing the summer day would be approximately X 1483250 = 
 
 70 
 
 466000 B. t. u. per hour, which amount of heat would be used 
 to warm the incoming air from some temperature up to 73 
 degrees. Suppose the ventilation requirement of the build- 
 ing is 2000000 cubic feet per hour. Since it requires ^^^^ of 
 a B. t u. to warm one cubic foot of air one degree, [2000000 
 (73 — <)] -^ 55 = 466000, or t = 60.2, say 60 degrees. (See 
 Arts. 36 and 38 and observe that the second term of the right 
 hand member of formula 17 becomes a negative term). 
 
 While .the air is traversing the ducts between the coils 
 and the rooms, allow a rise in temperature of 5 degrees. 
 The coiLs would then be required to deliver 2000000 cubic 
 feet of air per hour at 55 degrees when supplied wILth air at 
 90 degrees and 85 per cent, humidity. To cool this amount 
 of air through the given range would require the absorption 
 of (formula 9), [2000000 X (95 — 55)] ^ 55 = 1454500 B. t. u. 
 At 95 degrees and 85 per cent, humidity, 1 cubic foot of air 
 contains (Table 10), .85 X 17.124 = 14.555 grains of moisture. 
 At 55 degrees and saturation point, 1 cubic foot of air con- 
 tains (Table 10), 4.849 grains of moisture. Hence, neglecting 
 
314 HEATING AND VENTILATION 
 
 change In air volume, there would be deposited on the colls 
 approximately [2000000 (14.555 — 4.849)] -^ 7000 = 2775 
 pounds of moisture per hour. 
 
 Now, if an average brine temperature of 10 degrees is 
 used and provision is made for keeping the coils clear of ice, 
 the condensation will leave at some temperature above 10 
 degrees, say 20 degrees, and there will be absorbed from 
 each pound of this moisture approximately 
 
 20 B. t. u. to cool from 95 to 55 degrees. 
 
 1061 B. t. u. to change to liquid form at 55 degrees. 
 35 B. t. u. to cool the water from 55 to 20 degrees. 
 
 1116 B. t. u. total. 
 
 Hence the coils would have to absorb from moisture alone, 
 2775 X 1116 = 3096900 B. t. u., or from both moisture and air 
 a total of 1454500 + 3096900 = 4551400 B. t. u. per hour. At 
 an allowed rate of transmission of 7 B. t. u. there would be 
 required to cool this building a total of approximately 9100 
 square feet of coil surface, under the conditions of ventila- 
 tion as assumed. 
 
 It should be noted that whereas only 3000 square feet 
 of plenum surface were sufficient to heat the building ac- 
 cording to Application 2, Art. 115, it requires fully three 
 times this amount of surface in cooling coils to cool the 
 building under the assumed conditions. Upon inspection It 
 is seen that the greatest work of the cooling coils is the 
 condensation and cooling of the moisture. 
 
 The relative humidity within the cooled rooms would be 
 approximately 55 per cent., for the content per cubic foot of 
 incoming air is 4.849 grains, and the capacity of the air 
 when heated to 73 degrees is 8.782 grains showing a relative 
 
 4.849 
 
 humidity, after heating, of = 55 per cent. This would 
 
 8.782 
 
 be raised somewhat by the persons present. 
 
 214. Ice Making: Capacity. Calculation: — Neglecting 
 losses, the ice making capacity of a refrigerating plant for 
 a certain refrigeration tonnage may be expressed 
 
 144 T 
 J =. (1T)7) 
 
 (t — 32) + 144 + -5 (32 — fi) 
 
 in which / = tons of ice produced per 24 hours, T = refrlg- 
 
REFRIGERATION 315 
 
 eration tonnage or rating of plant, t = initial temperature of 
 water and <i = final temperature of ice, usually 12 to 18 
 degrees. 
 
 • Application. — What should be the ice making capacity of 
 a plant having a tonnage rating of 100, if * = 70 degrees and 
 h = 16 degrees? Take losses at 35 per cent. 
 
 .65 X 144 X 100 
 
 I = = 49.3 tons in 24 hours. 
 
 (70 — 32) +144 + .5 (32 — 16) 
 
 215. Gallon Degree Calculation: — For use in plants pro- 
 ducing ice by brine circulation a unit called the gallon degree 
 is sometimes used. It represents a change of one degree 
 temperature in 1 gallon of brine in one minute of time. 
 It is not a fixed unit representing a constant num- 
 ber of B. t. u., since the brine strength, and therefore its 
 specific heat, may vary. The value in B. t. u. per minute, of 
 a gallon degree for any plant may be obtained by multiply- 
 ing the specific gravity of the brine by its specific heat and 
 by 8.35, the weight of one gallon of water, or as a formula 
 may be stated 
 
 D = 8.35 gh (108) 
 
 where D = B. t. u. per minute equal to one gallon degree, 
 g = specific gravity of brine and h = specific heat of brine. 
 The number of gallon degrees per ton of refrigerating capacity may 
 be found by dividing 200 by D, since one ton of refrigerating 
 capacity is equal to 200 B. t. u. per minute, then 
 
 200 24 
 
 Dt = = for all practical purposes. (109) 
 
 8.35 gh gh 
 
 The refrigerating capacity of a given brine circulation may be 
 
 obtained by dividing the product of the gallons circulated 
 
 and the rise in brine temperature by the value Dt. Stated 
 
 as a formula this is 
 
 0(t2 — ts) ghGCts — ts) 
 
 T = = (110) 
 
 Dt 24 
 
 where T = tonnage capacity, O = gallons of brine circu- 
 lated per minute and (tz — ts) = rise of brine temperature. 
 216. Refrig^erating: Capacity of Brine Cooled System: — 
 
 To calculate the capacity but two things are required, the 
 amount of brine circulated, and the rise in temperature of 
 the brine. From these the capacity may be obtained by 
 the formula 
 
<{16 HEATING AND VENTILATION 
 
 W h (t2 — is) 
 
 T = (111) 
 
 12000 
 
 where T = tonnage capacity, W = weight of brine circulated. 
 in pounds, h = specific heat of brine and (?2 — 's) = rise in 
 temperature of brine. 
 
 217. Cost of Ice Making and Refrigeration: — The cost of 
 ice manufacture is affected principally by the following 
 items: price and kind of fuel. Icind of water, cost of labor, 
 regularity of operation, method of estimating costs, etc. 
 It is found in practice to range anywhere from $0.50 to 
 $2.50 per ton. The items making up the cost of ice manu- 
 facture are: fuel for power, labor at the plant, water, am- 
 monia and minor supplies, maintenance of the plant, inter- 
 est and taxes, and administration. Mr. J, E. Siebel in his 
 "Compend of Mechanical Refrigeration and Engineering" 
 gives an itemized account of the daily operating expense of 
 a 100-ton plant with which he was connected, the plant 
 operating 24 hours per day. 
 
 Chief engineer $ 5.00 
 
 Assistant engineers 6.00 
 
 Firemen 4.00 
 
 Helpers 5.00 
 
 Ice pullers 9.00 
 
 Expenses 12.00 
 
 Coal at $1.10 per ton 18.00 
 
 Delivery (wholesale) 50c per ton 50.00 
 
 Repairs, etc 3.00 
 
 Insurance, taxes, etc 6.00 
 
 Interest on capital 20.55 
 
 Total for 100 tons of ice $138.55 
 
 The length of time that the ice i? permitted to freeze 
 is a factor affecting the cost of production. The following 
 figures are given for a 10-ton plant: 
 
 Ten tons Ten tons 
 
 In 12 hours in 24 hours 
 
 Engineer $2.50 $ 5.00 
 
 Fireman . 1.50 3.00 
 
 Tankmen, helpers . . 1.50 3.00 
 
 Coal 3.00 3.00 
 
 Repairs, supplies, etc. 1.50 1.50 
 
 Total for 10 tons $10.00 $15.50 
 
REFRIGERATION 
 
 317 
 
 Mr. A. P. Criswell, in "Ice and Refrigeration," gives the 
 following approximate costs for the production of can ice 
 per ton with coal at $2.50 per ton and with a simple distill- 
 ing system. The figures are for the plant operating at full 
 capacity and do not include cost of administration. 
 
 Capacity of plant Cost per ton 
 
 10 tons $1.58 
 
 20 " 1.48 
 
 30 " 1.42 
 
 40 " 1.38 
 
 50 " 1.36 
 
 70 " 1.34 
 
 100 " l.?4 
 
 120 " 1.30 
 
 Mr. Karl Wegemann states that a certain moderate sized 
 plant of the absorption system produced ice for a number 
 of years at an average cost of $0.85 per ton after allowing 
 for melting and breakage. This included all charges ex- 
 cept for interest, insurance and administration. 
 
 The following figures taken from the books of another 
 plant show clea,rly the effect of demand upon the cost of 
 manufacture. 
 
 Month Cost per ton 
 
 January $3.50 
 
 February 3.70 
 
 March 2.80 
 
 April 2.17 
 
 May 1.75 
 
 June 1.19 
 
 July 1.02 
 
 August 1.02 
 
 September 1.03 
 
 October 1.26 
 
 N9vember 2.10 
 
 December 2.94 
 
318 HEATING AND VENTILATION 
 
 REFERENCES. 
 References on Refrigeration. 
 
 Technical Books. 
 
 A. J. Wallis-Taylor, Pocket-Book of Refrigeration. John 
 Wemyss Anderson, Refrigeration. James Alfred Ewing, Mechan- 
 ical Refrigeration. J. E. Siebel, Compend of Mechanical Refriger- 
 ation. International Library of Technology, pp. 643-966. I. C. S. 
 Pamphlets, 1238 A, 1238 B, 1238 C. 1240, 1241. 1242, 1243, 
 1246 A, 1246 B, 1247 and 1250. American School of Corre- 
 spondence; Refrigeration, Dickerman & Boyer; Refrigeration, Mil- 
 ton W. Arrowwood. 
 
 Technical Periodicals. 
 
 Ice and Refrigeration. The Ice Factory of the Future, Vic- 
 tor H. Becker, Jan. 1910. Cell Box System for Making- Raw 
 Water Ice, A. C. Bishop. Dep. 1909. The Flooded System, H. 
 Rassbach, Jan. 1910. Baker Chocolate Cooling Plant. Aug. 
 1910. The Working Fluid in Refrigeration, H. J. Maclntyre, 
 Nov. 1910. Sulphur Dioxide as Refrigerating Agent, W. S, 
 Douglas, Oct. 1911. Dry Blast Refrigeration, Nov. 1912. 
 Power, Artificial Systems of Refrigeration, C. P. Wood, May 
 
 3, 1910. Mechanical Refrigeration, F. E. Matthews, Aug. 9, 
 1910. Elements of Compression System, F. E. Matthews, 
 Sept. 6, 1910. Can and Plate Systems of Making Ice, F. E. 
 Matthews, Mar. 14, 1911. Cold Storage of Furs and Fabrics, 
 E. F. Tweedy, Feb. 20, 1912. Ammonia Absorption Refrig- 
 eration System, Fred Ophuls. Apr. 23, 1912. Cent-ral Refrig- 
 erating Plant at Atlanta. Georgia. May 7, 1912. Pre-Cooling 
 Plant of Southern Pacific Railway, LeRoy W. Allison, June 
 
 4. 1912. Cooling Air of Buildings by Mechanical Refrigera- 
 tion, E. F. Tweedy, Nov. 28. 1911. Electrical World. Ice Mak- 
 ing from Exhaust Steam, Apr. 7, 1910. 
 
CHAPTER XVIII. 
 
 PLANS AND SPECIFICATIONS FOR HEATING SYSTEMS. 
 
 218. In Planning^ for and Exeoutlng Engineering Con- 
 tracts, the responsibilities assumed by the various interested 
 parties should be thoroughly studied. The following outline 
 shows the relationship between these parties and the order 
 of the responsibility. 
 
 ^ /Engineer. 
 
 Owner I „ . 
 
 I Superintendent and Inspector. 
 or / 
 
 --, , \ General contractor, Subcontractors, Foremen and 
 
 Purchaser I 
 
 I Workmen. 
 
 The engineer, the superintendent and the general con- 
 tractor occupy positions of like responsibility with relation 
 to the purchaser. The first two work for the interest of the 
 purchaser to obtain the best possible results for the least 
 money, and the last endeavors to fulfill the contract to the 
 satisfaction of the superintendent, at the least possible ex- 
 pense to himself. These points of view are quite different 
 and sometimes are antagonistic, but both are right and just. 
 Of the three parties, the engineer has the greatest respon- 
 sibility. It is his duty to draw up the plans and to write 
 the specifications in such a way that every point is niade 
 clear and that no question of dispute may arise between the 
 superintendent and the contractor. His plans should detail 
 every part of the design with full notes. His specifications 
 should explain all points that are difficult to delineate on the 
 plans. They should give the purchaser's views covering all 
 preferences, and should definitely state where and what ma- 
 terials may be substituted. Where any point is not definitely 
 settled and left to the judgment of the contractor, he may 
 be expected to interpret this point in his favor and use the 
 cheapest material that in his judgment will give good re- 
 sults. This opinion may differ from that held by the pur- 
 chaser. All parts should be made so plain that no two opin- 
 ions could be had on any important point. The engineer 
 should also be careful that the plans and specifications agree 
 in every part. The inspector is the superintendent's repre- 
 sentative on the grounds and is supposed to inspect and 
 pass upon all materials delivered on the grounds, and the 
 
320 HEATING AND VENTILATION 
 
 quality of workmanship In installing-. For such Information 
 see Byrne's "Inspector's Pocket-Book." The general con- 
 tractor usually sublets parts of the contract to subcon- 
 tractors who work through the foreman and workmen to 
 finish the work upon the same basis as the general con- 
 tractor. 
 
 The following brief set of specifications are not con- 
 sidered complete but are merely inserted to sugg'est how 
 such work is done. 
 
 Typical Speoifientlons. 
 
 Title Page: — 
 
 SPECIFICATIONS 
 
 for the 
 
 MATERIALS AND WORKMANSHIP 
 
 Recruired to Install 
 
 (Type of system) 
 
 HEATING AND VENTILATING SYSTEM 
 
 in the 
 
 (Building) 
 
 (Location) 
 by 
 
 (Name of designer) 
 IxDEX Page: — 
 
 (To be compiled after the specifications are written.) 
 
 General Remarks to Contractor. — In the following specifi- 
 cations, all -references to the Owner or Purchaser will mean 
 
 or any person or persons delegated by 
 
 to serve as the representative. The Super- 
 intendent of Buildings will be the purchaser's representative at 
 all times, unless otherwise definitely stated. The contractor 
 will, therefore, refer all doubtful questions or misunder- 
 
TYPICAL SPECIFICATIONS S21 
 
 standings, if any, to the superintendent, whose decision wlli 
 be final. In case of any doubt concerning the meaning of 
 any part of the plans or specifications, the contractor shall 
 obtain definite interpretation from the superintendent be- 
 fore proceeding with the work. 
 
 These specifications with the accompanying plans and 
 details (sheets .... to .... inclusive) cover the purchase of 
 all the materials as specified later (the same materials to 
 be new in every case), and the installation of the same in a 
 first class manner within the above named building, located 
 at . (street) .... (city) .... (state). 
 
 It will be understood that the successful bidder, herein- 
 after called the contractor, shall work in conformity with 
 these plans and specifications and shall, to the best of his 
 ability, carry out their true intent and meaning. He shall 
 purchase and erect all materials and apparatus required to 
 m-ake the above system complete in all its parts, supplying 
 only such quality of materials and workmanship as will har- 
 monize with a first class system and develop satisfactory 
 results when working under the heaviest service to which 
 such plants are subjected. 
 
 The contractor shall lay out his own work and be re- 
 sponsible for its fitting to place. He shall keep a competent 
 foreman on the grounds and shall properly protect his work 
 at all times, making good any damage that may come to it, 
 or to the building, or to the work of other contractors from 
 any source whatsoever, which may be chargeable to himself 
 or to his employees in the course of their operations. 
 
 Any defects in materials or workmanship, other than 
 as stated under — (state exceptions if any) — ^that may develop 
 within one year, shall be made good by the contractor upon 
 written notification from the purchaser without additional 
 cost to the purchaser. 
 
 The contractor shall, wherever it is found necessary, 
 make all excavations and back-fill to the satisfaction of the 
 superintendent. 
 
 The contractor shall be responsible for all cuttings of 
 wood work, brick work or cement work, found necessary 
 in fitting his materials to place, either within or without the 
 building; the cutting to be done to the satisfaction of the 
 superintendent. The contractor shall be required to connect 
 and supply water and gas for building purposes, and shall 
 
322 HEATING AND VENTILATION 
 
 assume all responsibility for the same. 
 
 The contractor shall be required to protect the purchaser 
 from damage suits, originating from personal injuries re- 
 ceived during the progress of the work; also, from actions 
 at law because of the use of patented articles furnished by 
 the contractor; also, from any lien or liens arising because 
 of any materials or labor furnished. 
 
 The purchaser reserves the right to reject any or all 
 bids. 
 
 No changes in these plans and specifications will be 
 allowed except upon written agreement signed by both the 
 contractor and the purchaser's representative. 
 
 System. — Specify the system of heating in a general way; 
 high pressure, low pressure or vacuum; direct, direct-indi- 
 rect or indirect radiation; basement or attic mains; one 
 or two-pipe connections to radiators. If ventilation is 
 provided, state the movement of the air and the general 
 arrangement of fans, coils or other heating surfaces. Single 
 or double duct air lines, etc. 
 
 Boilers. — ^Specify type, number, size and capacity, steam, 
 pressure, approximate horse-power, heating surface, grate 
 surface and kind of coal to be used. Locate on plan and ele- 
 vation. Explain method of setting, portable or brick. 
 Specify also, flue connection, heating and water pipe con- 
 nections, kind of grate, thermometers, gages, automatic 
 damper connection, firing tools and conditions of final tests. 
 
 Conduits and Conduit Mains. — (In this it is assumed that the 
 boilers are not within the building). In addition to the lay- 
 out, give sections of the conduit on plans sliowing method 
 of construction, supporting and insulating pipes, and drain- 
 age of pipes and conduits. Specify quality and size of mate- 
 rials, pitch and drainage of pipes and all other points not 
 specially provided for in the plans. 
 
 Anchors. — Locate and draw on plans and specify for the 
 installation regarding quality of materials. 
 
 Expansion Joints or Take-ups. — Locate and draw on plans. 
 Select type of joint and specify for amount of safe take-up 
 and for quality of material. 
 
 Mains and Returns. — Trace the steam from the point where 
 It enters the main, through all the special fittings of the 
 
 system. Show where the condensation is dripped 
 
 to the returns tlirough traps or separating devices. Specify 
 
TYPICAL. SPECIFICATIONS 323 
 
 amount and direction of pitch, kind of fittings (flanged or 
 screwed, cast iron or malleable iron), kind of corners (long 
 or short), method of taking up expansion and contraction. 
 Trace returns and specify dry or wet. 
 
 Branches to Risers. — Take branches from top of mains by 
 tees, short nipples and ells, and enter the bottom of the 
 risers by sufficient inclination to give good drainage. 
 
 Risers. — Locate risers according to plan. They shall be 
 straight and plumb and shall conform to the sizes given on 
 the plans. No riser shall overlap the casing around win- 
 dows. State how branches are to be taken off leading to 
 radiators, relative to the ceiling or floor. 
 
 Radiator Connections. — 'Specify, one-pipe or two-pipe, num- 
 ber and kind of valves, sizes of connections and hand or 
 automatic control. All connections shall allow for good 
 drainage and expansion. Distinguish between wall radiator 
 and floor radiator connections. If automatic control is used, 
 hand valves at the radiators are usually omitted. 
 
 Radiators. — Specify floor or wall radiators, with type, 
 height, number of columns and number of sections. If other 
 radiators are substituted for the ones that are referred to 
 as acceptable, they must be of equal amount of surface and 
 acceptable to the superintendent. Specify brackets for wall 
 radiators, also, air valves for all radiators, stating type 
 and location on the radiator. Require all radiators to be 
 cleaned with water or steam at the factory and plugged at 
 inlet and outlet for shipment. 
 
 Piping. — Define quality, weight and material in all mains, 
 branches and risers. All sizes above one and one-half inch 
 are usually lap welded. Piping should be stood on end and 
 pounded to remove all scale before going into the system. 
 All pipes 1 inch and smaller should be reamed out full size 
 after cutting. 
 
 Fittings. — Specify quality of fittings, whether light, stand- 
 ard or heavy, malleable or cast iron. Fittings with imper- 
 fect threads should be rejected. 
 
 Valves. — Specify type (globe, gate or check), whether 
 flanged or screwed, rough or smooth body, cast iron or 
 brass, and give pressure to be carried. All valves should 
 be located on the plans. 
 
 Expansion Tank. — Specify capacity of tank in gallons, kind 
 
324 HEATING AND VENTILATION 
 
 of tank (square or round, wood or steel), method of connect- 
 ing up with fittings and valves, and locate defini-tely on plan 
 and elevation. Connect also to fresh water supply and to 
 overflow. 
 
 Hangers and Ceiling Plates. — Wall radiators and horizontal 
 runs of pipe shall be supported on suitable expansion hang- 
 ers or wall supports that will permit of absolute freedom of 
 expansion. Supports shall be placed .... feet centers. Pipe 
 holes in concrete floors shall be thimbled. Holes through 
 wooden walls and floors shall have suitable air space around 
 the pipe, and all openings shall be covered with ornamental 
 floor, ceiling or wall plates. 
 
 Traps. — Specify type, size, capacity and location. State 
 whether flanged or screwed fittings are used and whether 
 by-pass connection will be pu)t in. Refer to plans. 
 
 Pressure Regulating Talve. — Specify type, size and location, 
 also maximum and minimum steam pressure, with guaran- 
 tee to operate under slight change of pressure. State if 
 by-pass should be used and explain with plans. 
 
 Separators. — Specify type (horizontal or vertical), also 
 size and location. 
 
 Automatic Control. — The contractor will be held responsible 
 for ithe installation of all thermostats, regulator valves, air 
 compressor, piping and fittings required to equip all rooms 
 and halls with an automatic .... temperature control sys- 
 tem. Specify approximate location and number of thermo- 
 stats with the desired finish. Specify in a general way, reg- 
 ulator valves on radiaitors, quality of pipe, maximum test 
 pressure for pipe, power for air supply (hydraulic, pneu- 
 matic, etc.), and supply tank. All materials in the tem- 
 perature control system shall be guaranteed first class by 
 the manufacturer through the contractor, and the system 
 shall be guaranteed to give perfect control for a period of 
 (two) years. 
 
 Fans. — Specify for direct connected or belt driven, right 
 or left hand, capacity, size, housing, direction of discharge, 
 horse-power, R. P. M. and pressure. State in a general way 
 the requirements of the fan wheel, steel plate housing, shaft, 
 bearings and the method of lubrication. 
 
 Engine. — Specify type, horse-power, steam pressure, ap- 
 proximate cut-off, speed and kind of control. 
 
TYPICAL SPECIFICATIONS 325 
 
 Electric Motors. — Specify type, horse-power, voltage, cycles, 
 phases and R. P. M. 
 
 Indirect Heating Surface. — 'Specify the kind of surface to 
 be put in and then state the total number of square feet 
 of surface, with the width, height and depth of the heater. 
 Staite definitely how the heaters will be assembled, giving 
 free height of heater above the floor. Describe damper con- 
 trol, steam piping to and from heater, housing around heater, 
 connection from cold air inlet to heater and connection from 
 heater to fan. See plans. The contractor will usually follow 
 installation instructions given by the manufacturers for the 
 erection of the heater and engine, consequently the speci- 
 fications should bear heavily only upon those points which 
 may be varied to suit any condition. All valves, piping and 
 fittings in this work should be controlled by the general 
 specifications referring to these parts. 
 
 Foundations. — Specify materials and sizes. 
 
 Air Ducts, Stacks and Galvanized Iron Work. — The drawings 
 should give the layout of all the air lines, giving connections 
 between the air lines and the fan, and the air lines and the 
 registers. Where these air lines are below the floor, the 
 conduit construction should be carefully noted. All gal- 
 vanized iron work should be shown on the plans and the 
 quality and weight should be specified. Air lines should 
 have long raaius turns at the corners. 
 
 Registers. — Specify height above floor, nominal size of 
 register, naethod of fitting in wall, the finish of the regis- 
 ter and whether fitted with shutters or not. 
 
 Protection and Covering. — Specify kind and quality of pip6 
 covering and the finish of the surface of the covering. State 
 the amount of space between heating pipes and unprotected 
 woodwork. Distinguish between pipes that are to be covered 
 and those that are to be painted. All radiators and piping 
 not covered should be painted with two coats of .... bronze 
 or other finish acceptable to the superintendent. 
 
 Completion. — Require all rubbish removed from the build- 
 ing and immediate grounds and deposited at a definite place. 
 
APPENDIX 
 L 
 
 GENERAL TABLES. 
 HEATING AND VENTILATION. 
 
 Tables in body of text are numbered in Roman 
 numerals, those in the Appendixes are numbered in 
 Arabic numerals. 
 
 All tables that are not considered general are credited 
 and added by permission of the authors. 
 
 327 
 
TABLE 1. 
 Squares, Cubet*, Square RootM, Cube RootM, Circles. 
 
 No. 
 
 Square 
 
 Cube 
 
 Sq. 
 root 
 
 Cube 
 root 
 
 Circle 
 
 Diam. 
 
 Circumf 
 
 Area 
 
 .1 
 
 .010 
 
 .001 
 
 .316 
 
 .464 
 
 .314 
 
 .00785 
 
 .2 
 
 .040 
 
 .008 
 
 .447 
 
 .585 
 
 .628 
 
 .03146 
 
 .3 
 
 .090 
 
 .027 
 
 .548 
 
 .669 
 
 .942 
 
 .07069 
 
 .4 
 
 .160 
 
 .064 
 
 .633 
 
 .737 
 
 1.257 
 
 .12566 
 
 .5 
 
 .250 
 
 .125 
 
 .707 
 
 .794 
 
 1.570 
 
 .19635 
 
 .6 
 
 .360 
 
 .216 
 
 .775 
 
 .843 
 
 1.885 
 
 .28274 
 
 .7 
 
 .490 
 
 .343 
 
 .837 
 
 .888 
 
 2.200 
 
 .38485 
 
 .8 
 
 .640 
 
 .512 
 
 .894 
 
 .928 
 
 2.513 
 
 .50266 
 
 .9 
 
 .810 
 
 .729 
 
 .949 
 
 .965 
 
 2.830 
 
 .63620 
 
 1.0 
 
 1.000 
 
 1.000 
 
 1.000 
 
 1.000 
 
 3.1416 
 
 .7854 
 
 1.1 
 
 1.210 
 
 1.331 
 
 1.0488 
 
 1.0323 
 
 3.456 
 
 .9503 
 
 1.2 
 
 1.440 
 
 1.730 
 
 1.0955 
 
 1.0627 
 
 3.770 
 
 1.1310 
 
 1.3 
 
 1.690 
 
 2.197 
 
 1.1402 
 
 1.0914 
 
 4.084 
 
 1.3273 
 
 1.4 
 
 1.960 
 
 2.744 
 
 1.1832 
 
 1.1187 
 
 4.398 
 
 1.5394 
 
 1.5 
 
 2.250 
 
 3.375 
 
 1.2247 
 
 1.1447 
 
 4.712 
 
 1.7672 
 
 1.6 
 
 2.560 
 
 4.096 
 
 1.2649 
 
 1.1696 
 
 5.027 
 
 2.0106 
 
 1.7 
 
 2.890 
 
 4.913 
 
 1.3038 
 
 1.1935 
 
 5.341 
 
 2.2698 
 
 1.8 
 
 3.240 
 
 5.a32 
 
 1.3416 
 
 1.2164 
 
 5.655 
 
 2.5447 
 
 1.9 
 
 3.610 
 
 6.859 
 
 1.3784 
 
 1.2386 
 
 5.969 
 
 2.8353 
 
 2.0 
 
 4.000 
 
 8.000 
 
 1.4142 
 
 1.2599 
 
 6.283 
 
 3.1416 
 
 2.1 
 
 4.410 
 
 9.261 
 
 1.4491 
 
 1.2806 
 
 6.597 
 
 3.4636 
 
 2.2 
 
 4.840 
 
 10.648 
 
 1.4832 
 
 1.3006 
 
 6.912 
 
 3.8013 
 
 2.3 
 
 5.290 
 
 12.167 
 
 1.5166 
 
 1.3200 
 
 7.226 
 
 4.1548 
 
 2.4 
 
 5.760 
 
 18.824 
 
 1.5492 
 
 1.3389 
 
 7.540 
 
 4.5239 
 
 2.5 
 
 6.250 
 
 15.625 
 
 1.5811 
 
 1.3572 
 
 7.854 
 
 4.9087 
 
 2.6 
 
 6.760 
 
 17.576 
 
 1.6125 
 
 1.3751 
 
 8.168 
 
 5.3093 
 
 2.7 
 
 7.290 
 
 19.683 
 
 1.6432 
 
 1.3925 
 
 8.482 
 
 5.7256 
 
 2.8 
 
 7.840 
 
 21.952 
 
 1.6733 
 
 1.4095 
 
 8.797 
 
 6.1575 
 
 2.9 
 
 8.410 
 
 24.389 
 
 1.7029 
 
 1.4260 
 
 9.111 
 
 6.6052 
 
 3.0 
 
 9.000 
 
 27.000 
 
 1.7321 
 
 1.4422 
 
 9.425 
 
 7.0688 
 
 3.1 
 
 9.610 
 
 29.791 
 
 1 . 7607 
 
 1.4581 
 
 9.739 
 
 7.5477 
 
 3.2 
 
 10.240 
 
 32.768 
 
 1.7889 
 
 1.47;J6 
 
 10.053 
 
 8.0J25 
 
 3.3 
 
 10.890 
 
 35.937 
 
 1.8166 
 
 1.4888 
 
 10.367 
 
 8.5530 
 
 3.4 
 
 11.560 
 
 39.304 
 
 1.8439 
 
 1.5037 
 
 10.681 
 
 9.0792 
 
 3.5 
 
 12.250 
 
 42.875 
 
 1.8708 
 
 1.5183 
 
 10.996 
 
 9.6211 
 
 3.6 
 
 12.960 
 
 46.6J6 
 
 1.8974 
 
 1.5326 
 
 11.310 
 
 10.179 
 
 3.7 
 
 13.690 
 
 50.653 
 
 1.9235 
 
 1.5467 
 
 11.624 
 
 10.752 
 
 3.8 
 
 14.440 
 
 54.872 
 
 1.9494 
 
 1.5605 
 
 11.9.'« 
 
 11.341 
 
 3.9 
 
 15.210 
 
 59.319 
 
 1.9748 
 
 1.5741 
 
 12.252 
 
 11.946 
 
 4.0 
 
 16.000 
 
 64.000 
 
 2.0000 
 
 1.5870 
 
 12.566 
 
 12.566 
 
 4.1 
 
 10.810 
 
 68.921 
 
 2.0249 
 
 1.6005 
 
 12.881 
 
 13.20.? 
 
 4.2 
 
 17.640 
 
 74.088 
 
 2.0494 
 
 1.6134 
 
 13.195 
 
 13.854 
 
 4.3 
 
 18.490 
 
 79.. '507 
 
 2.0736 
 
 1.6261 
 
 13.559 
 
 14.522 
 
 4.4 
 
 19.360 
 
 85.184 
 
 2.0976 
 
 1.6386 
 
 13.823 
 
 15.205 
 
 328 
 

 
 
 
 
 Olrnle 
 
 No, 
 
 Square 
 
 Oube 
 
 Sq. 
 root 
 
 Oube 
 root 
 
 
 
 Diam. 
 
 Oircumf 
 
 Area 
 
 4.5 
 
 20.250 
 
 91.125 
 
 2.1213 
 
 1.6510 
 
 14.137 
 
 15.904 
 
 4.6 
 
 21.160 
 
 97.336 
 
 2.1448 
 
 1.6631 
 
 14.451 
 
 16.619 
 
 4.7 
 
 22.090 
 
 103.823 
 
 2.1680 
 
 1.6751 
 
 14.765 
 
 17.349 
 
 4.8 
 
 23.040 
 
 110.592 
 
 2.1909 
 
 1.6869 
 
 15.080 
 
 18.096 
 
 4.9 
 
 24.010 
 
 117.649 
 
 2.2136 
 
 1.6985 
 
 15.394 
 
 18.859 
 
 5.0 
 
 25.000 
 
 125.000 
 
 2.2361 
 
 1.7100 
 
 15.708 
 
 19.635 
 
 5.1 
 
 26.010 
 
 132.651 
 
 2.2583 
 
 1.7213 
 
 16.022 
 
 20.428 
 
 5.2 
 
 27.040 
 
 140.608 
 
 2.2804 
 
 1.7325 
 
 16.336 
 
 21.237 
 
 5.3 
 
 28.090 
 
 148.877 
 
 2.3022 
 
 1.7435 
 
 16.650 
 
 22.062 
 
 5.4 
 
 29.160 
 
 157.464 
 
 2.3238 
 
 1.7544 
 
 16.965 
 
 22.902 
 
 5.5 
 
 30.250 
 
 166.375 
 
 2.3452 
 
 1.7652 
 
 17.279 
 
 23.758 
 
 5.6 
 
 31.360 
 
 175.616 
 
 2.3664 
 
 1.7760 
 
 17.593 
 
 24.630 
 
 5.7 
 
 32.490 
 
 185.193 
 
 2.3875 
 
 1.7863 
 
 17.907 
 
 25.518 
 
 5.8 
 
 33.640 
 
 195.112 
 
 2.4083 
 
 1.7967 
 
 18.221 
 
 26.421 
 
 5.9 
 
 34.810 
 
 205.379 
 
 2.4290 
 
 1.8070 
 
 18.536 
 
 27.340 
 
 6.0 
 
 36.000 
 
 216.000 
 
 2.4495 
 
 1.8171 
 
 18.850 
 
 28.274 
 
 6.1 
 
 37.210 
 
 226.981 
 
 2.4698 
 
 1.8272 
 
 19.164 
 
 29.225 
 
 6.2 
 
 38.440 
 
 238.328 
 
 2.4900 
 
 1.8371 
 
 19.478 
 
 30.191 
 
 6.3 
 
 39.690 
 
 250.047 
 
 2.5100 
 
 1.8469 
 
 19.792 
 
 31.173 
 
 6.4 
 
 40.960 
 
 262.144 
 
 2.5298 
 
 1.8566 
 
 20.106 
 
 32.170 
 
 6.5 
 
 42.250 
 
 274.625 
 
 2.5495 
 
 1.8663 
 
 20.420 
 
 33.183 
 
 6.6 
 
 43.560 
 
 287.496 
 
 2.5691 
 
 1.8758 
 
 20.735 
 
 34.212 
 
 6.7 
 
 44.890 
 
 300.763 
 
 2.5884 
 
 1.8852 
 
 21.049 
 
 35.257 
 
 6.8 
 
 46.240 
 
 314.432 
 
 2.6077 
 
 1.8945 
 
 21.363 
 
 36.317 
 
 6.9 
 
 47.610 
 
 328.509 
 
 2.6268 
 
 1.9038 
 
 21.677 
 
 37.393 
 
 7.0 
 
 49.000 
 
 343.000 
 
 2.6458 
 
 1.9129 
 
 21.991 
 
 38.485 
 
 7.1 
 
 50.410 
 
 357.911 
 
 2.6646 
 
 1.9220 
 
 22.305 
 
 39.592 
 
 7.2 
 
 51.840 
 
 373.248 
 
 2.6833 
 
 1.9310 
 
 22.619 
 
 40.715 
 
 7.3 
 
 53.290 
 
 389.017 
 
 2.7019 
 
 1.9399 
 
 22.934 
 
 41.854 
 
 7.4 
 
 54.760 
 
 405.224 
 
 2.7203 
 
 1.9487 
 
 23.248 
 
 43.008 
 
 7.5 
 
 56.250 
 
 421.875 
 
 2.7386 
 
 1.9574 
 
 23.562 
 
 44.179 
 
 7.6 
 
 57.760 
 
 438.976 
 
 2.7568 
 
 1.9661 
 
 23.876 
 
 45.365 
 
 7.7 
 
 59.290 
 
 456.5.33 
 
 2.7749 
 
 1.9747 
 
 24.190 
 
 46.566 
 
 7.8 
 
 60.840 
 
 474.552 
 
 2.7929 
 
 1.9832 
 
 24.504 
 
 47.784 
 
 7.9 
 
 62.410 
 
 493.039 
 
 2.8107 
 
 1.9916 
 
 24.819 
 
 49.017 
 
 8.0 
 
 64.000 
 
 512.000 
 
 2.8284 
 
 2.0000 
 
 25.133 
 
 50.266 
 
 8.1 
 
 65.610 
 
 531.441 
 
 2.8461 
 
 2.0083 
 
 25.447 
 
 51.530 
 
 8.2 
 
 67.240 
 
 551.468 
 
 2.8636 
 
 2.0165 
 
 25.761 
 
 52.810 
 
 8.3 
 
 68.890 
 
 571.787 
 
 2.8810 
 
 2.0247 
 
 26.075 
 
 54.106 
 
 8.4 
 
 70.560 
 
 592.704 
 
 2.8983 
 
 2.0328 
 
 26.389 
 
 65.418 
 
 8.5 
 
 72.250 
 
 614.125 
 
 2.9155 
 
 2.0408 
 
 26.704 
 
 56.745 
 
 8.6 
 
 73.960 
 
 636.056 
 
 2.9326 
 
 2.0488 
 
 27.018 
 
 58.088 
 
 8.7 
 
 75.690 
 
 658.503 
 
 2.9496 
 
 2.0567 
 
 27.332 
 
 59.447 
 
 8.8 
 
 77.440 
 
 681.473 
 
 2.9665 
 
 2.0646 
 
 27.646 
 
 60.821 
 
 8.9 
 
 79.210 
 
 704.969 
 
 2.9833 
 
 2.0724 
 
 27.960 
 
 62.211 
 
 329 
 

 
 
 
 
 Circle 
 
 No. 
 
 Square 
 
 Cube 
 
 Sq. 
 root 
 
 Cube 
 root 
 
 
 
 Diam. 
 
 Oircumf 
 
 Area 
 
 9.0 
 
 81.000 
 
 729.000 
 
 3.0000 
 
 2.0801 
 
 28.274 
 
 63.617 
 
 9.1 
 
 82.810 
 
 753.571 
 
 3.0166 
 
 2.0678 
 
 28.588 
 
 65.039 
 
 9.2 
 
 84.640 
 
 778.688 
 
 3.0332 
 
 2.0954 
 
 28.903 
 
 66.476 
 
 9.3 
 
 86.490 
 
 804.357 
 
 3.0496 
 
 2.1029 
 
 29.217 
 
 67.929 
 
 9.4 
 
 88.360 
 
 830.584 
 
 3.0659 
 
 2.1105 
 
 29.531 
 
 69.398 
 
 9.5 
 
 90.250 
 
 857.375 
 
 3.0822 
 
 2.1179 
 
 29.845 
 
 70.882 
 
 9.6 
 
 92.160 
 
 884.736 
 
 3.0984 
 
 2.1253 
 
 30.159 
 
 72.382 
 
 9.7 
 
 94.090 
 
 912.673 
 
 3.1145 
 
 2.1327 
 
 30.473 
 
 73.898 
 
 9.8 
 
 96.040 
 
 941.192 
 
 3.1305 
 
 2.1400 
 
 30.788 
 
 75.430 
 
 9.9 
 
 98.010 
 
 970.299 
 
 3.1464 
 
 2.1472 
 
 31.102 
 
 76.977 
 
 10 
 
 100.000 
 
 1000.000 
 
 3.1623 
 
 2.1544 
 
 31.416 
 
 78.540 
 
 11 
 
 121.000 
 
 1331.000 
 
 3.3166 
 
 2.2239 
 
 34.558 
 
 95.033 
 
 12 
 
 144.000 
 
 1728.000 
 
 3.4641 
 
 2.2894 
 
 37.699 
 
 113.097 
 
 13 
 
 169.000 
 
 2197.000 
 
 3.6056 
 
 2.3513 
 
 40.841 
 
 132.732 
 
 14 
 
 196.000 
 
 2744.000 
 
 3.7417 
 
 2.4101 
 
 43.982 
 
 153.938 . 
 
 15 
 
 225.000 
 
 3375.000 
 
 3.8730 
 
 2.4662 
 
 47.124 
 
 176.715 
 
 16 
 
 256.000 
 
 4096,000 
 
 4.0000 
 
 2.5198 
 
 50.265 
 
 201.062 
 
 17 
 
 289.000 
 
 4913.000 
 
 4.1231 
 
 2.5713 
 
 53.407 
 
 226.980 
 
 18 
 
 324.000 
 
 5832.000 
 
 4.2426 
 
 2.6207 
 
 56.549 
 
 254.469 
 
 19 
 
 361.000 
 
 6859.000 
 
 4.3589 
 
 2.6684 
 
 59.690 
 
 283.529 
 
 20 
 
 400.000 
 
 8000.000 
 
 4.4721 
 
 2.7144 
 
 62.832 
 
 314.159 
 
 21 
 
 441.000 
 
 9261.000 
 
 4.5826 
 
 2.7589 
 
 65.793 
 
 346.361 
 
 22 
 
 484.000 
 
 10648.000 
 
 4.6904 
 
 2.8021 
 
 69.115 
 
 380.133 
 
 23 
 
 529.000 
 
 12167.000 
 
 4.7958 
 
 2.8439 
 
 72.257 
 
 415.476 
 
 24 
 
 576.000 
 
 13824.000 
 
 4.8990 
 
 2.8845 
 
 75.398 
 
 452.389 
 
 25 
 
 625.000 
 
 15625.000 
 
 5.0000 
 
 2.9241 
 
 78.540 
 
 490.874 
 
 26 
 
 676.000 
 
 17576.000 
 
 5.0990 
 
 2.9625 
 
 81.681 
 
 580.929 
 
 27 
 
 729.000 
 
 19683.000 
 
 5.1962 
 
 3.0000 
 
 84.823 
 
 572 . 555 
 
 28 
 
 784.000 
 
 21952.000 
 
 5.2915 
 
 3.0366 
 
 87.965 
 
 615.752 
 
 29 
 
 841.000 
 
 24389.000 
 
 5.3852 
 
 3.0723 
 
 91.106 
 
 660.520 
 
 30 
 
 900.000 
 
 27000.000 
 
 5.477ti 
 
 3.1072 
 
 94.248 
 
 706.858 
 
 31 
 
 961.000 
 
 29791.000 
 
 5.5678 
 
 3.1414 
 
 97.389 
 
 754.768 
 
 32 
 
 1024.000 
 
 32768.000 
 
 5.6569 
 
 3.1748 
 
 100.531 
 
 804.248 
 
 33 
 
 1089.000 
 
 35937.000 
 
 5.7446 
 
 3.2075 
 
 103.673 
 
 851.299 
 
 34 
 
 1156.000 
 
 39304.000 
 
 5.8310 
 
 3.2396 
 
 106.841 
 
 907.920 
 
 35 
 
 1225.000 
 
 42875.000 
 
 5.9161 
 
 3.2710 
 
 109.956 
 
 962.113 
 
 36 
 
 1296.000 
 
 46656.000 
 
 6.0000 
 
 3.3019 
 
 113.097 
 
 1017.88 
 
 37 
 
 1369.000 
 
 50653.000 
 
 6.0827 
 
 3.3.3-22 
 
 116.239 
 
 1075.21 
 
 38 
 
 1444.000 
 
 54872.000 
 
 6.1644 
 
 3.3620 
 
 119.381 
 
 1134.11 
 
 39 
 
 1521.000 
 
 59319.000 
 
 6.2450 
 
 3.3912 
 
 122.522 
 
 1194.59 
 
 40 
 
 1600.000 
 
 64000.000 
 
 6.3246 
 
 3.4200 
 
 125.66 
 
 1256.64 
 
 41 
 
 1681.000 
 
 68921.000 
 
 6.4031 
 
 3.4482 
 
 128.81 
 
 1320.25 
 
 42 
 
 1764.000 
 
 74088.000 
 
 6.4807 
 
 3.4760 
 
 131.95 
 
 1385.44 
 
 43 
 
 1849.000 
 
 79507.000 
 
 6.5574 
 
 3.5034 
 
 135.09 
 
 1452.20 
 
 44 
 
 1936.000 
 
 85184.000 
 
 6.6333 
 
 3.5303 
 
 138.23 
 
 1520.53 
 
 330 
 
No. 
 Diam. 
 
 Square 
 
 Cube 
 
 Sq. 
 
 root 
 
 Cube 
 root 
 
 Circle 
 
 Circumf 
 
 Area 
 
 45 
 46 
 47 
 48 
 49 
 
 50 
 51 
 52 
 53 
 
 54 
 
 55 
 56 
 57 
 58 
 59 
 
 60 
 61 
 62 
 63 
 64 
 
 65 
 66 
 67 
 68 
 69 
 
 70 
 71 
 72 
 73 
 
 74 
 
 75 
 76 
 
 77 
 78 
 79 
 
 80 
 81 
 82 
 83 
 84 
 
 85 
 86 
 87 
 88 
 89 
 
 2025.000 
 2116.000 
 2209.000 
 2304.000 
 2401.000 
 
 2500.000 
 2601.000 
 2704.000 
 2809.000 
 2916.000 
 
 3025.000 
 3136.000 
 3249.000 
 3364.000 
 3481.000 
 
 3600.000 
 3721.000 
 3844.000 
 3969.000 
 4096.000 
 
 4225.000 
 4356.000 
 4489.000 
 4624.000 
 4761.000 
 
 4900.000 
 5041.000 
 5184.000 
 5329.000 
 5476.000 
 
 5625.000 
 5776.000 
 5929.000 
 6084.000 
 6241.000 
 
 6400.000 
 6561.000 
 6724.000 
 6889.000 
 7056.000 
 
 7225.000 
 7396.000 
 7569.000 
 7744.000 
 7921.000 
 
 91125.000 
 
 97336.000 
 
 103823.000 
 
 110592.000 
 
 117649.000 
 
 125000.000 
 132651.000 
 140608.000 
 148877.000 
 157464.000 
 
 166375.000 
 175616.000 
 185193.000 
 195112.000 
 205379.000 
 
 216000.000 
 226981.000 
 238328.000 
 250047.000 
 262144.000 
 
 274625.000 
 287496.000 
 300763.000 
 314432.000 
 328509.000 
 
 343000.000 
 357911.000 
 373248.000 
 389017.000 
 405224.000 
 
 421875.000 
 438976.000 
 456533.000 
 474552.000 
 493039.000 
 
 512000.000 
 531441.000 
 551368.000 
 571787.000 
 592704.000 
 
 614125.000 
 636056.000 
 658503.000 
 681472.000 
 704969.000 
 
 6.7082 
 
 3.5569 
 
 6.7823 
 
 3.5830 
 
 6.8557 
 
 3.6088 
 
 6.9282 
 
 3.6342 
 
 7.0000 
 
 3.6593 
 
 7.0711 
 
 3.6840 
 
 7.1414 
 
 3.7084 
 
 7.2111 
 
 3.7325 
 
 7.2801 
 
 3.7563 
 
 7.3485 
 
 3.7798 
 
 7.4162 
 
 3.8030 
 
 7.4833 
 
 3.8259 
 
 7.5498 
 
 3.8485 
 
 7. '6158 
 
 3.8709 
 
 7.6811 
 
 3.8930 
 
 7.7460 
 
 3.9149 
 
 7.8102 
 
 3.9365 
 
 7.8740 
 
 3.9579 
 
 7.9373 
 
 3.9791 
 
 8.0000 
 
 4.0000 
 
 8.0623 
 
 4.0207 
 
 8.1240 
 
 4.0412 
 
 8.1854 
 
 4.0615 
 
 8.2462 
 
 4.0617 
 
 8.3066 
 
 4.1016 
 
 8.3666 
 
 4.1213 
 
 8.4261 
 
 4.1408 
 
 8.4853 
 
 4.1602 
 
 8.5440 
 
 4.1793 
 
 8.6023 
 
 4.1983 
 
 8.6603 
 
 4.2172 
 
 8.7178 
 
 4.2358 
 
 8.7750 
 
 4.2543 
 
 8.8.318 
 
 4.2727 
 
 8.8882 
 
 4.2908 
 
 8.9443 
 
 4.3089 
 
 9.0000 
 
 4.3267 
 
 9.0554 
 
 4.3445 
 
 9.1104 
 
 4.3621 
 
 9.1652 
 
 4.3795 
 
 9.2195 
 
 4.S9C, 
 
 9.2736 
 
 4.4140 
 
 9.3274 
 
 4.4310 
 
 9.3808 
 
 4.4480 
 
 9.4340 
 
 4.4647 
 
 141.37 
 144.51 
 147.65 
 150.80 
 153.94 
 
 157.08 
 160.22 
 163.. 36 
 166.50 
 169.65 
 
 172.79 
 175.93 
 179.07 
 182.21 
 185.35 
 
 188.50 
 191.64 
 194.78 
 197.92 
 201.06 
 
 204.20 
 207.34 
 210.49 
 213.63 
 216.77 
 
 219.91 
 223.05 
 226.19 
 229.34 
 232.48 
 
 235.62 
 238.76 
 241.90 
 245.04 
 248.19 
 
 251.33 
 254.47 
 257.61 
 260.75 
 263.89 
 
 267.04 
 270.18 
 273.32 
 276.46 
 279.60 
 
 1590.43 
 1661.90 
 1734.94 
 1809.56 
 1885.74 
 
 1963.50 
 2042.82 
 2123.72 
 2206.18 
 2290.22 
 
 2375.83 
 2463.01 
 2551.76 
 2642.08 
 2733.97 
 
 2827.43 
 2922.47 
 3019.07 
 3117.25 
 3216.99 
 
 3318.31 
 3421.19 
 3525.65 
 3631.68 
 3739.28 
 
 3848.45 
 3959.19 
 4071.50 
 4185.39 
 4300.84 
 
 4417.86 
 4536.46 
 4656.63 
 4778.36 
 4901.67 
 
 5026.55 
 5153.00 
 5281.02 
 5410.61 
 5541.77 
 
 5674.50 
 5808.80 
 5944.68 
 6082.12 
 6221.14 
 
 331 
 
No. 
 
 Square 
 
 Cube 
 
 Sq. 
 root 
 
 Cube 
 root 
 
 Circle 
 
 Diam. 
 
 Oircumf 
 
 Area 
 
 90 
 
 8100.000 
 
 729000.000 
 
 9.4868 
 
 4.4814 
 
 282.74 
 
 6361.73 
 
 91 
 
 8281.000 
 
 753571.000 
 
 9.5394 
 
 4.4979 
 
 285.88 
 
 6503.88 
 
 92 
 
 8464.000 
 
 778688.000 
 
 9.5917 
 
 4.5144 
 
 289.03 
 
 6647.61 
 
 93 
 
 8649.000 
 
 804357.000 
 
 9.6437 
 
 4.5307 
 
 292.17 
 
 6792.91 
 
 94 
 
 8836.000 
 
 830584,000 
 
 9.6954 
 
 4.5468 
 
 295.81 
 
 6939.78 
 
 95 
 
 9025.000 
 
 857375.000 
 
 9.7468 
 
 4.5629 
 
 298.45 
 
 7088.22 
 
 96 
 
 9216.000 
 
 884736.000 
 
 9.7980 
 
 4.5789 
 
 301.59 
 
 7238.23 
 
 97 
 
 9409.000 
 
 912673.000 
 
 9.8489 
 
 4.5947 
 
 304.73 
 
 7389.81 
 
 98 
 
 9604.000 
 
 941 192. (KX) 
 
 9.8995 
 
 4.6104 
 
 307.88 
 
 7542.96 
 
 99 
 
 9801.000 
 
 970299.000 
 
 9.9499 
 
 4.6261 
 
 311.02 
 
 7697.69 
 
 100 
 
 10000.000 
 
 1000000.000 
 
 10.0000 
 
 4.6416 
 
 314.16 
 
 7853.98 
 
 105 
 
 11025.000 
 
 1157625.000 
 
 10.2470 
 
 4.7177 
 
 329.87 
 
 865J.01 
 
 110 
 
 12100.000 
 
 1331000.000 
 
 10.4881 
 
 4.7914 
 
 345.58 
 
 9503.32 
 
 115 
 
 13225.000 
 
 1520875.000 
 
 10.7238 
 
 4.8629 
 
 361.28 
 
 10386.89 
 
 120 
 
 14400.000 
 
 1728000.000 
 
 10.9545 
 
 4.9324 
 
 376.99 
 
 11309.73 
 
 125 
 
 15625.000 
 
 1953125. OOP 
 
 11.1803 
 
 5.0000 
 
 392.70 
 
 12271.85 
 
 130 
 
 16900.000 
 
 2197000.000 
 
 11.4018 
 
 5.0658 
 
 408.41 
 
 13273.23 
 
 135 
 
 18225.000 
 
 2460375.000 
 
 11.6190 
 
 5.1299 
 
 424.12 
 
 14313.88 
 
 140 
 
 19600.000 
 
 2744000.000 
 
 11 .8322 
 
 5.1925 
 
 439.82 
 
 15393.80 
 
 145 
 
 21025.000 
 
 3048625.000 
 
 12,0416 
 
 5,2536 
 
 455.53 
 
 16513.00 
 
 150 
 
 22500.000 
 
 3375000.000 
 
 12.2474 
 
 5.3133 
 
 471.24 
 
 17671.46 
 
 155 
 
 24025.000 
 
 3723875.000 
 
 12.4499 
 
 5.3717 
 
 486.95 
 
 18869.19 
 
 160 
 
 2:)600.000 
 
 4096000.000 
 
 12.6491 
 
 5.4288 
 
 502.65 
 
 20106.19 
 
 165 
 
 27225.000 
 
 4492125.000 
 
 12.8452 
 
 5.4848 
 
 518.36 
 
 21382.46 
 
 170 
 
 28900.000 
 
 4913000.000 
 
 13.0384 
 
 5.5397 
 
 534.07 
 
 22698.01 
 
 175 
 
 30625.000 
 
 5359375.000 
 
 13.2288 
 
 5.5934 
 
 549.78 
 
 24052.82 
 
 180 
 
 32400.000 
 
 58:52000.000 
 
 13.4164 
 
 5.6462 
 
 565.49 
 
 25446. 9^ 
 
 185 
 
 34225.000 
 
 6331625.000 
 
 13.6015 
 
 5.6980 
 
 581.19 
 
 26880.25 
 
 190 
 
 36100.000 
 
 6859000.000 
 
 13.7840 
 
 5.7489 
 
 596.90 
 
 28352.87 
 
 195 
 
 38025.000 
 
 7414875.000 
 
 13.9642 
 
 5.7989 
 
 612.61 
 
 29864.77 
 
 200 
 
 40000.000 
 
 8000000.000 
 
 14.1421 
 
 5.8480 
 
 628.32 
 
 31415.93 
 
 205 
 
 42025.000 
 
 8615125.000 
 
 14 3178 
 
 5.8964 
 
 644.03 
 
 3.3006..% 
 
 210 
 
 44100.000 
 
 9261000.000 
 
 14.4914 
 
 5.9439 
 
 659.73 
 
 34636.06 
 
 215 
 
 46225.000 
 
 9938375.000 
 
 14.6629 
 
 5.9907 
 
 675.44 
 
 36305.03 
 
 220 
 
 48400.000 
 
 10648000.000 
 
 14.8324 
 
 6.0368 
 
 691.15 
 
 38013.27 
 
 225 
 
 50625.000 
 
 11390625.000 
 
 15.0000 
 
 6.0822 
 
 706.86 
 
 39760.78 
 
 230 
 
 52iK)0.00O 
 
 12167000.000 
 
 15.1658 
 
 6.1269 
 
 722.57 
 
 41547.56 
 
 235 
 
 55225.000 
 
 12977875.000 
 
 15.3297 
 
 6.1710 
 
 738.27 
 
 43.373.61 
 
 240 
 
 57600.000 
 
 13824000.000 
 
 15.4919 
 
 6.2145 
 
 75:^.98 
 
 452;«.93 
 
 245 
 
 60025.000 
 
 14706125.000 
 
 15.6525 
 
 6.2573 
 
 769.69 
 
 47143.52 
 
 250 
 
 62500.000 
 
 1562.5000.000 
 
 15.8114 
 
 6.2996 
 
 785.40 
 
 49087.39 
 
 255 
 
 65025.000 
 
 16.581.375.000 
 
 15.9687 
 
 6.3413 
 
 801.11 
 
 511)70.52 
 
 260 
 
 67600.000 
 
 17576000.000 
 
 16.1245 
 
 6.;i825 
 
 816.81 
 
 53092.92 
 
 265 
 
 70225.000 
 
 18^)09625. 0(X) 
 
 16.2788 
 
 6.4232 
 
 832.52 
 
 55154.59 
 
 270 
 
 72900.000 
 
 19683000.000 
 
 16.4317 
 
 6.4633 
 
 848.23 
 
 57255.53- 
 
 ?32 
 
* 
 
 
 
 
 
 Circlft 
 
 No. 
 
 Square 
 
 Cube 
 
 ■ Sq. 
 root 
 
 Cube 
 root 
 
 
 
 Diam. 
 
 Circuml 1 
 
 Area 
 
 275 
 
 75625.000 
 
 20796875.000 
 
 16.5831 
 
 6.5030 
 
 863.94 
 
 59395.74 
 
 280 
 
 78400.000 
 
 21952000.000 
 
 16.7332 
 
 6.5421 
 
 879.65 
 
 61575.22 
 
 285 
 
 81225.000 
 
 23149125.000 
 
 16.8819 
 
 0.5808 
 
 895.35 
 
 63793.97 
 
 290 
 
 84100.000 
 
 24389000.000 
 
 17.0294 
 
 6.6191 
 
 911.06 
 
 66051.99 
 
 295 
 
 87025.000 
 
 25672375.000 
 
 17.1756 
 
 6.6569 
 
 926.77 
 
 68349.28 
 
 300 
 
 90000.000 
 
 27000000.000 
 
 17.3205 
 
 6.6943 
 
 942.48 
 
 70685.83 
 
 305 
 
 93025.000 
 
 28372625.000 
 
 17.4642 
 
 6.7313 
 
 958.19 
 
 73061.66 
 
 310 
 
 96100.000 
 
 29791000.000 
 
 17.6068 
 
 6.7679 
 
 973.89 
 
 75476.76 
 
 315 
 
 99225.000 
 
 31255875.000 
 
 17.7482 
 
 6.8041 
 
 989.60 
 
 77931.13 
 
 320 
 
 102400.000 
 
 32768000.000 
 
 17.8885 
 
 6.8399 
 
 1005.31 
 
 80424.77 
 
 325 
 
 105625.000 
 
 34328125.000 
 
 18.0278 
 
 6.8753 
 
 1021.02 
 
 82957.68 
 
 330 
 
 108900.000 
 
 35937000.000 
 
 18.1659 
 
 6.9104 
 
 1036.73 
 
 85529.86 
 
 335 
 
 112225.000 
 
 37595375.000 
 
 18.3030 
 
 6.9451 
 
 1052.43 
 
 88141.31 
 
 340 
 
 115600.000 
 
 39304000.000 
 
 18.4391 
 
 6.9795 
 
 1068.14 
 
 90792.03 
 
 345 
 
 119025.000 
 
 41063625.000 
 
 18.5742 
 
 7.0136 
 
 1083.85 
 
 93482.02 
 
 350 
 
 122500.000 
 
 42875000.000 
 
 18.7083 
 
 7.0473 
 
 1099.56 
 
 96211.28 
 
 355 
 
 126025.000 
 
 44738875.000 
 
 18.8414 
 
 7.0807 
 
 1115.27 
 
 98979.80 
 
 360 
 
 129600.000 
 
 46656000.000 
 
 18.9737 
 
 7.1138 
 
 1130.97 
 
 101787.60 
 
 365 
 
 133225,000 
 
 48627125.000 
 
 19.1050 
 
 7.1466 
 
 1146.68 
 
 104634.67 
 
 370 
 
 136900.000 
 
 50653000.000 
 
 19.2354 
 
 7.1791 
 
 1162.39 
 
 107521.01 
 
 375 
 
 140625.000 
 
 52734375.000 
 
 19.3649 
 
 7.2112 
 
 1178.10 
 
 110446.62 
 
 380 
 
 144400.000 
 
 54872000.000 
 
 19.4936 
 
 7.2432 
 
 1193.81 
 
 113411.49 
 
 385 
 
 148225.000 
 
 57066625.000 
 
 19.6214 
 
 7.2748 
 
 1209.51 
 
 116415.64 
 
 390 
 
 152100.000 
 
 59319000.000 
 
 19.7484 
 
 7.3061 
 
 1225.22 
 
 119459.06 
 
 395 
 
 156025. 000 
 
 61629875.000 
 
 19.8746 
 
 7.3372 
 
 1240.93 
 
 122541.75 
 
 400 
 
 160000.000 
 
 64000000.000 
 
 20.0000 
 
 7.3681 
 
 1256.64 
 
 125663.71 
 
 405 
 
 164025.000 
 
 66430125.000 
 
 20.1246 
 
 7.3986 
 
 1272.35 
 
 128824.93 
 
 410 
 
 168100.000 
 
 68921000.000 
 
 20.2485 
 
 7.4290 
 
 1288.05 
 
 132025.43 
 
 415 
 
 172225.000 
 
 71473375.000 
 
 20.3715 
 
 7.4590 
 
 1303.76 
 
 135265.20 
 
 420 
 
 176400.000 
 
 74088000.000 
 
 20.4939 
 
 7.4889 
 
 1319.47 
 
 138544.24 
 
 425 
 
 180625.000 
 
 76765625.000 
 
 20.6155 
 
 7.5185 
 
 1335.18 
 
 141862.54 
 
 430 
 
 184900.000 
 
 79507000.000 
 
 20.7364 
 
 7.5478 
 
 1350.88 
 
 145220.12 
 
 435 
 
 189225.000 
 
 82312875.000 
 
 20.8567 
 
 7.5770 
 
 1366.59 
 
 148616.97 
 
 440 
 
 193600.000 
 
 85184000.000 
 
 20.9762 
 
 7.6059 
 
 1382.30 
 
 152053.08 
 
 445 
 
 198025.000 
 
 88121125.000 
 
 21.0950 
 
 7.6346 
 
 1398.01 
 
 155528.47 
 
 450 
 
 202500.000 
 
 91125000.000 
 
 21.2132 
 
 7.6631 
 
 1413.72 
 
 159043.13 
 
 455 
 
 207025.000 
 
 94196375.000 
 
 21.3307 
 
 7.6914 
 
 1429.42 
 
 162597.05 
 
 460 
 
 211600.000 
 
 97336000.000 
 
 21.4476 
 
 7.7194 
 
 1445.13 
 
 166190.25 
 
 465 
 
 216225.000 
 
 100544625.000 
 
 21.5639 
 
 7.7473 
 
 1460.84 
 
 169822.72 
 
 470 
 
 220900.000 
 
 103823000.000 
 
 21.6795 
 
 7.7750 
 
 1476.55 
 
 173494.45 
 
 475 
 
 225625.000 
 
 107171875.000 
 
 21.7945 
 
 7.8025 
 
 1492.26 
 
 177205.46 
 
 480 
 
 230400.000 
 
 110592000.000 
 
 21.9089 
 
 7.8297 
 
 1507.96 
 
 180955.74 
 
 485 
 
 235225.000 
 
 114084125.000 
 
 22.0227 
 
 7.8568 
 
 1523.67 
 
 184745.28 
 
 490 
 
 240100.000 
 
 117649000.000 
 
 22.1359 
 
 7.8837 
 
 1539.38 
 
 188574.10 
 
 495 
 
 245025.000 
 
 121287375.000 
 
 22.2486 
 
 7.9105 
 
 1555.09 
 
 192442.18 
 
 500 
 
 250000.000 
 
 125000000.000 
 
 22.3607 
 
 7.9370 
 
 1570.80 
 
 196349.54 
 
 333 
 
TABLE 2. 
 Trigronometrle Fnnctlons. 
 
 Angle, 
 degrees 
 
 Sine 
 
 Tangent 
 
 
 Angle, 
 degrees 
 
 Sine 
 
 Tangent 
 
 
 0.0 
 
 0.00000 
 
 0.00000 
 
 90.0 
 
 47.5 
 
 0.73728 
 
 1.0913 
 
 42.5 
 
 2.5 
 
 0. 04302 
 
 0.04362 
 
 87.5 
 
 50.0 
 
 0.76604 
 
 1.1917 
 
 40.0 
 
 5.0 
 
 0.0S716 
 
 0.08749 
 
 85.0 
 
 52.5 
 
 0.79335 
 
 1.3032 
 
 37.5 
 
 7.5 
 
 0.13053 
 
 0.13165 
 
 82.5 
 
 55.0 
 
 0.81915 
 
 1.4281 
 
 35.0 
 
 10.0 
 
 0.17365 
 
 0.17633 
 
 80.0 
 
 57.5 
 
 0.84339 
 
 1.5697 
 
 32.5 
 
 12.5 
 
 0.21644 
 
 0.22169 
 
 77.5 
 
 60.0 
 
 0.86603 
 
 1.7321 
 
 30.0 
 
 15.0 
 
 0.25882 
 
 0.26795 
 
 75.0 
 
 62.5 
 
 0.88701 
 
 1.9210 
 
 27.5 
 
 17.5 
 
 0.30071 
 
 0.31530 
 
 72.5 
 
 65.0 
 
 0.90631 
 
 2.1445 
 
 25.0 
 
 20.0 
 
 0.34202 
 
 0.36397 
 
 70.0 
 
 67.5 
 
 0.92388 
 
 2.4142 
 
 22.5 
 
 22.5 
 
 0.38263 
 
 0.41421 
 
 67.5 
 
 70.0 
 
 0.93969 
 
 2.7474 
 
 20.0 
 
 • 25.0 
 
 0.42262 
 
 0.46631 
 
 6o.O 
 
 72.5 
 
 0.95372 
 
 3.1716 
 
 17.5 
 
 27.5 
 
 0.46175 
 
 0.52057 
 
 62.5 
 
 75.0 
 
 0.96593 
 
 3.7321 
 
 15.0 
 
 30.0 
 
 0.50000 
 
 0.57735 
 
 60.0 
 
 77.5 
 
 0.97630 
 
 4.5107 
 
 12.5 
 
 32.5 
 
 0.53730 
 
 0.63707 
 
 57.5 
 
 80.0 
 
 0.9&481 
 
 5.6713 
 
 10.0 
 
 35.0 
 
 0.57358 
 
 0.70021 
 
 55.0 
 
 SS.5 
 
 0.99144 
 
 7.5958 
 
 7.5 
 
 37.5 
 
 0.60876 
 
 0.76733 
 
 52.5 
 
 85.0 
 
 0.99619 
 
 11.430 
 
 5.0 
 
 40.0 
 
 0.64279 
 
 0.83910 
 
 50.0 
 
 87.0 
 
 0.99863 
 
 19.081 
 
 3.0 
 
 42.5 
 
 0.67559 
 
 0.91633 
 
 . 47.5 
 
 88.5 
 
 0.99966 
 
 38.188 
 
 1.5 
 
 45.0 
 
 0.70711 
 
 1.0000 
 
 45.0 
 
 90.0 
 
 1.0000 
 
 Infinite 
 
 0.0 
 
 
 Cosine 
 
 Cotan- 
 
 Angle, 
 
 
 Cosine 
 
 Cotan- 
 
 Angle, 
 
 
 
 gent 
 
 degrees 
 
 
 gent 
 
 degrees 
 
 TABLE 3. 
 Eqnlvalents of Compound I'nlts. 
 
 f 27.71 in. of water at 62" F. 
 I 2.0355 in. of mercury at 32" P. 
 1 lb. per sq. In. =-! 2.M16 in. of mercury at 62° F. 
 
 2.3090 ft. of water at 62" F. 
 
 L 
 
 1784. 
 
 ft. of air at 32° F. 
 
 1 oz. per sq. in. 
 
 1 in. of water at 62 
 
 — 10.1276 in. of mercury at 62° F. 
 
 (0. 
 
 i2° F. =-^5. 
 
 lo. 
 
 732 in. of water at 62° F. 
 
 0.03609 lb. or .5574 oz. per s. in. 
 196 lbs, per sq. ft. 
 0736 in. of mercury at 62° F. 
 
 1 in. of water at 32° F. =j''-2021 lbs. per sq. ft. 
 
 / 0.036125 lb. per sq. in. 
 
 ( 0.491 lb. or 7.86 oz. per sq. In. 
 = < 1.132 ft. of Mater at 62° F. 
 ( 13.58 in. of water at 62° F. 
 
 1 In. of mercury at 62° F. 
 
 1 ft. of air nt .32° F = j 0.0005606 lb. per sq. in. 
 
 I 0.015534 in. of water at 62° P. 
 
 334 
 
TABLE 4. 
 
 Properties of Saturated Steam.* 
 
 Absolute 
 
 Tempera- 
 
 Heat 
 
 Heat of the 
 
 Total 
 
 press're lbs. 
 
 ture 
 
 of the 
 
 vaporiza- 
 
 heat 
 
 per sq. In. 
 
 deg. F. 
 
 liquid 
 
 tion 
 
 above 32® 
 
 1 
 
 101.84 
 
 69.8 
 
 1034.7 
 
 1104.5 
 
 2 
 
 126.15 
 
 94.2 
 
 1021.9 
 
 1116.1 
 
 3 
 
 141.52 
 
 109.6 
 
 1012.2 
 
 1121.8 
 
 4 
 
 153.00 
 
 121.0 
 
 1005.5 
 
 1126.5 
 
 5 
 
 162.26 
 
 130.3 
 
 1000.0 
 
 1130.3 
 
 6 
 
 170.07 
 
 138.1 
 
 995.5 
 
 1133.6 
 
 7 
 
 176.84 
 
 144.9 
 
 991.4 
 
 1136.3 
 
 8 
 
 182.86 
 
 150.9 
 
 987.8 
 
 1138.7 
 
 9 
 
 188.27 
 
 156.4 
 
 984.5 
 
 1140.9 
 
 10 
 
 193.21 
 
 161.3 
 
 981.4 
 
 1142.7 
 
 11 
 
 197.74 
 
 165.9 
 
 978.6 
 
 1144.5 
 
 12 
 
 201.95 
 
 170.1 
 
 976.0 
 
 1146.1 
 
 13 
 
 205.87 
 
 174.1 
 
 973.6 
 
 1147.7 
 
 14 
 
 209.55 
 
 177.8 
 
 971.2 
 
 1149.0 
 
 14.7 
 
 212.00 
 
 180.3 
 
 969.7 
 
 1150.0 
 
 is 
 
 213.03 
 
 181.3 
 
 969.1 
 
 1150.4 
 
 16 
 
 216.31 
 
 184.6 
 
 967.0 
 
 1151.6 
 
 17 
 
 219.43 
 
 187.8 
 
 965.0 
 
 1152.8 
 
 18 
 
 222.40 
 
 190.8 
 
 963.1 
 
 1153.9 
 
 19 
 
 225.24 
 
 193.7 
 
 961.2 
 
 1154.9 
 
 20 
 
 227.95 
 
 196.4 
 
 959.4 
 
 1155.8 
 
 21 
 
 230.56 
 
 199.1 
 
 957.7 
 
 1156,8 
 
 22 
 
 233.07 
 
 201.6 
 
 956.0 
 
 1157.6 
 
 23 
 
 235.50 
 
 204.1 
 
 954.4 
 
 1158.5 
 
 24 
 
 237.82 
 
 206.4 
 
 952.9 
 
 1159.3 
 
 25 
 
 240.07 
 
 208.7 
 
 951.4 
 
 1160.1 
 
 26 
 
 242.26 
 
 210.9 
 
 949.9 
 
 1160.8 
 
 27 
 
 244.36 
 
 213.0 
 
 948.5 
 
 1161.5 
 
 28 
 
 246.41 
 
 215.1 
 
 947.1 
 
 1162.2 
 
 29 
 
 248.41 
 
 217.2 
 
 945.8 
 
 1163.0 
 
 SO 
 
 250.34 
 
 219.1 
 
 944.4 
 
 1163.5 
 
 31 
 
 252.22 
 
 221.0 
 
 943.1 
 
 1164.1 
 
 32 
 
 254.05 
 
 222.9 
 
 941.8 
 
 1164.7 
 
 S3 
 
 255.84 
 
 224.7 
 
 940.6 
 
 1165.3 
 
 34 
 
 257.59 
 
 226.5 
 
 939.4 
 
 1165.9 
 
 35 
 
 259.29 
 
 228.2 
 
 938.2 
 
 1166.4 
 
 36 
 
 260.96 
 
 229.9 
 
 937.1 
 
 1167.0 
 
 37 
 
 262.58 
 
 231.6 
 
 935.9 
 
 1167.5 
 
 38 
 
 264.17 
 
 233.2 
 
 934.8 
 
 1168.0 
 
 39 
 
 265.73 
 
 234.8 
 
 933.7 
 
 1168.5 
 
 40 
 
 267.26 
 
 236.4 
 
 932.6 
 
 1169.0 
 
 41 
 
 268.76 
 
 237.9 
 
 931.6 
 
 1169.5 
 
 42 
 
 270.23 
 
 239.4 
 
 930.6 
 
 1170.0 
 
 43 
 
 271.66 
 
 240.8 
 
 929.5 
 
 1170.3 
 
 44 
 
 273.07 
 
 242.3 
 
 928.5 
 
 1170.8 
 
 ♦Condensed from Peabody's Steam Tables. 1911 Edition. 
 
 335 
 
Absolute 
 pressure lbs. 
 per sq. In. 
 
 Tempera- 
 ture 
 deg. F. 
 
 Heat 
 of the 
 liquid 
 
 Heat of the 
 vaporiza- 
 tion 
 
 45 
 46 
 47 
 48 
 49 
 
 50 
 51 
 52 
 53 
 54 
 
 55 
 56 
 57 
 58 
 59 
 
 60 
 61 
 62 
 63 
 64 
 
 65 
 66 
 67 
 68 
 69 
 
 70 
 71 
 72 
 73 
 74 
 
 75 
 76 
 77 
 78 
 79 
 
 80 
 81 
 82 
 83 
 84 
 
 85 
 86 
 87 
 88 
 89 
 
 90 
 91 
 92 
 93 
 94 
 
 274.46 
 
 275.82 
 277.16 
 278.47 
 279.76 
 
 281.03 
 282.28 
 283.52 
 284.74 
 285.93 
 
 287.09 
 
 288.25 
 
 289.40 
 
 290.53 
 
 291.64 
 
 292.74 
 
 293.82 
 
 294.88 
 
 295.93 
 
 296.97 
 
 298.00 
 
 299.02 
 
 300.02 
 
 301.01 
 
 301,99 
 
 302.96 
 
 303.91 
 
 304.86 
 
 305.79 
 
 306.72 
 
 307.64 
 
 308.54 
 
 309.44 
 
 310.33 
 
 311.21 
 
 312.08 
 312.94 
 313.79 
 314.63 
 315.47 
 
 316.30 
 317.12 
 317.93 
 318.73 
 319.53 
 
 .320.32 
 321.10 
 .321.88 
 .322.65 
 323.41 
 
 Total 
 
 heat 
 
 nbove82° 
 
 243.7 
 245.1 
 246.4 
 247.8 
 249.1 
 
 250.4 
 251.7 
 253.0 
 254.2 
 255.4 
 
 256.6 
 257.8 
 259.0 
 260.1 
 261.3 
 
 262.4 
 263.5 
 264.6 
 265.7 
 . 266.7 
 
 267.8 
 268.8 
 269.8 
 270.9 
 271.9 
 
 272.9 
 273.8 
 274.8 
 275.8 
 276.7 
 
 277.7 
 278.6 
 279.5 
 280.4 
 281.3 
 
 282.2 
 283.1 
 283.9 
 284.8 
 285.7 
 
 286.5 
 287.4 
 288.2 
 289.0 
 289.9 
 
 290.7 
 291.5 
 292.3 
 293.1 
 293.9 
 
 927.5 
 926.6 
 925.6 
 924.7 
 923.8 
 
 922.8 
 921.9 
 921.0 
 920.1 
 919.3 
 
 918.4 
 917.6 
 916.7 
 915.9 
 915.1 
 
 914.3 
 913.5 
 912.7 
 911.9 
 911.1 
 
 910.4 
 909.6 
 908.9 
 908.1 
 907.4 
 
 906.6 
 905.9 
 905.2 
 904.5 
 903.8 
 
 903.1 
 902.4 
 901.8 
 901.1 
 900.4 
 
 899.8 
 899.1 
 898.5 
 897.8 
 897.2 
 
 1171.2 
 1171.7 
 1172.0 
 1172.5 
 1172.9 
 
 1173.2 
 1173.6 
 1174.0 
 1174.3 
 1174.7 
 
 1175.0 
 1175.4 
 1175.7 
 1176.0 
 1176.4 
 
 1176.7 
 1177. C 
 1177.3 
 1177.6 
 1177.8 
 
 1178.2 
 1178.4 
 1178.7 
 1179.0 
 1179.3 
 
 1179.5 
 1179.7 
 1180.0 
 1180.3 
 1180.5 
 
 1180.8 
 1181.0 
 1181.3 
 1181.5 
 1181.7 
 
 1182.0 
 1182.2 
 1182.4 
 1182 6 
 1182.9 
 
 896.6 
 
 1183.1 
 
 895.9 
 
 1183.3 
 
 895.3 
 
 1183.5 
 
 8<)4.7 
 
 1183.7 
 
 894.1 
 
 1184.0 
 
 893.5 
 
 1184.2 
 
 892.9 
 
 1184.4 
 
 892.3 
 
 1184.6 
 
 891.7 
 
 1184.8 
 
 891.1 
 
 1185.0 
 
 336 
 
Absolute 
 
 Tempera- 
 
 Heat 
 
 Heat of the 
 
 Total 
 
 press're lbs. 
 
 ture 
 
 of the 
 
 vaporiza- 
 
 heat 
 
 per sq. in. 
 
 deg. F. 
 
 liquid 
 
 tion 
 
 Above 32* 
 
 95 
 
 324.16 
 
 294.6 
 
 890.5 
 
 1185.1 
 
 96 
 
 324.91 
 
 295.4 
 
 889.9 
 
 1185.3 
 
 97 
 
 325.66 
 
 296.2 
 
 889.3 
 
 1185.5 
 
 98 
 
 326.40 
 
 296.9 
 
 888.7 
 
 1185,6 
 
 99 
 
 327.13 
 
 297,7 
 
 888,2 
 
 1185.9 
 
 100 
 
 327.86 
 
 298.5 
 
 887,6 
 
 1186.1 
 
 101 
 
 328.58 
 
 299,2 
 
 887.0 
 
 1186,2 
 
 102 
 
 329.30 
 
 299.9 
 
 886.5 
 
 1186.4 
 
 103 
 
 330.01 
 
 300.6 
 
 885.9 
 
 1186.5 
 
 101 
 
 330.72 
 
 301,4 
 
 885,3 
 
 1186,7 
 
 105 
 
 331.42 
 
 302.1 
 
 884.8 
 
 1186,9 
 
 106 
 
 332.11 
 
 302.8 
 
 884.3 
 
 1187.1 
 
 107 
 
 332.79 
 
 303.5 
 
 883.7 
 
 1187.2 
 
 108 
 
 333.48 
 
 304.2 
 
 883.2 
 
 1187.4 
 
 109 
 
 334.16 
 
 304,9 
 
 882.6 
 
 1187. 5 
 
 110 
 
 334.83 
 
 305,6 
 
 882.1 
 
 1187,7 
 
 111 
 
 335.50 
 
 306,3 
 
 881,6 
 
 1187,9 
 
 112 
 
 336.17 
 
 307.0 
 
 881,0 
 
 1188.0 
 
 113 
 
 336.83 
 
 307.7 
 
 880.5 
 
 1188.2 
 
 114 
 
 337.48 
 
 308,3 
 
 880.0 
 
 1188.3 
 
 115 
 
 338.14 
 
 309.0 
 
 879.5 
 
 1188.5 
 
 116 
 
 338.78 
 
 309.7 
 
 879,0 
 
 1188,7 
 
 117 
 
 339.42 
 
 310,3 
 
 878,5 
 
 1188,8 
 
 118 
 
 340.06 
 
 311.0 
 
 878.0 
 
 1189,0 
 
 119 
 
 340.69 
 
 311,7 
 
 877,4 
 
 1189.1 
 
 120 
 
 341.31 
 
 312.3 
 
 876,9 
 
 1189.2 
 
 121 
 
 341.94 
 
 312.9 
 
 876.4 
 
 1189,3 
 
 122 
 
 342.56 
 
 313.6 
 
 875.9 
 
 1189.5 
 
 123 
 
 343.18 
 
 314.2 
 
 875.4 
 
 1189.6 
 
 124 
 
 343.79 
 
 314,8 
 
 875.0 
 
 1189.8 
 
 125 
 
 344.39 
 
 315,5 
 
 874.5 
 
 1190,0 
 
 126 
 
 345.00 
 
 316.1 
 
 874,0 
 
 1190,1 
 
 127 
 
 345.60 
 
 316.7 
 
 873,5 
 
 1190.2 
 
 128 
 
 346.20 
 
 317.3 
 
 873.0 
 
 119C.3 
 
 129 
 
 346.79 
 
 317,9 
 
 872,6 
 
 1190,5 
 
 130 
 
 347.38 
 
 318.6 
 
 872.1 
 
 1190,7 
 
 131 
 
 347,96 
 
 319.2 
 
 871,6 
 
 1190,8 
 
 132 
 
 348.55 
 
 319.8 
 
 871,1 
 
 1190,9 
 
 133 
 
 349.13 
 
 320.4 
 
 870,7 
 
 1191,1 
 
 134 
 
 349.70 
 
 320.9 
 
 870.2 
 
 1191,1 
 
 135 
 
 350.27 
 
 321.5 
 
 869.8 
 
 1191.3 
 
 136 
 
 350.84 
 
 322,1 
 
 869.3 
 
 1191,4 
 
 137 
 
 351.41 
 
 822,7 
 
 868.8 
 
 1191.5 
 
 138 
 
 351,98 
 
 323,3 
 
 868,3 
 
 1191,6 
 
 139 
 
 352,54 
 
 323,9 
 
 867.9 
 
 1191,8 
 
 140 
 
 353.09 
 
 324.4 
 
 867.4 
 
 1191,8 
 
 141 
 
 353.65 
 
 325.0 
 
 867.0 
 
 1192,0 
 
 142 
 
 354.20 
 
 325,6 
 
 866.5 
 
 1192.1 
 
 143 
 
 354.75 
 
 326.2 
 
 866.1 
 
 1192.3 
 
 144 
 
 355.29 
 
 326.7 
 
 865.8 
 
 1192.3 
 
 337 
 
TABLE 5. 
 
 Naperian Logarithms. 
 
 e = 2.7182818 
 
 Log e = 0.4342945 = M. 
 
 1.0 
 
 0.0000 
 
 4.1 
 
 1.4110 
 
 7.2 1 
 
 1.9741 
 
 1.1 
 
 0.0953 
 
 4.2 
 
 1.4351 
 
 7.3 
 
 1.9879 
 
 1.2 
 
 0.1823 
 
 4.3 
 
 1.4586 
 
 7.4 
 
 2.0015 
 
 1.3 
 
 0.2624 
 
 4.4 
 
 1.4816 
 
 7.5 
 
 2.0149 
 
 1.4 
 
 0.3365 
 
 4.5 
 
 1.5041 
 
 7.6 
 
 2.0281 
 
 1.5 
 
 0.4055 
 
 4.6 
 
 1.5261 
 
 7.7 
 
 ^.0412 
 
 1.6 
 
 0.4700 
 
 4.7 
 
 1 .5476 
 
 7.8 
 
 2.0541 
 
 1.7 
 
 0.5306 
 
 4.8 
 
 1.5686 
 
 7.9 
 
 2.0669 
 
 1.8 
 
 0.5878 
 
 4.9 
 
 1.5S92 
 
 8.0 
 
 2.0794 
 
 1.9 
 
 0.6419 
 
 6.0 
 
 1.6094 
 
 8.1 
 
 2.0919 
 
 2.0 
 
 0.6931 
 
 6.1 
 
 1.6292 
 
 8.2 
 
 2.1041 
 
 2.1 
 
 0.7419 
 
 5.2 
 
 1.6487 
 
 8.3 
 
 2.1163 
 
 2.2 
 
 0.7885 
 
 5.3 
 
 1.6677 
 
 8.4 
 
 2.1282 
 
 2.3 
 
 0.8329 
 
 5.4 
 
 1.6864 
 
 8.5 
 
 2.1401 
 
 2.4 
 
 0.8755 
 
 5.5 
 
 1 .7047 
 
 8.6 
 
 2.1518 
 
 2.5 
 
 0.9163 
 
 5.6 
 
 1.7228 
 
 8.7 
 
 2.163.'* 
 
 1.6 
 
 0.9555 
 
 5.7 
 
 1.7405 
 
 8.8 
 
 2.1748 
 
 2.7 
 
 0.9933 
 
 5.8 
 
 1.7579 
 
 8.9 
 
 2.1861 
 
 2.8 
 
 1.0296 
 
 6.9 
 
 1.7750 
 
 9.0 
 
 2.1972 
 
 2.9 
 
 1.0647 
 
 6.0 
 
 1.7918 
 
 9.1 
 
 2.2083 
 
 3.0 
 
 1.0966 
 
 6.L 
 
 1.8083 
 
 9.2 
 
 2.2192 
 
 3.1 
 
 1.1312 
 
 6.2 
 
 1 .8245 
 
 9.3 
 
 2.2300 
 
 S.2 
 
 1.1632 
 
 6.3 
 
 1.8405 
 
 9.4 
 
 2.2407 
 
 8.3 
 
 1.1939 
 
 6.4 
 
 1.8563 
 
 9.5 
 
 2.2513 
 
 6.4 
 
 1.2238 
 
 6.5 
 
 1.8718 
 
 9.6 
 
 2.2618 
 
 8.5 
 
 1.2528 
 
 6.6 
 
 1.8871 
 
 9.7 
 
 2.2721 
 
 3.6 
 
 1.2809 
 
 6.7 
 
 1.9021 
 
 9.8 
 
 2.2824 
 
 3.7 
 
 1.3083 
 
 6.8 
 
 1.9169 
 
 9.9 
 
 2.2926 
 
 3.8 
 
 1.3350 
 
 6.9 
 
 1.9315 
 
 10.0 
 
 2.3026 
 
 3.9 
 
 1.3610 
 
 7.0 
 
 1.9459 
 
 
 
 4.0 
 
 1.3863 
 
 7.1 
 
 1.9601 
 
 
 
 TABLE 6. 
 Water Conversion Factors.* 
 
 
 U. S. gallons X 
 
 8.33 
 
 = pounds. 
 
 
 U. S. gallons X 
 
 0.13368 
 
 = cubic feet. 
 
 
 U. S. gallons X 231.00000 
 
 = cubic Inches. 
 
 
 U. S. gallons X 
 
 8.78 
 
 = liters. 
 
 
 Cubic Inches of water (89.1°) X 
 
 0.036024 
 
 = pounds. 
 
 
 Cubic inches of water (39.1°) X 
 
 0.004329 
 
 = U. S. gallons. 
 
 
 Cubic inches of water (»).1°} X 
 
 0.576:384 
 
 = ounces. 
 
 
 Cubic feet of water (39.1°) X 
 
 62.425 
 
 = pounds. 
 
 
 Cubic feet of water (39.1°) X 
 
 7.48 
 
 = U. S. gallons. 
 
 
 Cubic feet of water (39.1°) X 
 
 0.028 
 
 = tons. 
 
 
 Pounds of water X 
 
 27.72 
 
 = cubic inches. 
 
 
 Pounds of water X 
 
 0.01602 
 
 = cubic feet. 
 
 
 Pounds of water X 
 
 0.12 
 
 = U. S. gallons. 
 
 'American Machinist Hand Book. 
 
 338 
 
TABLE 7. 
 
 Volnme and Weisbt of Dry Air at Different Temperatnrea.* 
 
 Under a constant atmospheric pressure of 29.92 inches of 
 mercury, the volume at 32° F. being 1. ^ 
 
 Temp, 
 deg. F. 
 
 Volume 
 
 Weight 
 per cu. ft. 
 
 Temp, 
 deg. F. 
 
 Volume 
 
 Weight 
 per cu. ft. 
 
 
 
 .935 
 
 .0864 
 
 50O 
 
 1.954 
 
 .0413 
 
 12 
 
 .960 
 
 .0842 
 
 552 
 
 2.056 
 
 .0385 
 
 23 
 
 .980 
 
 .0824 
 
 60O 
 
 2.150 
 
 .0376 
 
 32 
 
 1.000 
 
 .0807 
 
 650 
 
 2.2S0 
 
 .0357 
 
 42 
 
 1.020 
 
 .0791 
 
 700 
 
 2.362 
 
 .0338 
 
 52 
 
 1.041 
 
 .077S 
 
 750 
 
 2.465 
 
 .0328 
 
 62 
 
 1.061 
 
 .0761 
 
 800 
 
 2.566 
 
 .0315 
 
 72 
 
 1.082 
 
 .0747 
 
 850 
 
 2.668 
 
 .0303 
 
 82 
 
 1.102 
 
 .0733 
 
 900 
 
 2.770 
 
 .0292 
 
 82 
 
 1.122 
 
 .0720 
 
 950 
 
 2.871 
 
 .0281 
 
 102 
 
 1.143 
 
 .0707 
 
 lOOO 
 
 2.974 
 
 .0268 
 
 112 
 
 1.163 
 
 .0694 
 
 llOO 
 
 3.177 
 
 .0254 
 
 122 
 
 1.184 
 
 .0682 
 
 1200 
 
 3.381 
 
 .0239 
 
 132 
 
 1.204 
 
 .0671 
 
 1300 
 
 3.584 
 
 .0225 
 
 142 
 
 1.224 
 
 .0659 
 
 1400 
 
 3.788 
 
 .0213 
 
 152 
 
 1.245 
 
 .0649 
 
 1500 
 
 3.993 
 
 .0202 
 
 162 
 
 1.265 
 
 .0638 
 
 1600 
 
 4.196 
 
 .0192 
 
 172 
 
 1.285 
 
 .0628 
 
 1700 
 
 4.402 
 
 .0183 
 
 182 
 
 1.306 
 
 .0618 
 
 1800 
 
 4.605 
 
 .0175 
 
 192 
 
 1.326 
 
 .0609 
 
 1900 
 
 4.808 
 
 .0168 
 
 202 
 
 1.347 
 
 .0600 
 
 2000 
 
 5.012 
 
 .0161 
 
 212 
 
 1.367 
 
 .0591 
 
 2100 
 
 5.217 
 
 .0155 
 
 2S0 
 
 1.404 
 
 .0575 
 
 220O 
 
 6.420 
 
 .0149 
 
 250 
 
 1.444 
 
 .0559 
 
 230O 
 
 5.625 
 
 .0142 
 
 275 
 
 1.495 
 
 .0540 
 
 2400 
 
 5.827 
 
 .0138 
 
 300 
 
 1.546 
 
 .0522 
 
 2500 
 
 6.032 
 
 .0133 
 
 325 
 
 1.597 
 
 .0506 
 
 2600 
 
 6.236 
 
 .0130 
 
 350 
 
 1.648 
 
 .0490 
 
 270O 
 
 6.440 
 
 .0125 
 
 875 
 
 1.689 
 
 .0477 
 
 2800 
 
 6.644 
 
 .0121 
 
 400 
 
 1.750 
 
 .0461 
 
 2900 
 
 6.847 
 
 .0118 
 
 450 
 
 1.852 
 
 .0436 
 
 3000 
 
 7.051 
 
 .0114 
 
 "Suplee's M. E. Reference Book. 
 
 239 
 
TABLE 8. 
 
 Welgrht of Pure Water per Cubic Foot at Varlons 
 Temperatures.* 
 
 Temp. 
 
 Weight 
 
 B. t. u. 
 
 Temp. 
 
 Weight 
 
 B. t. u. 
 
 deg. 
 
 lbs. per 
 
 per pound 
 
 deg. 
 
 lbs. per 
 
 per pound 
 
 P. 
 
 cu. ft. 
 
 above 32 
 
 P. 
 
 cu. ft. 
 
 above 32 
 
 32 
 
 62.42 
 
 0.00 
 
 77 
 
 62.26 
 
 45.04 
 
 33 
 
 62.42 
 
 1.01 
 
 78 
 
 62.25 
 
 46.04 
 
 34 
 
 62.42 
 
 2.02 
 
 79 
 
 62.24 
 
 47.04 
 
 35 
 
 62.42 
 
 3.02 
 
 80 
 
 62.23 
 
 48.03 
 
 36 
 
 62.42 
 
 4.03 
 
 81 
 
 62.22 
 
 49.03 
 
 37 
 
 62.42 
 
 5.04 
 
 82 
 
 62.21 
 
 50.03 
 
 38 
 
 62.42 
 
 6.04 
 
 83 
 
 62.20 
 
 51.02 
 
 39 
 
 62.42 
 
 7.05 
 
 84 
 
 62.19 
 
 52.02 
 
 40 
 
 62.42 
 
 8.05 
 
 85 
 
 62.18 
 
 53.02 
 
 41 
 
 62.42 
 
 9.05 
 
 86 
 
 62.17 
 
 54.01 
 
 42 
 
 62.42 
 
 10.06 
 
 87 
 
 62.16 
 
 55.01 
 
 43 
 
 62.42 
 
 11.06 
 
 88 
 
 62.15 
 
 56.01 
 
 44 
 
 62.42 
 
 12.06 
 
 89 
 
 62.14 
 
 57.00 
 
 45 
 
 62.42 
 
 13.07 
 
 90 
 
 62.13 
 
 58.00 
 
 46 
 
 62.42 
 
 14.07. 
 
 91 
 
 62.12 
 
 59.00 
 
 47 
 
 62.42 
 
 15.07 
 
 92 
 
 62.11 
 
 60.00 
 
 4S 
 
 62.41 
 
 16.07 
 
 93 
 
 62.10 
 
 60.99 
 
 49 
 
 62.41 
 
 17.08 
 
 94 
 
 62.09 
 
 61.99 
 
 60 
 
 62.41 
 
 18.08 
 
 95 
 
 62.08 
 
 62.99 
 
 51 
 
 62.41 
 
 19.08 
 
 96 
 
 62.07 
 
 63.98 
 
 62 
 
 62.40 
 
 20.08 
 
 97 
 
 62.06 
 
 64.98 
 
 53 
 
 62.40 
 
 21.08 
 
 98 
 
 62.05 
 
 65.98 
 
 54 
 
 62.40 
 
 22.08 
 
 99 
 
 62.03 
 
 66.97 
 
 55 
 
 62.39 
 
 23.08 
 
 100 
 
 62.02 
 
 67.97 
 
 56 
 
 62.39 
 
 24.08 
 
 101 
 
 62.01 
 
 68.97 
 
 57 
 
 62.39 
 
 25.08 
 
 102 
 
 62.00 
 
 69.96 
 
 58 
 
 62.38 
 
 26.08 
 
 103 
 
 61.99 
 
 70.96 
 
 59 
 
 62.38 
 
 27.06 
 
 104 
 
 61.97 
 
 71.96 
 
 60 
 
 62.37 
 
 28.08 
 
 105 
 
 61.96 
 
 72.95 
 
 61 
 
 62.37 
 
 29.08 
 
 106 
 
 61.95 
 
 73.95 
 
 62 
 
 62.36 
 
 30.08 
 
 107 
 
 61.93 
 
 74.95 
 
 63 
 
 62.36 
 
 31.07 
 
 108 
 
 61.92 
 
 75.95 
 
 64 
 
 62.35 
 
 32.07 
 
 109 
 
 61.91 
 
 76.94 
 
 65 
 
 62.34 
 
 33.07 
 
 110 
 
 61.89 
 
 77.94 
 
 66 
 
 62.34 
 
 34.07 
 
 111 
 
 61.88 
 
 78.94 
 
 67 
 
 62.33 
 
 35.07 
 
 112 
 
 61.86 
 
 79.93 
 
 68 
 
 62.33 
 
 36.07 
 
 113 
 
 61.85 
 
 80.93 
 
 69 
 
 62.32 
 
 37.06 
 
 114 
 
 61.83 
 
 81.93 
 
 70 
 
 62.31 
 
 38.06 
 
 115 
 
 61.82 
 
 82.92 
 
 71 
 
 62.31 
 
 39.06 
 
 116 
 
 61.80 
 
 83.92 
 
 72 
 
 62.30 
 
 40.05 
 
 117 
 
 61.78 
 
 84.92 
 
 73 
 
 62.29 
 
 41.05 
 
 118 
 
 61.77 
 
 85.92 
 
 74 
 
 62.28 
 
 42.05 
 
 119 
 
 61.75 
 
 86.91 
 
 75 
 
 62.28 
 
 43.05 
 
 120 
 
 61.74 
 
 87.91 
 
 76 
 
 62.27 
 
 44.04 
 
 121 
 
 61.72 
 
 88.91 
 
 •Kent's M. E. Pocket-Book. 8th Edition. 
 
 340 
 
Temp. 
 
 Weight 
 
 B. t. u. 
 
 Temp. 
 
 Weight 
 
 B. t. u. 
 
 deg. 
 
 lbs. per 
 
 per pound 
 
 deg. 
 
 lbs. per 
 
 per pound 
 
 P. 
 
 cu. ft. 
 
 above 32 
 
 F. 
 
 cu. ft. 
 
 above 32 
 
 122 
 
 61.70 
 
 89.91 
 
 167 
 
 60.83 
 
 134.86 
 
 123 
 
 61.68 
 
 90.90 
 
 168 
 
 60.81 
 
 135.86 
 
 124 
 
 61.67 
 
 91.90 
 
 169 
 
 60.79 
 
 136.86 
 
 125 
 
 61.65 
 
 92.90 
 
 170 
 
 60.77 
 
 137.87 
 
 126 
 
 61.63 
 
 93.90 
 
 171 
 
 60.75 
 
 138.87 
 
 127 
 
 61.61 
 
 94.89 
 
 172 
 
 60.73 
 
 139.87 
 
 128 
 
 61.60 
 
 95.89 
 
 173 
 
 60.70 
 
 140.87 
 
 129 
 
 61.58 
 
 96.89 
 
 174 
 
 60.68 
 
 141.87 
 
 130 
 
 61.56 
 
 97.89 
 
 175 
 
 60.66 
 
 142.87 
 
 131 
 
 61.54 
 
 98.89 
 
 176 
 
 60.64 
 
 143.87 
 
 132 
 
 61.52 
 
 99.88 
 
 177 
 
 60.62 
 
 144.88 
 
 133 
 
 61.51 
 
 100.88 
 
 178 
 
 60.59 
 
 145.88 
 
 134 
 
 61.49 
 
 101.88 
 
 179 
 
 60.57 
 
 146.88 
 
 135 
 
 61.47 
 
 102.88 
 
 180 
 
 60.55 
 
 147.88 
 
 136 
 
 61.45 
 
 103.88 
 
 181 
 
 60.53 
 
 148.88 
 
 137 
 
 61.43 
 
 104.87 
 
 182 
 
 60.50 
 
 149.89 
 
 138 
 
 61.41 
 
 105.87 
 
 183 
 
 60.48 
 
 150.89 
 
 139 
 
 61.39 
 
 106.87 
 
 184 
 
 60.46 
 
 151.89 
 
 140 
 
 61.37 
 
 107.87 
 
 185 
 
 60.44 
 
 152.89 
 
 141 
 
 61.36 
 
 108.87 
 
 186 
 
 60.41 
 
 153.89 
 
 142 
 
 61.34 
 
 109.87 
 
 187 
 
 60.39 
 
 154.90 
 
 143 
 
 61.32 
 
 110.87 
 
 188 
 
 60.37 
 
 155.90 
 
 144 
 
 61.30 
 
 111.87 
 
 189 
 
 60.34 
 
 156.90 
 
 145 
 
 61.28 
 
 112.86 
 
 190 
 
 60.32 
 
 157.91 
 
 146 
 
 61.26 
 
 113.86 
 
 191 
 
 60.29 
 
 158.91 
 
 147 
 
 61.24 
 
 114.86 
 
 192 
 
 60.27 
 
 159.91 
 
 148 
 
 61.22 
 
 115.86 
 
 193 
 
 60.25 
 
 160.91 
 
 149 
 
 61.20 
 
 116.86 
 
 194 
 
 60.22 
 
 161.92 
 
 150 
 
 61.18 
 
 117.86 
 
 195 
 
 60.20 
 
 162.92 
 
 151 
 
 61.16 
 
 118.86 
 
 196 
 
 60.17 
 
 163.92 
 
 152 
 
 61.14 
 
 119.86 
 
 197 
 
 60.15 
 
 164.93 
 
 153 
 
 61.12 
 
 120.86 
 
 198 
 
 60.12 
 
 165.93 
 
 154 
 
 61.10 
 
 121.86 
 
 199 
 
 60.10 
 
 166.94 
 
 155 
 
 61.08 
 
 122.86 
 
 200 
 
 60.07 
 
 167.94 
 
 156 
 
 61.06 
 
 . 123.86 
 
 201 
 
 60.05 
 
 168.94 
 
 157 
 
 61,04 
 
 124.86 
 
 202 
 
 60.02 
 
 169.95 
 
 158 
 
 61.02 
 
 125.86 
 
 203 
 
 60.00 
 
 170.95 
 
 159 
 
 61.00 
 
 126.86 
 
 204 
 
 59.97 
 
 171.96 
 
 160 
 
 60.98 
 
 127.86 
 
 205 
 
 59.95 
 
 172.96 
 
 161 
 
 60.96 
 
 128.86 
 
 206 
 
 59.92 
 
 173.97 
 
 162 
 
 60.94 
 
 129.86 
 
 207 
 
 59.89 
 
 174.97 
 
 163 
 
 60.92 
 
 130.86 
 
 208 
 
 59.87 
 
 175.98 
 
 164 
 
 60.90 
 
 131.86 
 
 209 
 
 59.84 
 
 176.98 
 
 165 
 
 60.87 
 
 132.86 
 
 210 
 
 59.82 
 
 177.99 
 
 166 
 
 60.85 
 
 133.86 
 
 211 
 
 59.79 
 
 178.99 
 
 
 
 
 212 
 
 59.76 
 
 180. 
 
 341 
 
TABLE 9. 
 Boillni? Point of Water at DlfTerent Helgrhtn of Vacuum. 
 
 
 Heipht of 
 
 
 Height of 
 
 Temp. 
 
 mercury m 
 
 Temp. 
 
 mercury in 
 
 F. 
 
 vacuum tube 
 
 F. 
 
 vacuum tube 
 
 
 in inches 
 
 
 in inches 
 
 212.0 
 
 0.00 
 
 175.8 
 
 16.00 
 
 210.3 
 
 1.00 
 
 172.6 
 
 17.00 
 
 208.5 
 
 2.00 
 
 169.0 
 
 18.00 
 
 206.8 
 
 3.00 
 
 165.3 
 
 19.00 
 
 204.8 
 
 4.00 
 
 161.2 
 
 20.00 
 
 202.9 
 
 5.00 
 
 156.7 
 
 21.00 
 
 200.9 
 
 6,00 
 
 151.9 
 
 22.00 
 
 199.0 
 
 7.00 
 
 146.5 
 
 23.00 
 
 196.7 
 
 8.00 
 
 140.3 
 
 24.00 
 
 194.5 
 
 9.00 
 
 133.3 
 
 25.00 
 
 192.2 
 
 10.00 
 
 124.9 
 
 26.00 
 
 189.7 
 
 11.00 
 
 114.4 
 
 27.00 
 
 187.3 
 
 12.00 
 
 108.4 
 
 28.00 
 
 184.6 
 
 13.00 
 
 102.0 
 
 29.00 
 
 181.3 
 
 14.00 
 
 98.0 
 
 29.92 
 
 178.9 
 
 15.00 
 
 
 
 TABLE 10. 
 
 Welgrht of Water with Air per Cubic Foot at Different 
 
 Temperatures and at Saturation. 
 
 ^ 
 
 
 |5h 
 
 
 Ph 
 
 
 1^' 
 
 
 ^ 
 
 
 f^ 
 
 
 6. 
 
 a 
 
 
 a 
 
 Eh 
 
 4^ 
 
 be .9 
 'S ca 
 
 ^ So 
 
 d 
 
 a 
 
 
 d 
 
 a 
 
 4J 
 
 j3 to 
 
 tuD.a 
 ^ Si 
 
 d 
 
 a 
 
 O) 
 
 Eh 
 
 4J 
 
 be .9 
 
 'S 03 
 
 d 
 
 a 
 
 Eh 
 
 4J 
 
 .5? .9 
 
 u S3 
 
 ^ Si 
 
 —20 
 
 0.i66 
 
 2 
 
 0.529 
 
 24 
 
 1.483 
 
 46 
 
 3.539 
 
 68 
 
 7.480 
 
 90 
 
 14.790 
 
 —19 
 
 0.174 
 
 3 
 
 0.554 
 
 25 
 
 1.551 
 
 47 
 
 3.667 
 
 69 
 
 7.726 
 
 91 
 
 15.234 
 
 —18 
 
 0.184 
 
 4 
 
 0.582 
 
 26 
 
 1.623 
 
 48 
 
 3.800 
 
 70 
 
 7.980 
 
 92 
 
 15.689 
 
 —17 
 
 0.196 
 
 5 
 
 0.610 
 
 27 
 
 1.697 
 
 49 
 
 3.936 
 
 71 
 
 8.240 
 
 93 
 
 16.155 
 
 —16 
 
 0.207 
 
 6 
 
 0.639 
 
 28 
 
 1.773 
 
 50 
 
 4.076 
 
 72 
 
 8.508 
 
 94 
 
 16.634 
 
 —15 
 
 0.218 
 
 7 
 
 0.671 
 
 29 
 
 1.853 
 
 51 
 
 4.222 
 
 73 
 
 8.782 
 
 95 
 
 17.124 
 
 —14 
 
 0.231 
 
 8 
 
 0.704 
 
 30 
 
 1.935 
 
 52 
 
 4.372 
 
 74 
 
 9.066 
 
 96 
 
 17.626 
 
 —13 
 
 0.243 
 
 9 
 
 0.7.39 
 
 31 
 
 2.022 
 
 53 
 
 4.526 
 
 75 
 
 9.356 
 
 97 
 
 18.142 
 
 —12 
 
 0.257 
 
 10 
 
 0.776 
 
 32 
 
 2.113 
 
 54 
 
 4.685 
 
 76 
 
 9.655 
 
 98 
 
 18.671 
 
 —11 
 
 0.270 
 
 11 
 
 0.816 
 
 33 
 
 2.194 
 
 55 
 
 4.849 
 
 77 
 
 9.962 
 
 99 
 
 19.212 
 
 -10 
 
 0.285 
 
 12 
 
 0.856 
 
 34 
 
 2.279 
 
 56 
 
 5.016 
 
 78 
 
 10.277 
 
 100 
 
 19.766 
 
 — 9 
 
 0.300 
 
 13 
 
 0.898 
 
 35 
 
 2.366 
 
 57 
 
 5.191 
 
 79 
 
 10.601 
 
 101 
 
 2().3;15 
 
 — 8 
 
 0.316 
 
 14 
 
 0.941 
 
 36 
 
 2.457 
 
 58 
 
 5.370 
 
 80 
 
 10.934 
 
 102 
 
 21.017 
 
 — 7 
 
 0.332 
 
 15 
 
 0.986 
 
 37 
 
 2.550 
 
 59 
 
 5.5.')5 
 
 81 
 
 11.275 
 
 103 
 
 21.514 
 
 — 6 
 
 0.350 
 
 16 
 
 1.032 
 
 38 
 
 2.646 
 
 60 
 
 5.745 
 
 82 
 
 11.626 
 
 104 
 
 22.125 
 
 — 5 
 
 0.370 
 
 17 
 
 1.080 
 
 39 
 
 2.746 
 
 61 
 
 5.941 
 
 83 
 
 11.987 
 
 105 
 
 22.750 
 
 — 4 
 
 0.389 
 
 18 
 
 1.128 
 
 40 
 
 2.849 
 
 62 
 
 6.142 
 
 84 
 
 12.356 
 
 106 
 
 23.3i)2 
 
 — 3 
 
 0.411 
 
 19 
 
 1.181 
 
 41 
 
 2.955 
 
 63 
 
 6.349 
 
 85 
 
 12.736 
 
 107 
 
 24.048 
 
 — 2 
 
 0.434 
 
 20 
 
 1.235 
 
 42 
 
 3.064 
 
 64 
 
 6.563 
 
 86 
 
 13.127 
 
 108 
 
 24.720 
 
 — 1 
 
 0.457 
 
 21 
 
 1.294 
 
 43 
 
 3.177 
 
 65 
 
 6.782 
 
 87 
 
 13.526 
 
 109 
 
 25.408 
 
 
 
 0.481 
 
 22 
 
 1.355 
 
 44 
 
 3.294 
 
 66 
 
 7.009 
 
 88 
 
 13.937 
 
 110 
 
 26.112 
 
 1 
 
 0.505 
 
 23 
 
 1.418 
 
 45 
 
 3.414 
 
 67 
 
 7.241 
 
 89 
 
 14.369 
 
 
 
 31: 
 
sain^Bjaduia^ Jjv 
 
 ilO^OCOl^t^OOOOOiOSi 
 
 s ^ 
 
 -c 
 
 s I 
 
 i-l T-H r-l (M (M <N C<l (>] 
 
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 ( in Oi (M ■>* 1^ Oi r^ ■ 
 
 ) I— I T— I (M O-l c; 03 CO 
 
 • r-^ <^J \.M^ i^ U'J t^^ X"* 
 
 4 e<l (M (M CO CO CO CO 
 
 iooinOcot-0(M-^coooo 
 -^ -ngMtMe-jcococoeoco-^ 
 
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 i-(T-H(M(M(MCoeocoeoM<-^- 
 
 COOtDOlOOilMlOOOOCN-^lOt^OOOi 
 — li-H03<NC<lCOCOCO-^-!><-^M<T)<-»!H-»!t< 
 
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 i-lOCO'*<Oi-<*<00'-l-*l>Oii-HCO-*COJ:^QO 
 
 i-Hi— t(M(McocoTtiTti-rti-«^iOLOLOLnioin 
 
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 rH iMOjcoeo-^-^-^-^mtomio ' 
 
 l>CD-*iOLnO-*l:^Ocoint^ooOi 
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 rH(MCOCO-tl^lOtOlOCOCOCDCDCDCD 
 
 Si 
 
 ir- Oi O 00 -* O 
 
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 343 
 
TABLE 12. 
 
 Properties of Air ^vlth MolHture under Pressure of One 
 Atmosphere.* 
 
 
 Oi O 
 
 "S 
 
 J: 
 
 Mixtures of air sa 
 with vapor 
 
 turated 
 
 S2 
 
 •a 
 
 
 4^ 
 +J 1-1 
 
 c 
 a bo 
 
 
 •" OS 
 
 c to 
 
 
 
 
 
 a 
 
 
 «at-- 
 
 Weight of cubic 
 
 ^ 
 
 
 ^ 
 
 "S 
 
 oj o o 
 
 foot of the 
 
 rs 
 
 c 
 
 ■M 
 
 
 u 
 
 a 
 
 rzXi 
 
 ^i 
 
 
 mixture. 
 
 O 
 
 03 
 
 
 •53 
 
 £ 
 
 (V 
 
 
 
 ■<-> 
 
 x: 
 
 OS 
 
 D 
 ■♦J 
 
 OS 
 
 t-i 
 <u 
 
 a 
 
 
 -t-> 0) 
 
 o o 
 
 (H U 
 
 O 0) 
 W O 
 
 *-' j;^ 05 
 
 4-1 H 
 
 P. 
 
 ■M O 
 
 o a 
 ■•J *^ 
 
 x: u 
 
 s: — 
 
 is OJ 
 i-i 
 
 83 4-1 
 
 u 
 
 0) 
 
 ■*-» 
 
 a 
 
 «M 
 
 o 
 o 
 
 "3 O 
 C 
 
 C > 
 
 .2^ 
 
 <!£ 
 
 to 
 
 
 ^ 
 ^t^ 
 
 03 
 
 cs a 
 
 ^5 
 
 •S a 
 
 0-3 
 
 Kc3 
 
 
 — 3 
 S O X 
 OCes 
 
 5§ 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 « 
 
 10 
 
 11 12 
 
 
 
 .935 
 
 .0864 
 
 0.044 
 
 29.877 
 
 .0863 
 
 .000079 
 
 .086379 
 
 .00092 
 
 1092.40 
 
 
 48.5 
 
 12 
 
 .960 
 
 .0842 
 
 0.074 
 
 29.849 
 
 .084(1 
 
 .00013(1 
 
 .084130 
 
 .00115 
 
 646.10 
 
 
 50.1 
 
 22 
 
 .980 
 
 .0824 
 
 0.118 
 
 29.803 
 
 .0821 
 
 .000202 
 
 .082302 
 
 .00245 
 
 406.40 
 
 
 51.1 
 
 32 
 
 1.000 
 
 .0807 
 
 0.181 
 
 29.740 
 
 .0802 
 
 .000304 
 
 .080504 
 
 .00379 
 
 263.81 
 
 3289' 
 
 52.0 
 
 42 
 
 1.020 
 
 .0791 
 
 .0267 
 
 29.654 
 
 .0784 
 
 .000440 
 
 .078840 
 
 .00561 
 
 178.18 
 
 2252.0 
 
 53.2 
 
 52 
 
 1.041 
 
 .0766 
 
 0.388 
 
 29.533 
 
 .0766 
 
 .000627 
 
 .077227 
 
 .00819 
 
 122.17 
 
 1595.0 
 
 54.0 
 
 60 
 
 1.057 
 
 .0764 
 
 0.522 
 
 29.399 
 
 .0751 
 
 .(XX)830 
 
 .075252 
 
 .01251 
 
 92.27 
 
 1227.0 
 
 55.0 
 
 62 
 
 1.061 
 
 .0761 
 
 0.556 
 
 29.365 
 
 .0747 
 
 .000881 
 
 .075581 
 
 .01179 
 
 84.79 
 
 1135.0 
 
 55.2 
 
 70 
 
 1.078 
 
 .0750 
 
 0.754 
 
 29.182 
 
 .0731 
 
 .001153 
 
 .073509 
 
 .01780 
 
 64.59 
 
 882.0 
 
 56.2 
 
 72 
 
 1.082 
 
 .0747 
 
 0.785 
 
 29.136 
 
 .0727 
 
 .001221 
 
 .073921 
 
 .01680 
 
 59.54 
 
 819.0 
 
 56.3 
 
 82 
 
 1.102 
 
 .0733 
 
 1.092 
 
 28.829 
 
 .0706 
 
 .001667 
 
 .072267 
 
 .02361 
 
 42.35 
 
 600.0 
 
 57.2 
 
 92 
 
 1.122 
 
 .0720 
 
 1.501 
 
 28.420 
 
 .0684 
 
 .002250 
 
 .070717 
 
 .03289 
 
 30.40 
 
 444.0 
 
 58.4 
 
 100 
 
 1.139 
 
 .0710 
 
 1.929 
 
 27.992 
 
 .0664 
 
 .002848 
 
 .069261 
 
 .04495 
 
 23.66 
 
 356.0 
 
 59.1 
 
 102 
 
 1.143 
 
 .0707 
 
 2.036 
 
 27.885 
 
 .0639 
 
 .002997 
 
 .068897 
 
 .04547 
 
 21.98 
 
 334.0 
 
 59.5 
 
 112 
 
 1.163 
 
 .0694 
 
 2.731 
 
 27.190 
 
 .0631 
 
 .003946 
 
 .067042 
 
 .06253 
 
 15.99 
 
 253.0 
 
 60.6 
 
 122 
 
 1.184 
 
 .0682 
 
 3.621 
 
 26.300 
 
 .0599 
 
 .005142 
 
 .065046 
 
 .08584 
 
 11.65 
 
 194.0 
 
 61.7 
 
 132 
 
 1.204 
 
 .0671 
 
 4.752 
 
 25.169 
 
 .0564 
 
 .006639 
 
 .063039 
 
 .11771 
 
 8.49 
 
 151.0 
 
 62.5 
 
 142 
 
 1.224 
 
 .0660 
 
 6.165 
 
 23.756 
 
 .0524 
 
 .008473 
 
 .060873 
 
 .16170 
 
 6.18 
 
 118.0 
 
 63.7 
 
 152 
 
 1.245 
 
 .0649 
 
 7.930 
 
 21.991 
 
 .0477 
 
 .010716 
 
 .058416 
 
 .22465 
 
 4.45 
 
 93.3 
 
 64.7 
 
 162 
 
 1.265 
 
 .0638 
 
 10,099 
 
 19.822 
 
 .0423 
 
 .013415 
 
 .055715 
 
 .31713 
 
 3.15 
 
 74.5 
 
 65.8 
 
 172 
 
 1.285 
 
 .0628 
 
 12.758 
 
 17.163 
 
 .0360 
 
 .016682 
 
 .052682 
 
 .46338 
 
 2.16 
 
 59.2 
 
 66.9 
 
 182 
 
 1.306 
 
 .0618 
 
 15.960 
 
 13.961 
 
 .0288 
 
 .020536 
 
 .049336 
 
 .71300 
 
 1.402 
 
 48.6 
 
 68.0 
 
 192 
 
 1.326 
 
 .0609 
 
 19.828 
 
 10.093 
 
 .0205 
 
 .025142 
 
 .045642 
 
 1.22643 
 
 .815 
 
 39.8 
 
 69.0 
 
 202 
 
 1.347 
 
 .0600 
 
 24.450 
 
 5.471 
 
 .0109 
 
 .030545 
 
 .041445 
 
 2.80230 
 In- 
 finite 
 
 .357 
 
 32.7 
 
 70.0 
 
 212 
 
 1.367 
 
 .0591 
 
 29.921 
 
 0.000 
 
 .0000 
 
 .036820 
 
 .036820 
 
 .000 
 
 27.1 
 
 71.1 
 
 'Carpenter's H. & V. B. and Sturtevant's Mech. Draft. 
 
 344 
 
TABLE IS 
 De^v-Polnts of Air According to Its Hygrometrlc State.* 
 
 
 
 
 
 
 Relative 
 
 moisture 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 90% 
 
 80% 
 
 70% 
 
 60% 
 
 50% 
 
 c. 
 
 F. 
 
 0. 
 
 F. 
 
 C. 
 
 F. 
 
 C. 
 
 F. 
 
 C. 
 
 F. 
 
 0. 
 
 F. 
 
 
 
 32.0 
 
 — 1.5 
 
 29.3 
 
 — 3.0 
 
 26.6 
 
 — 4.9 
 
 23.2 
 
 — 6.5 
 
 20.3 
 
 — 9.2 
 
 15.4 
 
 2 
 
 35.6 
 
 0.9 
 
 33.6 
 
 — 0.9 
 
 30.4 
 
 — 2.5 
 
 27.5 
 
 — 4.8 
 
 23.4 
 
 — 7.1 
 
 19.2 
 
 4 
 
 39.2 
 
 2.4 
 
 36.3 
 
 0.9 
 
 33.6 
 
 — 0.9 
 
 30.4 
 
 — 2.9 
 
 26.8 
 
 — 5.3 
 
 22.5 
 
 6 
 
 42.8 
 
 4.5 
 
 40.1 
 
 2.9 
 
 37.2 
 
 0.9 
 
 33.6 
 
 -1.3 
 
 29.7 
 
 — 3.7 
 
 25.3 
 
 8 
 
 46.4 
 
 6.4 
 
 43.5 
 
 4.5 
 
 40.1 
 
 2.7 
 
 36.9 
 
 0.6 
 
 33.1 
 
 — 1.9 
 
 28.6 
 
 10 
 
 50.0 
 
 8.5 
 
 47.3 
 
 6.8 
 
 44.2 
 
 4.5 
 
 40.1 
 
 2.5 
 
 36.5 
 
 0.0 
 
 32.0 
 
 12 
 
 53.6 
 
 10.5 
 
 50.9 
 
 8.5 
 
 47.3 
 
 6.8 
 
 44.2 
 
 4.3 
 
 39.7 
 
 2.0 
 
 35.6 
 
 14 
 
 57.2 
 
 12.3 
 
 54.1 
 
 10.5 
 
 50.9 
 
 8.5 
 
 47.3 
 
 6.2 
 
 43.2 
 
 3.7 
 
 38.7 
 
 16 
 
 60.8 
 
 14.4 
 
 57.9 
 
 12.6 
 
 54.7 
 
 10.5 
 
 50.9 
 
 8.3 
 
 46.9 
 
 5.6 
 
 42.1 
 
 18 
 
 64.4 
 
 16.5 
 
 61.7 
 
 14.6 
 
 58.3 
 
 12.4 
 
 54.3 
 
 10.0 
 
 50.0 
 
 7.4 
 
 45.3 
 
 20 
 
 68.0 
 
 18.3 
 
 64.9 
 
 16.5 
 
 61.7 
 
 14.4 
 
 57.9 
 
 11.9 
 
 53.4 
 
 9.2 
 
 48.6 
 
 22 
 
 71.6 
 
 20.3 
 
 68.5 
 
 18.4 
 
 65.1 
 
 16.3 
 
 61.3 
 
 13.7 
 
 56.7 
 
 11.6 
 
 52.8 
 
 24 
 
 75.2 
 
 22.2 
 
 72.1 
 
 20.5 
 
 68.9 
 
 18.4 
 
 65.1 
 
 15.6 
 
 60.0 
 
 13.0 
 
 55.4 
 
 26 
 
 78.8 
 
 24.4 
 
 75.9 
 
 22.2 
 
 72.1 
 
 20.1 
 
 68.2 
 
 17.6 
 
 63.6 
 
 14.7 
 
 58.5 
 
 28 
 
 82.4 
 
 26.3 
 
 79.3 
 
 24.2 
 
 75.6 
 
 22.0 
 
 71.6 
 
 19.5 
 
 67.1 
 
 17.5 
 
 63.5 
 
 30 
 
 86.0 
 
 28.3 
 
 82.9 
 
 26.3 
 
 79.3 
 
 23.9 
 
 75.0 
 
 21.5 
 
 70.7 
 
 18.3 
 
 64.9 
 
 ♦Bulletin 21, Int. Ass'n of Eefrig. 
 
 Psychrometric Charts Recent Tests. 
 
 In recent years a highly technical study of humidity 
 and its control has been made by Mr. Willis H. Carrier. Fig. 
 A shows, merely for the sake of comparison, how closely his 
 
 results checked the earlier 
 values obtained by the Gov- 
 ernment Weather Bureau. The 
 following charts. Figs. B and 
 C, summarize the results of 
 Mr. Carrier's experiments. 
 Fig. C is a part of Fig. B 
 drawn to a larger scale. 
 
 eo 
 
 700 
 
 eoS 
 
 c 
 50 
 
 30| 
 20 
 
 "^, 
 
 
 
 
 
 
 
 
 ^^ 
 
 
 
 
 . 
 
 
 
 
 ^^ 
 
 L 
 
 
 
 
 
 
 
 ^^ 
 
 
 
 
 
 
 
 
 
 55;^ 
 
 
 
 
 
 
 
 ""■ 
 
 =::^ 
 
 n a 
 
 s y 
 
 7 
 
 »=. ., =8 
 
 e 
 
 S 3 
 
 a 
 
 ORv Bulb 
 
 Fig. A. 
 
 As one illustration of the use of the chart, refer to Fig 
 C with air at 40 degrees and 40 per cent, humidity. If this 
 air be heated to 100 degrees without addition of moisture 
 it will be seen by interpolation that the humidity dTaps 
 to about 8 per cent. If the same be heated to 100 degrees 
 and enough moisture be added to keep the relative humid- 
 ity at 40 per cent., then the absolute humidity changes from 
 15 grains to 120 grains per pound of air. These figures 
 may be reduced to grains per cubic foot by dividing by the 
 volume per pound as given in the second column and will 
 be found to check closely with those given by Fig. 7 and 
 Table 9. Almost any 0(ther points relating to changes in 
 volume, humidity and contained heat may be easily worked 
 out by these curves. 045 
 
348 
 
 i 
 
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 3 
 
 
 ^ 
 
 
 ^ 
 
 
 r^ 
 
 
 s^ 
 
 
 s? 
 
 
 , .S 
 
 
 , J!? 
 
 
 R 
 
 ^ 
 
 
 
 
 
 Q 
 
 
 
 
 
 \^ 
 
 
 
 A 
 
 
 
 1 , 
 
 
 i/ 
 
 // 
 
 / 
 
 // 
 
 / 
 
 
 
 
 
 
 
 Ty 
 
 I//'/ 
 
 7^ 
 
 ^ 
 
 
 
 
 y^ 
 
 
 / 
 
 
 
 
 
 
 / 
 
 7 
 
 )( 
 
 // 
 
 
 
 
 
 
 i\l 
 
 
 //// 
 
 / 
 
 
 
 
 
 
 
 V 
 
 
 
 
 
 IN^^ 
 
 / 
 
 // 
 
 
 
 
 
 
 
 
 
 / , 
 
 /^ 
 
 56 
 
 
 
 / 
 
 
 
 / 
 
 
 
 
 
 
 .a/ 
 
 l// 
 
 
 
 
 
 
 
 
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 ^. 
 
 5 
 
 
 
 'k^ 
 
 
 /S/. 
 
 
 
 
 
 
 
 
 '/ 
 
 
 
 
 
 
 
 
 ' 1 
 
 /^ 
 
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 y 
 
 
 
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 VA 
 
 
 
 /^ 
 
 
 
 
 
 
 
 
 
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 ^ 
 
 
 
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 ^ 
 
 
 
 
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 If 
 
 /^ 
 
 
 ■^ 
 
 
 
 l^ 
 
 
 
 
 ryr'/ A 
 
 A 1 l\L > 
 
 
 1 1 
 
 
 
 
 
 
 'I 
 
 / 
 
 
 ■-N 
 
 
 
 ^ 
 
 
 1 
 
 
 
 
 
 K/l 
 
 hJn 
 
 
 
 
 
 
 
 //y/i/ 
 
 /" 
 
 
 
 
 "N 
 
 
 
 "k 
 
 
 
 
 
 ^H 
 
 ■P 
 
 (7 
 
 /M 
 
 7 
 
 
 
 
 
 
 
 Wi 
 
 / 
 
 
 
 
 
 > 
 
 ft*, 
 
 \ 
 
 ^' 
 
 
 
 
 
 ^m 
 
 W/V 
 
 
 
 
 
 
 
 m, 
 
 H 
 
 
 
 
 
 
 ^-^ 
 
 \ 
 
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 NY 
 
 N 
 
 Urn 
 
 
 
 
 
 
 
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 mm 
 
 
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 ^ 
 
 ;^\ 
 
 y s 
 
 
 TmNmn 
 
 ILJjMJ 
 
 ■ 
 
 
 
 
 
 
 
 
 
 
 
 
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 k 
 
 ■^ 
 
 
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 yjmm 
 
 
 
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 N, 
 
 \ 1 
 
 V 
 
 
 
 
 mm 
 
 
 
 rt 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 s^ 
 
 
 \\ 
 
 
 
 
 // 
 
 rIv\Nri 
 
 
 
 'ij 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 
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 I •4 
 
 
 
 ^ 
 
 
 
 
 1 <s 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 ^ 
 
 
 W( 
 
 ?W&/y/ 
 
 
 /. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^\ 
 
 
 
 
 ^ 
 
 HNJItl) 
 
 m 
 
 m'h 
 
 - 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 
 n 
 
 ?N 
 
 
 
 
 WM 
 
 'r 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ■3 
 
 \ 
 
 '■ 
 
 ■\ M 
 
 \ 
 
 
 "^ 
 
 WM 
 
 'f 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 A 
 
 
 
 
 #^ 
 
 L 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 
 "1 
 
 \ 
 
 \ 
 
 
 ^Wm\ 
 
 " 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 ^ 
 
 u 
 
 \ 
 
 
 
 W 
 
 
 / 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 ^\ 
 
 
 \ 
 
 
 ^y\ 
 
 
 ;9 
 1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 s^ 
 
 
 "4 
 
 I 
 
 \ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 A 
 
 \ 
 
 \ 
 
 
 
 
 
 
 
 
 
 
 kj< 
 
 ojxti 
 
 /"= 
 
 «pi* 
 
 U,=J^ 
 
 KOlX 
 
 jeoiB 
 
 
 
 
 
 S 
 
 
 • 
 
 ^\\ 
 
 
 \ 
 
 
 
 
 1 
 
 
 p>itt( 
 
 
 W 
 
 jn/a 
 
 M' 
 
 ^ 
 -*>^ 
 
 ?/" 
 
 f^ 
 
 4UOD 
 
 BpJi 
 
 VOM 
 
 r*^ 
 
 P/» 
 
 w7 
 
 ,1 
 
 I *^ 
 
 
 4\ 
 
 
 \ 
 
 
 
 
 
 
 & 
 
 XflJC 
 
 VWI4 
 
 tmpOi 
 
 
 tax, 
 
 » sa 
 
 iopi 
 
 jitX 
 
 P9I 
 
 S5 
 
 U 
 
 1^ 
 
 fl/fi 
 
 w^ 
 
 . 
 
 
 
 c\ 
 
 
 
 \ 
 
 
 
 
 1 
 
 
 «2 
 
 
 o 
 
 
 5 
 
 VI ■» 
 
 a^ 
 
 T 
 
 ,1 
 
 
 :« 
 
 
 s 
 
 
 5^ 
 
 d 
 
 •= 
 
 ? 
 
 
 
 
 ^ 
 
 
 
 § 
 
 
 ^ 
 
 
 <e 
 
 M 
 
 ^ 
 
 »■* 
 
 vij 
 
 aOBt, 
 
 J 
 
 "9 
 
 1 
 
 
 s 
 
 
 
 
 s 
 
 
 
 
 
 ^ 
 
 
 ^ 
 
 ■.Sj 
 
 
 Fl 
 
 
 .^. 
 
 
 B 
 
 
 ^ 
 
 
 « 
 
 
 § 
 
 
 '^ 
 
 
 ^ 
 
 
 s 
 
 
 
 
 ^ 
 
 
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 H 
 
 o 
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 w 
 
 ^ "y 
 
 bo 
 
 347 
 
TABLE 14. 
 Fnel Value of American Coals.* 
 
 Coal 
 Name or locality 
 
 ARKANSAS. 
 
 Spadra, Johnson Co 
 
 Coal Hill, Johnson Co 
 
 Huntington Co. 
 
 Lignite 
 
 COLORADO. 
 
 Lignite 
 
 Lignite, slack 
 
 ILLINOIS. 
 
 Big' Muddy, Jackson Co 
 
 Colchester, Slack 
 
 Gillespie, Macoupin Co 
 
 Mercer Co, 
 
 INDIANA. 
 
 Block 
 
 Cannel 
 
 IOWA. 
 
 Good cheer 
 
 KENTUCKY. 
 
 Caking- 
 
 Cannel 
 
 Lignite 
 
 MISSOURI. 
 
 Bevler Mines 
 
 NEW MEXICO. 
 
 Coal 
 
 OHIO. 
 Briar Hill, Mahoning Co... 
 
 Hocking Valley 
 
 PENNSYLVANIA. 
 
 Anthracite 
 
 Anthracite, pea 
 
 Pittsburgh (average) 
 
 Youghiogheney 
 
 TEXAS. 
 
 Fort Worth — 
 
 Lignite 
 
 WEST VIRGINIA. 
 
 Pocahontas 
 
 New River 
 
 Fuel value per pound 
 of coal. 
 
 
 14,420 
 
 9,215 
 
 13,5G0 
 8,500 
 
 14,020 
 13,097 
 
 14,391 
 
 15,198 
 
 9,326 
 
 13,714 
 13,414 
 
 14,199 
 12,300 
 
 12,96-2 
 
 14.200 
 
 
 
 11,812 
 11,756 
 
 11,781 
 9,035 
 9.739 
 
 13,123 
 
 8,702 
 
 9.890 
 11,756 
 
 13,104 
 12,936 
 
 9,450 
 14,273 
 
 g 
 
 OicD ed 
 03.0 
 
 >^ 
 ft) 
 
 - Pf^ 
 
 03 
 
 -: si 0(>3 
 
 14.90 
 
 12.22 
 
 12.17 
 
 9.54 
 
 14.04 
 8.80 
 
 12.19 
 
 9.35 
 
 10.00 
 
 13.58 
 
 14.50 
 13.56 
 
 9.01 
 
 14.89 
 
 16.78 
 
 9.65 
 
 10.24 
 
 12.17 
 
 14.20 
 13.90 
 
 14.70 
 12.73 
 13.46 
 13.39 
 
 9.78 
 13.41 
 
 14.71 
 14.70 
 
 *Sturtevant's "Mechanical Draft.' 
 
 848 
 
^ 
 
 TABLE 15. 
 Capacities of Chimneys.* 
 
 
 10 
 
 12 
 
 15 
 
 18 
 
 Steam 
 
 Hot water 
 B. t. u. __. 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. ... 
 
 Steam 
 
 Hot water 
 B. t. u. _.. 
 
 Maximum sq. ft. of cast iron radiating 
 
 surface and B, t. u. for a flue of the 
 
 given diameter and height 
 
 bo 
 
 2 
 
 x: 
 
 J3 
 
 X3 
 
 X3 
 
 bo 
 
 bo 
 
 bo 
 
 bO 
 
 
 
 
 
 xi 
 
 fl 
 
 fl 
 
 Xi 
 
 4J 
 
 ■w 
 
 ■M 
 
 4i 
 
 ■M 
 
 •M 
 
 •♦H 
 
 
 50 
 
 Oi 
 
 ■* 
 
 lH 
 
 CO 
 
 ■* 
 
 fO 
 
 00 
 
 XI 
 bo 
 
 146 
 
 243 
 
 36500 
 
 175 
 
 291 
 
 43750 
 
 204 
 
 340 
 
 51000 
 
 233 
 
 388 
 
 58250 
 
 262 
 
 437 
 
 65500 
 
 228 
 
 379 
 
 57000 
 
 273 
 
 455 
 
 68250 
 
 319 
 
 531 
 
 79750 
 
 364 
 
 607 
 
 91000 
 
 410 
 
 683 
 
 102500 
 
 327 
 
 544 
 
 81750 
 
 392 
 
 653 
 
 98000 
 
 457 
 
 762 
 114250 
 
 523 
 
 871 
 130750 
 
 568 
 
 980 
 
 147000 
 
 445 
 
 742 
 
 111250 
 
 534 
 
 890 
 
 133500 
 
 623 
 
 1038 
 
 155750 
 
 712 
 
 1187 
 
 178000 
 
 801 
 
 1335 
 
 200250 
 
 582 
 
 969 
 
 145500 
 
 698 
 
 1163 
 
 174500 
 
 814 
 
 1357 
 
 203500 
 
 930 
 
 1551 
 
 232500 
 
 1047 
 
 1745 
 
 261750 
 
 909 
 
 1514 
 
 227250 
 
 1090 
 
 1817 
 
 272500 
 
 1272 
 
 2120 
 
 318000 
 
 1454 
 
 2423 
 
 363500 
 
 1636 
 
 2726 
 
 409000 
 
 1537 
 
 2561 
 
 384250 
 
 1844 
 
 3073 
 
 461000 
 
 2151 
 
 3586 
 
 537750 
 
 2458 
 
 4098 
 
 614500 
 
 2766 
 
 4610 
 
 691500 
 
 2327 
 
 3878 
 581750 
 
 2792 
 
 4653 
 
 698000 
 
 3257 
 
 5429 
 
 814250 
 
 3722 
 
 6204 
 
 930500 
 
 4188 
 
 6980 
 
 1047000 
 
 291 
 
 485 
 
 72750 
 
 455 
 
 758 
 
 113750 
 
 653 
 
 1083 
 163250 
 
 890 
 
 1483 
 
 222500 
 
 1163 
 
 1938 
 290750 
 
 1817 
 
 3028 
 454250 
 
 3073 
 
 5122 
 
 768250 
 
 4653 
 
 7755 
 
 1163250 
 
 Radiation is calculated at 250 B. t. u. steam, 150 B. t. u. water. 
 *The Model Boiler Manual. 
 
 349 
 
TABLE 16. 
 Equalization of Smoke FlueH — Commercial Slsea.* 
 
 Inside 
 
 Brick flue 
 
 Rectangular 
 
 Outside 
 
 diameter 
 
 not lined 
 
 lined flue 
 
 Iron 
 
 lined flue 
 
 well built 
 
 outside of tile 
 
 stack 
 
 6 
 
 8%x8% 
 
 
 8 
 
 7 
 
 8%x8% 
 
 7X7 
 
 9 
 
 8 
 
 81^x8% 
 
 8\4x8i^ 
 
 10 
 
 9 
 
 81/^x13 
 
 8V^xl3 
 
 11 
 
 10 
 
 314x13 
 
 8V^xl3 
 
 12 
 
 13 
 
 13x13 
 
 13x13 
 
 14 
 
 15 
 
 13x17 
 
 13x18 
 
 17 
 
 18 
 
 17x21^ 
 
 18x18 
 
 20 
 
 Round flue tile lining is listed by its inside measurement. 
 Rectangular lining by outside measurement. 
 
 TABLE 17. 
 Dimensions of Registers.* 
 
 
 Nominal 
 
 Effective 
 
 
 
 Size of 
 
 opening. 
 
 Inches 
 
 area cf 
 
 opening, 
 
 square 
 
 area of 
 
 opening, 
 
 square 
 
 Tin box size, 
 inches 
 
 Extreme 
 dimensions of 
 register face, 
 
 
 inches 
 
 inches 
 
 
 Inches 
 
 ex 10 
 
 60 
 
 40 
 
 61*8 X lOA 
 
 7U X IIU 
 
 9K X 11^ 
 
 8x10 
 
 80 
 
 68 
 
 8H X 10^8 
 
 8x12 
 
 96 
 
 64 
 
 8H X 12y% 
 
 9K X 18K 
 
 8x15 
 
 120 
 
 80 
 
 8H X 15H 
 
 9K X 1611 
 lOJ^ X 18Ji 
 
 9x12 
 
 108 
 
 72 
 
 9li X 12]J 
 
 9x14 
 
 126 
 
 84 
 
 9iJ X 14 i 
 
 lOj/8 X 15;^ 
 
 10x12 
 
 120 
 
 80 
 
 lOi, X 12 4 
 
 III8 X 1318 
 
 10x14 
 
 140 
 
 98 
 
 105, xl4ii 
 
 1118x1511 
 1118 X 17Ji 
 
 10x16 
 
 160 
 
 107 
 
 lOii X im 
 UH X 15^ 
 
 12x15 
 
 180 
 
 120 
 
 14A X 17 
 
 12x19 
 
 228 
 
 152 
 
 12K X 195i 
 
 14A X 21 
 
 14x22 
 
 808 
 
 205 
 
 14^8 X 22^8 
 
 16^4 X 24^ 
 
 15x25 
 
 875 
 
 250 
 
 15^8 X 25 X 
 
 17^ X 275^ 
 
 16x20 
 
 820 
 
 218 
 
 UJi X 20% 
 
 18A X 22A 
 
 16x24 
 
 884 
 
 256 
 
 16^8 x24X 
 
 18.^ X 26A 
 22^ X 22H 
 
 20x20 
 
 400 
 
 267 
 
 20i8 x20 8 
 20i8 X 24 g 
 
 20x24 
 
 480 
 
 820 
 
 22^ X 26 >i 
 
 20x26 
 
 520 
 
 847 
 
 20} 8 X 26i8 
 
 22^ X 28^ 
 
 21x29 
 
 609 
 
 408 
 
 21i8x2918 
 
 23H X31H 
 
 27x27 
 
 729 
 
 486 
 
 27i8x2718 
 
 2^m X 29H 
 
 27x88 
 
 1026 
 
 684 
 
 27}8x3818 
 
 29 H X 40-H 
 
 30x80 
 
 900 
 
 600 
 
 8015x8018 
 
 32 H X 82H 
 
 Dimensions of different makes of registers vary slightly, 
 are for Tuttle & Bailey manufacture, 
 
 •The Model Boiler Manual. 
 
 The aboy« 
 
 350 
 
TABLE 18. 
 
 Capacities of Warm Air Furnaces of Ordinary Construction In 
 Cubic Feet of Space Heated.* 
 
 Divided space 
 
 Fire-pot 
 
 Undivided space 
 
 +10° 
 
 0° 
 
 -10° 
 
 Diam. 
 
 Area 
 
 +10° 
 
 0° 
 
 —IQP 
 
 12000 
 
 10000 
 
 8000 
 
 18 in. 
 
 1.8 sq. ft. 
 
 17000 
 
 14000 
 
 12000 
 
 14000 
 
 12000 
 
 10000 
 
 20 " 
 
 2.2 
 
 22000 
 
 17000 
 
 14000 
 
 17000 
 
 14000 
 
 12000 
 
 22 " 
 
 2.6 
 
 26000 
 
 22000 
 
 17000 
 
 22000 
 
 18000 
 
 14000 
 
 24 '• 
 
 3.1 
 
 80000 
 
 26000 
 
 22000 
 
 26000 
 
 22000 
 
 18000 
 
 26 " 
 
 3.7 '• 
 
 85000 
 
 80000 
 
 26000 
 
 80000 
 
 26000 
 
 22000 
 
 28 " 
 
 4.8 
 
 40000 
 
 35000 
 
 30000 
 
 35000 
 
 80000 
 
 26000 
 
 80 " 
 
 4.9 
 
 50000 
 
 40000 
 
 85000 
 
 TABLE 19. 
 Capacities of Hot-Air Pipes and Regristers.t 
 
 
 Q 
 
 fl t-i 
 
 «W -4-) "H 
 
 d 
 
 a 
 
 
 .M 
 
 .S 0) 
 
 o xni; 
 
 o 
 
 o 
 
 
 
 w 
 
 ^^ 
 
 
 
 4J 
 
 2 
 
 83 S3 
 
 
 
 
 o 
 
 •M 
 
 •3° 
 
 CJ 4) 
 
 m 
 
 . 'O 
 
 « 
 
 O 
 
 J 
 
 02 
 
 Equiv 
 round 
 pipe. 
 
 Equiv 
 squar 
 pipe. 
 
 Cubic 
 space 
 floor 
 lieat. 
 
 
 
 6x8 
 
 6 in. 
 
 4x8 
 
 400 
 
 450 
 
 500 , 
 
 8x8 
 
 7 " 
 
 4x10 
 
 450 
 
 500 
 
 560 
 
 8x10 
 
 8 " 
 
 4x10 
 
 500 
 
 850 
 
 880 
 
 8x12 
 
 8 " 
 
 4x11 
 
 800 
 
 1000 
 
 1050 
 
 9x12 
 
 9 " 
 
 4x12 
 
 1050 
 
 1250 
 
 1320 
 
 9X14 
 
 9 " 
 
 4x14 
 
 1050 
 
 1350 
 
 1450 
 
 10X12 
 
 10 " 
 
 4x14 
 
 1500 
 
 1650 
 
 1800 
 
 10x14 
 
 10 " 
 
 6x10 
 
 1800 
 
 2000 
 
 2200 
 
 10x16 
 
 10 " 
 
 6x10 
 
 1800 
 
 200O 
 
 2200 
 
 12x14 
 
 12 " 
 
 6x12 
 
 2200 
 
 230O 
 
 2500 
 
 12x15 
 
 12 " 
 
 6x12 
 
 2250 
 
 2300 
 
 2500 
 
 12x17 
 
 12 " 
 
 6x14 
 
 2S0O 
 
 2600 
 
 2800 
 
 12x19 
 
 12 " 
 
 6x14 
 
 2300 
 
 2600 
 
 2800 
 
 14x18 
 
 14 " 
 
 6x16 
 
 280O 
 
 3000 
 
 3200 
 
 14x20 
 
 14 " 
 
 6x16 
 
 2900 
 
 30OO 
 
 3200 
 
 14x22 
 
 14 " 
 
 8x16 
 
 3000 
 
 3200 
 
 3400 
 
 16X20 
 
 IS " 
 
 8x18 
 
 3600 
 
 4000 
 
 4250 
 
 16X24 
 
 16 " 
 
 8x18 
 
 370O 
 
 4000 
 
 4250 
 
 20X24 
 
 18 " 
 
 10x20 
 
 48ot? 
 
 5400 
 
 5750 
 
 20x26 
 
 20 " 
 
 10x24 
 
 6000 
 
 7000 
 
 7450 
 
 •Federal Furnace League Handbook. 
 tKidder's Arch, and B'ld'rs. Pocket-Book. 
 
 351 
 
TABLE 20. 
 Air Henting: Capacity of Warm Air Furnaces.* 
 
 Fire-pot 
 
 Casing 
 
 Total 
 
 cross sec. 
 
 area of 
 
 heat 
 
 pipes 
 
 No. 
 
 and size of heat pipes that 
 may be supplied 
 
 Diam. 
 
 Area 
 
 Diam. 
 
 18 in. 
 
 1.8 sq. ft. 
 
 30"-32'' 
 
 20 " 
 
 2.2 " 
 
 Si'-se" 
 
 22 " 
 
 2.6 " 
 
 36"-40" 
 
 24 " 
 
 3.1 " 
 
 40"-44" 
 
 26 " 
 
 3.7 " 
 
 44"-50" 
 
 28 " 
 
 4.3 " 
 
 48"-56" 
 
 30 " 
 
 4.9 " 
 
 52"-60" 
 
 180 sq. in. 
 
 280 
 
 360 
 
 470 
 
 565 
 
 650 
 
 730 
 
 3-9' or 4-8* 
 
 2-10* and 2-9' or 3-9' and 2-8^ 
 
 3-l(r and 2-9' or 4-9' and 2-8* 
 
 3-10*. 1-9' and 2-8' or 2-10" and 5-8' 
 
 5-10" and 3-9" or 3-10*, 4-9' and 2-8* 
 
 2-12', 3-10* and 3-9" or 5-10", 3-9' and 2-8" 
 
 3-12", 3-10" and 3-9' or 5-10", 5-9" and 1-8* 
 
 TABLE 21. 
 
 Sectional Area (Square InchcN) of Vertical Hot Air Flues, 
 Natural Dralt, Indirect Systeni.t 
 
 Outside temperature 50° F. Flue temperature 90° F. 
 
 Sq. ft. 
 
 STEAM 
 
 WATER 
 
 
 
 
 
 
 
 
 
 cast iron 
 
 
 -o 
 
 
 XI 
 
 
 •a 
 
 
 J3 
 
 radiation 
 
 4i >. 
 
 
 1^ 
 
 
 4^ >. 
 
 
 "2 >» 
 
 
 
 .t o 
 
 
 ■so 
 
 o o 
 
 .h c 
 
 ^ ° 
 
 J= O 
 
 o o 
 
 
 f^li 
 
 X UQ 
 
 E-* 00 
 
 ^ to 
 
 PMtS 
 
 Km 
 
 ^1^ 
 
 f^^ 
 
 to 50 
 
 100 
 
 75 
 
 63 
 
 60 
 
 75 
 
 63 
 
 60 
 
 60 
 
 50 " 75 
 
 150 
 
 113 
 
 94 
 
 80 
 
 113 
 
 94 
 
 80 
 
 80 
 
 75 " 100 
 
 200 
 
 150 
 
 125 
 
 100 
 
 150 
 
 125 
 
 100 
 
 100 
 
 100 " 125 
 
 250 
 
 188 
 
 156 
 
 125 
 
 188 
 
 156 
 
 125 
 
 125 
 
 125 " 150 
 
 300 
 
 225 
 
 188 
 
 150 
 
 225 
 
 188 
 
 150 
 
 150 
 
 150 " 175 
 
 350 
 
 263 
 
 219 
 
 175 
 
 263 
 
 219 
 
 175 
 
 175 
 
 175 " 200 
 
 400 
 
 300 
 
 250 
 
 200 
 
 300 
 
 250 
 
 200 
 
 200 
 
 200 " 225 
 
 450 
 
 338 
 
 281 
 
 225 
 
 3.S8 
 
 281 
 
 225 
 
 225 
 
 225 " 250 
 
 500 
 
 375 
 
 313 
 
 250 
 
 375 
 
 313 
 
 250 
 
 250 
 
 250 " 275 
 
 550 
 
 413 
 
 344 
 
 275 
 
 413 
 
 344 
 
 275 
 
 275 
 
 275 " 300 
 
 600 
 
 450 
 
 375 
 
 300 
 
 450 
 
 375 
 
 300 
 
 300 
 
 300 " 325 
 
 650 
 
 488 
 
 406 
 
 325 
 
 488 
 
 406 
 
 325 
 
 325 
 
 325 " 350 
 
 700 
 
 525 
 
 4:« 
 
 350 
 
 525 
 
 438 
 
 350 
 
 350 
 
 350 " 375 
 
 750 
 
 563 
 
 409 
 
 375 
 
 563 
 
 469 
 
 375 
 
 375 
 
 375 •' 400 
 
 800 
 
 600 
 
 500 
 
 400 
 
 600 
 
 500 
 
 400 
 
 400 
 
 Velocity 
 
 
 
 
 
 
 
 
 
 feet per sec. 
 
 2V^ 
 
 i'^ 
 
 5\4 
 
 6^/^ 
 
 1% 
 
 2% 
 
 4 
 
 4 
 
 Effective area 
 
 
 
 
 
 
 
 
 
 of register. 
 
 1.00 
 
 1.50 
 
 1.83 
 
 2.17 
 
 1.00 
 
 1.00 
 
 1.33 
 
 1.33 
 
 Factor for 
 
 
 
 
 
 
 
 
 
 •Federal Furnace League Handbook. 
 tThe Model Holler Manual. 
 
 352 
 
TABLE 22. 
 Sheet Metal Dimensions and Welgrhts. 
 
 
 Approximate 
 
 Wt. per sq 
 
 . ft. in lbs. 
 
 
 Decimal 
 
 Iron 
 
 Steel 
 
 U. S. gage 
 
 gage 
 
 millimeters 
 
 480 lbs. per 
 cu. ft. 
 
 489.6 lbs. per 
 cu. ft. 
 
 numbers 
 
 0.002 
 
 0.05 
 
 0.08 
 
 0.082 
 
 
 0.004 
 
 0.10 
 
 0.16 
 
 0.163 
 
 
 0.006 
 
 0.15 
 
 0.24 
 
 0.245 
 
 38-39 
 
 0.008 
 
 0.20 
 
 0.32 
 
 0.326 
 
 34-35 
 
 0.010 
 
 0.25 
 
 0.40 
 
 0.408 
 
 32 
 
 0.012 
 
 0.30 
 
 0.48 
 
 0.490 
 
 30-31 
 
 0.014 
 
 0.36 
 
 0.56 
 
 0.571 
 
 29 
 
 0.016 
 
 0.41 
 
 0.64 
 
 0.653 
 
 27-28 
 
 0.018 
 
 0.46 
 
 0.72 
 
 0.734 
 
 26-27 
 
 0.020 
 
 0.51 
 
 0.80 
 
 0.816 
 
 25-26 
 
 0.022 
 
 0.56 
 
 0.88 
 
 0.898 
 
 25 
 
 0.025 
 
 0.64 
 
 1.00 
 
 1.020 
 
 24 
 
 0.028 
 
 0.71 
 
 1.12 
 
 1.142 
 
 23 
 
 0.032 
 
 .0.81 
 
 1.28 
 
 1.306 
 
 21-22 
 
 0.036 
 
 0.91 
 
 1.44 
 
 1.469 
 
 20-21 
 
 0.040 
 
 1.02 
 
 1.60 
 
 1.632 
 
 19-20 
 
 0.045 
 
 1.14 
 
 1.80 
 
 1.836 
 
 18-19 
 
 0.050 
 
 1.27 
 
 2.00 
 
 2.040 
 
 18 
 
 0.055 
 
 1.40 
 
 2.20 
 
 2.244 
 
 17 
 
 0.060 
 
 1.52 
 
 2.40 
 
 2.448 
 
 16-17 
 
 0.065 
 
 1.65 
 
 2.60 
 
 2.652 
 
 15-16 
 
 0.070 
 
 1.78 
 
 2.80 
 
 2.856 
 
 15 
 
 0.075 
 
 1.90 
 
 3.00 
 
 3.060 
 
 14-15 
 
 0.080 
 
 2.03 
 
 3.20 
 
 3.264 
 
 13-14 
 
 0.085 
 
 2.16 
 
 3.40 
 
 3.468 
 
 13-14 
 
 0.090 
 
 2.28 
 
 3.60 
 
 3.672 
 
 13-14 
 
 0.095 
 
 2.41 
 
 3.80 
 
 3.876 
 
 12-13 
 
 0.100 
 
 2.54 
 
 4.00 
 
 4.080 
 
 12-13 
 
 0.110 
 
 2.79 
 
 4.40 
 
 4.488 
 
 12 
 
 0.125 
 
 3.18 
 
 5.00 
 
 5.100 
 
 11 
 
 0.135 
 
 3.43 
 
 5.40 
 
 6.508 
 
 10-11 
 
 0.150 
 
 3.81 
 
 6.00 
 
 6.120 
 
 9-10 
 
 0.165 
 
 4.19 
 
 6.60 
 
 6.732 
 
 8-9 
 
 0.180 
 
 4.57 
 
 7.20 
 
 7.344 
 
 7-S 
 
 0.200 
 
 5.08 
 
 8.00 
 
 8.160 
 
 6-7 
 
 0.220 
 
 5.59 
 
 8.80 
 
 8.976 
 
 4-5 
 
 0.240 
 
 6.10 
 
 9.60 
 
 9.792 
 
 3-4 
 
 0.250 
 
 6.35 
 
 10.00 
 
 10.200 
 
 3 
 
 For weights of galvanized iron, multiply weight, black, by: — 
 No. 28 No. 26 No. 24 No. 22 No. 20 No. 18 No. 16 
 
 1.25 
 
 1.21 
 
 1.16 
 
 1.13 
 
 1.11 
 
 1.07 
 
 353 
 
TABLE 23. 
 
 T\>l8:ht of Round Galvanized Iron Pipe and Elbown of the 
 Proper Gases for HeatlnsT and Ventilating \%'ork. 
 
 Gage and 
 weight per 
 sq. ft. 
 
 •M 
 O 
 
 Circumf. 
 of pipe 
 in inches 
 
 
 Weight per 
 
 running 
 
 foot 
 
 ♦I fa. 1 
 
 Gage and 
 weight per 
 sq. ft. 
 
 O 
 
 .So. 
 
 Circumf. 
 of pipe 
 in inches 
 
 1 
 a . 
 
 Weight per 
 
 running 
 
 foot 
 
 
 
 3 
 
 9.43 
 
 7.1 
 
 0.7 
 
 0.4 
 
 
 36 
 
 113.10 
 
 1017.9 
 
 17.2 
 
 124.4 
 
 
 4 
 
 12.57 
 
 12.6 
 
 1.1 
 
 0.9 
 
 
 37 
 
 116.24 
 
 1075.2 
 
 17.8 
 
 131.4 
 
 No. 28 
 
 5 
 
 15,71 
 
 19.6 
 
 1.2 
 
 1.2 
 
 
 38 
 
 119.38 
 
 1134.1 
 
 18.2 
 
 139.4 
 
 0.78 
 
 6 
 
 18.85 
 
 28.3 
 
 1.4 
 
 1.7 
 
 
 39 
 
 122.52 
 
 1194.6 
 
 18.7 
 
 146.0 
 
 
 7 
 
 21.99 
 
 38.5 
 
 1.7 
 
 2.3 
 
 
 40 
 
 125.66 
 
 1256.6 
 
 19.1 
 
 152.9 
 
 
 8 
 
 25.13 
 
 50.3 
 
 1.9 
 
 2.9 
 
 No. 20 
 
 41 
 
 128.81 
 
 1320.6 
 
 19.6 
 
 160.7 
 
 
 
 
 
 
 
 1.66 
 
 42 
 43 
 44 
 
 131.95 
 135.09 
 138.23 
 
 1385.4 
 1452.2 
 1520.5 
 
 20.1 
 20.6 
 21.0 
 
 168.6 
 176.7 
 185.0 
 
 
 9 
 10 
 
 28.27 
 31.42 
 
 63.6 
 
 78.5 
 
 2.4 
 2.7 
 
 4.3 
 5.3 
 
 No. 26 
 
 11 
 
 34.56 
 
 95.0 
 
 2.9 
 
 6.4 
 
 
 45 
 
 141.37 
 
 1590.4 
 
 21.5 
 
 193.4 
 
 0.91 
 
 12 
 13 
 14 
 
 37.70 
 40.84 
 43.98 
 
 113.1 
 132.7 
 153.9 
 
 3.2 
 3.4 
 3.7 
 
 7.6 
 
 8.9 
 
 10.4 
 
 
 46 
 
 144.51 
 
 1661.9 
 
 22.0 
 
 202.2 
 
 
 
 47 
 
 147.65 
 
 1734.9 
 
 29.2 
 
 
 
 
 
 
 
 
 274.3 
 
 
 15 
 
 47.12 
 
 176.7 
 
 4.5 
 
 13.5 
 
 
 48 
 
 150.80 
 
 1809.6 
 
 29.8 
 
 286.6 
 
 
 16 
 
 50.27 
 
 201.1 
 
 4.7 
 
 15.1 
 
 
 49 
 
 153.94 
 
 1885.7 
 
 30.4 
 
 298.8 
 
 No. 25 
 
 17 
 
 53.41 
 
 227.0 
 
 5.0 
 
 17.0 
 
 
 50 
 
 157.08 
 
 1963.5 
 
 31.0 
 
 309.9 
 
 1.03 
 
 18 
 
 56.55 
 
 254.5 
 
 5.3 
 
 19.1 
 
 
 51 
 
 160.22 
 
 2042.8 
 
 31.6 
 
 322.5 
 
 
 19 
 
 59.69 
 
 283.5 
 
 5.6 
 
 21.4 
 
 No. 18 
 
 52 
 
 163.36 
 
 2123.7 
 
 32.2 
 
 335.1 
 
 
 20 
 
 62.83 
 
 314.2 
 
 6.0 
 
 23.9 
 
 2.16 
 
 53 
 54 
 55 
 
 166.50 2206.2 
 169.65 2290.2 
 172.79 2375.8 
 
 33.0 
 :^3.6 
 34.4 
 
 349.7 
 463.4 
 
 
 
 
 
 
 
 377.2 
 
 
 21 
 
 65.97 
 
 346.4 
 
 7.0 
 
 29.6 
 
 
 56 
 
 175.93 2463.0 
 
 34.9 
 
 390.7 
 
 
 22 
 
 69.12 
 
 380.1 
 
 7.3 
 
 32.3 
 
 
 57 
 
 179.0712551.8 
 
 35.6 
 
 405.1 
 
 No. 24 
 
 23 
 
 72.26 
 
 415.5 
 
 7.7 
 
 35.6 
 
 
 58 
 
 182.21 2642.1 
 
 36.1 
 
 418.8 
 
 1.16 
 
 24 
 
 75.40 
 
 452.4 
 
 8.0 
 
 38.6 
 
 
 59 
 
 l85.35'-2734.0 
 
 36.7 
 
 433.1 
 
 
 25 
 
 78.54 
 
 490.9 
 
 8.3 
 
 41.7 
 
 
 60 
 
 188.50 2827.4 
 
 37.4 
 
 448.6 
 
 
 26 
 
 81.68 
 
 530.9 
 
 8.7 
 
 45.1 
 
 
 
 
 
 
 
 
 27 
 
 84.82 
 
 572.6 
 
 10.9 
 
 59.1 
 
 
 
 
 
 
 
 
 28 
 
 87.97 
 
 615.7 
 
 11.4 
 
 64.2 
 
 
 61 
 
 191.64 2922.5 
 
 46.7 
 
 569.7 
 
 
 29 
 
 91.11 
 
 660.5 
 
 11.8 
 
 68.6 
 
 
 62 
 
 194.78 
 
 3019.1 
 
 47.5 
 
 589.0 
 
 No. 22 
 
 30 
 
 94.25 
 
 706.0 
 
 12.2 
 
 73.4 
 
 
 63 
 
 197.92 
 
 3117.3 
 
 48.3 
 
 608.6 
 
 1.41 
 
 31 
 
 97.39 
 
 754.8 
 
 12^6 
 
 78.3 ' 
 
 No. 16 
 
 64 
 
 201.06 
 
 3217.0 
 
 49.1 
 
 628.5 
 
 
 32 
 
 100.53 
 
 804.3 
 
 13.0 
 
 83.4 
 
 2.66 
 
 66 
 
 207.34 
 
 3421.2 
 
 50.5 
 
 666.6 
 
 
 33 
 
 103.67 
 
 855.3 
 
 13.5 
 
 88.9 
 
 
 68 
 
 213.63 
 
 3631.7 
 
 52.1 
 
 708.6 
 
 
 34 
 
 106.84 
 
 907.9 
 
 13.9 
 
 94.3 
 
 
 70 
 
 219.91 
 
 3848.5 
 
 53.6 
 
 750.4 
 
 
 35 
 
 100.96 
 
 962.1 
 
 14.3 
 
 99.9 
 
 
 72 
 
 226.19 
 
 4071.5 
 
 55.1 
 
 793.4 
 
 354 
 
 ^ 
 
TABLE 24. 
 
 Specific Heats, Coefficients of E^xpansion, Coefficients of Trans- 
 mission, and Fusing^-Points of Solids, Liquids or Gases.* 
 
 SUBSTANCE 
 
 a) as 
 
 a o 
 
 ccx: 
 
 o 
 
 a a 
 .*§ M 
 
 <t-i oi 
 
 o| 
 OS 
 
 o a 
 
 C CO 
 
 a 
 
 
 0, 
 
 a <u 
 <u 
 
 S a? 
 
 Antimony 
 
 0.0508 
 0.0951 
 0.0324 
 0.1138 
 0.1937 
 0.1298 
 0.0314 
 0.0324 
 0.0570 
 0.0562 
 0.1165 
 0.1175 
 
 0"0956 
 0.0939 
 0.5040 
 0.2026 
 0.2410 
 0.1970 
 0.1887 
 1.0000 
 0.0333 
 0.7000 
 
 .00000602 
 .00000955 
 .00001060 
 .00000895 
 .00000478 
 .00000618 
 .00001580 
 .00000530 
 .00001060 
 .00001500 
 .00000600 
 .00000689 
 .00000003 
 .00001633 
 .00001043 
 .00000375 
 .00006413 
 .00007860 
 .00002313 
 .00012530 
 .00008806 
 .00003333 
 .00015151 
 
 .00022 
 .00404 
 
 7o6o89"" 
 .0000008 
 .000659 
 .00045 
 
 'ooeio" 
 
 .00084 
 .00062 
 .00034 
 
 '06170" 
 
 .00142 
 
 .000024 
 
 T000602' 
 .00203 
 
 Toooooi" 
 
 .00011 
 .000002 
 
 815 
 
 Copper _ _ 
 
 1949 
 
 Gold _ - 
 
 1947 
 
 Wrouglit iron 
 
 Glass __ __ 
 
 2975 
 1832 
 
 Cast iron __ . _ 
 
 2192 
 
 Lead 
 
 621 
 
 Platinum __ 
 
 3152 
 
 Silver 
 
 Tin .. 
 
 1751 
 446 
 
 Steel (soft) 
 
 2507 
 
 Steel (hard) 
 
 Nickel steel 36% 
 
 Zinc 
 
 2507 
 
 '787 
 
 Brass 
 
 1859 
 
 Ice _ _ _ _ 
 
 32 
 
 Sulphur 
 
 
 Charcoal __ 
 
 
 Aluminum 
 
 1213 
 
 Phosphorus 
 
 Water _ 
 
 
 Mercury 
 
 
 Alcohol (absolute )— 
 
 
 
 Con- 
 stant 
 pres- 
 sure 
 
 Con- 
 stant 
 volume 
 
 Coefficient 
 of cubical ex- 
 pansion at 1 
 atmos. 
 
 Air 
 
 Oxygen 
 
 Hydrogen 
 
 Nitrogen 
 
 Superheated steam _ 
 Carbonic acid 
 
 0.23751 
 
 0.21751 
 
 3.40900 
 
 0.24380 
 
 0.4805 
 
 0.2170 
 
 0.16847 
 
 0.15507 
 
 2.41226 
 
 0.17273 
 
 0.346 
 
 0.1535 
 
 .003671 
 .003674 
 .003669 
 .003668 
 .003726 
 
 .0000015 
 .0000012 
 .0000012 
 .0000012 
 
 100060122 
 
 *Kent and Suplee. 
 
 355 
 
r 
 
 TABLE 25. 
 
 Precmnre, In OunoeH, per Sqtinre Inch, Correspondlngr to 
 VarlouH Heads of Water, In Inches.* 
 
 
 Decimal parts of an inch 
 
 Head 
 
 
 
 
 
 
 
 
 
 
 
 in 
 
 .0 
 
 .1 
 
 .2 
 
 .3 
 
 .4 
 
 .5 
 
 .6 
 
 .7 
 
 .8 
 
 .9 
 
 inches 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 .06 
 
 .12 
 
 .17 
 
 .23 
 
 .29 
 
 .35 
 
 .40 
 
 .46 
 
 .52 
 
 1 
 
 .58 
 
 .63 
 
 .69 
 
 .75 
 
 .81 
 
 .87 
 
 .93 
 
 .98 
 
 1.04 
 
 1.09 
 
 2 
 
 1.16 
 
 1.21 
 
 1.27 
 
 1.33 
 
 1.39 
 
 1.44 
 
 1.50 
 
 1.56 
 
 1.62 
 
 1.67 
 
 3 
 
 1.73 
 
 1.79 
 
 1.85 
 
 1.91 
 
 1.96 
 
 2.02 
 
 2.08 
 
 2.14 
 
 2.19 
 
 2.25 
 
 4 
 
 2.31 
 
 2.37 
 
 2.42 
 
 2.48 
 
 2.54 
 
 2.60 
 
 2.66 
 
 2.72 
 
 2.77 
 
 2.83 
 
 5 
 
 2.89 
 
 2.94 
 
 3.00 
 
 3.06 
 
 3.12 
 
 3.18 
 
 3.24 
 
 3.29 
 
 3.35 
 
 3.41 
 
 6 
 
 3.47 
 
 3.52 
 
 3.58 
 
 3.64 
 
 3.70 
 
 3.75 
 
 3.81 
 
 3.87 
 
 3.92 
 
 3.98 
 
 7 
 
 4.04 
 
 4.10 
 
 4.16 
 
 4.22 
 
 4.28 
 
 4.33 
 
 4.39 
 
 4.45 
 
 4.50 
 
 4.56 
 
 8 
 
 4.62 
 
 4.67 
 
 4.73 
 
 4.79 
 
 4.85 
 
 4.91 
 
 4.97 
 
 5.03 
 
 5.08 
 
 5.14 
 
 9 
 
 5.20 
 
 5.26 
 
 5.31 
 
 5.37 
 
 5.42 
 
 5.48 
 
 5.54 
 
 5.60 
 
 5.66 
 
 5.72 
 
 TABLE 26. 
 
 Height of Water Column, In Inches, Corresponding? to Prea< 
 sures, in Ounces, per Square Inch.* 
 
 
 Decimal parts of an ounce 
 
 Pressure 
 
 
 
 
 
 
 
 
 
 
 
 in ounces 
 
 
 
 
 
 
 
 
 
 
 
 per square 
 
 .0 
 
 .1 
 
 .2 
 
 .3 
 
 .4 
 
 .5 
 
 .6 
 
 .7 
 
 .8 
 
 .9 
 
 inch 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 .17 
 
 .35 
 
 .52 
 
 .69 
 
 .87 
 
 1.04 
 
 1.21 
 
 1.38 
 
 1.56 
 
 1 
 
 1.73 
 
 1.90 
 
 2.08 
 
 2.25 
 
 2.42 
 
 2.60 
 
 2.77 
 
 2.94 
 
 3.11 
 
 3.29 
 
 2 
 
 3.46 
 
 3.63 
 
 3.81 
 
 3.98 
 
 4.15 
 
 4.33 
 
 4.50 
 
 4.67 
 
 4.84 
 
 5.01 
 
 3 
 
 5.19 
 
 5.36 
 
 5.54 
 
 5.71 
 
 5.88 
 
 6.06 
 
 6.23 
 
 6.40 
 
 6.57 
 
 6.75 
 
 4 
 
 6.92 
 
 7.09 
 
 7.27 
 
 7.44 
 
 7.61 
 
 7.79 
 
 7.96 
 
 8.13 
 
 8.30 
 
 8.48 
 
 5 
 
 8.65 
 
 8.82 
 
 9.00 
 
 9.17 
 
 9.34 
 
 9.52 
 
 9.69 
 
 9.86 
 
 10.03 
 
 10.21 
 
 6 
 
 10.38 
 
 10.55 
 
 10.73 
 
 10.90 
 
 11.07 
 
 11.26 
 
 11.43 
 
 11.60 
 
 11.77 
 
 11.95 
 
 7 
 
 12.11 
 
 12.28 
 
 12.46 
 
 12.63 
 
 12.80 
 
 12.97 
 
 13.15 
 
 13.32 
 
 13.49 
 
 13.67 
 
 8 
 
 13.84 
 
 14.01 
 
 14.19 
 
 14.36 
 
 14.53 
 
 14.71 
 
 14.88 
 
 15.05 
 
 15.22 
 
 15.40 
 
 9 
 
 15.57 
 
 15.74 
 
 15.92 
 
 16.09 
 
 16.26 
 
 16.45 
 
 16.62 
 
 16.76 
 
 16.96 
 
 17.14 
 
 •Suplee's M. E. Reference Book. 
 
 35S 
 
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 357 
 
TABLE 28. 
 Expansion of Wrought-Iron Pipe on the Application of Heat.* 
 
 Temp, air 
 
 
 
 
 
 
 
 
 M'hen 
 
 
 Increase in 
 
 length in inches 
 
 per 100 feet 
 
 
 pipe 
 
 
 
 
 when heated to 
 
 
 
 
 is fitted 
 
 
 
 
 
 
 
 
 Deg. F. 
 
 160 
 
 180 
 
 200 
 
 212 
 
 220 
 
 228 
 
 240 
 
 274 
 
 
 
 1.28 
 
 1.44 
 
 1.60 
 
 1.70 
 
 1.76 
 
 1.82 
 
 1.92 
 
 2.19 
 
 32 
 
 1.02 
 
 1.18 
 
 1.34 
 
 1.44 
 
 1.50 
 
 1.57 
 
 1.66 
 
 1.94 
 
 50 
 
 ,88 
 
 1.04 
 
 1.20 
 
 1.30 
 
 1.36 
 
 1.42 
 
 1.52 
 
 1.79 
 
 70 
 
 .72 
 
 .88 
 
 1.04 
 
 1.14 
 
 1.20 
 
 1.26 
 
 1.36 
 
 1.63 
 
 TABLE 29. 
 Tapping; Llsi of Direct Radiators.! 
 
 STEAM. 
 
 ONE-PIPE WORK. 
 
 TWO-PIPE WORK. 
 
 Radiator area 
 square feet 
 
 Tapping diam- 
 eter—inches 
 
 Radiator area 
 square feet 
 
 Tapping diam- 
 eter—inches 
 
 0— 24 
 
 . 24—60 
 60 — 100 
 100 and above 
 
 1 
 2 
 
 — 48 
 48 — 96 
 96 and above 
 
 1 X % 
 
 1^x1 
 
 l^^xl^ 
 
 WATER. 
 Tapped for supply and return. 
 
 Radiator area 
 square feet 
 
 • Tapping diameter 
 inches 
 
 — 40 
 
 40 — 72 
 72 and above. 
 
 1 
 
 •Holland Heating Manual. 
 jAmerican Radiator Co. 
 
 358 
 
 i^. 
 
TABLE 30. 
 Pipe Equalization. 
 
 (See also Table 19) 
 
 This table shows the relation of the 
 combined area of small round warm 
 air ducts or pipes to the area of one 
 large main duct. 
 
 The bold figures at the top of the 
 
 column represent the diameters of 
 
 the small pipes or ducts; those in 
 
 the left-hand vertical columns 
 
 aire the diameters of the main 
 
 pipes. The small figures show 
 
 the number of small pipes that 
 
 each main duct will supply. 
 
 Example.— To supply sixteen 
 10-inch pipes: Refer to column 
 having 10 at top; follow 
 down to small figure 16, 
 thence left on the hori- 
 zontal line of the bold- 
 face figure in the ! 
 outside column, and 
 we find that one 
 80-inch main will 
 supply air for 
 the sixteen 
 10 - inch 
 pipes. 
 
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 359 
 
TABLE 31. 
 
 Capacities of Hot Water Risers In Square Feet of Direct 
 
 Rndiation.* 
 
 Drop in temperature 20". 
 
 D. of 
 riser 
 inches 
 
 First 
 floor 
 
 Second 
 floor 
 
 Third 
 floor 
 
 Fourth 
 floor 
 
 Fifth 
 floor 
 
 Sixth 
 floor 
 
 % 
 
 12 
 22 
 38 
 
 66 
 140 
 240 
 350 
 510 
 700 
 
 17 
 
 33 
 
 56 
 
 92 
 
 196 
 
 328 
 
 490 
 
 705 
 
 980 
 
 21 
 
 40 
 
 70 
 
 112 
 
 238 
 
 400 
 
 595 
 
 860 
 
 1190 
 
 24 
 
 48 
 
 80 
 
 132 
 
 280 
 
 470 
 
 700 
 
 1010 
 
 1280 
 
 
 
 1 
 
 
 
 IVi 
 
 88 
 145 
 310 
 515 
 770 
 1110 
 1540 
 
 
 IV^ 
 
 
 2 
 
 
 'iVz 
 
 
 3 
 
 3V^ 
 4 
 
 850 
 1215 
 1660 
 
 A small pipe should never be run to a great height where It 
 only supplies one radiator. It is better to have limits for pipes 
 as follows: 
 
 D. in inches: 
 
 Height in feet: 
 
 20 
 
 1 
 30 
 
 1^ 
 45 
 
 1% 
 60 
 
 2 
 
 80 
 
 (Reduce size by 
 floors.) 
 
 TABLE 32. 
 Capacities of Pipes In Square Feet of Direct Steam Radlatlon.f 
 
 
 
 i 
 
 i 
 
 
 
 g^ 
 
 i 
 
 ■M 
 O 
 
 
 g 
 
 to 
 
 O 
 
 <t-i 
 o 
 
 & 
 
 ti) 
 
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 CO 
 
 J2 
 
 
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 e a w 
 
 S '- aJ 
 
 to 
 
 X2 
 
 n 
 £ 
 
 qS.S 
 
 fi £i.S 
 
 04 
 
 i« 
 
 qS.s 
 
 Q£^.a 
 
 
 
 L.*? 
 
 1 
 
 1 
 
 36 
 
 60 
 
 5 
 
 31^ 
 
 3720 
 
 6200 
 
 IV* 
 
 1 
 
 72 
 
 120 
 
 6 
 
 314 
 
 6000 
 
 10000" 
 
 1^^ 
 
 ly* 
 
 120 
 
 200 
 
 7 
 
 4 
 
 9000 
 
 15000 
 
 2 
 
 iMs 
 
 280 
 
 480 
 
 8 
 
 4 
 
 12800 
 
 21600 
 
 21^ 
 
 2 
 
 528 
 
 880 
 
 9 
 
 4^ 
 
 178CX) 
 
 30000 
 
 3 
 
 21^ 
 
 900 
 
 1500 
 
 10 
 
 5 
 
 23200 
 
 39000 
 
 ZVz 
 
 21/^ 
 
 1320 
 
 2200 
 
 12 
 
 6 
 
 37000 
 
 62000 
 
 4 
 
 3 
 
 1920 
 
 3200 1 
 
 14 
 
 7 
 
 54000 
 
 92C00 
 
 4V^ 
 
 3 
 
 2760 
 
 4600 1 
 
 16 
 
 8 
 
 76000 
 
 130000 
 
 •International Correspondence School. 
 fKent's M. E. Pockct-liook. 
 
 360 
 
 iH 
 
TABLE 33. 
 
 Capacities of Hot Water Pipes in Square Feet of Direct 
 
 Radiation.'" 
 
 
 Indi- 
 
 
 
 
 
 
 
 
 
 rect 
 
 
 
 Direct radiation. 
 
 
 
 Diameter 
 
 radi- 
 
 Height of coil above bottom of boiler, in 
 
 ft. 
 
 of pipes, 
 inches 
 
 ation 
 
 
 
 
 
 
 
 
 
 
 10 
 
 20 
 
 30 
 
 40 
 
 50 
 
 70 
 
 100 
 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 sq. ft. 
 
 % 
 
 49 
 
 50 
 
 52 
 
 53 
 
 55 
 
 57 
 
 61 
 
 68 
 
 1 
 
 87 
 
 89 
 
 92 
 
 95 
 
 98 
 
 101 
 
 108 
 
 121 
 
 114 
 
 136 
 
 140 
 
 144 
 
 149 
 
 153 
 
 158 
 
 169 
 
 189 
 
 11/2 
 
 196 
 
 202 
 
 209 
 
 214 
 
 222 
 
 228 
 
 243 
 
 271 
 
 2 
 
 349 
 
 359 
 
 370 
 
 380 
 
 393 
 
 405 
 
 433 
 
 483 
 
 21/2 
 
 546 
 
 561 
 
 577 
 
 595 
 
 613 
 
 633 
 
 678 
 
 755 
 
 3 
 
 785 
 
 807 
 
 835 
 
 856 
 
 888 
 
 912 
 
 974 
 
 1086 
 
 31/2 
 
 1069 
 
 1099 
 
 1132 
 
 1166 
 
 1202 
 
 1241 
 
 1327 
 
 1480 
 
 4 
 
 1395 
 
 1436 
 
 1478 
 
 1520 
 
 1571 
 
 1621 
 
 1733 
 
 1933 
 
 41/2 
 
 1767 
 
 1817 
 
 1871 
 
 1927 
 
 1988 
 
 2052 
 
 2193 
 
 2445 
 
 5 
 
 2185 
 
 2244 
 
 2309 
 
 2376 
 
 2454 
 
 2531 
 
 2713 
 
 3019 
 
 6 
 
 3140 
 
 3228 
 
 3341 
 
 3424 
 
 3552 
 
 3648 
 
 3897 
 
 4344 
 
 7 
 
 4276 
 
 4396 
 
 4528 
 
 4664 
 
 4808 
 
 4964 
 
 5308 
 
 . 5920 
 
 8 
 
 5580 
 
 5744 
 
 5912 
 
 6080 
 
 6284 
 
 6484 
 
 6932 
 
 7735 
 
 9 
 
 7068 
 
 7268 
 
 7484 
 
 7708 
 
 7952 
 
 8208 
 
 8774 
 
 9780 
 
 10 
 
 8740 
 
 8976 
 
 9236 
 
 9516 
 
 9816 
 
 10124 
 
 10852 
 
 12076 
 
 11 
 
 10559 
 
 10860 
 
 11180 
 
 11519 
 
 11879 
 
 12262 
 
 13108 
 
 14620 
 
 12 
 
 12560 
 
 12912 
 
 13364 
 
 13696 
 
 14208 
 
 14592 
 
 15588 
 
 17376 
 
 13 
 
 14748 
 
 15169 
 
 15615 
 
 16090 
 
 16591 
 
 17126 
 
 18307 
 
 20420 
 
 14 
 
 17104 
 
 17584 
 
 18109 
 
 18656 
 
 19232 
 
 19856 
 
 21232 
 
 23680 
 
 15 
 
 19634 
 
 20195 
 
 20789 
 
 21419 
 
 22089 
 
 22801 
 
 24373 
 
 27168 
 
 16 
 
 22320 
 
 22978 
 
 23643 
 
 24320 
 
 25136 
 
 25936 
 
 27728 
 
 30928 
 
 TABLE 34. 
 
 Capacities of Hot "Water Mains in Square Feet of Direct 
 
 Radiation.t 
 
 
 
 
 Total estimated length 
 
 of circuit 
 
 
 
 D. of 
 
 
 
 
 
 
 
 
 
 
 
 mams 
 
 100 
 
 200 
 
 300 
 
 400 
 
 500 
 
 600 
 
 700 
 
 800 
 
 900 
 
 1000 
 
 1 
 
 20 
 
 
 
 
 
 
 
 
 
 
 l^A 
 
 35 
 
 20 
 
 
 
 
 
 
 
 
 
 11^ 
 
 56 
 
 40 
 
 25 
 
 
 
 
 
 
 
 
 2 
 
 116 
 
 85 
 
 70 
 
 50 
 
 
 
 
 
 
 
 2^ 
 
 220 
 
 150 
 
 120 
 
 100 
 
 90 
 
 
 
 
 
 
 3 
 
 345 
 
 240 
 
 200 
 
 170 
 
 150 
 
 140 
 
 125 
 
 110 
 
 100 
 
 90 
 
 3% 
 
 500 
 
 340 
 
 280 
 
 245 
 
 225 
 
 205 
 
 190 
 
 175 
 
 162 
 
 150 
 
 4 
 
 700 
 
 485 
 
 390 
 
 340 
 
 310 
 
 280 
 
 260 
 
 240 
 
 230 
 
 220 
 
 41^ 
 
 925 
 
 640 
 
 535 
 
 460 
 
 410 
 
 375 
 
 345 
 
 325 
 
 300 
 
 295 
 
 5 
 
 1200 
 
 830 
 
 700 
 
 600 
 
 540 
 
 490 
 
 450 
 
 420 
 
 400 
 
 380 
 
 6 
 
 1900 
 
 1325 
 
 1100 
 
 950 
 
 850 
 
 775 
 
 700 
 
 650 
 
 620 
 
 600 
 
 7 
 
 
 2000 
 
 1600 
 
 1400 
 
 1250 
 
 1140 
 
 1050 
 
 975 
 
 925 
 
 875 
 
 8 
 
 
 
 
 1970 
 
 1720 
 
 1550 
 
 1440 
 
 1350 
 
 1800 
 
 1250 
 
 9 
 
 
 
 
 
 
 
 190O 
 
 1800 
 
 1700 
 
 1620 
 
 •Kent's M. E. Pocket-Book. 
 tlnternational Correspondence School. 
 
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 364 
 
 L 
 
TABLE 38. 
 
 Comparative Sizes of Steam Mains and Returns for Gravity 
 and Vacuum Systems. 
 
 Size of 
 
 Size of return 
 
 Size of 
 
 Size of return 
 
 supply 
 
 
 supply 
 
 
 
 
 pipe 
 
 Gravity 
 
 Vacuum 
 
 pipe 
 
 Gravity 
 
 Vacuum 
 
 % 
 
 % 
 
 ^ 
 
 4 
 
 2% 
 
 IVa 
 
 1 
 
 % 
 
 -"k 
 
 41/2 
 
 2y2 
 
 IV^ 
 
 m 
 
 1 
 
 ^k 
 
 5 
 
 3 
 
 2 
 
 1^/2 
 
 11/4 
 
 % 
 
 6 
 
 SVa 
 
 21/2 
 
 2 
 
 11/2 
 
 % 
 
 8 
 
 41/2 
 
 3% 
 
 2% 
 
 2 
 
 1 
 
 10 
 
 6 
 
 4 
 
 3 
 
 2 
 
 IV4 
 
 12 
 
 6 
 
 4% 
 
 3^ 
 
 21/2 
 
 IV4 
 
 14 
 
 7 
 
 5 
 
 Note.— For short runs of piping where the friction is not a serious 
 matter the above table will work out satisfactorily. These sizes are 
 only approximate and should be used with caution. 
 
 TABLE 39. 
 Elxpansion Tanks — Dimensions and Capacities.* 
 
 Size in inches 
 
 Capacity gallons 
 
 Sq. ft, of radiation 
 
 9x20 
 
 5V^ 
 
 150 
 
 10x20 
 
 8 
 
 250 
 
 12x20 
 
 10 
 
 350 
 
 12x24 
 
 12 
 
 450 
 
 12x30 
 
 15 
 
 550 
 
 12x36 
 
 18 
 
 650 
 
 14x30 
 
 20 
 
 700 
 
 14x36 
 
 24 
 
 850 
 
 16x30 
 
 26 
 
 900 
 
 16x36 
 
 33 
 
 1250 
 
 16x48 
 
 42 
 
 1750 
 
 18x60 
 
 66 
 
 2750 
 
 20x60 
 
 82 
 
 4500 
 
 22x60 
 
 100 
 
 600O 
 
 24x60 
 
 122 
 
 7500 
 
 •The Model Boiler Manual. 
 
 885 
 
TABL3 40. 
 SUen of Flansred Fltttngrs. 
 
 
 AU flttinss 
 
 an 
 
 d 
 
 
 ^ 
 
 f/9 
 
 t^rEd - ' - 
 
 * 1 I 
 
 vl 
 
 
 fl 
 
 anges 
 
 fi'- 
 
 
 M 
 
 
 
 
 
 
 
 
 a 
 
 es 
 *5 
 
 ? 
 
 tsfi 
 
 a 
 
 ,2 
 
 
 1 
 
 
 
 r 
 
 
 tc4 
 
 so 
 
 90° 
 elbow 
 
 45» 
 elbow 
 
 Long 
 turn 
 elbow 
 
 Tee 
 
 Cross 
 
 Lateral 
 
 c 
 
 
 
 
 
 
 
 , 
 
 c 
 
 o 
 
 o 
 
 DO 
 
 4^ 
 
 
 
 00 
 
 
 
 
 
 
 
 i? 
 
 
 t4 
 
 0^ 
 
 00 
 
 tn 
 
 a 
 
 
 
 
 
 
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 0. 
 
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 rp 
 
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 rp 
 
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 5 
 
 Eh 
 
 
 
 2; 
 
 s 
 
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 Q 
 
 
 
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 ^5 
 
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 6^ 
 
 4 
 
 9 
 
 J8 
 
 8 
 
 7% 
 
 % 
 
 6% 
 
 4 
 
 10 
 
 6% 
 
 13 
 
 12 
 
 3 
 
 6 
 
 11 
 
 1 
 
 8 
 
 9% 
 
 % 
 
 8 
 
 5 
 
 13- 
 
 8 
 
 16 
 
 141A 
 
 3% 
 
 8 
 
 13^ 
 
 1% 
 
 8 
 
 11% 
 
 % 
 
 9 
 
 6 
 
 16 
 
 9 
 
 18 
 
 17% 
 
 4% 
 
 10 
 
 16 
 
 i.-'e 
 
 12 
 
 141/4 
 
 % 
 
 11 
 
 7 
 
 20 
 
 11 
 
 22 
 
 20V, 
 
 5 
 
 12 
 
 19 
 
 IV4 
 
 12 
 
 17 
 
 % 
 
 12 
 
 7% 
 
 22 
 
 12 
 
 24 
 
 24% 
 
 5% 
 
 14 
 
 21 
 
 1% 
 
 14 
 
 18% 
 
 1 
 
 14 
 
 7% 
 
 24 
 
 14 
 
 28 
 
 27 
 
 a 
 
 16 
 
 23% 
 
 ^•> 
 
 16 
 
 2114 
 
 1 
 
 15 
 
 8 
 
 28 
 
 15 
 
 30 
 
 30 
 
 fiH 
 
 '20 
 
 27% 
 
 IfA 
 
 20 
 
 25 
 
 1% 
 
 18 • 
 
 9% 
 
 32 
 
 18 
 
 36 
 
 35 
 
 8 
 
 24 
 
 32 
 
 1% 
 
 20 
 
 29% 
 
 1% 
 
 22 
 
 11 
 
 36 
 
 22 
 
 44 
 
 40% 
 
 9 
 
 TABLE 41. 
 Dimensions of Ells and Tees for W^ongrht Iron Pipe. 
 
 ^ ^M^l 
 
 _ 
 
 t- L 
 
 
 
 ff 
 
 
 ••^, 
 
 ~ \ / 
 
 - •[> 
 
 
 
 
 
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 l-H 
 
 l-'A 
 
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 2-M 
 
 8- 
 
 8-H 
 
 4- 
 
 4-4 
 
 5- 
 
 6- 
 
 E 
 
 ^8 
 % 
 
 l-Ks 
 1-^ 
 i-.". 
 
 i-H 
 
 2- 
 
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 2-X 
 
 8-^ 
 
 8-^8 
 
 4- 
 
 i-H 
 i-H 
 6-^ 
 
 R 
 
 ^8 
 % 
 
 l-.^e 
 
 1-54 
 1-J4 
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 2-/8 
 
 2-K 
 
 8-^8 
 
 8-H 
 
 4- 
 
 4-/8 
 
 i-h 
 
 D 
 
 1- 
 
 1-/8 
 1-Ji 
 l-^ 
 
 l-% 
 
 2-H 
 2-% 
 S-% 
 4- 
 
 4-f^8 
 5-^ 
 5-% 
 6-H 
 6-% 
 
 l-h 
 
 l-A 
 
 1-H 
 
 2- 
 
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 4- 
 
 4-H 
 
 6- 
 
 «-x 
 
 7-^ 
 
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 6 
 
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 H 
 
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 h 
 
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 l-5i 
 1-H 
 l->i 
 
 2-y* 
 
 2-H 
 8-/8 
 8-X 
 4- 
 
 4-K 
 5 X 
 6-^ 
 7-^ 
 8- 
 8-\ 
 9-H 
 11- 
 
 H 
 
 l-H 
 
 i-H 
 
 i-A 
 
 i-?i 
 
 2- 
 
 2-96 
 
 2-?i 
 
 8-H 
 
 8-H 
 
 4- 
 
 6-« 
 
 366 
 
 k^ 
 
TABLE 42. 
 
 Loss of Pressure In Pipes 100 Feet Long: tn Ounces per 
 Square Inch when Delivering Air at the Velocities Given. 
 
 ^•1 
 
 Diameter of pipe in inches 
 
 Velo 
 in f 
 per 
 
 1 
 
 2 
 
 8 
 
 4 
 
 6 
 
 8 
 
 10 
 
 12 
 
 14 
 
 16 
 
 18 
 
 300 
 
 400 
 
 600 
 
 800 
 
 1000 
 
 1200 
 
 1500 
 
 1800 
 
 2400 
 
 0.100 
 0.178 
 0.400 
 0.711 
 1.111 
 1.600 
 2.500 
 3.600 
 6.400 
 
 0.050 
 0.088 
 0.200 
 0.356 
 0.556 
 O.80O 
 1.250 
 1.800 
 3.200 
 
 0.033 
 0.059 
 0.133 
 0.237 
 0.370 
 0.533 
 0.833 
 1.200 
 2.133 
 
 0.025 
 0.044 
 0.100 
 0.178 
 0.278 
 0.400 
 0.625 
 0.900 
 1.60O 
 
 0.017 
 0.030 
 0.067 
 0.119 
 0.185 
 0.267 
 0.417 
 0.600 
 1.067 
 
 0.012 
 0.022 
 0.050 
 0.089 
 0.139 
 0.200 
 0.312 
 0.450 
 0.800 
 
 0.010 
 0.018 
 0.040 
 0.071 
 0.111 
 0.160 
 0.250 
 0.360 
 0.640 
 
 0.008 
 0.015 
 0.033 
 0.059 
 0.092 
 0.133 
 0.208 
 0.300 
 0.533 
 
 0.007 
 0.013 
 0.029 
 0.051 
 0.079 
 0.114 
 0.179 
 0.257 
 0.457 
 
 0.006 
 0.011 
 0.025 
 0.044 
 0.069 
 0.100 
 0.156 
 0.225 
 0.400 
 
 0.006 
 0.010 
 0.022 
 0.040 
 0.062 
 0.089 
 0.139 
 0.200 
 0.356 
 
 
 20 
 
 24 
 
 28 
 
 32 
 
 36 
 
 40 
 
 44 
 
 48 
 
 52 
 
 56 
 
 60 
 
 300 
 
 400 
 
 600 
 
 800 
 
 1000 
 
 1200 
 
 1500 
 
 1800 
 
 2400 
 
 0.005 
 0.009 
 0.020 
 0.036 
 0.056 
 0.080 
 0.125 
 0.180 
 0.320 
 
 0.004 
 0.007 
 0.017 
 0.029 
 0.046 
 0.067 
 0.104 
 0.167 
 0.313 
 
 0.004 
 0.006 
 0.014 
 0.025 
 0.040 
 0.057 
 0.089 
 0.129 
 0.239 
 
 0.003 
 0.006 
 0.012 
 0.022 
 0.035 
 0.050 
 0.078 
 0.112 
 0.200 
 
 0.003 
 0.005 
 0.011 
 0.020 
 0.031 
 0.044 
 0.069 
 0.100 
 0.178 
 
 0.002 
 0.004 
 0.010 
 0.018 
 0.028 
 0.040 
 0.062 
 0.090 
 0.160 
 
 0.002 
 0.004 
 0.009 
 0.016 
 0.025 
 0.036 
 0.057 
 0.082 
 0.145 
 
 0.002 
 0.004 
 0.008 
 0.015 
 0.023 
 0.033 
 0.052 
 0.075 
 0.133 
 
 0.002 
 0.003 
 0.008 
 0.014 
 0.021 
 0.031 
 0.048 
 0.069 
 0.123 
 
 0.002 
 0.003 
 0.007 
 0.013 
 0.020 
 0.029 
 0.045 
 0.064 
 0.119 
 
 0.002 
 0.003 
 0.007 
 0.012 
 0.019 
 0.027 
 0.042 
 0.060 
 0.107 
 
 Diagrams for Pipe Sizes and Friction Heads. 
 
 To illustrate the use of the two following diagrams, ap- 
 ply to the pipe line, B, C, Art. 147. First, let I = 1500 feet, 
 d = 8 inches and v = 5 feet per second. Trace along the 
 velocity line until it intersects the diameter line, then fol- 
 low the ordinate to the top of the page and find the friction 
 head, 13 feet for 1000 foot run or 19.5 feet for the 1500 foot 
 run. Second, let Q = 1.75 cubic feet per second and d = S 
 inches. Trace to the left along the horizontal line represent- 
 ing the volume of 1.75 cubic feet until it Intersects the 
 diameter line, then read up and find the same friction head 
 as before. Third, let the allowable friction head for 1500 
 feet of main be 19 feet, when Q = 1.75 cubic feet per second 
 or when v = 5 feet per second. Reverse the process given 
 above and find an 8 inch pipe. 
 
 367 
 
■aj^op39 dJj l3sj piwnp tJi [ &] JjbavHP^/cr 
 
 m 
 
 OQooooOO ooo omo >or\joco «Din^ cooi 
 
 O 7WPiit>i''— •" ___________ 
 
 in ^J O CD 
 
 6 6 
 
 368 
 
m ^„ 
 
 <D * «^raM 
 
 ~o^co.? ^«S.cj!2»S 
 
 <" « «Mr^». (O'rt't '^ ~<^'^ -" O O O OOO OOO 
 
 
 369 
 
TABLE 43. 
 Temperatures for Testing: Direct Steam Radiation Plants.* 
 
 n 
 
 Test 
 condi- 
 
 Steam 
 Tem- 
 pera- 
 
 
 Steam i 
 
 pressure intended for 
 
 zero 
 
 weather 
 
 
 
 
 
 
 
 
 
 
 
 
 > 
 
 tion 
 
 ture 
 
 lb. 
 
 1 lb. 
 
 2 lb. 
 
 3 lb. 
 
 4 lb. 
 
 5 lb. 
 
 6 lb. 
 
 7 lb. 
 
 8 lb. 
 
 9 lb. 
 
 10 lb. 
 
 o 
 
 10 
 
 in. 
 
 192.0 
 
 63.3 
 
 62.3 
 
 
 
 
 
 
 
 
 
 
 m 
 
 9 
 
 
 194.5 
 
 64.2 
 
 63.2 
 
 62.3 
 
 
 
 
 
 
 
 
 
 a 
 
 8 
 
 
 197.0 
 
 65.0 
 
 64.0 
 
 63.0 
 
 62.2 
 
 
 
 
 
 
 
 
 
 7 
 
 
 199.0 
 
 65.6 
 
 64.7 
 
 63.7 
 
 62.8 
 
 62.0 
 
 
 
 
 
 
 
 "H 
 
 6 
 
 
 201.0 
 
 66.3 
 
 65.3 
 
 64.3 
 
 63.4 
 
 62.6 
 
 62.0 
 
 
 
 
 
 
 
 5 
 
 
 203.0 
 
 67.0 
 
 66.0 
 
 65.0 
 
 64.0 
 
 63.3 
 
 62.6 
 
 61.9 
 
 
 
 
 
 a 
 
 4 
 
 
 205.0 
 
 67.6 
 
 66.6 
 
 65.6 
 
 64.7 
 
 as. 9 
 
 63.2 
 
 62.5 
 
 61.7 
 
 
 
 
 , 
 
 3 
 
 
 207.0 
 
 68.3 
 
 67.2 
 
 66.2 
 
 65.3 
 
 64.5 
 
 63.8 
 
 63.1 
 
 62.3 
 
 61.7 
 
 
 
 en 
 
 2 
 
 
 208.5 
 
 68.8 
 
 67.7 
 
 66.7 
 
 65.7 
 
 65.0 
 
 64.2 
 
 63.6 
 
 62.8 
 
 62.0 
 
 61.5 
 
 
 
 1 
 
 
 210.5 
 
 69.4 
 
 68.3 
 
 67.5 
 
 66.4 
 
 6'). 6 
 
 64.8 
 
 64.2 
 
 63.3 
 
 62.6 
 
 62.1 
 
 61. fl 
 
 
 
 
 lb. 
 
 212.0 
 
 70.0 
 
 68.8 
 
 67.8 
 
 66.9 
 
 66.1 
 
 65.3 
 
 64.6 
 
 63.8 
 
 63.1 
 
 62.6 
 
 62.0 
 
 a 
 
 1 
 
 
 215.5 
 
 71.2 
 
 70.0 
 
 69.0 
 
 68.0 
 
 67.2 
 
 66.3 
 
 65.8 
 
 65.0 
 
 frl.2 
 
 63.7 
 
 63.0 
 
 00 
 
 2 
 
 
 218.7 
 
 72.1 
 
 71.0 
 
 70.0 
 
 69.2 
 
 68.2 
 
 67.3 
 
 66.7 
 
 65.9 
 
 65.1 
 
 64.5 
 
 64.0 
 
 £i 
 
 3 
 
 
 221.7 
 
 
 72.0 
 
 71.0 
 
 70.0 
 
 69.2 
 
 68.3 
 
 67.6 
 
 66.7 
 
 66.0 
 
 65.4 
 
 64.8 
 
 . 
 
 4 
 
 
 224.5 
 
 
 
 71.8 
 
 70.8 
 
 70.0 
 
 69.2 
 
 68.4 
 
 67.5 
 
 66.7 
 
 66.2 
 
 65.7 
 
 s 
 
 00 
 
 5 
 
 
 227.2 
 
 
 
 
 71.7 
 
 70.8 
 
 70.0 
 
 69.2 
 
 68.3 
 
 67.6 
 
 67.0 
 
 66.3 
 
 6 
 
 
 229.8 
 
 
 
 
 
 71.7 
 
 70.8 
 
 70.0 
 
 69.2 
 
 68.4 
 
 67.7 
 
 67.2 
 
 » 
 
 7 
 
 
 232.4 
 
 
 
 
 
 
 71.7 
 
 70.8 
 
 70.0 
 
 69.2 
 
 68.6 
 
 68.0 
 
 a 
 
 8 
 
 
 234.9 
 
 
 
 
 
 
 
 71.7 
 
 70.8 
 
 70.0 
 
 69.3 
 
 68.7 
 
 a> 
 
 9 
 
 
 237.3 
 
 
 
 
 
 
 
 
 71.5 
 
 70.5 
 
 70.0 
 
 69.3 
 
 
 10 
 
 
 239.4 
 
 
 
 
 
 
 
 
 
 71.3 
 
 70.7 
 
 70.0 
 
 Factors 
 
 ".670 
 
 .675 
 
 .678 
 
 .684 
 
 .688 
 
 .692 
 
 .694 
 
 .698 
 
 .702 
 
 .705 
 
 .707 
 
 The temperatures inthis table are for a plant designed for 0° and 70'. 
 
 Example. — It is desired to test a plant designed for 5 pounds gage 
 pressure on a day when the outside temperature is 22 degrees. What 
 should be the temperature in the rooms with steam at 3 pounds gage 
 pressure? It will be noted in the vertical column marked 5 pounds, that 
 opposite the 3 pound pressure 68.3 degrees may be expected on a zero 
 day. As the temperature was 22 degrees above we must add 22 times 
 .692, or 15.2 degrees, thus making a total of 83.5 degrees, the tempera- 
 ture which should exist indoors. 
 
 t. 
 
 *W. W. Macon. 
 
 ^•/o 
 
8i 
 
 
 
 n 
 
 e 
 
 fl 
 
 es 
 
 o 
 
 ae 
 
 fl 
 © 
 
 s 
 
 s 
 
 "S 
 
 a 
 
 9ft 
 
 OS 00 o 
 
 <M C» CO CO 
 
 bo 
 
 C 
 
 a; 
 
 .c 
 
 ;^ 
 
 4) 
 
 S 
 
 s 
 
 (V 
 -t-> 
 02 
 
 a 
 
 
 :^ 
 
 ;f3 
 
 00 CO 
 
 ■^ T-l 
 
 88 
 
 88 
 
 00 o 
 
 (N to i^ eo CO 
 ■* lO •* o 
 
 t^ 00 o i-H 
 
 &q 00 
 
 w in o 
 
 CO 00 C^ rH 
 
 o 
 
 00 00 <0 >-( CO _ 
 CO I 1-1 Cv) 
 
 i« T CO (M 
 
 c^ t^ in 'i in 
 
 (M CO •^ *? in m 
 <>4 c^,-^cg 
 
 CO in © 
 00 00 c^ 00 
 
 in in o 
 
 oco '*'9 in 
 
 e!i r-t 
 
 o CO ■<*<'9 in 
 
 <N ell i-i 
 
 88 
 
 <M 00 O 
 
 oooooo'cj 
 
 88 
 
 (M 05 
 
 88 
 
 05 Ml 
 
 88 
 
 1> rH 
 
 ;f3 
 
 CO t^ 
 
 O 00 
 
 CO CO ■»}( CO 
 
 t> © o 
 
 (M . . . 
 <M t» M t~ 
 
 in CO © 
 
 00 CO © 
 
 in t- CO Ttt 
 
 ■«*< CO © 
 CO • • • 
 
 o> t^ CO 00 
 
 I t-KtH 
 
 I c c 
 
 I ! i 
 
 i ! i 
 
 I ' • 
 
 I g (-1 
 
 I a <u 
 
 
 
 to CO tn (/2 »J 
 
 QJ q^ ^ Q^ QJ 
 
 x: J3 J5 x: J3 
 
 o u u u u 
 
 a a a a a 
 
 I I 
 
 J X « 
 >< o o 
 
 a> 
 
 CS CS 
 
 03 C3 
 
 a c;'t) 
 
 
 •4-1 <t-l 3 <(-l 
 
 ■g O O*-" o 
 
 jr S 0-' N S 
 
 ^_, t- O) o 
 
 "gas 
 
 ;^ *s <t-m-i 
 
 +i 4J to 
 
 O) 
 
 a> 
 
 « .2 c3 .ii 
 
 C S3 cr « 
 
 371 
 
TABLE 45. 
 
 Percentage of Heat Transmitted by Various Plpe-Coverlngrs. 
 
 From Tests Made at Sibley College, Cornell I'niverslty, 
 
 and at Michigan L'niversity.* 
 
 Relative amount 
 Kind of covering of heat 
 
 transmitted 
 
 Naked pipe 100. 
 
 Two layers asbestos paper, 1 in, hair felt, and canvas 
 
 cover 15.2 
 
 Two layers asbestos paper, 1 in. hair felt, canvas 
 
 cover wrapped with manilla paper 15. 
 
 Two layers asbestos paper, 1 in. hair felt 17. 
 
 Hair felt sectional covering, asbestos lined 18.6 
 
 One thickness asbestos board 59.4 
 
 Four thicknesses asbestos paper 50.3 
 
 Two layers asbestos paper^ 77.7 
 
 Wool felt, asbestos lined 23.1 
 
 Wool felt with air spaces, asbestos lined 19.7 
 
 Wool felt, plaster paris lined 25.9 
 
 Asibestos molded, mixed with plaster paris 31.8 
 
 Asbestos felted, pure long fibre 20.1 
 
 Asbestos and sponge 18.8 
 
 Asbestos and wool felt 20.8 
 
 Magnesia, molded, applied in plastic conditnon 22.4 
 
 Magnesia, sectional 18.8 
 
 Mineral wool, sectional 19.3 
 
 Rock wool, fibrous 20.3 
 
 Rock wool, felted 20.9 
 
 Fossil meal, molded, % inch thick 29.7 
 
 Pipe painted with black asphaltum 105.5 
 
 Pipe painted with light drab lead paint 108.7 
 
 Glossy white paint 95.0 
 
 •Carpenter's H. and V. B. 
 
 Note. — These tests agree remarkably well with a series 
 made by Prof. M. E. Cooley of Michigan University, and also 
 with some made by G. M. Brill, Syracuse, N. Y., and reported 
 in Transactions of the American Society of Mechanical En- 
 gineers, vol. XVI. 
 
 %T% 
 
TABLE 46. 
 Factors of Evaporation. 
 
 Gage 
 
 1 
 .3 
 
 10 
 
 20. 
 
 SO 
 
 50 
 
 100 
 
 125 
 
 135 
 
 150 
 
 175 
 
 pressure 
 
 
 
 
 
 
 
 
 
 
 
 Feed 
 water 
 
 Factors of evaporation 
 
 212 
 
 1.0003 
 
 1.0103 
 
 1.0169 
 
 1.0218 
 
 1.0290 1.0396 
 
 1.0431 
 
 1.0443 
 
 1.0460 
 
 1.0481 
 
 200 
 
 1.0127 
 
 1.0227 
 
 1.0293 
 
 1.0343 
 
 1.0414 
 
 1.0520 
 
 1.0555 
 
 1.0567 
 
 1.0584 
 
 1.0608 
 
 185 
 
 1.0282 
 
 1.0382 
 
 1.0448 
 
 1.0498 
 
 1.0569 
 
 1.0675 
 
 1.0710 
 
 1.0722 
 
 1.0739 
 
 1.0763 
 
 170 
 
 1.0437 
 
 1.0537 
 
 1.0603 
 
 1.0653 
 
 1.0724 
 
 1.0830 
 
 1.0865 
 
 1.0877 
 
 1.0894 
 
 1.0917 
 
 155 
 
 1.0592 
 
 1.0692 
 
 1.0758 
 
 1.0807 
 
 1.0878 
 
 1.0985 
 
 1.1020 
 
 1.1032 
 
 1.1048 
 
 1.1072 
 
 140 
 
 1.0715 
 
 1.0846 
 
 1.0912 
 
 1.0962 
 
 1.1033 
 
 1.1139 
 
 1.1174 
 
 1 1186 
 
 1.1203 
 
 1.1227 
 
 125 
 
 1.0901 
 
 1.1001 
 
 1.1067 
 
 1.1116 
 
 1.1187 
 
 1.1293 
 
 1.1328 
 
 1 1341 
 
 1 1357 
 
 1.1381 
 
 110 
 
 1.1055 
 
 1.1155 
 
 1.1221 
 
 1.1270 
 
 1.1341 
 
 1.1447 
 
 1.1482 
 
 1 1495 
 
 1 1511 
 
 1.1535 
 
 95 
 
 1.1209 
 
 1.1309 
 
 1.1.375 
 
 1.1424 
 
 1.1495 
 
 1.1602 
 
 1.1637 
 
 1.1649 
 
 1 . 1665 
 
 1.1689 
 
 80 
 
 1,1363 
 
 1.1463 
 
 1.1529 
 
 1.1578 
 
 1.1650 
 
 1.1756 
 
 1.1791 
 
 1.1803 
 
 1.1820 
 
 1.1843 
 
 65 
 
 1.1517 
 
 1.1617 
 
 1.1683 
 
 1.1733 
 
 1.1804 
 
 1.1910 
 
 1.1945 
 
 1.1957 
 
 1.1974 
 
 1.1997 
 
 50 
 
 1.1672 
 
 1.1772 
 
 1.1838 
 
 1.1887 
 
 1.1958 
 
 1.2064 
 
 1.2099 
 
 1.2112 
 
 1.2128 
 
 1.2152 
 
 35 
 
 1.1827 
 
 1.1927 
 
 1.1993 1.2042 1.2113 
 
 1.2219 
 
 1.2255 
 
 1.2267 
 
 1.2283 
 
 1.2307 
 
 TABLE 47. 
 
 Per Cent, of Total Heat of Steam Saved per Degrree Increase 
 
 of Feed W^ater. 
 
 Initial 
 
 
 Gage pressure 
 
 in boiler, lbs. per sq. in. 
 
 
 temp, 
 of feed 
 
 
 
 
 
 
 
 
 
 
 
 
 
 20 
 
 40 
 
 60 
 
 80 
 
 ICO 
 
 120 
 
 140 
 
 160 
 
 180 
 
 32 
 
 .0872 
 
 .0861 
 
 .0855 
 
 .0851 
 
 .0847 
 
 .0844 
 
 .0841 
 
 .0839 
 
 .0837 
 
 .0835 
 
 40 
 
 .0878 
 
 .0867 
 
 .0861 
 
 .0856 
 
 .0853 
 
 .0850 
 
 .0847 
 
 .0845 
 
 .0843 
 
 .0839 
 
 50 
 
 .0886 
 
 .0875 
 
 .0868 
 
 .0864 
 
 .0860 
 
 .0857 
 
 .0854 
 
 .0852 
 
 .0850 
 
 .0846 
 
 60 
 
 .0894 
 
 .0883 
 
 .0876 
 
 .0872 
 
 .0867 
 
 .0864 
 
 .0862 
 
 .0859 
 
 .0856 
 
 .0853 
 
 70 
 
 .0902 
 
 .0890 
 
 .0884 
 
 .0879 
 
 .0875 
 
 .0872 
 
 .0869 
 
 .0867 
 
 .0864 
 
 .0860 
 
 80 
 
 .0910 
 
 .0898 
 
 .0891 
 
 .0887 
 
 .0883 
 
 .0879 
 
 .0877 
 
 .0874 
 
 .0872 
 
 .0868 
 
 100 
 
 .0927 
 
 .0915 
 
 .0908 
 
 .0903 
 
 .0899 
 
 .0895 
 
 .0892 
 
 .0890 
 
 .0887 
 
 .0883 
 
 120 
 
 .0945 
 
 .0932 
 
 .0925 
 
 .0919 
 
 .0915 
 
 .0911 
 
 .09:18 
 
 .0906 
 
 .0903 
 
 .0899 
 
 140 
 
 .0963 
 
 .0950 
 
 .0943 
 
 .0937 
 
 .0932 
 
 .0929 
 
 .0925 
 
 .0923 
 
 .0920 
 
 .0916 
 
 160 
 
 .0982 
 
 .0968 
 
 .0961 
 
 .0955 
 
 .0950 
 
 .0946 
 
 .0943 
 
 .0940 
 
 .0937 
 
 .0933 
 
 180 
 
 .1002 
 
 .0988 
 
 .0981 
 
 .0973 
 
 .0969 
 
 .0965 
 
 .0961 
 
 .0958 
 
 .0955 
 
 .0951 
 
 200 
 
 .1022 
 
 .1008 
 
 .0999 
 
 .0993 
 
 .0988 
 
 .0984 
 
 .0980 
 
 .0977 
 
 .0974 
 
 .0969 
 
 220 
 
 
 .1029 
 
 .1019 
 
 .1013 
 
 .1008 
 
 .1004 
 
 .1000 
 
 .0997 
 
 .0994 
 
 .0989 
 
 .240 
 
 
 .1050 
 
 .1041 
 
 .1034 
 
 .1029 
 
 .1024 
 
 .1020 
 
 .1017 
 
 .1014 
 
 .1009 
 
 Example.— Boiler pressure 120 lbs. gage, initial temperature of feed 
 water 60 deg., heated to 210 deg. Then increase in temperature 150, 
 times tabular figure, .0862, equals 12.93 per cent, saving. 
 
 373 
 
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 eoBjjns 
 
 Sui)Bdq }0 
 
 aaaj ajBnbg 
 
 •^ O 00 O (M •«»• 
 
 CO c; la cvi 00 ■«»« 
 
 eoooon-'Kcooocc-i'rcooo 
 
 ■*-«nio»cct-ooooo»OJO 
 
 rH 
 
 1-^ i-H e^ CO CO •»!« ■<*< 
 
 oj o r^ u-s c^ c 
 
 t^ ITS w o r^ 
 
 o <N o r- la OJ C 
 
 u'5tptOI^OOC5ClO'-iCJ<MCO-^iai.'5 0I^OO 
 
 t^QOOCi—c-jeo'.TCor^occio — (Mco'f'i?: 
 
 r-li-ci-(i-iMi-i^.-ii-l(NC^C^e^CMC^l 
 
 saqain m 
 ^OB)S pjBpuB^s 
 10 mPJM I 
 
 3[aB)3 UI 
 
 sdooi JO 'OX 
 
 00 -^ -^iO a • 
 
 So ® 
 • *" S 
 
 '^ a> 3 
 
 c " « 
 
 1^ «QQ 
 
 SQ 
 
 O 
 
 4) o « n 
 
 lOtocot^XCiCso — (>4coco-*iacc:£t^Xj "St, 
 
 o3^ £ 08 
 
 « = = ?;-S 
 
 'x: 03 
 
 S o3i: 3 - 
 
 *» c - jaTJ 
 
 Q S O 2 ® 
 
 bfl ,— « , gj 
 
 o '-^ »-■ a to 
 T3 ■? 03 C ^ 
 
 boS c-« o 
 fcic a « „ 
 
 ■<-> U QQ r< '^ 
 
 » a o*j 
 
 cj <y «♦-. H 
 C 03 V C 
 "~ Ona""" 08 
 
 .i<i:— - . 
 
 ei >>-— -^ 
 
 « c .^ a g 
 
 O 83 3 5 
 
 « k^ 
 
 .-3 u t: » « 
 
 •5 « a:S . 
 
 1 5 0.6-^ 
 
 « c-^S • 
 
 *; .'^ - G ffl 
 
 c; 
 
 ♦J s O 
 
 374 
 
 ...^^ 
 
TABLE 49. 
 
 Steatn Consuiuption of Various Types of Non-Condensing 
 Engines.* (Approximate). 
 
 Pounds per indicated horse-power hour. 
 
 
 i-s 
 
 ■ en 
 
 en 
 
 OD 
 
 
 m 
 
 tn 
 
 
 
 Simple thr( 
 tling 100 It 
 at throttle 
 
 Simple aut 
 matic 100 1 
 initial 
 
 Simple Cor 
 100 lbs. 
 initial 
 
 Simple f oui 
 valve 100 
 lbs. initial 
 
 Compound 
 four valve 
 and Corlis 
 100 lbs. 
 initial 
 
 Compound 
 four valve 
 and Corlis 
 125 lbs. 
 initial 
 
 Compound 
 four valve 
 and Corlisi 
 150 lbs. 
 initial 
 
 10 
 
 52 
 
 
 
 
 
 
 
 20 
 
 50 
 
 40.0 
 
 
 
 
 
 
 30 
 
 49 
 
 39.0 
 
 
 
 
 
 
 40 
 
 48 
 
 38.0 
 
 
 
 
 
 
 50 
 
 48 
 
 38.0 
 
 34.5 
 
 35.0 
 
 
 
 
 60 
 
 47 
 
 36.0 
 
 32.5 
 
 33.0 
 
 
 
 
 70 
 
 47 
 
 35.0 
 
 31.5 
 
 32.0 
 
 
 
 
 80 
 
 46 
 
 34.0 
 
 30.5 
 
 31.0 
 
 
 
 
 90 
 
 45 
 
 33.0 
 
 29.5 
 
 30.0 
 
 
 
 
 100 
 
 45 
 
 32.0 
 
 28.5 
 
 29.0 
 
 
 
 
 150 
 
 44 
 
 31.5 
 
 28.0 
 
 28.5 
 
 22.5-23 
 
 21.5-22 
 
 21-21.5 
 
 200 
 
 43 
 
 30.5 
 
 27.0 
 
 27.5 
 
 22-22.5 
 
 21-21.5 
 
 90.5-21 
 
 250 
 
 43 
 
 30.0 
 
 26.5 
 
 27.0 
 
 22-22.5 
 
 21-21.5 
 
 20-20.5 
 
 300 
 
 42 
 
 29.0 
 
 25.5 
 
 26.0 
 
 22-22.5 
 
 20.5-21 
 
 20-20.5 
 
 400 
 
 41 
 
 28.5 
 
 25.0 
 
 25.5 
 
 21.5-22 
 
 20-20.5 
 
 19.5-20 
 
 500 
 
 41 
 
 28.5 
 
 25.0 
 
 25.5 
 
 20-21.5 
 
 19.5-20 
 
 10-19.5 
 
 The foregoing table was compiled principally from the records of a 
 large number of actual tests of engines of various makes, under reason- 
 ably favorable conditions. It is based upon the actual weight of eoT 
 densed exhaust steam. 
 
 *Atlas Engine Works Catalog. 
 
 879 
 
 ^ 
 
TABLE 50. 
 
 Speedn, Capacltlen and HorNe-Powern of "Green" Steel Plate 
 
 FnnM at Varying Pressures.* 
 
 s-s 
 
 
 .26 in. 
 
 .87 in. 
 
 1.3 in. 
 
 1.7 in. 
 
 2.2 in.|2.6 in. 
 
 3.02 in. 
 
 3.46 in. 
 
 4.33 in. 
 
 « a 
 
 Pressures 
 
 
 
 
 
 
 
 
 
 5l 
 
 V* oz. 
 
 ^^ oz. 
 
 % oz. 
 
 1 oz. 
 
 1^ oz V/ii oz 
 
 1% oz. 
 
 2 oz. 
 
 2V^ oz. 
 
 
 CU. FT. 
 
 2249 
 
 3176 
 
 3891 
 
 4498 
 
 5029 
 
 5513 
 
 5956 
 
 6372 
 
 7135 
 
 30 
 
 R. P. M. 
 
 S.SO 
 
 466 
 
 571 
 
 660 
 
 738 
 
 809 
 
 874 
 
 9;?5 
 
 1047 
 
 
 H. P. 
 
 .286 
 
 .811 
 
 1.491 
 
 2.298 
 
 3.213 
 
 4.227 
 
 5.311 
 
 6.515 
 
 9.120 
 
 
 CU. FT. 
 
 3239 
 
 4581 
 
 5605 
 
 6477 
 
 7242 
 
 7937 
 
 8584 
 
 9173 
 
 10268 
 
 36 
 
 R. P. M. 
 
 275 
 
 389 
 
 476 
 
 550 
 
 615 
 
 674 
 
 729 
 
 779 
 
 872 
 
 
 H. P. 
 
 .413 
 
 1.170 
 
 2.148 
 
 3.311 
 
 4.625 
 
 6.086 
 
 7.681 
 
 9.375 
 
 13.125 
 
 
 CU. FT. 
 
 4398 
 
 6214 
 
 7617 
 
 8815 
 
 9864 
 
 10799 
 
 11679 
 
 124&3 
 
 13981 
 
 42 
 
 R. P. M. 
 
 23.") 
 
 332 
 
 407 
 
 471 
 
 527 
 
 577 
 
 624 
 
 667 
 
 747 
 
 
 H. P. 
 
 .557 
 
 1.576 
 
 2.898 
 
 5.473 
 
 6.300 
 
 8.287 
 
 10.450 
 
 12.750 
 
 17.825 
 
 
 CU. FT. 
 
 5750 
 
 8123 
 
 9937 
 
 11500 
 
 12867 
 
 14123 
 
 15240 
 
 16301 
 
 18282 
 
 48 
 
 R. P. M. 
 
 206, 
 
 291 
 
 356 
 
 412 
 
 461 
 
 506 
 
 546 
 
 584 
 
 655 
 
 
 H. P. 
 
 .733 
 
 2.076 
 
 3.810 
 
 5.880 
 
 8.223 
 
 10.832 
 
 13.636 
 
 16.670 
 
 23.370 
 
 
 CU. FT. 
 
 7602 
 
 10758 
 
 13167 
 
 15203 
 
 17030 
 
 18650 
 
 20145 
 
 21558 
 
 24174 
 
 54 
 
 R. P. M. 
 
 183 
 
 259 
 
 317 
 
 366 
 
 410 
 
 449 
 
 485 
 
 519 
 
 582 
 
 
 H. P. 
 
 .970 
 
 2.750 
 
 5.047 
 
 7.767 
 
 10.880 
 
 14.300 
 
 18.017 
 
 21.992 
 
 30.896 
 
 
 CU. FT. 
 
 9715 
 
 13718 
 
 16780 
 
 19429 
 
 21725 
 
 23786 
 
 25728 
 
 27495 
 
 3079-2 
 
 60 
 
 R. P. M. 
 
 165 
 
 233 
 
 2S5 
 
 330 
 
 369 
 
 404 
 
 437 
 
 467 
 
 523 
 
 
 H. P. 
 
 1.241 
 
 3.506 
 
 6.433 
 
 9.932 
 
 13.882 
 
 18.230 
 
 22.996 
 
 28.077 
 
 39.355 
 
 
 Cr. FT. 
 
 12078 
 
 17071 
 
 20855 
 
 24156 
 
 26975 
 
 29551 
 
 32047 
 
 34221 
 
 38247 
 
 66 
 
 R. P. M. 
 
 150 
 
 212 
 
 259 
 
 300 
 
 335 
 
 367 
 
 398 
 
 425 
 
 475 
 
 
 H. P. 
 
 1.542 
 
 4.361 
 
 7.996 
 
 12.352 
 
 17.238 
 
 22.666 
 
 28.675 
 
 35.123 
 
 48.895 
 
 
 CU. FT. 
 
 15608 
 
 21942 
 
 26918 
 
 31103 
 
 34835 
 
 38115 
 
 41169 
 
 44109 
 
 49312 
 
 72 
 
 R. P. M. 
 
 1,38 
 
 194 
 
 238 
 
 275 
 
 308 
 
 337 
 
 364 
 
 390 
 
 436 
 
 
 H. P. 
 
 1.983 
 
 5.601 
 
 10.322 
 
 15.881 
 
 22.252 
 
 29.223 
 
 36.808 
 
 45.043 
 
 62.783 
 
 
 CU. FT. 
 
 20192 
 
 28405 
 
 34907 
 
 40383 
 
 45174 
 
 49452 
 
 53387 
 
 57152 
 
 63996 
 
 84 
 
 R. P. M. 
 
 118 
 
 166 
 
 204 
 
 236 
 
 264 
 
 289 
 
 312 
 
 334 
 
 374 
 
 
 H. P. 
 
 2.. 581 
 
 7.262 
 
 13.387 
 
 20.650 
 
 28.875 
 
 37.931 
 
 47.775 
 
 58.450 
 
 81.812 
 
 
 CU. FT. 
 
 23008 
 
 32614 
 
 39762 
 
 46016 
 
 51601 
 
 56515 
 
 60983 
 
 65227 
 
 73045 
 
 96 
 
 R. P. M. 
 
 103 
 
 146 
 
 178 
 
 206 
 
 231 
 
 253 
 
 273 
 
 292 
 
 327 
 
 
 H. P. 
 
 2.941 
 
 8.337 
 
 15.261 
 
 23.531 
 
 32.982 
 
 43.348 
 
 54.511 
 
 66.707 
 
 93.380 
 
 
 CU. FT. 
 
 29260 
 
 41027 
 
 50568 
 
 58519 
 
 65198 
 
 71559 
 
 77284 
 
 82690 
 
 92549 
 
 108 
 
 R. P. M. 
 
 92 
 
 129 
 
 159 
 
 184 
 
 205 
 
 225 
 
 243 
 
 260 
 
 291 
 
 
 H. P. 
 
 3.737 
 
 10.488 
 
 19.397 
 
 30.060 
 
 41.666 
 
 54.871 
 
 69.163 
 
 84.556 
 
 118.291 
 
 
 CU. FT. 
 
 36209 
 
 51042 
 
 62384 
 
 71982 
 
 80270 
 
 88559 
 
 95539 
 
 102063 
 
 114298 
 
 120 
 
 R. P. M. 
 
 83 
 
 117 
 
 143 
 
 165 
 
 184 
 
 203 
 
 219 
 
 234 
 
 262 
 
 
 H. P. 
 
 4.628 
 
 13.050 
 
 23.925 
 
 36.807 
 
 51.307 
 
 67.928 
 
 85.495 
 
 104.401 
 
 146.116 
 
 
 CU. FT. 
 
 43560 
 
 61565 
 
 75504 
 
 87120 
 
 97575 
 
 106868 
 
 115580 
 
 123711 
 
 138231 
 
 132 
 
 R. P. M. 
 
 75 
 
 106 
 
 130 
 
 150 
 
 168 
 
 184 
 
 199 
 
 213 
 
 238 
 
 
 H. P. 
 
 5.568 
 
 15.730 
 
 28.957 
 
 44.550 
 
 62.370 
 
 82.096 
 
 103.430 
 
 126.521 
 
 176.715 
 
 
 CU. FT. 
 
 52026 
 
 73138 
 
 89726 
 
 103298 
 
 116116 
 
 127426 
 
 137228 
 
 147030 
 
 164372 
 
 >44 
 
 R. P. M. 
 
 69 
 
 97 
 
 119 
 
 137 
 
 154 
 
 169 
 
 182 
 
 195 
 
 218 
 
 
 H. P. 
 
 6.65 
 
 18.700 
 
 34.411 
 
 52.822 
 
 74.221 
 
 97.741 
 
 1?" 802 
 
 150.3"> 
 
 ♦ 
 
 210.133 
 
 Manufacturer's Note.— The horse-power required to drive a fan will 
 vary according to the manner of application. The horse-powers given 
 above are 25 per cent, greater than would be required under ideal con- 
 ditions. 
 
 k 
 
TABLE 51. 
 
 Speeds, Capacities and Horse-Powers of "A. B. C.*' Steel 
 Plate Fans at Varying Pressures.* 
 
 t4 
 
 <a 3 
 
 o 
 Q is 
 
 Static 
 press. 
 
 V2'' 
 
 1" 
 
 IVz" 
 
 2" 
 
 2V2'' 
 
 3* 
 
 Si/^" 
 
 4" 
 
 .29 
 oz. 
 
 .58 
 oz. 
 
 .87 
 oz. 
 
 1.16 
 OZ. 
 
 1.44 
 OZ. 
 
 1.73 
 
 OZ. 
 
 2.02 
 OZ. 
 
 2.31 
 OZ. 
 
 50 
 
 30 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 3840 
 471 
 .88 
 
 5425 
 
 665 
 
 2.48 
 
 6640 
 
 816 
 
 4.55 
 
 7650 
 
 945 
 
 7.00 
 
 8595 
 1060 
 9.81 
 
 9400 
 
 1150 
 
 12.85 
 
 10110 
 
 1250 
 
 16.20 
 
 10810 
 
 1330 
 
 19.75 
 
 60 
 
 36 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 5475 
 
 893 
 
 1.25 
 
 7740 
 
 555 
 
 3.53 
 
 9460 
 
 681 
 
 6.49 
 
 10900 
 
 786 
 
 9.94 
 
 12250 
 
 880 
 
 14.00 
 
 13400 
 
 961 
 
 18.35 
 
 14410 
 
 1040 
 
 23.10 
 
 15420 
 
 1110 
 
 28.10 
 
 70 
 
 42 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 7100 
 
 336 
 
 1.62 
 
 10020 
 
 475 
 
 4.58 
 
 12280 
 
 583 
 
 8.35 
 
 14150 
 
 675 
 
 12.93 
 
 17200 
 
 590 
 
 15.71 
 
 15900 
 
 755 
 
 18.19 
 
 17400 
 
 825 
 
 23.80 
 
 18700 
 
 890 
 
 29.90 
 
 20010 
 
 950 
 
 36.60 
 
 80 
 
 48 
 
 C. P. M. 
 R. P. M. 
 B. H. P. 
 
 8640 
 
 294 
 
 1.97 
 
 12200 
 
 416 
 
 5.57 
 
 14950 
 
 511 
 
 10.20 
 
 19350 
 
 660 
 
 22.10 
 
 21150 
 
 722 
 28.90 
 
 22800 
 
 780 
 
 36.50 
 
 29000 
 
 693 
 
 46.40 
 
 24350 
 
 832 
 
 44.50 
 
 90 
 
 54 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 11000 
 
 262 
 
 2.52 
 
 15540 
 
 370 
 
 7.08 
 
 19000 
 
 454 
 
 13.00 
 
 21900 
 
 525 
 
 20.00 
 
 24600 
 
 587 
 
 28.10 
 
 26950 
 
 641 
 
 36.85 
 
 31000 
 
 740 
 
 56.50 
 
 100 
 
 60 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 14050 
 
 236 
 
 3.21 
 
 19850 
 
 333 
 
 9.05 
 
 24300 
 
 409 
 
 16.65 
 
 28000 
 
 473 
 
 25.60 
 
 31450 
 
 529 
 
 35.95 
 
 34400 
 
 578 
 
 47.10 
 
 37000 
 
 625 
 
 59.10 
 
 39600 
 
 665 
 
 72.30 
 
 110 
 
 66 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 16600 
 
 214 
 
 3.80 
 
 2350O 
 
 303 
 
 10.75 
 
 28800 
 
 371 
 
 19.70 
 
 33100 
 
 430 
 
 30.25 
 
 37200 
 
 480 
 
 42.50 
 
 40700 
 
 525 
 
 55.60 
 
 43800 
 
 568 
 
 70.00 
 
 46900 
 
 605 
 
 85.60 
 
 120 
 
 72 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 20300 
 
 196 
 
 4.64 
 
 28700 
 
 278 
 
 13.10 
 
 3510O 
 
 340 
 
 24.00 
 
 40500 
 
 394 
 
 37.00 
 
 45500 
 
 440 
 
 52.00 
 
 49700 
 
 481 
 
 68.00 
 
 53500 57300 
 
 520 555 
 
 85.50104.50 
 
 140 
 
 84 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 27400 
 
 168 
 
 6.25 
 
 38700 
 
 238 
 
 17.75 
 
 47400 
 
 292 
 
 32.40 
 
 54500 
 
 337 
 
 49.80 
 
 61300 
 
 378 
 
 70.00 
 
 67000 
 
 413 
 
 91.70 
 
 72200 
 
 445 
 
 115.20 
 
 77250 
 
 475 
 
 140.9 
 
 ' 160 
 
 96 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 34500 
 
 147 
 
 7.88 
 
 48900 
 
 208 
 
 22.30 
 
 59800 
 
 256 
 
 41.00 
 
 68900 
 
 296 
 
 62.90 
 
 77300 
 
 331 
 
 88.40 
 
 84500 
 
 362 
 
 115.5 
 
 91000 
 
 390 
 
 145.4 
 
 97500 
 
 416 
 
 178.0 
 
 180 
 
 108 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 42600 
 
 131 
 
 9.75 
 
 60300 
 
 185 
 
 27.55 
 
 73800 
 
 227 
 
 50.50 
 
 85000 
 
 262 
 
 77.60 
 
 95500 
 
 293 
 
 109.0 
 
 104300 
 
 320 
 
 143.0 
 
 112500 
 
 346 
 
 180.0 
 
 120003 
 
 369 
 
 219.0 
 
 200 
 
 120 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 51600 
 
 118 
 
 11.8 
 
 73000 
 
 166 
 
 33.30 
 
 89400 
 
 204 
 
 61.20 
 
 103000 
 
 236 
 
 93.50 
 
 115700 
 
 264 
 
 132.1 
 
 126500 
 
 289 
 
 173.0 
 
 136100 
 312 
 
 217.50 
 
 145800 
 
 332 
 
 266.0 
 
 220 
 
 132 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 61400 
 
 107 
 
 14.0 
 
 8680O 
 
 151 
 
 39.60 
 
 106000 
 
 185 
 
 72.50 
 
 122200 
 
 214 
 
 111.50 
 
 137400 
 
 240 
 
 157.0 
 
 150200 
 
 262 
 
 206.0 
 
 162000 
 
 283 
 
 259.0 
 
 173000 
 
 302 
 
 316.0 
 
 240 
 
 144 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 72000 
 
 98 
 
 16.5 
 
 101800 
 
 139 
 
 46.50 
 
 124500 
 
 170 
 
 85.00 
 
 143500 
 
 197 
 
 131.00 
 
 161000 
 
 220 
 
 184.0 
 
 176000 
 
 241 
 
 241.0 
 
 189500 
 
 260 
 
 303.0 
 
 203000 
 
 377 
 
 370.5 
 
 Manufacturer's Note.— Any of the above fans, when running at the 
 speed and pressure indicated, will deh'ver the volume of air and require 
 no more power than given in the table. 
 
 Allowances must be made for the inefficiency of the motive power 
 and for transmission losses between motive power and the fan. 
 
 *Condensed from the A. B. C. Co. Catalog. 
 
 377 
 
TABLE 52. 
 
 Speeds, Capacities and Horne-PoTvers of <<Slrocco** Fans at 
 Varying Pressures.* 
 
 u 
 
 
 Pressures 
 
 in. 
 
 1 
 in. 
 
 in. 
 
 in. 
 
 2 
 in. 
 
 2V6 
 In. 
 
 3 
 
 in. 
 
 3% 
 in. 
 
 4 
 
 in. 
 
 a - 
 
 .43 
 oz. 
 
 .58 
 oz. 
 
 .72 
 oz. 
 
 .87 
 oz. 
 
 1.16 
 oz. 
 
 1.44 
 oz. 
 
 1.73 
 oz. 
 
 2.02 
 oz. 
 
 2.31 
 oz. 
 
 4 
 
 24 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 4260 
 391 
 .879 
 
 4920 
 
 453 
 
 1.348 
 
 5500 
 
 505 
 
 1.89 
 
 6020 
 
 554 
 
 2.475 
 
 6945 
 640 
 3.8 
 
 7770 
 
 714 
 
 5.32 
 
 8520 
 
 783 
 
 7.00 
 
 9200 
 
 846 
 
 8,825 
 
 9840 
 
 905 
 
 10.77 
 
 5 
 
 30 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 6650 
 
 313 
 
 1.37 
 
 7690 
 
 362 
 
 2.105 
 
 8600 
 
 403 
 
 2.96 
 
 9416 
 
 443 
 
 3.868 
 
 10870 
 
 512 
 
 5.95 
 
 12150 
 
 571 
 
 8.315 
 
 13320 
 
 625 
 
 10.94 
 
 14380 
 
 676 
 
 13.80 
 
 15380 
 
 724 
 
 16.85 
 
 6 
 
 36 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 9580 
 
 260 
 
 1.975 
 
 11060 
 
 302 
 
 3.03 
 
 12350 
 
 336 
 
 4.25 
 
 13540 
 
 369 
 
 5.563 
 
 15630 
 
 427 
 
 8.56 
 
 17470 
 
 477 
 
 11.96 
 
 19150 
 
 523 
 
 15.72 
 
 206S0 
 
 565 
 
 19.85 
 
 22150 
 
 604 
 
 24.23 
 
 7 
 
 42 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 13050 
 
 223 
 
 2.69 
 
 15070 
 
 259 
 
 4.126 
 
 16800 
 
 288 
 
 5.78 
 
 18425 
 
 316 
 
 7.565 
 
 21260 
 
 366 
 
 11.66 
 
 23800 
 
 408 
 
 16.28 
 
 26100 
 
 447 
 
 21.43 
 
 28200 
 
 483 
 
 27.06 
 
 30140 
 
 517 
 
 33 
 
 I 
 *» 48 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 17000 
 
 196 
 
 3.51 
 
 19700 
 
 226 
 
 5.39 
 
 22000 
 
 252 
 
 •7.58 
 
 24100 
 277 
 9.9 
 
 27820 
 
 320 
 
 15.22 
 
 31100 
 
 358 
 
 21.30 
 
 34080 
 
 392 
 
 28.0 
 
 36800 
 
 424 
 
 35.3 
 
 39370 
 
 453 
 
 43.15 
 
 9 
 
 54 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 21500 
 
 174 
 
 4.43 
 
 24860 
 
 201 
 
 6.81 
 
 27800 
 
 224 
 
 9.57 
 
 30440 
 
 246 
 
 12.52 
 
 35140 
 
 285 
 
 19.23 
 
 39300 
 
 317 
 
 26.94 
 
 43100 
 
 348 
 
 35.38 
 
 46600 49803 
 
 376 402 
 
 44.70 54.5 
 
 10 
 
 60 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 26500 
 
 156 
 
 5.46 
 
 30750 
 
 181 
 
 8.42 
 
 34300 
 
 202 
 
 11.8 
 
 37650 
 
 222 
 
 15.47 
 
 43400 
 
 256 
 
 23.77 
 
 48570 
 
 286 
 
 33.23 
 
 53220 
 
 313 
 
 43.72 
 
 57500 
 
 338 
 
 55.2 
 
 61500 
 
 362 
 
 67.4 
 
 1 
 
 66 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 32200 
 
 142 
 
 6.65 
 
 37200 
 
 165 
 
 10.18 
 
 41500 
 
 184 
 
 14.3 
 
 45530 
 
 202 
 
 18.72 
 
 52550 
 
 233 
 
 28.77 
 
 58830 
 
 260 
 
 40.24 
 
 64450 
 
 285 
 
 52.9 
 
 69630 
 
 308 
 
 66.85 
 
 74400 
 329 
 
 81.5 
 
 12 
 
 C. F. M. 
 
 72 R. P. M. 
 
 B. H. P. 
 
 38300 
 130 
 7.9 
 
 44240 
 
 151 
 
 12.11 
 
 49400 
 
 168 
 
 17 
 
 54180 
 
 185 
 
 22.25 
 
 62500 
 
 214 
 
 34.2 
 
 69900 
 
 238 
 
 47.85 
 
 76600 
 
 261 
 
 63 
 
 82800 
 
 282 
 
 79.5 
 
 885f)0 
 
 302 
 
 97 
 
 13 
 
 78 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 45000 
 
 120 
 
 9.28 
 
 52000 
 
 140 
 
 14.22 
 
 58100 
 
 155 
 
 20 
 
 63600 
 
 171 
 
 26.16 
 
 735(X) 
 
 197 
 
 40.22 
 
 82100 
 
 220 
 
 56.2 
 
 90000 
 
 241 
 
 74 
 
 97300 
 
 261 
 
 93.35 
 
 104000 
 
 279 
 
 113.9 
 
 14 
 
 84 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 52100 
 
 112 
 
 10.75 
 
 60200 
 
 130 
 
 16.49 
 
 67300 
 
 144 
 
 23.2 
 
 73700 
 
 158 
 
 30.3 
 
 85000 
 
 183 
 
 46.6 
 
 95000 
 
 204 
 
 65 
 
 104200,112700 
 
 224 24-2 
 
 85.61 108 
 
 12041X) 
 259 
 132 
 
 15 
 
 90 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 59900 
 
 104 
 
 12.34 
 
 69230 
 
 121 
 
 18.93 
 
 77500 
 
 135 
 
 26.6 
 
 84700 
 
 148 
 
 34.8 
 
 97800 
 
 171 
 
 53.55 
 
 109200 
 
 191 
 
 74.9 
 
 119800129600 
 
 209 226 
 
 98.5 124.2 
 
 138500 
 
 242 
 
 151.7 
 
 16 
 
 96 
 
 C. F. M. 
 R. P. M. 
 B. H. P. 
 
 67950 
 
 98 
 
 13.98 
 
 78430 
 
 114 
 
 21.5 
 
 81800 
 
 126 
 
 30.2 
 
 96140 
 
 139 
 
 39.6 
 
 114300 
 
 160 
 
 63 
 
 124500 
 
 178 
 
 85.7 
 
 136000 
 196 
 112 
 
 147000 
 211 
 142 
 
 157300 
 226 
 173 
 
 'Condensed from A. B. C. Co. Catalog. 
 
 378 
 
APPENDIX II 
 
 References used Chiefly in Refrigeration 
 and Ice Production 
 
 379 
 
TABLE 53. 
 Freezing; Mixtures.* 
 
 Names and proportions of ingredients 
 in parts 
 
 Reduction of 
 temp. deg. F. 
 
 Prom To 
 
 Total 
 Reduc- 
 tion of 
 temp, 
 deg. P. 
 
 Snow or pounded ice 2; sodium chloride 1 
 
 Snow 5; sodium chloricle 2; ammonium chloride 1 
 Snow 12; sodium chloride 5; ammonium nitrate 5 
 
 Snow 8; calcium chloride 5 
 
 Snow 2; sodium chloride 1 
 
 Snow 3; dilute sulphuric acid 2 
 
 Snow 3; hydrochloric acid 5 
 
 Snow 7; dilute nitric acid 4 
 
 Snow 3; potassium 4 
 
 Ammonium chloride 5; potassium nitrate 5; 
 
 water 16 
 
 Ammonium nitrate 1; water 1 
 
 Ammonium chloride 5; potassium nitrate 5; 
 
 sodium sulphate 8; water 16 
 
 Sodium sulphate 5; dil. sulphuric acid 4 
 
 Sodium nitrate 3; dil. nitric acid 2 
 
 Ammonium nitrate 1; sodium carbonate 1; 
 
 water 1 •_._ 
 
 Sodium sulphate 6; ammonium chloride 4; 
 
 potassium nitrate 2; dil. nitric acid 4 
 
 Sodium phosphate 9; dil. nitric acid 4 
 
 Sodium sulphate 6; ammonium nitrate 5; 
 
 dil. nitric acid 4 
 
 -t-32 
 
 +32 
 +32 
 +32 
 +32 
 
 +50 
 +50 
 
 +50 
 + 50 
 +50 
 
 +50 
 
 + 50 
 +50 
 
 +50 
 
 — 5 
 —12 
 —25 
 —10 
 
 — 5 
 —23 
 —27 
 —30 
 —51 
 
 — 3 
 
 —10 
 —12 
 
 —14 
 
 55 
 59 
 62 
 83 
 
 46 
 46 
 
 46 
 47 
 53 
 
 57 
 
 60 
 62 
 
 64 
 
 TABLE 54. 
 Properties of Saturated Ammonla.t 
 
 
 Pressure 
 
 
 Vol. of 
 
 Vol. of 
 
 Wt. of 
 
 Temp. 
 
 absolute 
 
 Heat of 
 
 .vapor 
 
 liquid 
 
 vapor 
 
 deg. P. 
 
 lbs. per 
 
 vaporization 
 
 per lb. 
 
 per lb. 
 
 lbs. per 
 
 
 sq. m. 
 
 
 cu. ft. i 
 
 cu. ft. 
 
 cu. ft. 
 
 —40 
 
 10.69 
 
 579.67 
 
 24.38 
 
 .0234 
 
 .0411 
 
 —35 
 
 12.31 
 
 576.69 
 
 21.21 
 
 .0236 . 
 
 .0471 
 
 —30 
 
 14.13 
 
 573.69 
 
 18.67 
 
 .0237 
 
 .0535 
 
 —25 
 
 16.17 
 
 570.68 
 
 16.42 
 
 .0238 
 
 .0609 
 
 —20 
 
 18.45 
 
 567.67 
 
 14.48 
 
 .0240 
 
 .0690 
 
 —15 
 
 20.99 
 
 564.64 
 
 12.81 
 
 .0242 
 
 .0775 
 
 —10 
 
 23.77 
 
 561.61 
 
 11.36 
 
 .0243 
 
 .0880 
 
 — 5 
 
 27.57 
 
 558.56 
 
 9.89 
 
 .0244 
 
 .1011 
 
 ± 
 
 30.37 
 
 555.50 
 
 9.14 
 
 .0246 
 
 .1094 
 
 + 5 
 
 34.17 
 
 552.43 
 
 8.04 
 
 .0247 
 
 .1243 
 
 +10 
 
 38.55 
 
 549.35 
 
 7.20 
 
 .0249 
 
 .1381 
 
 +20 
 
 47.95 
 
 543.15 
 
 5.82 
 
 .0252 
 
 .1721 
 
 +30 
 
 59.41 
 
 536.92 
 
 4.73 
 
 .0254 
 
 .2111 
 
 +40 
 
 73.00 
 
 5.30.63 
 
 3.88 
 
 .0257 
 
 .2577 
 
 +50 
 
 88.96 
 
 524.30 
 
 3.21 
 
 .02()01 
 
 .3115 
 
 +60 
 
 107.60 
 
 517.93 
 
 2.67 
 
 .()2(i5 
 
 .3745 
 
 +70 
 
 129.21 
 
 511.52 
 
 2.24 
 
 .02(18 
 
 .4664 
 
 +80 
 
 154.11 
 
 • 504.66 
 
 1.89 
 
 .0272 
 
 .5291 
 
 +90 
 
 182.80 
 
 498.11 
 
 1.61 
 
 .0274 
 
 .6211 
 
 + 100 
 
 215.14 
 
 491.50 
 
 1.36 
 
 .0279 
 
 .7353 
 
 'Taylcr. Pocket IJook of Refrigeration, 
 t Wood— Thermodynamics, Heat Motors and Refrigerating Machines. 
 
 380 
 
TABL.E 55. 
 
 Solubility of Ammonia in Water at DlflEerent Temperature* 
 and Pressures. (Sims).* 
 
 1 rb. of water (also unit volume) absorbs the following 
 quantities of ammonia. 
 
 Absolute 
 
 32° 
 
 F. 
 
 68° F. 
 
 104° 
 
 F. 
 
 212° 
 
 F. 
 
 pressure 
 
 
 
 
 
 
 
 
 
 in lbs. 
 
 
 
 
 
 
 
 
 
 per 
 sq. in. 
 
 Lbs. 
 
 Vols. 
 
 Lbs. 
 
 Vols. 
 
 Lbs. 
 
 Vols. 
 
 Grms. 
 
 Vols. 
 
 14.67 
 
 0.899 
 
 1180 
 
 0.518 
 
 683 
 
 0.338 
 
 443 
 
 0.074 
 
 97 
 
 15.44 
 
 0.937 
 
 1231 
 
 0.535 
 
 703 
 
 0.349 
 
 458 
 
 0.078 
 
 102 
 
 16.41 
 
 0.980 
 
 1287 
 
 0.556 
 
 730 
 
 0.363 
 
 476 
 
 0.083 
 
 109 
 
 17.37 
 
 1.029 
 
 1351 
 
 0.574 
 
 754 
 
 0.378 
 
 496 
 
 0.088 
 
 115 
 
 18.34 
 
 1.077 
 
 1414 
 
 0.594 
 
 781 
 
 0.391 
 
 513 
 
 0.092 
 
 120 
 
 19.30 
 
 1.126 
 
 1478 
 
 0.613 
 
 805 
 
 0.404 
 
 531 
 
 0.096 
 
 126 
 
 20.27 
 
 1.177 
 
 1546 
 
 0.632 
 
 830 
 
 0.414 
 
 543 
 
 0.101 
 
 132 
 
 21.23 
 
 1.236 
 
 1615 
 
 0.651 
 
 855 
 
 0.425 
 
 558 
 
 0.106 
 
 139 
 
 22.19 
 
 1.283 
 
 1685 
 
 0.669 
 
 878 
 
 0.434 
 
 570 
 
 0.110 
 
 140 
 
 23.16 
 
 1.336 
 
 1754 
 
 0.685 
 
 894 
 
 0.445 
 
 584 
 
 0.115 
 
 151 
 
 24.13 
 
 1.388 
 
 1823 
 
 0.704 
 
 924 
 
 0.454 
 
 596 
 
 0.120 
 
 157 
 
 25.09 
 
 1.442 
 
 1894 
 
 0.722 
 
 948 
 
 0.463 
 
 609 
 
 0.125 
 
 164 
 
 26.06 
 
 1.496 
 
 1965 
 
 0.741 
 
 973 
 
 0.472 
 
 619 
 
 0.130 
 
 170 
 
 27.02 
 
 1.549 
 
 2034 
 
 0.761 
 
 999 
 
 0.479 
 
 629 
 
 0.135 
 
 177 
 
 27.99 
 
 1.603 
 
 2105 
 
 0.780 
 
 1023 
 
 0.486 
 
 638 
 
 
 
 28.95 
 
 1.656 
 
 2175 
 
 0.801 
 
 1052 
 
 0.493 
 
 647 
 
 
 
 30.88 
 
 1.758 
 
 2309 
 
 0.842 
 
 1106 
 
 0.511 
 
 671 
 
 
 
 32.81 
 
 1.861 
 
 2444 
 
 0.881 
 
 1157 
 
 0.530 
 
 696 
 
 
 
 34.74 
 
 1.966 
 
 2582 
 
 0.919 
 
 1207 
 
 0.547 
 
 718 
 
 
 
 36.67 
 
 2.070 
 
 2718 
 
 0.955 
 
 1254 
 
 0.565 
 
 742 
 
 
 
 TABLE 56. 
 Strengrtli of Ammonia Liquor.* 
 
 Degrees 
 
 Specific 
 
 Percent- . 
 
 Degrees 
 
 Specific 
 
 Percent- 
 
 Baume 
 
 gravity 
 
 age 
 
 Baume 
 
 gravity 
 
 age 
 
 10 
 
 1.0000 
 
 0.0 
 
 20 
 
 0.9333 
 
 17.4 
 
 11 
 
 0.9929 
 
 1.8 
 
 21 
 
 0.9271 
 
 19.4 
 
 12 
 
 0.9859 
 
 3.3 
 
 22 
 
 0.9210 
 
 21.4 
 
 13 
 
 0.9790 
 
 5.0 
 
 23 
 
 0.9150 
 
 23.4 
 
 14 
 
 0.9722 
 
 6.7 
 
 24 
 
 0.9090 
 
 25.3 
 
 15 
 
 0.9655 
 
 8.4 
 
 25 
 
 0.9032 
 
 27.7 
 
 16 
 
 0.9589 
 
 10.0 
 
 26(a) 
 
 0.8974 
 
 30.1 
 
 17 
 
 0.9523 
 
 11.9 
 
 27 
 
 0.8917 
 
 32.5 
 
 18 
 
 0.9459 
 
 13.7 
 
 28 
 
 0.8860 
 
 35.2 
 
 19 
 
 0.9396 
 
 15.5 
 
 29 
 
 0.8805 
 
 
 Note. — Sp. gr. of pure anhydrous ammonia = .623 
 (a) Known to the trade as *'29i^ per cent." 
 
 *Tayler. Pocket-Book of Refrigeration. 
 
 381 
 
TABLE 57. 
 Properties of Saturated Sulphur Dioxide. (Ledonx).* 
 
 Temp, of 
 
 Absolute 
 pressure 
 
 Total heat 
 
 Latent heat 
 
 Heat of 
 
 liquid 
 
 from 
 
 32 deg. P. 
 
 Density ol 
 
 ebullition 
 
 lbs. per 
 
 from 
 
 ol vapor- 
 
 vapor 
 
 deg. F. 
 
 sq. in. 
 
 P -T- 144 
 
 32 deg. P. 
 
 ization 
 
 wt. per 
 cu. ft. 
 
 —22 
 
 5.56 
 
 157.43 
 
 176.99 
 
 —19.56 
 
 .076 
 
 —13 
 
 7.23 
 
 158.64 
 
 174.95 
 
 —16.30 
 
 .097 
 
 — 4 
 
 9.27 
 
 159.84 
 
 172.89 
 
 —13.05 
 
 .123 
 
 5 
 
 11.76 
 
 161.03 
 
 170.82 
 
 — 9.79 
 
 .153 
 
 14 
 
 14.74 
 
 162.20 
 
 168.73 
 
 — 6.53 
 
 .190 
 
 23 
 
 18.31 
 
 163.36 
 
 166.63 
 
 — 3.27 
 
 .232 
 
 32 
 
 22.53 
 
 164.51 
 
 164.51 
 
 0.00 
 
 .282 
 
 41 
 
 27.48 
 
 165.65 
 
 162.38 
 
 3.27 
 
 .340 
 
 50 
 
 33.25 
 
 166.78 
 
 160.23 
 
 6.55 
 
 .407 
 
 59 
 
 39.93 
 
 167.90 
 
 158.07 
 
 9.83 
 
 .483 
 
 68 
 
 47.61 
 
 168.99 
 
 155.89 
 
 13.11 
 
 .570 
 
 77 
 
 56.39 
 
 170.09 
 
 153.70 
 
 16.39 
 
 .669 
 
 86 
 
 66.36 
 
 171.17 
 
 151.49 
 
 19.69 
 
 .780 
 
 95 
 
 77.64 
 
 172.24 
 
 149.26 
 
 22.98 
 
 .906 
 
 104 
 
 90.31 
 
 173.30 
 
 147.02 
 
 26.28 
 
 1.046 
 
 TABLE 58. 
 Properties of Saturated Carbon Dioxlde.f 
 
 Temp, of 
 
 Absolute 
 
 Total heat 
 
 Latent heat 
 
 Heat of 
 
 Density of 
 
 ebullition 
 
 pressure 
 
 from 
 
 of vapor- 
 
 liquid from 
 
 vapor or 
 
 deg. F. 
 
 in lbs. 
 per sq. in. 
 
 32 deg. P. 
 
 ization 
 
 32 deg. P. 
 
 wt. per 
 cu. ft. 
 
 —22 
 
 210 
 
 98.35 
 
 136.15 
 
 -37.80 
 
 2.321 
 
 —13 
 
 249 
 
 99.14 
 
 131.65 
 
 —32.51 
 
 2.750 
 
 — 4 
 
 292 
 
 99.88 
 
 126.79 
 
 —26.91 
 
 3.265 
 
 5 
 
 342 
 
 100.58 
 
 121.50 
 
 —20.92 
 
 8.853 
 
 14 
 
 396 
 
 101.21 
 
 115.70 
 
 —14.49 
 
 4.535 
 
 23 
 
 457 
 
 101.81 
 
 109.37 
 
 — 7. .56 
 
 5.331 
 
 32 
 
 525 
 
 102.. 35 
 
 102.. 35 
 
 0.00 
 
 6.265 
 
 41 
 
 599 
 
 102.84 
 
 94.52 
 
 8.32 
 
 7.374 
 
 50 
 
 680 
 
 103.24 
 
 85.64 
 
 17.60 
 
 8.708 
 
 59 
 
 768 
 
 103.59 
 
 75.37 
 
 28.22 
 
 10.356 
 
 68 
 
 864 
 
 103.84 
 
 62.98 
 
 40.86 
 
 12.480 
 
 77 
 
 968 
 
 103.95 
 
 46.89 
 
 57.06 
 
 15.475 
 
 86 
 
 1080 
 
 103.72 
 
 19.28 
 
 84.44 
 
 21.519 
 
 •Kent's M. E. Pocket-Rook. 
 n. C. S. Pamphlet 1238 B. 
 
 3S9. 
 
 ^ 
 
TABLE 59. 
 
 Pressures and Boiling: Points of Liquids Available for Use 
 
 in Refrig:eratingr Macliincs.i' 
 
 Temperature 
 
 
 Pressure 
 
 of vapor 
 
 
 of ebullition 
 
 Pounds per square inch absolute 
 
 deg, F. 
 
 Sulphur 
 dioxide 
 
 Ammonia 
 
 Carbon 
 dioxide 
 
 Pictet 
 fluid 
 
 —40 
 
 
 10.22 
 
 
 
 —31 
 
 
 13.23 
 
 
 
 —22 
 
 5.56 
 
 16.95 
 
 
 
 —13 
 
 7.23 
 
 21.51 
 
 251.6 
 
 
 — 4 
 
 9.27 
 
 27.04 
 
 292.9 
 
 13.5 
 
 5 
 
 11.76 
 
 33.67 
 
 340.1 
 
 16.2 
 
 14 
 
 14.75 
 
 41.58 
 
 393.4 
 
 19.3 
 
 23 
 
 18.31 
 
 50.91 
 
 453.4 
 
 22.9 
 
 32 
 
 22.53 
 
 61.85 
 
 520.4 
 
 26.9 
 
 41 
 
 27.48 
 
 74.55 
 
 594.8 
 
 31.2 
 
 50 
 
 33.26 
 
 89.21 
 
 676.9 
 
 36.2 
 
 59 
 
 39.93 
 
 105.99 
 
 766.9 
 
 41.7 
 
 68 
 
 47.62 
 
 125.08 
 
 864.9 
 
 48.1 
 
 77 
 
 56.39 
 
 146.64 
 
 971.1 
 
 55.6 
 
 86 
 
 66.37 
 
 170.83 
 
 1085.6 
 
 64.1 
 
 95 
 
 77.64 
 
 197.83 
 
 1207.9 
 
 73.2 
 
 104 
 
 90.32 
 
 227.76 
 
 1338.2 
 
 82.9 
 
 TABLE 60. 
 Table of Calcium Brine Solution.f 
 
 Deg. 
 Baume 
 
 Per cent, 
 calcium 
 
 Lbs. per 
 
 Specific 
 
 Specific 
 
 Freezing 
 
 point 
 deg. F. 
 
 Amm. 
 
 60 deg. 
 F. 
 
 by 
 weight 
 
 cu. ft. 
 solution 
 
 gravity 
 
 heat 
 
 gage 
 pressure 
 
 
 
 0.000 
 
 0.0 
 
 1.000 
 
 1.000 
 
 32.00 
 
 47.31 
 
 2 
 
 1.886 
 
 2.5 
 
 1.014 
 
 .988 
 
 30.33 
 
 45.14 
 
 4 
 
 3.772 
 
 5.0 
 
 1.028 
 
 .972 
 
 28.58 
 
 43.00 
 
 6 
 
 5.658 
 
 7.5 
 
 1.043 
 
 .955 
 
 27.05 
 
 41.17 
 
 8 
 
 7.544 
 
 10.0 
 
 1.058 
 
 .936 
 
 25.52 
 
 39.35 
 
 10 
 
 9.430 
 
 12.5 
 
 1.074 
 
 .911 
 
 22.80 
 
 36.30 
 
 12 
 
 11.316 
 
 15.0 
 
 1.090 
 
 .890 
 
 19.70 
 
 32.93 
 
 14 
 
 13.202 
 
 17.5 
 
 1.107 
 
 .878 
 
 16.61 
 
 29.63 
 
 16 
 
 15.088 
 
 20.0 
 
 1.124 
 
 .866 
 
 13.67 
 
 27.04 
 
 18 
 
 16.974 
 
 22.5 
 
 1.142 
 
 .854 
 
 10.00 
 
 23.85 
 
 20 
 
 18.860 
 
 25.0 
 
 1.160 
 
 .844 
 
 4.60 
 
 19.43 
 
 22 
 
 20.746 
 
 27.5 
 
 1.179 
 
 .834 
 
 — 1.40 
 
 14.70 
 
 24 
 
 22.632 
 
 30.0 
 
 1.198 
 
 .817 
 
 — 8.60 
 
 9.96 
 
 26 
 
 24.518 
 
 32.5 
 
 1.218 
 
 .799 
 
 —17.10 
 
 5.22 
 
 28 
 
 26.404 
 
 35.0 
 
 1.239 
 
 .778 
 
 —27.00 
 
 .65 
 
 30 
 
 28.290 
 
 37.5 
 
 1.261 
 
 .757 
 
 —39.20 
 
 8.5" vac. 
 
 32 
 
 30.176 
 
 40.0 
 
 1.283 
 
 
 —54.40 
 
 15" vac. 
 
 34 
 
 32.062 
 
 42.5 
 
 1.306 
 
 
 —39.20 
 
 4* vac. 
 
 •Kent's M. E. Pocket-Book. 
 tAm. Sch. of Cor. Dickerman-Boyer. 
 
 383 
 
TABLE 61. 
 Table of Salt Brine Solution.* 
 
 (Sodium chloride). 
 
 Degrees 
 
 Salom- 
 
 eter at 
 
 60 deg. F. 
 
 Percent, 
 by wt. 
 of salt 
 
 Pounds 
 
 of salt 
 
 percu. ft. 
 
 Specific 
 gravity 
 
 Specific 
 heat 
 
 Freezing 
 
 point 
 deg. P. 
 
 Amm. 
 
 gage 
 
 pressure 
 
 
 
 0.00 
 
 0.000 
 
 1.0000 
 
 1.000 
 
 32.0 
 
 47.32 
 
 5 
 
 1.25 
 
 0.785 
 
 1.0090 
 
 .990 
 
 30.3 
 
 45.10 
 
 10 
 
 2.50 
 
 1.586 
 
 1.0181 
 
 .980 
 
 28.6 
 
 43.03 
 
 15 
 
 3.75 
 
 2.401 
 
 1.0271 
 
 .970 
 
 26.9 
 
 41.00 
 
 20 
 
 5.00 
 
 3.239 
 
 1.0362 
 
 .960 
 
 25.2 
 
 38.96 
 
 25 
 
 6.25 
 
 4.099 
 
 1.0455 
 
 .943 
 
 23.6 
 
 37.19 
 
 30 
 
 7.50 
 
 4.967 
 
 1.0547 
 
 .926 
 
 22.0 
 
 35.44 
 
 35 
 
 8.75 
 
 5.834 
 
 1.0640 
 
 .909 
 
 20.4 
 
 33.69 
 
 40 
 
 10.00 
 
 6.709 
 
 1.0733 
 
 .892 
 
 18.7 
 
 . 31.93 
 
 45 
 
 11.25 
 
 7.622 
 
 1.0828 
 
 .883 
 
 17.1 
 
 :0.33 
 
 50 
 
 12.50 
 
 8.542 
 
 1.0923 
 
 .874 
 
 15.5 
 
 28.73 
 
 55 
 
 13.75 
 
 9.462 
 
 1.1018 
 
 .864 
 
 13.9 
 
 27.24 
 
 60 
 
 15.00 
 
 10.389 
 
 1.1114 
 
 .855 
 
 12.2 
 
 25.76 
 
 65 
 
 16.25 
 
 11.384 
 
 1.1213 
 
 .848 
 
 10.7 
 
 24.46 
 
 70 
 
 17.50 
 
 12. ,387 
 
 1.1312 
 
 .842 
 
 9.2 
 
 23.16 
 
 75 
 
 18.75 
 
 13.396 . 
 
 1.1411 
 
 .835 
 
 7.7 
 
 21.82 
 
 80 
 
 20.00 
 
 14.421 
 
 1.1511 
 
 .829 
 
 6.1 
 
 20.43 
 
 85 
 
 21.25 
 
 15.461 
 
 1.1614 
 
 .818 
 
 4.6 
 
 19.16 
 
 90 
 
 22.50 
 
 16.508 
 
 1.1717 
 
 .806 
 
 3.1 
 
 18.20 
 
 95 
 
 23.75 
 
 17.555 
 
 1.1820 
 
 .795 
 
 1.6 
 
 16.88 
 
 100 
 
 25.00 
 
 18.610 
 
 1.1923 
 
 .783 
 
 0.0 
 
 15.67 
 
 TABLE 62. 
 
 Horse-Pover Required to Produce One Ton of Refrigeration.! 
 
 Condenser pressure and temperature. 
 
 
 P 
 
 103 
 
 115 
 
 127 
 
 139 
 
 153 
 
 168 
 
 184 
 
 200 
 
 218 
 
 T 
 
 65 
 
 70 
 
 75 
 
 80 
 
 85 
 
 90 
 
 95 
 
 100 
 
 105 
 
 
 —20° 
 
 1.0584 
 
 1.1304 
 
 1.2051 
 
 1.2832 
 
 1.3611 
 
 1.4427 
 
 1.5251 
 
 1.6090 
 
 1.6910 
 
 —15 
 
 .9972 
 
 1.0G94 
 
 1.1450 
 
 1.2221 
 
 1.3001 
 
 1.4101 
 
 1.4609 
 
 1.5458 
 
 1.6300 
 
 S 9 
 
 —10 
 
 .9026 
 
 .9777 
 
 1.0453 
 
 1.1183 
 
 1.1926 
 
 1.2602 
 
 1.3471 
 
 1.4352 
 
 1.50^3 
 
 £13 
 
 — 5 
 
 .8184 
 
 .8833 
 
 .95:^7 
 
 1.0230 
 
 1.0935 
 
 1.1679 
 
 1.2437 
 
 1.3209 
 
 1.3961 
 
 a 16 
 
 
 
 .7352 
 
 .8008 
 
 .8648 
 
 .9328 
 
 1.0019 
 
 1.0718 
 
 1.1467 
 
 1.2194 
 
 1.2.547 
 
 »H 20 
 
 5 
 
 .6665 
 
 .7312 
 
 .7946 
 
 .8593 
 
 .9278 
 
 .9978 
 
 1.0656 
 
 1.1381 
 
 1.2121 
 
 S 24 
 
 10 
 
 .5915 
 
 .6629 
 
 .7257 
 
 .7894 
 
 .8545 
 
 .9205 
 
 .9911 
 
 1.0595 
 
 1.1294 
 
 * 28 
 
 15 
 
 .5410 
 
 .5998 
 
 .6641 
 
 .7276 
 
 .7924 
 
 .8553 
 
 .9224 
 
 .9943 
 
 1.0603 
 
 £33 
 •C 39 
 
 20 
 
 .4745 
 
 .5340 
 
 .5923 
 
 .6716 
 
 .7148 
 
 .7796 
 
 .8420 
 
 .9031 
 
 .9736 
 
 25 
 
 .4103 
 
 .4659 
 
 .5227 
 
 .58(M 
 
 .5992 
 
 .7022 
 
 .7667 
 
 .8289 
 
 .8922 
 
 "S 45 
 
 30 
 
 .3509 
 
 .40.56 
 
 .4612 
 
 .5178 
 
 .5755 
 
 .6353 
 
 .6944 
 
 .7590 
 
 .8172 
 
 « 51 
 
 35 
 
 .3005 
 
 .3546 
 
 .4101 
 
 .4666 
 
 .5214 
 
 .5804 
 
 .6398 
 
 .7009 
 
 .7629 
 
 Note.— The above figures are purely theoretical. 
 
 50 per cent, must be added. 
 
 ♦Am. Sch. of Cor. DIckerman-Boyer. 
 tDe La Vergne Catalog. 
 
 Ib practice about 
 
 38 4 
 
TABLE 63. 
 
 Cubic Feet of Ammonia Ga.s per Minute to Produce One Ton 
 of Refrigeration per Day.* 
 
 Condenser pressure and temperature. 
 
 
 
 Press. 
 
 103 
 
 115 
 
 127 
 
 1.39 
 
 153 
 
 168 
 
 185 
 
 200 
 
 218 
 
 c 
 a 
 
 Press. 
 
 Temp. 
 
 65° 
 
 70° 
 
 75° 
 
 80° 
 
 85° 
 
 90° 
 
 95° 
 
 100° 
 
 luJ^ 
 
 
 4 
 
 —20° 
 
 5.84 
 
 5.90 
 
 5.96 
 
 6.03 
 
 6.06 
 
 6.16 
 
 6.23 
 
 6.30 
 
 6. '3 
 
 a. a 
 
 6 
 
 —15° 
 
 5.35 
 
 5.40 
 
 5.46 
 
 5.52 
 
 5.58 
 
 5.64 
 
 5.70 
 
 5.77 
 
 5. "3 
 
 
 9 
 
 —10° 
 
 4.66 
 
 4.73 
 
 4.76 
 
 4.81 
 
 4.86 
 
 4.91 
 
 4.97 
 
 5.05 
 
 5.C3 
 
 ft.'' 
 
 13 
 
 — 5° 
 
 4.09 
 
 4.12 
 
 4.17 
 
 4.21 
 
 4.25 
 
 4.30 
 
 4.35 
 
 4.40 
 
 4.44 
 
 u Sf 
 
 16 
 
 0° 
 
 3.59 
 
 3.63 
 
 3.66 
 
 3.70 
 
 3.74 
 
 3.78 
 
 3.83 
 
 3.87 
 
 3.91 
 
 o ^ 
 
 03 0,; 
 
 20 
 
 5° 
 
 3.20 
 
 3.24 
 
 3.27 
 
 3.30 
 
 3.34 
 
 3.38 
 
 3.41 
 
 3.45 
 
 3.49 
 
 24 
 
 10° 
 
 2.87 
 
 2.90 
 
 2.93 
 
 2.96 
 
 2.99 
 
 3.02 
 
 3.06 
 
 3.09 
 
 3.12 
 
 fe^ 
 
 28 
 
 15° 
 
 2.59 
 
 2.61 
 
 2.65 
 
 2.68 
 
 2.71 
 
 2.73 
 
 2.76 
 
 2.80 
 
 2.82 
 
 bp 
 
 33 
 
 20° 
 
 2.. 31 
 
 2.34 
 
 2.36 
 
 2.38 
 
 2.41 
 
 2.44 
 
 2.46 
 
 2.49 
 
 2.51 
 
 <*-( 
 
 39 
 
 25° 
 
 2.06 
 
 2.08 
 
 2.10 
 
 2.12 
 
 2.15 
 
 2.17 
 
 2.20 
 
 2.22 
 
 2.24 
 
 K 
 
 4.5 
 
 30° 
 
 1.85 
 
 1.87 
 
 1.89 
 
 1.91 
 
 1.93 
 
 1.95 
 
 1.97 
 
 2.00 
 
 2.01 
 
 
 51 
 
 35° 
 
 1.70 
 
 1.72 
 
 1.74 
 
 1.76 
 
 1.77 
 
 1.79 
 
 1.81 
 
 1.83 
 
 1.85 
 
 TAELE 64. 
 Table of Refrigerating Capacitles.1 
 
 Size of buildine 
 
 
 Number of 
 
 CU. ft. per 
 
 ton of refrigera- 
 
 
 
 
 
 tion 
 
 at temperatures given 
 
 Dimen- 
 sion'! nf 
 
 Con- 
 tents 
 cu. ft. 
 
 Sur- 
 face 
 in sq. 
 ft. 
 
 Ratio 
 
 cu. ft. 
 
 to sq. 
 
 ft. 
 
 
 
 Temperatures 
 
 
 building 
 
 
 
 
 
 
 
 
 
 
 0' 
 
 8^ 
 
 16° 
 
 24^ 
 
 32° 
 
 40° 
 
 48° 
 
 5x4x5 
 
 100 
 
 130 
 
 1.3 
 
 900 
 
 1100 
 
 1300 
 
 1500 
 
 1700 
 
 1900 
 
 2100 
 
 8x10x10 
 
 800 
 
 520 
 
 .65 
 
 1800 
 
 2200 
 
 2600 
 
 3000 
 
 3400 
 
 3800 
 
 4200 
 
 25x40x10 
 
 10000 
 
 3300 
 
 .33 
 
 3600 
 
 4400 
 
 5200 
 
 6000 
 
 6700 
 
 7600 
 
 8400 
 
 20x50x20 
 
 20000 
 
 4800 
 
 .24 
 
 4860 
 
 5940 
 
 7020 
 
 8100 
 
 9180 
 
 10260 
 
 11340 
 
 40x50x20 
 
 40000 
 
 7600 
 
 .19 
 
 6300 
 
 7700 
 
 9100 
 
 10500 
 
 11900 
 
 13300 
 
 14700 
 
 60x50x20 
 
 60000 
 
 10400 
 
 .17 
 
 6840 
 
 8360 
 
 9880 
 
 1140O 
 
 12920 
 
 14440 
 
 15960 
 
 80x50x20 
 
 80000 
 
 13200 
 
 .165 
 
 7200 
 
 8800 
 
 10700 
 
 12000 
 
 13600 
 
 15200 
 
 168O0 
 
 100x50x20 
 
 100000 
 
 16000 
 
 .16 
 
 7200 
 
 880O 
 
 10400 
 
 12000 
 
 13600 
 
 15200 
 
 16800 
 
 100x100x20 
 
 200000 
 
 28000 
 
 .14 
 
 8100 
 
 990O 
 
 11700 
 
 13000 
 
 15300 
 
 17100 
 
 18900 
 
 100x100x40 
 
 400000 
 
 36000 
 
 .09 
 
 13050 
 
 15950 
 
 18850 
 
 21750 
 
 24650 
 
 27550 
 
 30450 
 
 100x100x60 
 
 600000 
 
 4400O 
 
 .073 
 
 16200 
 
 1980O 
 
 23400 
 
 27000 
 
 30600 
 
 34200 
 
 37800 
 
 100x100x80 
 
 800000 
 
 52000 
 
 .065 
 
 18000 
 
 22000 
 
 26000 
 
 30000 
 
 34000 
 
 38000 
 
 4200T 
 
 100x100x100 
 
 1000000 
 
 60000 
 
 .06 
 
 19350 
 
 23650 
 
 27950 
 
 32250 
 
 36550 
 
 40850 
 
 45150 
 
 *Featherstone Foundry and Machine Co. Catalog. 
 tTayler. P. B. of R. 
 
 3S; 
 
it 
 
 :3 
 S 
 
 m 
 
 e 
 
 h 
 A 
 
 
 Co; 
 >>-^ '-» 
 
 oa S 4» 
 
 o « 
 
 2'5 w 
 K S « 
 
 3J « t. 
 
 — .rr cc 
 
 o- 
 
 ^ <u 
 
 <a a 
 
 o 
 OS 
 
 a 
 o o 
 
 S j^ - >> 
 
 OS 1^ o 
 
 
 o "^ >» 
 
 
 O V 
 
 
 § St; as 5 5 
 w 25 ?5 e<3 S 
 ox c; "M 00 
 
 8 S 
 
 (M <M C'l G<1 CO 
 
 8 8 
 
 ;5^ 
 
 8 3 S 
 
 8 8 S 8 S 8 8 
 
 s 
 
 3 
 
 8 
 
 S 
 
 S 
 
 8 
 
 8 
 
 s 
 
 8 
 
 1^ 
 
 ^ 
 
 OC 
 
 Ci 
 
 (M 
 
 00 
 
 <M 
 
 s 
 
 
 CK 
 
 :: 
 
 : 
 
 - 
 
 - 
 
 : 
 
 3 
 
 3 
 
 - 
 
 M ?1 2^1 CO M to CO 
 
 8 
 
 8 
 
 8 
 
 g 
 
 g 
 
 :5 
 
 8 
 
 8 
 
 8 
 
 
 0-5 
 
 ■^■i 
 
 CO 
 
 Ti< 
 
 'ti 
 
 ^ 
 
 Ci 
 
 Ci 
 
 4J 
 
 55 
 
 : 
 
 z 
 
 3 
 
 3 
 
 3 
 
 3 
 
 3 
 
 : 
 
 C-l 
 
 <>> 
 
 »I 
 
 <M 
 
 ^5 
 
 a 
 
 ^ 
 
 CC 
 
 ^ 
 
 8 8 = 
 
 8 8 8 8 
 
 -t< O L-J ITS «0 O O 1-1 T-I 
 
 EC -5 
 
 Si. J 
 
 IS 
 
 o d 
 c o 
 
 ^ o 
 
 
 ns6 
 
Table 66. 
 
 Temperatures to Which Ammonia Gas Is Raised by 
 Compression.'*' 
 
 Tempera- 
 
 Absolute 
 
 
 Absolute suction pressure 
 
 
 ture of 
 
 condensing 
 
 
 
 
 
 
 
 
 
 
 
 
 
 suction 
 
 pressure 
 
 20 
 
 25 
 
 30 
 
 35 
 
 40 
 
 45 
 
 deg. F. 
 
 90 
 
 199 
 
 165 
 
 138 
 
 116 
 
 98 
 
 83 
 
 
 110 
 
 232 
 
 196 
 
 166 
 
 145 
 
 126 
 
 109 
 
 
 130. 
 
 261 
 
 222 
 
 193 
 
 169 
 
 150 
 
 132 
 
 
 150 
 
 285 
 
 246 
 
 216 
 
 191 
 
 171 
 
 153 
 
 
 160 
 
 296 
 
 257 
 
 226 
 
 202 
 
 181 
 
 163 
 
 5 deg. F. 
 
 90 
 
 266 
 
 172 
 
 145 
 
 123 
 
 104 
 
 89 
 
 
 110 
 
 239 
 
 203 
 
 174 
 
 151 
 
 132 
 
 115 
 
 
 130 
 
 268 
 
 230 
 
 200 
 
 176 
 
 156 
 
 139 
 
 
 150 
 
 293 
 
 254 
 
 223 
 
 198 
 
 178 
 
 160 
 
 
 160 
 
 305 
 
 265 
 
 234 
 
 209 
 
 188 
 
 170 
 
 10 deg. F. 
 
 90 
 
 213 
 
 178 
 
 151 
 
 129 
 
 110 
 
 96 
 
 
 110 
 
 247 
 
 210 
 
 181 
 
 158 
 
 139 
 
 122 
 
 
 130 
 
 275 
 
 237 
 
 207 
 
 183 
 
 163 
 
 145 
 
 
 150 
 
 301 
 
 262 
 
 231 
 
 205 
 
 185 
 
 167 
 
 
 160 
 
 313 
 
 273 
 
 241 
 
 216 
 
 195 
 
 176 
 
 15 deg. F. 
 
 90 
 
 221 
 
 185 
 
 158 
 
 135 
 
 117 
 
 101 
 
 
 110 
 
 254 
 
 217 
 
 188 
 
 164 
 
 145 
 
 128 
 
 
 130 
 
 283 
 
 245 
 
 214 
 
 191 
 
 170 
 
 152 
 
 
 150 
 
 309 
 
 269 
 
 238 
 
 213 
 
 192 
 
 173 
 
 
 160 
 
 321 
 
 281 
 
 249 
 
 223 
 
 202 
 
 183 
 
 20 deg. F. 
 
 90 
 
 228 
 
 192 
 
 164 
 
 141 
 
 123 
 
 106 
 
 
 110 
 
 262 
 
 224 
 
 195 
 
 171 
 
 150 
 
 134 
 
 
 130 
 
 291 
 
 252 
 
 222 
 
 197 
 
 176 
 
 158 
 
 
 150 
 
 317 
 
 277 
 
 245 
 
 220 
 
 198 
 
 180 
 
 
 160 
 
 329 
 
 288 
 
 256 
 
 230 
 
 209 
 
 190 
 
 25 deg. F. 
 
 90 
 
 235 
 
 199 
 
 171 
 
 148 
 
 129 
 
 111 
 
 
 110 
 
 269 
 
 230 
 
 200 
 
 178 
 
 155 
 
 140 
 
 
 130 
 
 299 
 
 259 
 
 229 
 
 204 
 
 183 
 
 165 
 
 
 150 
 
 325 
 
 284 
 
 253 
 
 227 
 
 205 
 
 187 
 
 
 160 
 
 338 
 
 296 
 
 264 
 
 237 
 
 216 
 
 197 
 
 30 deg. F. 
 
 90 
 
 242 
 
 206 
 
 177 
 
 154 
 
 134 
 
 118 
 
 
 110 
 
 277 
 
 239 
 
 208 
 
 184 
 
 164 
 
 147 
 
 
 130 
 
 307 
 
 267 
 
 236 
 
 211 
 
 190 
 
 171 
 
 
 150 
 
 334 
 
 292 
 
 260 
 
 234 
 
 •212 
 
 193 
 
 
 160 
 
 346 
 
 304 
 
 271 
 
 245 
 
 223 
 
 203 
 
 35 deg. F. 
 
 90 
 
 249 
 
 213 
 
 182 
 
 160 
 
 141 
 
 124 
 
 
 110 
 
 286 
 
 246 
 
 215 
 
 191 
 
 170 
 
 153 
 
 
 130 
 
 315 
 
 274 
 
 243 
 
 217 
 
 196 
 
 178 
 
 
 150 
 
 341 
 
 300 
 
 268 
 
 241 
 
 219 
 
 200 
 
 
 160 
 
 354 
 
 312 
 
 279 
 
 252 
 
 230 
 
 210 
 
 ^Tayler. P. B. of R. 
 
 387 
 

 
 M 
 
 «o 
 
 c 
 
 
 r 
 
 
 1 ! 
 
 CO 
 
 
 
 c*' 
 
 
 
 s 
 
 
 o 
 
 
 g 
 
 CO 
 
 S 
 
 CO ^i I I 
 
 OS oc 1 1 
 
 ss 
 
 
 5^ 
 
 
 
 i 
 
 
 
 
 rH 
 
 rH 
 
 1 
 1 
 
 
 
 '"' 
 
 
 d 
 
 
 
 
 ■^ 
 
 ■^ 
 
 CO 
 
 (M 
 
 1 
 
 00 
 
 
 ■M 
 
 
 00 
 
 g 
 
 
 in 
 
 1-^ 
 
 -M 
 
 C35 
 
 CO* 
 
 1 
 
 «* 
 
 
 00 
 
 
 fi 
 
 
 
 «o 
 
 00 
 
 !^ 
 
 r- 
 
 *>• 
 
 1 
 1 
 1 
 
 H«. 
 
 
 r-l 
 
 
 d 
 
 00 
 
 rH 
 
 
 
 '^ 
 
 (M 
 
 in 
 
 "^ 
 
 ] 
 
 •>«< 
 
 
 8 
 
 
 ?5 
 
 o 
 
 
 s 
 
 g 
 
 i-t 
 
 t-H 
 
 d 
 
 1 
 1 
 1 
 
 
 
 1- 
 
 r-l 
 
 
 d 
 
 rH 
 
 
 
 •-: 
 
 (M 
 
 1^ 
 
 in 
 
 1 
 
 1 
 
 o> 
 
 
 ^ 
 
 
 in 
 
 "s~ 
 
 
 in 
 
 
 (N 
 
 f-l 
 
 ■^ 
 
 1 
 
 I-^ 
 
 
 CO 
 
 
 t>. 
 
 r-^ 
 
 # 
 
 lO 
 
 as 
 
 cq 
 
 lO 
 
 CO 
 
 1 
 
 eo 
 
 
 
 
 
 CO 
 
 d 
 
 es 
 
 
 
 rH 
 
 rH 
 
 
 
 
 
 rH 
 
 
 d 
 
 
 
 CO 
 
 (M 
 
 OJ 
 
 CO 
 
 ! 1 ^. 
 
 
 CO 
 
 
 s s 
 
 t: 
 
 5r 
 
 
 rH 
 
 CO 
 
 T-i 
 
 s 
 
 1 
 1 
 
 CO 
 
 
 rH 
 
 
 d "i 
 
 m 
 
 
 
 
 
 
 ' 
 
 
 
 
 
 r-l 
 
 >* 
 
 
 o 
 
 O 
 
 I-H 
 
 00 
 
 ^ 
 
 o 
 
 
 8 
 
 
 S IS 
 
 s^ 
 
 la 
 
 in 
 
 d 
 
 ■H< 
 
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 18 
 
 rH 
 
 
 ■^ 
 
 
 00 to 
 
 
 ■Xt 
 
 •>*< 
 
 O) 
 
 IM 
 
 in 
 
 CO 
 
 
 
 
 ~j -v 
 
 
 
 
 
 T-i 
 
 
 
 
 
 rH 
 
 
 « 1^ 
 
 fi 
 
 
 r-l 
 
 (N 
 
 eo 
 
 OJ 
 
 1^ 
 
 CO 
 
 
 rH 
 
 
 •^ 
 
 o 
 
 4) 
 
 O 
 
 ?S 
 
 CO 
 
 d 
 
 CO 
 
 •<li 
 
 t-^ 
 
 
 ?§ 
 
 
 00 
 
 sg 
 
 p^ 
 
 ■<t< 
 
 t- 
 
 rH 
 
 rti 
 
 t« 
 
 o 
 
 
 
 
 
 CO 
 
 ej 
 
 
 
 
 rH 
 
 
 
 
 
 rH 
 
 
 d 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 -* 
 
 m 
 
 lO 
 
 00 
 
 3 
 
 in 
 to 
 
 O 
 
 rH 
 
 
 
 
 00 
 
 I-H 
 
 CO 
 
 
 3 
 
 § 
 
 lu 
 
 CO 
 
 eo 
 
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 ■^ 
 
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 M 
 
 
 
 
 
 CO 
 
 a 
 
 
 
 
 
 
 
 
 
 rH 
 
 
 d 
 
 
 •^ 
 
 
 
 
 
 
 
 
 
 
 
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 9i 
 
 
 rH 
 
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 <N 
 
 r-l 
 
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 s 
 
 
 
 
 
 
 
 
 
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 in 
 
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 CO 
 
 c^ 
 
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 00 
 
 CO 
 
 in 
 
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 • 1 OI 
 
 e 
 
 
 
 
 
 
 
 
 
 rH 
 
 
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 ^ 
 
 
 
 
 
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 •« 
 
 
 00 
 
 CO 
 
 c» 
 
 CO 
 
 in 
 
 C<J 
 
 
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 JO 
 
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 ►» 
 
 in 
 
 d 
 
 r-t 
 
 00 
 
 d 
 
 in 
 
 t^ 
 
 
 
 s 
 
 8 
 
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 ■* 
 
 CO 
 
 <M 
 
 ■<i< 
 
 
 
 rH 
 
 
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 m 
 
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 00 
 
 
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 CO 
 
 t- 
 
 9 
 
 O 
 
 «5 
 
 N 
 
 in 
 
 CO 
 
 CO 
 
 CO 
 
 
 CO 
 
 rH 
 
 
 52 
 
 3 
 
 
 
 (N 
 
 r-l 
 
 CO 
 
 in 
 
 (M 
 
 00 
 
 r-t 
 
 
 
 
 
 r-l 
 
 
 
 
 
 
 
 
 
 
 rH 
 
 
 d 
 
 
 h 
 
 
 
 
 
 
 
 
 
 
 
 
 •^ 
 
 
 in 
 
 in 
 
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 CO 
 
 CO 
 
 CO 
 
 o 
 J-' 
 
 CO 
 
 d 
 
 
 rH 
 
 rH 
 
 
 8 
 
 8 
 
 
 rH 
 
 i-H 
 
 (N 
 
 ■* 
 
 r-{ 
 
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 r-l 
 
 
 
 
 
 
 
 
 
 
 
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 ^ 
 
 
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 fe 
 
 1— 1 
 
 
 rH 
 
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 r-i 
 
 
 
 
 
 
 
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 rH 
 
 
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 •— * 
 
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 Oi 
 
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 1 
 
 3 
 
 
 in 
 
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 t-^ 
 
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 rH 
 
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 co' 
 
 
 r-i 
 
 
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 s 
 
 
 
 
 
 
 
 
 
 
 
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 rH 
 
 s 
 
 
 
 
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 o 
 
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 c 
 
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 ^ 
 
 
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 r-i 
 
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 ^ 
 
 
 
 1 
 
 
 
 
 1 
 
 
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 1 
 
 d 
 
 T 
 
 d 
 
 o 
 
 
 U 
 
 .2 
 
 
 b 
 
 a 
 
 03 
 
 J3 
 
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 IH 
 
 > 
 
 x: 
 
 00 
 
 •a 
 
 3 
 
 o- 
 
 15 
 
 in 
 t-i 
 
 e 
 
 n 
 1 
 
 in 
 
 a 
 ca 
 
 M 
 
 a> 
 
 ■4J 
 
 o 
 
 rH 
 
 + 
 
 O 
 W 
 
 3 
 
 « 
 
 n 
 
 
 3 
 
 3 
 
 S] 
 
 pq 
 
 on 
 
 V 
 
 bo 
 
 Sn 
 
 in 
 i-i 
 
 o 
 
 ■»-> 
 
 a 
 
 8 a 
 
 CO 
 
 'CM 
 
 in 2 
 rH ^^ 
 
 M • 1 
 
 to "3 t 
 
 1 
 
 8 
 1 
 
 o 
 
 rH 
 
 d 
 
 in 1 
 
 IM 
 
 r-< t. 
 
 1 
 
 a ca 
 x: bo 
 
 c 
 
 ■h (h 
 
 s 
 
 rH 
 
 1 
 
 1 
 8 
 
 r- 
 1 
 
 OS 1 
 
 t 
 
 C 
 a 
 
 rH 
 
 a 
 
 x: 
 n 
 
 2 
 
 3 
 
 a 
 
 it ' 
 t 
 
 C 
 a 
 
 rH 
 
 1 
 
 
 
 
 o 
 
 
 ^1 
 
 Ho 
 
 O) en 6o 
 
 i4 «* 
 
 
 s^ bo 
 
 CO CO 
 
 
 1 
 
 
 
 _3 
 3 
 
 
 
 
 
 
 
 
 03 
 
 «^ 
 
 fi-H 
 
 CO 
 
 £ 
 
 (O 
 
 3 
 
 
 Cii o09) 
 
 
 
 oS'SI 
 
 ■a 
 o 
 
 
 
 b(i 
 
 Ol 
 Ol 
 
 ^ 
 2 
 
 
 bo 
 <5 
 
 
 ossv 'lua 
 
 MO 
 
 •s -n 
 
 1^ 
 
 
 
 o 
 
 
 00 
 
 
 
 as 
 
 
 
 ^ 
 
 IJAB 
 
 IS 
 
 OBiOi 
 
 )(IS 
 
 
 388 
 
TABLE 68. 
 Time Required to Freeze Ice in Cells or Cans, (a) (Slebert).* 
 
 
 Thickness in inches 
 
 Temp. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 deg. F. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 11 
 
 12 
 
 10 
 
 0.32 
 
 1.28 
 
 2.86 
 
 5.10 
 
 8.00 
 
 11.5 
 
 15.6 
 
 20.4 
 
 25.8 
 
 31.8 
 
 38.5 
 
 45.8 
 
 12 
 
 0.35 
 
 1.40 
 
 3.15 
 
 5.60 
 
 8.75 
 
 12.6 
 
 17.3 
 
 22.4 
 
 28.4 
 
 35.0 
 
 42.3 
 
 53.4 
 
 14 
 
 0.39 
 
 1.56 
 
 3.50 
 
 6.22 
 
 9.70 
 
 14.0 
 
 19.0 
 
 25.0 
 
 31.5 
 
 39.0 
 
 47.0 
 
 56.0 
 
 16 
 
 0.44 
 
 1.75 
 
 3.94 
 
 7.00 
 
 11.00 
 
 15.8 
 
 21.5 
 
 28.0 
 
 35.5 
 
 43.7 
 
 53.0 
 
 63.0 
 
 18 
 
 0.50 
 
 2.00 
 
 4.50 
 
 8.00 
 
 12.50 
 
 18.0 
 
 24.5 
 
 32.0 
 
 40.5 
 
 50.0 
 
 60.5 
 
 72.0 
 
 20 
 
 0.58 
 
 2..S2 
 
 5.25 
 
 9.30 
 
 14.60 
 
 21.0 
 
 28.5 
 
 37.3 
 
 47.2 
 
 58.8 
 
 70.5 
 
 84.0 
 
 22 
 
 0.70 
 
 9.80 
 
 6.30 
 
 11.20 
 
 17.50 
 
 25.2 
 
 34.3 
 
 44.8 
 
 56.7 
 
 70.0 
 
 84.7 
 
 If 0.0 
 
 24 
 
 0.88 
 
 3.50 
 
 7.86 
 
 14.00 
 
 21.00 
 
 31.5 
 
 42.8 
 
 56.0 
 
 71.0 
 
 87.5 
 
 106.0 
 
 126.0 
 
 (a) Time required from one wall, for plate ice, two times the above values. 
 
 TABLE 69. 
 Standard Sizes of Ice Cans.f 
 
 Size of 
 
 Size of 
 
 Size of 
 
 Inside 
 
 Outside 
 
 Size of 
 
 cake, in 
 
 top, 
 
 bottom. 
 
 depth. 
 
 depth. 
 
 band. 
 
 pounds 
 
 inches 
 
 inches 
 
 inches 
 
 inches 
 
 inches 
 
 50 
 
 8x8 
 
 71^x71/^ 
 
 31 
 
 32 
 
 y4xiV2 
 
 100 
 
 8x16 
 
 71/4x15^ 
 
 31 
 
 32 
 
 1/4x11/2 
 
 200 
 
 111/2x221/2 
 
 101/2x211/2 
 
 31 
 
 32 
 
 1/4x2 
 
 300 
 
 111/2x221/2 
 
 101/2x211/2 
 
 44 
 
 45 
 
 y4x2 
 
 400 
 
 111/2x221/2 
 
 101/2x211/2 
 
 57 
 
 58 
 
 ^X2 
 
 TABLE 70. 
 Cold Storage Temperatures for Various Articles.* 
 
 Article 
 
 Temp. 
 
 deg, 
 
 F. 
 
 32-36 
 34 
 40-45 
 32-40 
 36-40 
 
 40 
 32-38 
 
 34 
 
 40 
 32-34 
 32-33 
 
 40 
 30-40 
 45-50 
 
 35 
 34-36 
 
 35 
 
 39 
 
 55 
 33-35 
 
 55 
 25-30 
 
 35 
 
 Article 
 
 Fruits ._ 
 
 Temp. 
 
 deg. 
 
 F. 
 
 26-55 
 
 35-40 
 
 35 
 
 35 
 25-32 
 25-28 
 
 15-28 
 
 36-38 
 
 30-35 
 
 33-40 
 
 45 
 
 34-45 
 
 36-40 
 
 35 
 
 34 
 
 25-28 
 
 32 
 
 35 
 
 40 
 
 35 
 
 35 
 
 34-40 
 
 Article 
 
 Temp. 
 
 deg. 
 
 F. 
 
 Apples 
 
 Asparagus 
 
 Bananas 
 
 Beans (dried) .. 
 Berries (fresh).. 
 Buckwheat 
 flour .- 
 
 Oranges 
 
 Oysters 
 
 Oysters (in 
 
 tubs) 
 
 Oysters (in 
 
 shells) 
 
 Peaches 
 
 Pears 
 
 Peas (dried) ... 
 
 Pork _ 
 
 Potatoes 
 
 Poultry 
 
 (frozen) 
 
 Poultry (to 
 
 freeze) 
 
 Sugar, etc. 
 
 Syrup 
 
 45-50 
 
 Fruits (dried).. 
 
 Fruits (canned) 
 
 Furs (un- 
 dressed) 
 
 Furs (dressed) _ 
 
 Game (frozen).. 
 
 Game (to 
 freeze) 
 
 Grapes 
 
 Hams 
 
 33-35 
 
 25 
 
 33 
 45-55 
 
 Butter 
 
 34-36 
 
 Cabbage 
 
 Cantaloupes _.. 
 Celery 
 
 40 
 
 34 
 
 36-40 
 
 Cheese _ - 
 
 Hops 
 
 
 Chocolate 
 
 Honey 
 
 28-30 
 
 Cider 
 
 Lard 
 
 
 Claret 
 
 Lemons 
 
 Meat (canned) __ 
 
 Meat (fresh) 
 
 Meat (frozen) _. 
 Milk 
 
 18-22 
 
 Corn (dried) 
 
 Cranberries _ _ 
 
 40-45 
 35 
 
 Cream 
 
 Tobacco 
 
 Tomatoes 
 
 Vegetables 
 
 Watermelons _. 
 Wheat flour ... 
 Wines 
 
 35 
 
 Cucumbers 
 
 36 
 
 Dates 
 
 Nuts 
 
 34-40 
 
 Eggs 
 
 Oat meal 
 
 Oil 
 
 34 
 
 Figs _ _ 
 
 40 
 
 Fish (fresh) _._ 
 
 Oleomargarine _ 
 Onions 
 
 40-45 
 
 Fish (dried) _.. 
 
 Woollens, etc... 
 
 25-32 
 
 ♦Tayler. P. B. of R. 
 
 tAs adopted by the Ice Machine Builders' Association of the U. S. 
 
 389 
 
r 
 
 1 
 
APPENDIX III 
 
 391 
 
T( «ta of House Heating: Boilers. 
 
 The following extract from a series of tes-ts on a Num- 
 ber S-48-.7 Ideal Sectional Boiler from the reports of the 
 American Radiator Company's Institute of Thermal Re- 
 search, Buffalo, New York, will be of interest. 
 
 Size of grate. 48x64*/^ in. Grate area 21.6 sq. ft. 
 
 Heating surface— total 3u0.0 sq. ft. 
 
 Hard Hard 
 
 0— Fuel used in tests Coal Coal 
 
 1— No. of boiler _ S-48-7 S-48-7 
 
 2— Duration of test hours 8:00 7:00 
 
 4— Fuel burned during test, lbs _ 1360.00 1344.00 
 
 5— Fuel per hour, lbs. _-_ 170.00 192.00 
 
 6— Fuel per sq. ft. grate per hour, lbs 7.90 8.95 
 
 7— Stack temperature, degrees Fahrenheit 750.00 725.00 
 
 8 — Evaporation per sq. ft. of heating surface 
 
 per hour, lbs. 4.97 5.60 6.24 
 
 9— Evaporative power available — lbs. of water 
 
 per lb. of coal _ __ 8.80 8.75 8.77 
 
 10— Boiler-power (evaporation per hour)— lbs. 
 
 (item 5 X item 9) 1496.00 1680.00 1562.00 
 
 11— Capacity— sq. ft. (item 10 4- 0.22) 6800.00 7640.00 7100.00 
 
 12— Capacity— sq. ft. (item 10 -=- 0.25) 5980.00 6720.00 6250.00 
 
 Catalog rating _ ._.570O sq. ft. 
 
 Hard 
 Coal 
 S-48-7 
 
 8:00 
 
 1434. CO 
 
 178.20 
 
 8.35 
 600.00 
 
 The accompanying figure shiows the combustion chart 
 as developed for this same boiler. The tests were run to 
 
 find the evaporative power and ca- 
 pacity with varying amounts of 
 coal burned per hour. Coal was 
 fired at regular intervals and the 
 steam pressure was maintained at 
 two pounds gage on the radiation. 
 Line 11 gives the capacity In 
 square feet of radiation including 
 m'alns and risers, at the rate of 
 .22 pound of steam per square 
 foot per hour. Line 12 gives the 
 capacity at .25 pound of steam per 
 square foot per hour. In average 
 service about one-third of these 
 quantities of coal would be burned. The catalog rating Is 
 based upon burning 167.5 pounds of coal per hour and an 
 evaporation of 8.5 pounds of water per pound of coal (rates 
 of combustion and evaporation that seem jus>tlfiable). As 
 
 A 
 
 1600 
 K 1500 
 O 1400 
 5 '303 
 ^«200 
 
 2 noo 
 "» tooo 
 
 ■J; 
 
 ° 800 
 O 7C^ 
 
 eoo 
 
 BOO 
 
 
 
 
 
 
 
 
 
 X 
 
 9 
 
 
 
 
 
 
 
 
 y 
 
 
 
 
 
 
 
 
 ^ 
 
 'Bails 
 italogu 
 Rating 
 
 
 
 
 
 
 / 
 
 
 
 
 
 
 / 
 
 iC 
 
 
 
 
 
 
 
 y 
 
 / 
 
 
 
 
 
 
 
 / 
 
 
 
 
 5-48- 
 
 7 
 
 ^ 
 
 ) 
 
 \ 
 
 
 
 
 
 
 
 / 
 
 r 
 
 
 
 
 
 
 
 
 / 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 HARD 
 
 100 125 150 175 2 
 COAL BURNED PER HOUR (POU^ 
 
 
 DS] 
 
 392 
 
will be seen from lines 5 and 9 the actual amount of coal 
 burned and the actual evaporation in each test exceed this 
 figure. Multiplying 167.5 by the assumed evaporative rate 
 of 8.5 and dividing by .25 = 5700 square feet. Comparing 
 with column 2, line 5 times line 9 divided by .25 gives 6720 
 square feet, which is above the catalog rating. Test number 
 two compared with test number one shows that by in- 
 creasing the amount of coal from 170 pounds to 192 pounds 
 per hour increases the boiler capacity 740 square feet. 
 
 SVi 
 
Data Required for Elstimatlng: Plain Hot Water or Steam 
 
 Plants. 
 
 Name © = 
 
 of =1. 
 
 room 2 = 
 
 Size of « 
 room -S 6C , 
 
 e 
 
 X 
 
 e 
 X 
 
 Radiators 
 Steam or water 
 
 
 u 
 
 C X 
 
 - -S i 
 
 ^ S C X 
 
 ? tl 1 1 
 
 t, I- — "Z zz 
 
 X , 
 
 , Kemarr?: 
 CoW floor, 
 ceiling, etc. 
 
 "si 
 
 •Mil 
 
 1 1 ! 
 
 
 J 
 
 1 1 
 ..................... . 
 
 1 1 i 
 
 1 1 
 JJ...'. 
 
 _ _, 
 
 — » 
 
 .,^_ 
 
 ""1 
 
 r 
 
 'J 
 
 1 
 
 ... 
 
 1 1 
 
 ___ 
 
 1 
 
 — 
 
 — 
 
 ._ 
 
 1 
 "1 
 
 Date 191._- 
 
 Owner of buHding .\adress 
 
 Architect .\ddress 
 
 Kind of building Location 
 
 Nearest freight station 
 
 Temperature in living rooms Kind of fuel used 
 
 Height of cellar Size of smoke flue x in. 
 
 Items to Estimate on. 
 
 Boiler and fotmdatioo 
 
 Smoke pipe and damper 
 
 Thermometers and pressure and safety gages 
 
 Draft regulation 
 
 Firing tools 
 
 Filling and blow-off connection 
 
 Pipe and fittings 
 
 Sq. ft. of radiation 
 
 Cut-off valves and radiator valves 
 
 Air valves 
 
 Radiator wall shields 
 
 Temperature control 
 
 Humidifying apparatus 
 
 Floor and ceiling plates 
 
 Hangers 
 
 Expansion tank 
 
 Cold air ducts, stack boxes and registers 
 
 Pipe covering 
 
 Bronzing 
 
 Labor of installation 
 
 Freight and cartage 
 
 Percent, of profit 
 
 Total tid 
 
 Submitted by 
 
 394 
 
INDEX 
 
 Absolute pressure, 12 
 temperature, 12 
 
 Absorbers, 300 
 
 Absorption system of refrigeration, 
 294 
 and compression system compared, 
 
 302 
 system condensers for, 299 
 system, elevation of, 296 
 system pumps for, 301 
 
 Accelerated systems hot water, 95 
 
 Adaptation of district steam to pri- 
 vate plants, 267 
 
 Advantages of vacuum systems, 142 
 
 Air, amount to burn carbon, 35 
 circulation furnace system, 53 
 circulation within room, 76 
 composition, 16 
 duct, fresh, 59 
 
 exhausted, actual from nozzle, 188 
 exhausted per hour plenum system, 
 
 170 
 h. p. in moving, 192 
 h. p. in moving, table, 186 
 humidity of, 25 
 leakage, heat loss by, 43 
 moisture required by, 30 
 needed plenum system, 172 
 per person, table, 24 
 required as heat carrier, 54 
 temperature at register, 56 
 valves, 112 
 
 velocities of in convection, 31 
 velocities, measurement of, 32 
 velocities, plenum system, table, 
 
 172, 184 
 required, ventilating purposes, 21 
 washing and humidifying, 167 
 
 Ammonia for one-ton refrig., 385 
 solubility in water, 381 
 strength of liquor, '381 
 
 Anchors, types of, 221 
 
 Anemometer, 32 
 
 Appendix 
 table 1 squares, cubes, etc., 328 
 table 2 trigonometric functions, 
 
 334 
 table 3 equivalents of units, 834 
 table 4 properties of steam, 335 
 table 5 Naperian logarithms, 338 
 table 6 water conversion factors, 
 
 338 
 table 7 volume and wt. of dry air, 
 
 339 
 table 8 weight of pure water, 340 
 table 9 boiling points of water, 
 
 842 
 table 10 weight of water in air, 342 
 table 11 relative humidities, 343 
 
 table 12 properties of air, 344 
 table 13 dew points of air, 345 
 table 14 iuel values Am. coals, 34>' 
 table 15 cap. of chimneys, 349 
 table 16 equalization of smoke 
 
 flues, 350 
 table 17 dimensions of reg., 850 
 tables 18, 20 cap. of fur., 351, 352 
 table 19 cap. pipes and reg., 851 
 table 21 area vertical flues, 352 
 table 22 sheet metal dim., 358 
 table 23 weight of G. I. pipe, 354 
 table 24 sp. ht., etc., of substances. 
 
 855 
 tables 25, 26 water pressures, 856 
 table 27 wrought iron pipes, 357 
 table 28 expansion of pipes, 358 
 table 29 tapping list of rad., 358 
 table 30 pipe equalization, 359 
 table 31 cap. hot water risers, 360 
 table 32 cap. steam pipes, 860 
 table 83 cap. hot water pipes, 861 
 table 34 cap. hot water mains, 861 
 tables 35, 36 sizes of steam mains. 
 
 362, 863 
 table 37 friction in pipes, 364 
 table 38 grav. and vac. returns, 365 
 table 39 expansion tanks, 365 
 table 40 sizes of flanged fittings, 
 
 366 
 table 41 pipe fittings, 366 
 table 42 friction in air pipes, 367 
 table 43 temp, for testing steam 
 
 plants, 370 
 table 44 spec, for boilers, 371 
 table 45 heat trans, through pipe 
 
 covering, 872 
 table 46 factors of evap., 373 
 table 47 heat in feed water, 373 
 table 48 sizes of Vento heater, 874 
 table 49 steam used by engines, 375 
 tables 50, 51, 52 speeds, cap. and 
 
 h. p. of various fans, 376, 
 
 378 
 table 53 freezing mixtures, 380 
 table 54 properties of ammonia, 
 
 880 
 table 55 sol. of ammonia in water, 
 
 881 
 table 56 strength of ammonia 
 
 hquor, 881 
 table 57 prop, of sulphur dioxide. 
 
 882 
 table 58 prop, of carbon dioxide, 
 
 382 
 table 59 boiling pts. of Hquids, 383 
 table 60 calcium brine sol., 388 
 table 61 salt brine sol., 384 
 table 62 horse-power for refrig., 384 
 
 ;-95 
 
S96 
 
 INDEX 
 
 table 63 ammonia for one-ton 
 
 refrig., 385 
 table 64 refrigeration caps., 385 
 table 65 cost of ice making, 386 
 table 66 temperature of ammonia, 
 
 387 
 table 67 hydrometer scales, 388 
 table 68 time to freeze ice, 389 
 table 69 sizes of ice cans, 389 
 table 70 temp, for cold storage, 389 
 
 Application of formula in furnace 
 heating, 62 
 of plenum system, 200 
 
 Area of ducts, plenum system, 172 
 of chimney determination of, 35 
 of grate, 59 
 
 Arrangement of Vento heaters, 161 
 of coils, plenum system, 160 
 
 Automatic vacuum system, 149 
 valves, 149 
 
 Basement plans plenum system, 203 
 Belvac thermoflers, 148 
 Blowers and fans, speeds of, table, 
 197 
 
 work. Carpenter's rules, 194 
 Boilers, 251 
 
 feed pumps, 249 
 
 capacity and number of, 255 
 
 radiation supplied by, 252 
 
 plant capacity of, 255 
 
 steam, 108 
 
 tests of, 392 
 Boihng point of water, table, 342 
 Boiling points of liquids, 383 
 Brine cooling system, cap. of, 315 
 British thermal unit, 10 
 B. t. u. lost in plenum system, 176 
 Building materials, conductivities of, 
 40 
 
 Calcium brine solution, 383 
 Calculating chimney areas, 35 
 
 heat loss, 45-46 
 Calorie, 10 
 Carbon amount of air to burn, 35 
 
 dioxide, 18 
 
 dioxide per cent., table, 19 
 
 dioxide tests for, ]9 
 Carpenter's practical rules, 194 
 Cast radiators, 103 
 
 surfaces, plenum system, 161 
 Centrifugal pumps, 247 
 Check valve, HI 
 
 Chimney area, determination of, 35 
 Chimneys, 36 
 
 capacity of, table, 349 
 Circulating system for refrigerating, 
 302 
 
 duct in furnace design, 72 
 
 water to condense steam, 237 
 Classification of radiators, 104 
 Coal, fuel values of, table, 348 
 Coils, arrangement of in pipe heater, 
 180 
 
 arrangement of Vento in stacks, 
 182 
 
 heat transmission through, 174 
 
 heat transmission through Vento, 
 table, 177 
 
 sq. ft. for cooling, 311 
 
 surface, plenum system, 173 
 
 temp, leaving Vento, table, 180 
 Cold air system of refrigeration. 284 
 Combination systems, 110 
 
 heaters, 70 
 Comparison of furnace and other 
 
 systems, 51 
 Composition of air, 16 
 Compression and absorption system 
 compared, 302 
 
 systems, condensers for, 289 
 
 system t)f refrigeration, 280 
 Condensation, dripping from mains, 
 267 
 
 return to boilers, 133 
 Condenser, concentric tube. 289 
 
 enclosed, 290 
 
 for compression systems, 289 
 
 submerged, 290 
 
 for exhaust steam, 238 
 
 heating surface in, 239 
 Conduction, 14 
 
 of building material, table of, 40 
 Conduits, district heating, 2i2 
 Convection, 15 
 
 Conversion factors for water, 338 
 Coolers for weak liquor, 301 
 Cost of heating from central sta- 
 tion, 258 
 
 of ice making, 316, 386 
 
 Data for estimate, 394 
 Data, table for plenum system, 202 
 Design, hot water and steam, 114 
 Determination of pipe sizes, 121 
 Dew point, influence of on refrigera- 
 tion, 305 
 Dew points of air, 34.'; 
 Direct radiation, tapping list, table, 
 
 358 
 Dirt strainer, Webster, 147 
 District heating 
 
 adaptation to private plants, 267 
 
 amount of radiation supplied by 
 one horse-power exhaust steam, 
 237 
 
 amount of radiation supplied. 2.^7 
 
 amount of radiation supplied by 
 reheater, 241 
 
 application to typical design, 268 
 
 boiler feed pumps, 249 
 
 boilers, 251 
 
 by steam, 264 
 
 capacity of boiler plant, 255 
 
 centrifugal pumps, 247 
 
 circulating pumps, 244 
 
 city water supply, 249 
 
 classification, 229 
 
 condensation from mains. 267 
 
INDEX 
 
 397 
 
 jonduits, 212 
 
 eost of heating, 258 
 
 eost, summary of tests, 260 
 
 design for consideration, 222 
 
 gripping condensation from mains, 
 
 267 
 diameter of mains, 265 
 sconomizer, 253 
 exhaust steam available, 223 
 future increase, 231 
 general application of design, 268 
 heat available in exhaust steam, 
 
 225 
 heating by steam, 264 
 heating surface in reheater, 239 
 high pressure steam heater, 244 
 hot water systems, 229 
 important reheater details, 242 
 layout for conduit mains, 218 
 power plant layout, 259 
 pressure drop in mains, 231, 265 
 radiation in district, 231 
 radiation supplied by 1 h. p. of ex. 
 
 St., 237 
 radiation supplied by economizer, 
 
 253 
 radiation supplied per boiler h. p., 
 
 252 
 references on district heating, 270 
 regulation, 263 
 reheater details, 242 
 reheater for circulating water, 238 
 reheater tube surface, 241 
 scope of work, 209 
 service connections, 235 
 steam available for heating, 236 
 systems classified, 229 
 typical design, 222 
 velocity of water in mains, 234 
 water per hour, as heating medium, 
 
 230 
 water to condense one pound of 
 
 steam, 237 
 Division of coils, plenum sys., 162 
 Ducts, furnace, cold air, 59 
 plenum system, 165-166 
 recirculating, 72 
 
 Economizers, 253 
 
 radiation supplied by, 253 
 
 surface, 255 
 Efficiency of plenum coils, table, 175 
 Electrical heating, 279 
 
 formulas used in, 279 
 
 future of, 282 
 
 references, 282 
 Electric pumps, 137 
 Engine, size of, 197 
 Equivalents of units, 334 
 Evaporators for refrig., 292 
 Exchangers, 301 
 Exhaust steam available in district 
 
 plants, 223 
 Exhaust steam condenser, 238 
 
 Expansion joints, 218 
 
 tanks, 113, 365 
 Exposure heat losses, table, 43 
 
 Factors of evaporation, 373 
 Factor table, velocity and vol., 188 
 Fans and blowers, 155 
 
 drives, 195 
 
 housings, 157 
 
 power of engine for, 197 
 
 size of parts, 195 
 
 speed of, 196 
 Fire places, stoves, etc., 153 
 Fittings, steam and hot water, IIO, 
 
 366 
 Floor plans for furnace heating, 
 
 64-66 
 Floor plans for plenum sys., 203-205 
 FormiUas, empirical for radiation, 
 
 117 
 Freezing mixtures, 380 
 Fresh air duct, 59-71 
 Fresh air entrance to bldgs., 159 
 Friction diagrams, 368, 369 
 
 in pipes, 364 
 
 of air in pipes, 367 
 Fuel values of Am. coals, table, 348 
 Furnace, 
 
 air circulation within room, 76 
 
 foundations, 71 
 
 heating, 51 
 
 location, 71 
 
 selection, 67 
 Furnace system, air circulation, 53 
 
 air required as heat carrier, 54 
 
 circulating duct in, 72 
 
 design of, 62 
 
 essentials of, 52 
 
 fan in, 77 
 
 fresh air duct in, 71 
 
 grate area in, 59 
 
 gross register area in, 57 
 
 heat stacks, sizes of, 57 
 
 heating surface in, 61 
 
 leader pipes in, 59, 73 
 
 net vent register in, 56 
 
 plans for, 64 
 
 points •■" be calculated in, 53 
 
 registers, temperatures in, 56 
 
 stacks or risers in, 74 
 
 three methods of installation, 55 
 
 vent stacks, 76 
 
 Gage pressure, 12 
 
 Gallon degree calculation, 315 
 
 Gate valve. 111 
 
 Generators, 298 
 
 Globe valve, 111 
 
 Grate area, boilers and heaters, 123 
 
 Grate area for furnaces, 59 
 
 Greenhouse heating, 118 
 
 Gross register area, 51 
 
 Hammer, water, 1.S3 
 
398 
 
 INDEX 
 
 Heat given off by persons, lights, 
 etc., 49 
 
 latent, 13 
 
 measurement of, 10 
 
 mechanical equivalent of, 13 
 
 stacks, sizes of, 57, 74 
 Heaters, hot water, 108 
 Heating, district, cost of, 258 
 Heating surface in coils, plenum sys- 
 tem, 159 
 
 Heating sur., in economizer, 254 
 
 in furnace system, 61 
 
 in reheater, 239 
 
 per h. p. in reheater, 241 
 Heat loss, 43, 44, 45, 46 
 
 calculation of, 45 
 
 calculation for refrig., 308 
 
 chart, 81 
 
 combined, 47 
 
 for a 10 room house, table, 63 
 High pressure heater, 244 
 High pressure steam trap, 134 
 Horse-power, in moving air, 192 
 
 of engine for fan, 197 
 
 required to move air in plenum sys- 
 tem, 193 
 Hot air pipes, cap. of, table, 351 
 
 water heaters, 106 
 
 water pipes, capacity of, table, 361 
 
 water radiators, 106 
 
 water risers, cap. of, table, 360 
 
 water system, 85 
 
 water used in indirect coils in ple- 
 num system, 183 
 Hot water and steam heating, 
 
 accelerated systems, 95 
 
 calculation of rad. sur. for, 114 
 
 classifications, 87 
 
 connection to radiators, 124 
 
 determination of pipe sizes, 121 
 
 diagrams for, 91 
 
 empirical formula for, 117 
 
 expansion tank for, 113 
 
 for district heating, 229 
 
 fittings, no 
 
 grate area for heaters, 123 
 
 greenhouse radiation, 118 
 
 layout, 128 
 
 location of radiators for, 124 
 
 parts of, 85 
 
 pitch of mains for, 124 
 
 principles of design of, 114 
 
 second classification of, 88 
 
 suggestions for operating, 137 
 
 temperature, table, 120 
 Humidity of the air, 25 
 Humidities, relative, table, 343 
 Hydrometric scales, 388 
 Hygrodeik, 27 
 Hygrometer, 26 
 Hygrometric chart, 29 
 
 Ice making, 
 capacity, calculation, 314 
 costs of, 316 
 
 Indirect radiators, 88 
 
 Insulation of steam pipes, 131. 309 
 
 'K' values for pipe colls, table, 174 
 'K' values for Vento coils, 177 
 
 Latent heat, 13 
 
 Layout for furnace system, 64 
 
 for hot water heating plant, 128 
 
 for plenum system, 16:5 
 
 of power plant, 259 
 
 main and riser, 131 
 
 stea-m mains and conduits, 218 
 Leader pipes, 58 
 Location of furnaces, 71 
 
 of radiators, 124 
 Low pressure steam traps, 133 
 
 Main and riser layout, 131 
 
 Mains, cap. of hot water, table, 361 
 
 condensation, dripping from, 267 
 
 diameter of, 234 
 
 pitch of, 124 
 
 pressure drop and diam. of, 265 
 
 velocity of water in, 234 
 Manholes, 222 
 Measurement of air velocities. 32 
 
 of heat, 10 
 
 of high temperatures, 11 
 Mechanical equivalent of heat, 13 
 Mechanical vacuum steam lug. sys.. 
 
 advantages of, 142 
 
 automatic pump for, 144 
 
 automatic system, 149 
 
 Dunham system, 150 
 
 Paul system, 150 
 
 principal features of, 143 
 
 Van Auken, 148 
 
 Webster system, 145 
 Mechanical warm air heating and 
 ventilating sys., 153, 169, 184 
 
 blowers and fans for, 155 
 
 definitions of terms, 169 
 
 elements of, 153 
 
 exhaust, 154 
 
 heat loss and cu. ft. air exhausted, 
 170 
 
 theoretical considerations for, 169 
 
 variations in design of, 154 
 Mills system (attic main), 90, 93 
 Modulation valve for Webster sys 
 
 tern, 147 
 Moisture, addition of, to air, 30 
 
 with air, 25 
 
 Naperian logarithms, table, 338 
 Nitrogen, 17 
 'n,' values of, 47 
 
 Operation of furnaces, 78 
 
 of hot water heaters and steam 
 boilers, 137 
 
 suggestions for, 137 
 Outside temp, for design, 79 
 Oxygen, 17 
 
INDEX 
 
 399 
 
 149 
 
 of 
 
 Packless valves, 112 
 Paul sys. of mech. vac. heating, 150 
 typical piping connections for, 150 
 Pipe coil radiators, 104 
 capacity of, in sq. ft. of steam 
 
 radiation, 360 
 equalization, table of, 359 
 for refrigeration, 294 
 line refrigeration, 306 
 sizes, determination of, 121 
 Pipe, leader, 58 
 Piping connection around heater and 
 
 engine, 200 
 connections for auto. vac. sys. 
 connections for Paul sys., 151 
 for heating sys. definitions, 86 
 system for automatic control 
 
 Webster system, 147 
 Pitot tubes, 33 
 Plans and speci. for htg. sys., 318 
 
 typical specifications, 319 
 Plenum system, actual amount of 
 
 air exhausted in, 188 
 air needed cu. ft. per hour in, 172 
 air velocity , table, 186 
 air velocity theoretical in, 184 
 air washing and humidifying, 167 
 amount of steam condensed, 183 
 application of to school bldgs., 200 
 approximate rules for, 178 
 approximate sizes of fan wheels, 
 
 table, 195 
 arrangement of coils in pipe heat- 
 ers, 180 
 arrangement of sees, and stacks in 
 
 Vento heaters, 182 
 basement plans for, 203 
 blower fans, actual h. p. to move 
 
 air, 193 
 Carpenter's rules for, 194 
 cast surface for, 161 
 coil surface in, 173 
 cross sectional area ducts, regis- 
 ters, etc., 172 
 data, table, 202 
 division of coil surface in, 162 
 double ducts in, 166 
 dry steam needed in excess of exh. 
 
 from engine, 183 
 efficiency and air temp., table, 175 
 factors for change of velocity and 
 
 volume, table, 188 
 fan drives for, 195 
 final air temperature in, 179 
 floor plans for, 203-205 
 heating surface in coils of, 173 
 heating surfaces, 159 
 h. D. of engine for fan for, 192 
 h. p. to move air, table, 186 
 'K,' values of, 174 
 layout, 163, 164 
 piping connections around heater 
 
 and engine, 200 
 pressure and velocity, results of 
 
 tests of, 189 
 
 single duct in, 165 
 
 speed of blower fans, table, 197 
 
 speed of fans for, 196 
 
 temp, of air at register in, 171 
 
 temp, of air leaving coils, 180 
 
 total B. t. u. transmitted per hr., 
 table, 176 
 
 use of hot water in indirect coils, 
 183 
 
 values of 'c,' 176 
 
 values of 'K,' 174 
 
 velocity of air escaping to atmos 
 phere, table, 187 
 
 work done in moving air, 192 
 Power plant layout, 259 
 Pressed steel radiators, 103 
 Pressure, absolute, 12 
 
 and velocity, results of tests, 189 
 
 gage, 12 
 
 in ounces per sq. in., table, 356 
 
 water in mains, 231 
 Principal features of mechanical vac- 
 uum heating system, 143 
 Properties of air, table, 344 
 
 of ammonia, table, 380 
 
 of carbon dioxide, table, 382 
 
 of steam, table, 335 
 
 of sulphur dioxide, table, 382 
 Psychometric chart, 345 
 Pumps, boiler feed, 249 
 
 centrifugal, 247 
 
 circulating, 244 
 
 city water supply, 249 
 
 electric, 137 
 
 for absorption system, 301 
 
 for mech. vac. steam heating, 144 
 
 Radiation, 14 
 
 amount of, one sq. ft. reheater 
 tube surface will supply, 241 
 
 amt. supplied by economizer, 253 
 
 amt. supplied by one h. p., 252 
 
 hot water, 106 
 
 one lb. exh. steam will supply, 237 
 
 supplied by 1 h. p. exh. steam, 237 
 
 sur. to heat circulating water, 254 
 
 surface to heat feed water, 255 
 Radiators, amt. of surface on, 108 
 
 cast, 103 
 
 classification of, 104 
 
 columns of, 104 
 
 direct, 87 
 
 direct-indirect, 87 
 
 height of, 106 
 
 indirect, 88 
 
 location and connection of, 124 
 
 pipe coil, 104 
 
 pressed steel, 103 
 
 sizes, etc., lor ten room house 
 table, 127 
 
 sizes, table of, 108 
 
 steam, 106 
 
 surface calculation for, 114 
 
 sur. effect on trans, of heat, 107 
 I tapping list. 358 
 
400 
 
 INDEX 
 
 Recirculating duct, 72 
 Rectifiers, 298 
 References, 
 
 district heating, 270 
 
 electrical heating, 282 
 
 furnace heating, 84 
 
 heat loss, 50 
 
 hot water and steam heating, 139 
 
 plenum heating, 206 
 
 vacuum heating, 152 
 
 ventilation and air supply, 38 
 
 refrigeration, 318 
 Refrigeration, 
 
 absorbers, 300 
 
 absorption and compression sys- 
 tems compared, 302 
 
 absorption system, 294 
 
 absorption system, elevation of, 
 296 
 
 capacity of brine cooled system, 
 315 
 
 capacities, table, 385 
 
 circulating system, 302 
 
 classification of systems, 283 
 
 coils, sq. ft. cooling, 311 
 
 cold air system, 284 
 
 compression system, 286 
 
 condenser, 289 
 
 coolers for weak liquor, 301 
 
 costs of ice making, 316 
 
 evaporators, 292 
 
 exchangers, 301 
 
 gallon degree calculation, 315 
 
 general application, 313 
 
 generators, 298 
 
 horsepower for, 384 
 
 heat loss, 308 
 
 ice making cap. calculation, 314 
 
 influence of dew point, 305 
 
 methods of maintaining low temp., 
 303 
 
 pipe line, 306 
 
 pipes, valves and fittings, 294 
 
 pump for absorption system, 301 
 
 rectifiers, 298 
 
 vacuum system, 284 
 Register, area of, 56 
 
 dimensions of, table, 350 
 
 ducts, area of, 172 
 
 sizes, net heat, 56 
 
 temperature, 56 
 Regulation, district heating, 261 
 
 Sylphon damper, 273 
 Room temperature, standard, 47 
 
 Salt brine solution, 384 
 Service connections, 235 
 Sheet metal dimensions, 353 
 Single duct, plenum system, 165 
 Sizes of fan wheels, approximate, 
 
 table, 195 
 Sizes of ice cans, 389 
 Smoke flues, equalization of, 350 
 Specifications for plans, 319 
 for boilers, 371 
 
 Specific heat, 13 
 
 heats, etc., of substances, 355 
 Speeds of blower fans, 196 
 Squares, cubes, etc., table, 328 
 Stacks and risers, 74 
 Standard room temperature, 47 
 Steam and hot water fittings, 110 
 
 available for heating circulating 
 water, 237 
 
 boilers, 108 
 
 condensed per sq. ft. of heating 
 sur. per hour, plenum sys., 183 
 
 dry, needed in excess of engine ex 
 haust, 183 
 
 heater, high pressure, 244 
 
 heating, district, 264 
 
 loop, 135 
 
 mains, diameter of, 265, 362 
 
 pipe fittings, 366 
 
 pipe insulation, 131 
 
 radiators, 106 
 
 traps, high pressure, 134 
 
 used by engines, 375 
 Steam system, 85 
 
 amt. condensed in plenum sys., 183 
 
 classification, 87 
 
 diagrams for, 91 
 
 parts of, 85 
 
 second classification of. 88 
 Street mains and conduits, layout, 
 
 218 
 Suggestions for operating furnaces. 
 78 
 
 hot water heaters and boilers, 13T 
 Sylphon damper regulator, 273 
 
 Table 1 determination of COj, 21 
 Tables II, III volume of air per per- 
 son, 23, 24 
 Table IV conductivities of materials, 
 
 40 
 Table V exposure losses, 44 
 Table VI values of t', 48 
 Table VII values of to, 49 
 Table VIII heat given off by per 
 
 sons, lights, etc., 49 
 Table IX application to 10 room 
 
 res., 63 
 Table X size and sur. of rads.. 108 
 Table XI temp, of water in mains, 
 
 120 
 Table XII summary, h. w. htg., 127 
 Table XIII vel. in plenum sys., 172 
 Tables XIV-XVII efficiencies, of colls, 
 
 175, 177 
 Tables XVIII-XIX temp, of air on 
 
 leaving coils, 179, 180 
 Tables XX-XXII air pressure and 
 
 velocity, 186, 188 
 Table XXni sizes of fans, 195 
 Table XXIV speeds of fans, 197 
 Table XXV data for plenum sys., 202 
 Table XXVr heat loss from pipes. 217 
 Table XXVII pressure of water in 
 
 mains. 234 
 
INDEX 
 
 401 
 
 Table XXVIII cal. of conduit mains, 
 
 269 
 Table XXIX transmission through 
 
 insulation, 309 
 Table 1 squares, cubes, etc., 328 
 Table 2 trigonometric functions, 334 
 Table 3 equivalents of units, 334 
 Table 4 properties of steam, 335 
 Table 5 Naperian logarithms, 338 
 Table 6 water conversion factors, 
 
 338 
 Table 7 vol. and wt. of dry air, 339 
 Table 8 weight of pure water, 340 
 Table 9 boiling points of water, 342 
 Table 10 wt, of water and air, 342 
 Table 11 relative humidities, 343 
 Table 12 properties of air, 344 
 Table 13 dew points of air, 345 
 Table 14 fuel value of Am. coals, 348 
 Table 15 capacities of chimneys, 349 
 Table 16 equalization of smoke 
 
 flues, 350 
 Table 17 dimensions of registers, 350 
 Tables 18, 20 cap. of fur., 351, 352 
 Table 19 cap. of pipes and reg., 351 
 Table 21 area of vertical flues, 352 
 Table 22 sheet metal dimensions, 353 
 Table 23 weight of G. I. pipe, 354 
 Table 24 sp. ht., etc., of substances, 
 
 355 
 Tables 25, 26 water pressures, 356 
 Table 27 wrought iron pipes, 357 
 Table 28 expansion of pipes, 358 
 Table 29 tapping list of rad., 358 
 Table 30 pipe equalization, 359 
 Table 31 cap. of hot water risers, 360 
 Table 32 cap. of steam pipes, 860 
 Table 33 cap. of hot water pipes, 361 
 Table 34 cap. of hot water mains, 361 
 Tables 35, 36 sizes of steam mains, 362 
 Table 37 friction in pipes, 364 
 Table 38 grav, and vac. returns, 365 
 Table 39 expansion tanks, 365 
 Table 40 sizes of flanged fittings, 366 
 Table 41 dimensions of pipe fittings, 
 
 366 
 Table 42 friction in air pipes, 367 
 Table 43 temp, for testing plants, 
 
 370 
 Table 44 spec, for boilers, 371 
 Table 45 heat trans, through pipe 
 
 covering, 372 
 Table 46 factors of evaporation, 373 
 Table 47 heat in feed water, 373 
 Table 48 sizes of Vento heaters, 374 
 Table 49 steam used by engines, 375 
 Tables 50, 51, 52 speeds, cap., h. p. 
 
 of various fans, 376-378 
 Table 53 freezing mixtures, 380 
 Table 54 properties of ammonia, 380 
 Table 55 sol. of ammonia in water, 
 
 381 
 Table 56 strength of ammonia 
 
 liquor, 381 
 
 Table 57 properties of sulphur diox 
 
 ide, 382 
 Table 58 properties of carbon diox- 
 ide, 382 
 Table 59 boiling points of liquids, 383 
 Table 60 calcium brine solution, 383 
 Table 61 salt brine solution, 384 
 Table 62 horse-power for refrig., 3S4 
 Table 63 ammonia for one-ton re- 
 frig., 385 
 Table 64 refrigeration caps., 385 
 Table 65 cost of ice making, 386 
 Table 66 temperature of ammonia, 
 
 387 
 Table 67 hydrometer scales, 388 
 Table 68 time to freeze ice, 389 
 Table 69 sizes of ice cans, 389 
 Table 70 temp, for cold storage, 38'J 
 Tanks, expansion, 113, 365 
 Temperature absolute, 12 
 
 best for design, 79 
 
 chart, 81 
 Temp, control in heating sys., 271 
 
 Andrews system, 272 
 
 important points in, 275 
 
 in large plants, 274 
 
 Johnson system, 276 
 
 National system, 278 
 
 Powers system, 277 
 
 principle of system, 271 
 
 special designs of, 275 
 
 Sylphon damper control, 273 
 
 thermostat, 272 
 
 of air entering plenum system, 17 1 
 
 of air in greenhouses, table, 120 
 
 of air leaving coils in plenum sys 
 tem, 179 
 
 of ammonia, 387 
 
 for cold storage, 389 
 
 for testing plants, 370 
 
 measurement of high, 11 
 
 methods of obtaining low, 303 
 
 room standard, 47 
 Thermofiers, Belvac, 148 
 Thermostat, 272 
 
 thermostatic valve, 146 
 Time to freeze ice, 389 
 Traps, high pressure steam, 134 
 
 low pressure steam, 133 
 Trigonorqetric functions, 334 
 
 Under-feed furnaces, 69 
 
 Use of hot water in indirect coils, 183 
 
 Vacuum systems, 99 
 
 and gravity returns, 365 
 
 of refrigeration, 284 
 Values of 'c,' 176 
 
 of 'k,' 177 
 
 of 'n,' 47 
 
 of 't,' 48, 49 
 Valves, air, 112 
 
 automatic vacuum, 149 
 
 modulation valve, 147 
 
4o: 
 
 INDEX 
 
 thermostatic, 146 
 
 types of, 111 
 Velocity of air by application heat, 
 31 
 
 of air escaping to atmosphere, 187 
 Vent registers (net), 57 
 
 stacks, 58 
 Ventilation heat loss, 44 
 
 air required per person, 21 
 Vento coils, values of 'k' for, 177 
 Vento heater sizes, 374 
 Vertical hot air flues, table, 352 
 Volume and wt. of dry air, table, 339 
 
 Warm air fur., cap. of, table, 351 
 
 air heating cap., 352 
 Washing and humidifying of air, 167 
 
 Water, conversion factors, table, 33fc 
 
 hammer, 133 
 
 needed per hour in dist. htg., 230 
 
 pressure in mains, 231 
 
 pressure, table of, 234 
 
 seal motor, Webster, 145 
 
 weight of column corresponding to 
 air pressure in ozs., S56 
 
 weight of pure, table, 340 
 
 weight of water and air, table, 342 
 Webster system of vac. heating, 145 
 Weight of pure water, 340 
 Weight of G. I. pipe, 354 
 
 of water and air, table, 342 
 Work done in moving air, 192 
 Wrought iron and steel pipes, table, 
 357 
 
 expansion of, table, 358 
 
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