lifornia onal lity UNIVERSITY OF CALIFORNIA AT LOS ANGELES GIFT OF CAPT. AND MRS. PAUL MCBRIDE PERIGORD of AT LOS ANGELES LIBRARY ARTIFICIAL AND NATURAL FLIGHT. A Pockct-Book of Aeronautics. By H. W. L. MOEDEBECK. Translated from the German by Dr. W. MANSERGH VARLEY. With 150 Illustrations, los. 6d. net. CONTENTS. Gases Physics of the Atmosphere Meteoro- logical Observations Balloon Technics Kites and Parachutes On Ballooning Balloon Photography Photographic Surveying from Balloons Military Bal- looning Animal Flight Artificial Flight Airships Flying Machines Motors Air Screws Appendix Index. "Will be highly welcome to all aeronauts. It may be said to be the only complete work practically dealing with such matters. We have no hesitation in thoroughly recommending this as an absolutely indispensable book. '" Knowledge. "It is without a doubt the best book that has appeared 011 the subject." Aeronautical Journal. " The present volume ought certainly to be possessed by every student of Aeronautics, as it contains a vast amount of information of the highest value." Glasgow Herald. WHITTAKER & CO., LONDON, E.G. ARTIFICIAL AND NATURAL FLIGHT SIR HIRAM S. MAXIM. WITH 95 ILLUSTRATIONS. THE MACMILLAN CO., 64-66 FIFTH AVENUE, NEW YORK. WHITTAKER & CO., LONDON, E.G. 1908. 136510 TU PREFACE. IT was in 1856 that I first had my attention called to the subject of flying machines. My father, who was a profound thinker and a clever mechanician, seems to have given the subject a great deal of thought, and to have matured a plan identical with what has been proposed by hundreds since that time. I was then sixteen years of age, and a fairly good mechanician, and any new thing in the mechanical line interested me immensely. My father's proposed machine, of which he made a sketch, was of the Helicoptere type, having two screws both on the same axis the lower one to be right hand and mounted on a tubular shaft, and the top one to be left hand and mounted on a solid shaft running through the lower tubular shaft. These screws were to be rotated in reverse directions by means of a small pinion engaging a bevel gear attached to each of the shafts. His plan con- templated large screws with very fine pitch, and he proposed to obtain horizontal motion by inclining the axis forward. He admitted that there was no motor in existence light enough, but thought one might be invented, and that an engine might be worked by a series of ex- plosions in the cylinder, that is, what is known to-day as internal combustion ; but he was not clear how such an engine could be produced. He, however, said that a flying machine would be so valuable in time of war, that it mattered little how expensive the explosive might be, even if fulminate of mercury had to be used. It is interesting to note in this connection that the great Peter Cooper of New York thought out an identical machine about the same time, and actually commenced experiments. It seems that this gentleman regarded fulminate of mercury \L vi PREFACE. as altogether too feeble and inert, because we find that he selected chloride of nitrogen as his explosive agent. However, his work was soon brought to an end by the loss of the sight of one eye, after which time he had no further dealings with this lively explosive. The many early conversations that I had with my father on the subject kept the matter constantly before me, and I think it was in 1872, after having seen Roper's hot-air engine and Brayton's petroleum engine, that I took the matter up, and commenced to make drawings of a machine of the Helicoptere type, but instead of having one screw above the other, I saw at once that it would be much better if the two screws were widely separated, so that each would engage new air, the inertia of which had not been disturbed. The designing of the machine itself was a simple matter, but the engine gave me trouble. No matter from what point I examined the subject, the engine was always too heavy. It appears that the Brayton engine was shown at the Centennial Exhibition at Philadelphia in 1876, and that Otto visited this exhibition. Up to that time, he had been making a species of rocket engine that is, an engine in which an explosive mixture shot the piston upward and then sucked it back, a rack and pinion transmitting movement to the rotating shaft by means of a pawl and ratchet. He appears to have been much interested in the Brayton engine, as it was evidently very much in advance of his own. It actually developed, even at that time, one horse-power per hour for every pound of crude petroleum consumed, but it was very heavy indeed, very difficult to start, arid not always reliable. The shaft that worked the valve gear was parallel to the cylinder, and placed in the exact position occupied by a similar shaft in the present Otto engine, but instead of revolving only half as fast as the crank shaft, it made the same number of revolutions. On Otto's return to Germany, he evidently profited by what he had seen, and made a new engine, which in reality was a cross between his own and the PREFACE. vii Brayton ; the result was a very important invention, which has been of incalculable value to mankind. It is this engine which is now propelling our motor cars, and it is the only engine suitable for employment on a flying machine; but even this motor was not in a sufficiently high state of development as far as lightness was concerned, to be of any use to me. The drawings which I made in 1873, although of little or no value, kept my thoughts on artificial flight, and while I was away from home attending to business, especially when in foreign countries, I often amused myself by making mathematical calculations. Quite true, the formula which I used at the time Has well's was not correct ; still, it was near enough to the mark to be of considerable value. Moreover, the error in this formula affected the Helicoptere quite as much as the aeroplane system, and as I was working with the view of ascertaining the relative merits of the two systems, the error, although considerable, did not have any influence at all in the decision which I arrived at namely, that the aeroplane system was the best. The machine that I thought out at that time contemplated superposed aeroplanes of very great length from port to starboard. The size in the other direction was more for the purpose of preventing a rapid fall than for a lifting effect. I saw that it would be necessary to have horizontal fore and aft rudders placed a long distance apart, so as to prevent rapid pitching, and it appeared to me that the further these rudders were apart, the easier it would be to manoeuvre the machine. As I never had any doubts regarding the efficiency of screw propellers working in the air, I decided to use two of these of a large size rotating in opposite directions. Of course, all this speculation was theory only, but I verified it later on by actual experiments before I built my machine, and it is very gratifying to me to know that all the successful flying machines of to-day are built on the lines which I had thought out at that time, and found to be the best. All have superposed aeroplanes Viii PREFACE. of great length from port to starboard, all have fore and aft horizontal rudders, and all are driven with screw propellers. The change from my model is only a change in the framework made possible by dispensing with the boiler, water tank, and steam engine. Tn this little work, I have dealt at considerable length with air currents, the flight of birds, and the behaviour of kites, perhaps at the expense of some repetitions ; as the resemblance between kite flying and the soaring of birds is similar in many respects, repetitions are necessary. To those who go to sea in ships, it is necessary to know something of the currents they are liable to encounter ; if it be a sailing ship, certainly a knowledge of the air currents is of the greatest importance, and so it is with flying machines. If flights of any considerable distance are to be made, the machine is liable at any time to encounter very erratic air currents, and it has been my aim in discussing these three subjects air currents, birds, and kites to bring them before the would-be navigators of the air, in order that they may anticipate the difficulties they have to deal with and be ready to combat them. Then, again, there has been almost an infinite amount of discussion regarding the soaring of birds and the flying of kites. Many years ago, after reading numerous works on the subject of flight, I became a close observer myself, and always sought in my travels to learn as much as possible. I have attempted to discuss this subject in simple and easily understood language, and to present sufficient evidence to prevent the necessity of any further disputes. I do not regard what I have said as a theory, but simply as a plain statement of absolute and easily demonstrated facts. During the last few years, a considerable number of text-books and scientific treatises have been written on the subject of artificial flight, the most elaborate and by far the most reliable of these being the " Pocket-Book of Aeronautics," by Herman W. L. Moedebeck, Major und battaillons Kommandeur im Badischen Fussartillerie PREFACE. IX Regiment No. 14 ; in collaboration with O. Chanute and others. Translated by W. Mansergh Varley, B.A., D.Sc., Ph.D., and published by Whittaker & Co. This work does not, however, confine itself altogether to flying machines, but has a great deal of information which is of little or no value to the builder of true flying machines ; moreover, it is not simple enough to be readily understood by the majority of experimenters. In some other works which I have recently examined, I find a confusing mass of the most intricate mathematical calculations, abounding in an almost infinite number of characters, and extending over hundreds of pages, but on a close examination of some of the deductions arrived at, I find that a good many of the mathematical equations are based on a mistaken hypothesis, and the results arrived at are very wide of the truth. I have shown several diagrams which will explain what I mean. What is required by experimenters in flying machines and there will soon be a great number of them is a treatise which they can understand, and which requires no more delicate instruments than a carpenter's 2-foot rule and a grocer's scales. The calculations relating to the lift, drift, and the skin friction of an aeroplane are extremely simple, and it is quite possible to so place this matter that it can be understood by anyone who has the least smatter- ing of mathematical knowledge. Mathematics of the higher order expressed in elaborate formulae do very well in communications between college professors that is, if they happen to be agreed. When, however, these calcula- tions are so intricate as to require a clever mathematician a whole day to study out the meaning of a single page, and if when the riddle is solved, we find that these calculations are based on a fallacy, and the results in conflict with facts, it becomes quite evident to the actual experimenter that they are of little value. For many years, Newton's law was implicitly relied upon. Chanute, after going over my experimental work, wrote that Newton's law was out as 20 is to 1 that is, that an aeroplane would lift twenty times as much in practice as could be shown by the use of Newton's formula. Some recent experiments, which I have made myself, at extremely high velocities and at a very low angle, seem to demonstrate that the error is nearer 100 to 1 than 20 to 1. It will, therefore, be seen how little this subject was understood until quite recently, and even now the mathematicians who write books and use such an immense amount of formulae, do not agree by any means, as will be witnessed by the mass of conflicting controversy which has been appearing in Engineering during the last four months. When,- an aeroplane placed at a working angle of, say, 1 in 99 is driven through the air at a high velocity, it, of course, pushes the air beneath it downwards at one-tenth part of its forward velocity that is, in moving 10 feet, it pushes the air down 1 foot. A good many mathematicians rely altogether upon the acceleration of the mass of air beneath the aeroplane which is accelerated by its march through the air, the value of this acceleration being in proportion to the square of the velocity which is imparted to it. Suppose now that the aeroplane is thin and well-made, that both top and bottom sides are equally smooth and perfect ; not only does the air engaged by the under side shoot down- wards, but the air also follows the exact contour of the top side, and is also shot downwards with the same mean velocity as that passing on the underneath side, so if we are going to consider the lifting effect of the aeroplane, we must not leave out of the equation, the air above the aeroplane, which has quite as much mass and the same acceleration imparted to it, as the air below the aeroplane. Even calculations made on this basis will not bring the lifting effect of an aeroplane up to what it actually does lift in practice ; in fact, the few mathematicians who have made experiments themselves have referred to the actual lifting effect of aeroplanes placed at a low angle and travelling at a high velocity as being unaccountable. Only a few mathematicians appear to have a proper grasp of the subject. However, three could be pointed out who under- stand the subject thoroughly, but these are all mathe- maticians of the very highest order Lord Kelvin, Lord Rayleigh, and Professor Langley. In placing before the public, the results of my experiments and the conclusions arrived at, it is necessary to show the apparatus which I employed, otherwise it might be inferred that my con- clusions were guesswork, or mathematical calculations which might or might not be founded on a mistaken hypothesis ; this is my excuse for showing my boiler and engine, my rotating arm, and my large machine. I do not anticipate that anyone will ever use a steam engine again, because any form of a boiler is heavy ; moreover, the amount of fuel required is much greater than with an internal com- bustion engine, and certainly seven times as much water has to be dealt with. However, the description which I am giving of my apparatus will demonstrate that I had the instruments for doing the experimental work that I have described in this work. In the Appendix will be found a description of my machine, and some of my apparatus. The conclusions which I arrived at were written down at the time with a considerable degree of care, and are of interest because they show that, at that date, I had produced a machine that lifted considerably more than its own weight and had all of the essential elements, as far as superposed aeroplanes, fore and aft horizontal rudders, and screw propellers were concerned, common to all of the successful machines which have since been made. The fact that practically no essential departure has been made from my original lines, indicates to my mind that I had reasoned out the best type of a machine even before I commenced a stroke of the work. I have to thank Mr. Albert T. Thurston for reading the proofs of this work. H. S. M. CONTENTS. CHAPTER I. PAGE Introductory 1 CHAPTER II. Air Currents and the Flight of Birds, .11 CHAPTER III. Flying of Kites, 25 CHAPTER IV. Principally Relating to Screws, 31 CHAPTER V. Experiments with Apparatus Attached to a Rotating Arm Crystal Palace Experiments 62 CHAPTER VI. Hints as to the Building of Flying Machines Steering by Means of a Gyroscope, 77 CHAPTER VII. The Shape and Efficiency of Aeroplanes The Action of Aeroplanes and the Power Required Expressed in the Simplest Terms Some Recent Machines 99 CHAPTER VIII. Balloons, .'' . . . . . .120 APPENDIX I . . . . . . . 126 APPENDIX II. Recapitulation of Early Experiments Efficiency of Screw Propellers, Steering, Stability, &c. The Comparative Value of Different Motors Engines Experiments with Small Machines Attached to a Rotating Arm, 130 INDEX, . . 163 INDEX OF ILLUSTRATIONS. FIG. PAGE 1. Diagram showing the reduction of the projected horizontal area, . . . . . . t f 2. Professor Langley's experiments, .... 5 3. Eagles balancing themselves on an ascending current of air, . 14 4. Air currents observed in Mid- Atlantic, . . . .16 5. Glassy streaks in the Bay of Antibes, . . . .17 6. Air currents observed in the Mediterranean, . . .18 7. The circulation of air produced by a difference in temperature, 27 8. Kite flying, . . . . . .29 9. Group of screws and other objects used in my experiments, . 32 10. Some of the principal screws experimented with, . . 32 11. The three best screws, ...... 33 12. Apparatus for testing the thrust of screws, . . .34 13. Apparatus for testing the direction of air currents, . . 35 14. The ends of screw blades, . . . . .36 15. The manner of building up the large screws, . . .39 16. A fabric-covered screw, ...... 40 17. The hub and one of the blades of the screw on the Farman machine, ....... 42 18. Section of screw blades having radial edges, . . .43 1 9. Form of the blade of a screw made of sheet metal, . . 44 20. New form of hub, ....... 45 21. Small apparatus for testing fabrics for aeroplanes, . . 50 22. Apparatus for testing the lifting effect of aeroplanes and condensers, .... 51 23. Apparatus for testing aeroplanes, condensers, &c. , j .52 24. Cross-sections of bars of wood, . * . * .53 25. Sections of bars of wood, . . . l .54 26. A flat aeroplane placed at different angles, . 55 27. Group of aeroplanes used in experimental research, . . 56 28. An 8-inch aeroplane which did very well, . . .57 29. Resistance due to placing objects in close proximity to each other, ........ 58 30. Cross-section of condenser tube made in the form of Philipps' sustainers, ....... 60 31. The grouping of condenser tubes made in the form of Philipps' sustainers, t . . . . . , 61 32. Machine with a rotating arm, ..... 63 33. A screw and fabric-covered aeroplane in position for testing, . 64 34. The rotating arm of the machine with a screw and aeroplane attached, ....... 65 35. The little steam engine used by me in my rotating arm experiments, ....... 66 36. The machine attached to the end of the rotating shaft, . 68 37- Marking off the dynamometer, ..... 69 37a. Right- and left-hand four-blade screws, . . . .70 38. Apparatus for indicating the force and velocity of the wind direct,. ....... 71 XIV INDEX OF ILLUSTRATIONS. FIG. PAGE 39. Apparatus for testing the lifting effect of aeroplanes, . . 73 40. Front elevation of proposed aeroplane machine, . . 77 41. Side elevation of proposed aeroplane machine, . . .78 42. Plan of proposed aeroplane machine, . . . .79 43. Plan of a helicopt^re machine, ..... 82 44. Showing the position of the blades of a helicoptere as they pass around a circle, . . . . . .83 45. System of splicing and building up wooden members, . . 86 46. Cross-section of struts, ...... 86 47. Truss suitable for use with flying machines, . . .87 48. The paradox aeroplane, ...... 88 49. The Antoinette motor, ...... 89 50. Section showing the Antoinette motor as used in the Farman and De la Grange machines, . . . . .90 51. Pneumatic buffer, ...... 91 52. Gyroscope, ....... 94 53. Adjusting the lifting effect, . . . . .95 54. Showing that the machine could be tilted in either direction by changing the position of the rudder, . . .96 55. Adjusting the lifting effect, . . . . .97 56. Adjustment of the rudders, ..... 98 57. Diagram showing the evolution of a wide aeroplane, . . 102 58. In a recently published mathematical treatise on aerodynamics an illustration is shown, representing the path that the air takes on encountering a rapidly moving curved aeroplane, 104 59. An illustration from another scientific publication also on the dynamics of flight, ...... 104 60. Another illustration from the same work , . . . 105 61. The shape and the practical angle of an aeroplane, . . 105 62. An aeroplane of great thickness, .... 106 63. Section of a screw blade having a rib on the back, . . 106 64. Shows a flat aeroplane placed at an angle of 45, . . 107 65. The aeroplane here shown is a mathematical paradox, . 107 66. This shows fig. 65 with a section removed, . . 107 67. Diagram showing real path of a bird, . . 108 68. The De la Grange machine on the ground, . . .111 69. The De la Grange machine in full flight, . . .111 70. Farman's machine in flight, . . . . .112 71. Bleriot's machine, . . . . . .113 72. Santos Dumont's flying machine, . . . .113 72a. Angles and degrees compared, . . . . .115 726. Diagram showing direction of the air with a thick curved aeroplane, ....... 118 72c. Aeroplanes experimented with by Mr. Horatio Philipps, . 118 73. The enormous balloon "Villede Paris," . . .123 74. Photograph of a model of my machine, .... 130 75. The faerie- covered aeroplane experimented with, . . 131 76. The forward rudder of my large machine showing the fabric attached to the lower side, . . . -^ - . . 131 77. View of the track used in my experiments, . . . 134 78. The machine on the track tied up to the dynamometer, . 135 79. Two dynagraphs, ....... 136 80. The outrigger wheel that gave out and caused an accident with the machine, ...... 137 81. Shows the broken planks and the wreck that they caused, . 138 82. The condition of the machine after the accident, . . 139 83. This shows the screws damaged by the broken planks, . 140 84. This shows a form of outrigger wheels which were ultimately used, 141 INDEX OF ILLUSTRATIONS. XV FIG. PAGE 85. One pair of my compound engines, .... 142 86. Diagram showing the path that the air has to take in passing between superposed aeroplanes in close proximity to each other, . . . . . . . .144 87. Position of narrow aeroplanes arranged so that the air has free passage between them, ..... 145 88. The very narrow aeroplanes or sustainers employed by Mr. Philipps, .146 89. One of the large screws being hoisted into position, . . 149 90. Steam boiler employed in my experiments, . . . 157 91. The burner employed in my steam experiments, . .157 92. Count Zeppelin's aluminium-covered airship coming out of its shed on Lake Constance, . . . .161 93. Count Zeppelin's airship in full flight, . . 161 94. The new British war balloon " Dirigible " No. 2, . . 162 95. The Wright aeroplane in full flight, . . . .162 ARTIFICIAL AND NATURAL FLIGHT. CHAPTER I. INTRODUCTORY. IT has been my aim in preparing this little work for publication to give a description of my own experimental work, and explain the machinery and methods that have enabled me to arrive at certain conclusions regarding the problem of flight. The results of my experiments did not agree with the accepted mathematical formulae of that time. I do not wish this little work to be considered as a mathematical text-book; I leave that part of the problem to others, confining myself altogether to data obtained by my own actual experiments and observations. During the last few years, a considerable number of text-books have been published. These have for the most part been prepared by professional mathematicians, who have led themselves to believe that all problems connected with mundane life are susceptible of solution by the use of mathematical formulae, providing, of course, that the number of characters employed are numerous enough. When the Arabic alphabet used in the English language is not sufficient, they exhaust the Greek also, and it even appears that both of these have to be supplemented some- times by the use of Chinese characters. As this latter supply is unlimited, it is evidently a move in the right direction. Quite true, many of the factors in the problems with which they have to deal are completely unknown and unknowable ; still they do not hesitate to work out a complete solution without the aid of any experimental data at all. If the result of their calculations should not agree with facts, "bad luck to the facts." Up to twenty years ago, Newton's erroneous law as relates to atmo- 2 ARTIFICIAL AND NATURAL FLIGHT. spheric resistance was implicitly relied upon, and it was not the mathematician who detected its error, in fact, we have plenty of mathematicians to-day who can prove by formulae that Newton's law is absolutely correct and unassailable. It was an experimenter that detected the fault in Newton's law. In one of the little mathematical treatises that I have before me, I find drawings of aero- planes set at a high and impracticable angle with dotted lines showing the manner in which the writer thinks the air is deflected on coming in contact with them. The dotted lines show that the air which strikes the lower or front side of the aeroplane, instead of following the surface and being discharged at the lower or trailing edge, takes a totally different and opposite path, moving forward and over the top or forward edge, producing a large eddy of confused currents at the rear and top side of the aero- plane. It is very evident that the air never takes the erratic path shown in these drawings ; moreover, the angle of the aeroplane is much greater than one would ever think of employing on an actual flying machine. Fully two pages of closely written mathematical formulae follow, all based on this mistaken hypothesis. It is only too evident that mathematics of this kind can be of little use to the serious experimenter. The mathematical equation relating to the lift and drift of a well-made aeroplane is extremely simple; at any practicable angle from I in 20 to 1 in 5, the lifting effect will be just as much greater Fig. 1. Diagram showing the reduction of the projected horizontal area of aeroplanes due to raising the front edge above the horizontal tt, 6, shows an angle of 1 in 4, which is the highest angle that will ever be used in a flying machine, and this only reduces the projected area about 2 per cent. The line c b shows an angle of 1 in 8, and this only reduces the projected area an infinitesimal amount. As the angle of inclination is increased, the projected area becomes less as the versed sineyrf becomes greater. than the drift, as the width of the plane is greater than the elevation of the front edge above the horizontal that INTRODUCTORY. is, if we set an aeroplane at an angle of 1 in 10, and employ 1 Ib. pressure for pushing this aeroplane forward, the aeroplane will lift 10 Ibs. If we change the angle to 1 in 16, the lift will be 16 times as great as the drift. It is quite true that as the front edge of the aeroplane is raised, its projected horizontal area is reduced that is, if we consider the width of the aeroplane as a radius, the elevation of the front edge will reduce its projected horizontal area just in the proportion that the versed sine is increased. For instance, suppose the sine of the angle to be one-sixth of the radius, giving, of course, to the aeroplane an inclination of 1 in 6, which is the sharpest practical angle, this only reduces the projected area about 2 per cent., while the lower and more practical angles are reduced considerably less than 1 per cent. It will, therefore, be seen that this factor is so small that it may not be considered at all in practical flight. Some of the mathematicians have demonstrated by formulae, unsupported by facts, that there is a consider- able amount of skin friction to be considered, but as no two agree on this or any other subject, some not agreeing to-day with what they wrote a year ago, I think we might put down all of their results, add them together, and then divide by the number of mathematicians, and thus find the average coefficient of error. When we subject this question to experimental test, we find that nearly all of the mathematicians are radically wrong, Professor Langley, of course, excepted. I made an aero- plane of hard rolled brass, 20 gauge ; it was 1 foot wide and dead smooth on both sides; I gave it a curvature of about T \ inch and filed the edges, thin and sharp. I mounted this with a great deal of care in a perfectly horizontal blast of air of 40 miles an hour. When this aeroplane was placed at any angle between 1 in 8 and 1 in 20, the lifting effect was always just in proportion to its angle. The distance that the front edge was raised above the horizontal, as compared with the width of the aeroplane, was always identical with the drift as compared with the lift. On account of the jarring effect caused by the rotation of the screws that produced the air blast, we might consider that all of the articulated joints about the weighing device were absolutely friction- less, as the jar would cause them to settle into the proper position quite irrespective of friction. I was, therefore, 4 ARTIFICIAL AND NATURAL FLIGHT. able to observe very carefully, the lift and the drift. As an example of how these experiments were conducted, I would say that the engine employed was provided with a very sensitive and accurate governor; the power trans- mission was also quite reliable. Before making these tests, the apparatus was tested as regards the drift, with- out any aeroplane in position, and with weights applied that would just balance any effect that the wind might have on everything except the aeroplane. The aeroplane was then put in position and the other system of weights applied until it exactly balanced, all the levers being rapped in order to eliminate the friction in their joints. The engine was then started and weights applied just sufficient to counterbalance the lifting effect of the aero- plane, and other weights applied to exactly balance the drift or the tendency to travel with the wind. In this way, I was able to ascertain, with a great degree of accuracy, the relative difference between the lift and drift. If there had been any skin friction, even to the extent of 2 per cent., it would have been detected. This brass aeroplane was tested at various angles, and always gave the same results, but of course I could not use thick brass aeroplanes on a flying machine ; it was necessary for me to seek something much lighter. I therefore conducted experiments with other materials, the results of which are given. However, with a well-made wooden aeroplane 1 foot wide and with a thickness in the centre of T V inch, I obtained results almost identical with those of the very much thinner brass aeroplane, but it must not be supposed that in practice an aeroplane is completely without friction. If it is very rough, irregular in shape, and has any pro- jections whatsoever on either the top or bottom side, there will be a good deal of friction, although it may not, strictly speaking, be skin friction ; still, it will absorb the power, and the coefficient of this friction may be anything from '05 to '40. These experiments with the brass aero- plane demonstrated that the lifting effect was in direct proportion to the angle, and that skin friction, if it exists at all, was extremely small, but this does not agree with a certain kind of reasoning which can be made very plausible and is consequently generally accepted. Writers of books, as a rule, have always supposed that the lifting effect of an aeroplane was not in proportion to its inclination, but in proportion to the square of the INTRODUCTORY. 5 sine of the angle. In order to make this matter clear, I will explain. Suppose that an aeroplane is 20 inches wide and the front edge is raised 1 inch above the horizontal. In ordinary parlance this is, of course, called an inclination of 1 in 20, but mathematicians approach it from a different standpoint. They regard the width of the aeroplane as unity or the radius, and the 1 inch that the front edge is raised as a fraction of unity. The geometrical name of this 1 inch is the sine of the angle that is, it is the sine of the angJe at which the aeroplane is raised above the horizontal. Suppose, now, that we have another identical aeroplane and we raise the front edge 2 inches above the horizontal. It is very evident that, under these conditions, the sine of the angle will be twice as much, and that the square of the sine of the angle will be four times as great. All the early mathematicians, and some of those of the present day, imagine that the lift must be in proportion to the square of the sine of the angle. They reason it out as follows : If an aero- plane is forced through the air at a given velocity, the aeroplane in which the sine of the angle is 2 inches will push the air down with twice as great a velocity as the one in which the sine of the angle is only 1 inch, and as the force of the wind blowing against a normal plane increases as the square of the velocity, the same law holds Fig. 2. Professor Langley's experiments a, end of the rotating arm; 6, brass plane weighing 1 lb. ; c c, spiral springs. When the arm was driven through the air, in the direction shown, the plane assumed approximately a horizontal position, and the pull on the springs c c was reduced from 1 lb. to 1 oz. good in driving a normal plane through still air. From this reasoning, one is led to suppose that an aeroplane set b ARTIFICIAL AND NATURAL FLIGHT. at an angle of 1 in 10 will lift four times as much as one in which the inclination is only 1 in 20, but experiments have shown that this theory is very wide of the truth. There are dozens of ways of showing, by pure mathe- matics, that Newton's law is quite correct ; but in building a flying machine no theory is good that does not correspond with facts, and it is a fact, without any question, that the lifting effect of an aeroplane, instead of increasing as the square of the sine of the angle, only increases as the angle. Lord Kelvin, when he visited my place, was, I think, the first to mention this, and point out that Newton's law was at fault. Professor Langley also pointed out the fallacy of Newton's law, and other experimenters have found that the lifting effect does not increase as the square of the sine of the angle. In order to put this matter at rest, Lord Rayleigh, who, I think we must all admit, would not be likely to make a mistake, made some very simple experiments, in which he demonstrated that two aero- planes, in which we may consider the sine of the angle to be inch, lifted slightly more than a similar aeroplane in which the sine of the angle was only | inch. Of course, Lord Rayleigh did not express it in inches, but in term of the radius. His aeroplanes were, however, very small. We can rely upon it that the lifting effect of an aeroplane at any practical angle, everything else being equal, increases in direct proportion to the angle of the inclination. In this little work, I have attempted to make things as simple as possible ; it has not been written for mathematicians, and I have, therefore, thought best to express myself in inches instead of in degrees. If I write, " an inclination of 1 in 20," everyone will understand it, and only a carpenter's 2-foot rule is required to ascertain what the angle is. Then, again, simple measurements make cal- culations much simpler, and the lifting effect is at once understood without any computations being necessary. If the angles are expressed in degrees and minutes, it is necessary to have a protractor or a text-book in . order to find out what the inclination really is. When I made my experiments, I only had in mind the obtaining of correct data, to enable me to build a flying machine that would lift itself from the ground. At that time I was extremely busy, and during the first two years of my experimental work, I was out of England fourteen months. After having made my apparatus, I conducted my experi- INTRODUCTORY. 7 ments rather quickly, it is true, but I intended later on to go over them systematically and deliberately, make many more experiments, write down results, and prepare some account of them for publication. However, the property where I made these experiments was sold by the company owning it, and my work was never finished, so I am depending on the scraps of data that were written down at the time. I am also publishing certain observa- tions that I wrote down shortly after I had succeeded in lifting more than the weight of my machine. I think that the experiments which I made with an aeroplane only 8 inches wide will be found the most reliable. All the machinery was running 'smoothly, and the experiments were conducted with a considerable degree of care. In making any formula on the lifting effect of the aeroplane, it should be based on what was accomplished with the 8-inch plane. Only a few experiments were made to ascertain the relative value of planes of different widths. However, I think we must all admit that a wide plane is not as economical in power as a narrow one. In order to make this matter plain, suppose that we have one aeroplane placed at such an angle that it will lift 2 Ibs. per square foot at a velocity of 40 miles an hour; it is very evident that the air just at the rear of this aeroplane would be moving downward at a velocity corresponding to the acceleration imparted to it by the plane. If we wish to obtain lifting effect on this air by another plane of exactly the same width, we shall have to increase its inclination in order to obtain the same lifting effect, and, still further, it will be necessary to use more power in proportion to the load lifted. If a third aeroplane is used, it must be placed at an angle that will impart additional acceleration to the air, and so on. Each plane that we add will have to be placed at a sharper angle, and the power required will be just in proportion to the average angle of all the planes. As the action of a wide aeroplane is identical with that of numerous narrow ones placed in close proximity to each other, it is very evident that a wide aeroplane cannot be as efficient in proportion to its width as a narrow one. I have thought the matter over, and I should say that the lifting effect of a flat aero- plane increases rather faster than the square root of its width. This will, at least, do for a working hypo- thesis. Every flying machine must have what we will ARTIFICIAL AND NATURAL FLIGHT. call " a length of entering edge " that is, the sum of entering edges of all the aeroplanes must bear a fixed relation to the load carried. If a machine is to have its lifting effect doubled, it is necessary to have the length of entering edge twice as long. This additional length may, of course, be obtained by superposed planes, but as we may assume that a large aeroplane will travel faster than a small one, increased velocity will compensate in some degree for the greater width of larger aeroplanes. By careful study of the experiments which I have made, 1 think it is quite safe to state that the lifting effect of well-made aeroplanes, if we do not take into consideration the resistance due to the framework holding them in position, increases as the square of their velocity. Double their speed and they give four times the lifting effect. The higher the speed, the smaller the angle of the plane, and the greater the lifting effect in proportion to the power employed. When we build a steamship, we know that its weight increases as the cube of any one of its dimensions that is, if the ship is twice as long, twice as wide, and twice as deep it will carry eight times as much ; but at the very best, with even higher speed, the load carried by a flying machine will only increase with the square of any one of its dimensions, or perhaps still less. No matter whether it is a ship, a locomotive, or a flying machine that we wish to build, we must first of all consider the ideal, and then approximate it as closely as possible with the material at hand. Suppose it were possible to make a perfect screw, working without friction, and that its weight should only be that of the surrounding air ; if it should be 200 feet in diameter, the power of one man, properly applied, would lift him into the air. This is because the area of a circle 200 feet in diameter is so great that the weight of a man would not cause it to fall through the air at a velocity greater than the man would be able to climb up a ladder. If the diameter should be increased to 400 feet, then a man would be able to carry a passenger as heavy as himself on his flying machine, and if we should increase it still further, to 2,000 feet, the weight of a horse could be sustained in still air by the power which one man could put forth. On the other hand, if we should reduce the diameter of the screw to 20 feet, then it would certainly require the power of one horse to lift the weight of one man, and, if we made the INTRODUCTORY. screw small enough, it might even require the power of 100 horses to lift the same weight. It will, therefore, be seen that everything depends upon the area of the air engaged, and in designing a machine we should seek to engage as much air as possible, so long as we can keep down the weight. Suppose that a flying machine should be equipped with a screw 10 feet in diameter, with a pitch of 6 feet, and that the motor developed 40 horse-power and gave the screw 1,000 turns a minute, producing a screw thrust, we will say, of about 220 Ibs. If we should increase the diameter of the screw to 20 feet, and if it had the same pitch and revolved at the same rate, it would require four times as much power and would give four times as much screw thrust, because the area of the disc increases as the square of the diameter. Suppose, now, that we should reduce the pitch of the screw to 3 feet, we should in this case engage four times as much air, and double the screw thrust without using any more power that is, assuming that the machine is stationary and that the full power of the engine is being used for accelerating the air. The advantages of a large screw will, therefore, be obvious. I have been unable to obtain correct data regarding the experiments which have taken place with the various machines on the Continent. I have, however, seen these machines, and I should say when they are in flight, providing that the engine develops 40 horse-power, that fully 28 horse-power is lost in screw slip, and the remainder in forcing the machine through the air. These machines weigh 1,000 Ibs. each, and their engines are said to be 50 horse-power. The lifting effect, therefore, per horse-power is 20 Ibs. If the aeroplanes were perfect in shape and set at a proper angle, and the resistance of the framework reduced to a minimum, the same lifting effect ought to be produced with an expendi- ture of less than half this amount of power, providing, of course, that the screw be of proper dimensions. It is said that Professor Langley and Mr. Horatio Philipps, by eliminating the factor of friction altogether, or by not considering it in their calculations, have succeeded in lifting at the rate of 200 Ibs. per horse-power. The apparatus they employed was very small. The best I ever did with my very much larger apparatus and I only did it on one occasion was to carry 133 Ibs. per horse -power. In my large machine experiments, I was 10 ARTIFICIAL AND NATURAL FLIGHT. amazed at the tremendous amount of power necessary to drive the framework and the numerous wires through the air. It appeared to me, from these experiments, that the air resisted very strongly being cut up by wires. I expected to raise my machine in the air by using only 100 horse-power, and my first condenser was made so that it did actually condense water enough to supply 100 horse-power, but the framework offered such a tre- mendous resistance that I was compelled to strengthen all of the parts, make the machine heavier, and increase the boiler pressure and piston speed until I actually ran it up to 362 horse-power. This, however, was not the indicated horse-power. It was arrived at by multiplying the pitch of the screws, in feet, by the number of turns that they made in a minute, and by the screw thrust in pounds, and then dividing the product by the conventional unit 33,000. I have no doubt that the indicated horse- power would have been fully 400. On one occasion I ran my machine over the track with all the aeroplanes removed. I knew what steam pressure was required to run my machine with the aeroplanes in position at a speed of 40 miles an hour. With the planes removed, it still required a rather high steam pressure to obtain this velocity, but I made no .note at the time of the exact difference. It was not, however, by any means so great as one would have supposed. From the foregoing, it will be seen how necessary it is to consider atmospheric resist- ance. Although I do not expect that anyone will ever again attempt to make a flying machine driven by a steam engine, still, I have thought best to give a short and concise description of my engine and boiler, in order that my readers may understand what sort of an apparatus I employed to obtain the data I am now, for the first time, placing before the public. A full description of everything relating to the motor power was written down at the time, and has been carefully preserved. An abridgement of this will be found in the Appendix. 11 CHAPTER II. AIR CURRENTS AND THE FLIGHT OF BIRDS. Ix Mr. Darwin's " Voyage of the Beagle " I find : " When the condors are wheeling in a flock round and round any spot their flight is beautiful. Except when rising from the ground, I do not remember ever having seen one of these birds flap its wings. Near Lima I watched several for nearly half an hour, without taking off my eyes ; they moved in large curves, sweeping in circles, descending and ascending without giving a single flap. As they glided close over my head I intently watched from an oblique position, the outlines of the separate and great terminal feathers of each wing, and these separate feathers, if there had been the least vibratory movement, would have appeared as if blended together; but they were seen distinct against the blue sky." Man is essentially a land animal, and it is quite possible if Nature had not placed before him numerous examples of birds and insects that are able to fly, he would never have thought of attempting it himself. But birds are very much in evidence, and mankind from the very earliest times has not only admired the ease and rapidity with which they are able to move from place to place, but has always aspired to imitate them. The number of attempts that have been made to solve this problem has been very great ; but it was not until quite recently that science and mechanics had advanced far enough to put in the hands of experimenters suitable material to attack the problem. Perhaps nothing better has ever been written regarding our aspirations to imitate the flight of birds than what Prof. Langley has said : " Nature has made her flying machine in the bird, which is nearly a thousand times as heavy as the air its bulk displaces, and only those who have tried to rival it know how inimitable her work is, for ' the way of a bird in the air' remains as wonderful to us as it was to Solomon, and the sight of the bird has constantly held this wonder before men's eyes, and in some men's minds, and kept the 12 ARTIFICIAL AND NATURAL FLIGHT. flame of hope from utter extinction, in spite of long dis- appointment. I well remember how, as a child, when lying in a New England pasture, I watched a hawk soaring far up in the blue, and sailing for a long time without any motion of its wings, as though it needed no work to sustain it, but was kept up there by some miracle. But, however sustained, I saw it sweep, in a few seconds of its leisurely flight, over a distance that to me was encumbered with every sort of obstacle, which did not exist for it. The wall over which I had climbed when I left the road, the ravine I had crossed, the patch of undergrowth through which I had pushed my way all these were nothing to the bird and while the road had only taken me in one direction, the bird's level highway led everywhere, and opened the way into every nook and corner of the land- scape. How wonderfully easy, too, was its flight. There was not a flutter of its pinions as it swept over the field, in a motion which seemed as effortless as that of its shadow." During the last 50 years a great deal has been said and written in regard to the flight of birds ; no other natural phenomenon has excited so much interest and been so imperfectly understood. Learned treatises have been written to prove that a bird is able to develop from ten to twenty times as much power for its weight as other animals, while other equally learned works have shown most conclusively that no greater amount of energy is exerted by a bird in flying than by land animals in running or jumping. Prof. Langley, who was certainly a very clever observer and a mathematician of the first order, in discussing the subject relating to the power exerted by birds in flight and the old formula relating to the subject, expresses himself as follows : " After many years and in mature life, I was brought to think of these things again, a,nd to ask myself whether the problem of artificial flight was as hopeless and as absurd as it was then thought to be. Nature had solved it, and why not man? Perhaps it was because he had begun at the wrong end, and attempted to construct machines to fly before knowing the principles on which flight rested. I turned for these principles to my books and got no help. Sir Isaac Newton had indicated a rule for finding the resistance to advance through the air, AIR CURRENTS AND THE FLIGHT OF BIRDS. 13 which seemed, if correct, to call for enormous mechanical power, and a distinguished French mathematician had given a formula showing how rapidly the power must increase with the velocity of flight, and according to which a swallow, to attain a speed it is known to reach, must be possessed of the strength of a man. " Remembering the effortless flight of the soaring bird, it seemed that the first thing to do was to discard rules which led to such results, and to commence new experi- ments, not to build a flying machine at once, but to find the principles upon which one should be built; to find, for instance, with certainty by direct trial how much horse-power was needed to sustain a surface of .given weight by means of its motion through the air." There is no question but what a bird has a higher physical development, as far as the generation of power is concerned, than any other animal we know of. Never- theless, I think that everyone who has made a study of the question will agree that some animals, such as hares and rabbits, exert quite as much power in running, in proportion to their weight, as a sea-gull or an eagle does in flying. The amount of power which a land animal has to exert is always a fixed and definite quantity. If an animal weighing 100 Ibs. has to ascend a hill 100 feet high, it always means the development of 10,000 foot-lbs. With a bird, however, there is no such thing as a fixed quantity. If a bird weighing 100 Ibs. should raise itself into the air 100 feet during a perfect calm, the amount of energy developed would be 10,000 foot Ibs. plus the slip of the wings. But, as a matter of fact, the air in which a bird flies is never stationary, as I propose to show ; it is always moving either up or down, and soaring birds, by a very delicate sense of feeling, always take advantage of a rising column. If a bird finds itself in a column of air which is descending, it is necessary for it to work its wings very rapidly in order to prevent a descent to the earth. I have often observed the flight of hawks and eagles. They seem to glide through the air with hardly any move- ment of their wings. Sometimes, however, they stop and hold themselves in a stationary position directly over a certain spot, carefully watching something on the earth immediately below. In such cases they often work their wings with great rapidity, evidently expending an enormous 14 ARTIFICIAL AND NATURAL FLIGHT. amount of energy. When, however, they cease to hover and commence to move again through the air, they appear to keep themselves at the same height with an almost imperceptible expenditure of power. Many unscientific observers of the flight of birds have Fig. 3. While in the Pyrenees I often observed eagles balancing them- selves on an ascending current of air produced by the wind blowing over large masses of rock. imagined that a wind or a horizontal movement of the air is all that is necessary to sustain the weight of a bird in the air after the manner of a kite. If, however, the wind, which is only air in motion, should be blowing everywhere at exactly the same velocity, and in the same direction AIR CURRENTS AND THE FLIGHT OF BIRDS. 15 horizontally it would offer no more sustaining power to a bird than a dead calm, because there is nothing to prevent the body of the bird from being blown along with the air, and whenever it attained the same velocity as the air, no possible arrangement of the wings could prevent it from falling to the earth. It is well known that only a short distance above- the earth's surface, say 30 or 40 miles, we find an extremely low temperature sometimes referred to as interstellar temperature or absolute zero. In order to illustrate the extremely low temperature of space, I would cite the following instance : One evening, in the State of Ohio, a farmer saw a very brilliant meteor ; it struck in one of his fields not more than 100 feet from his house. He at once rushed to the spot, and, pushing his arm down the hole, succeeded in touching it ; but he very quickly withdrew his hand, as he found it extremely hot. Some of the neighbours rushed to the spot, and he told them what had occurred, where- upon one of them put his hand in the hole, expecting to be burnt, but, much to his surprise, the tips of his wet fingers were instantly frozen to the meteor. The meteor had been travelling at such an exceedingly high velocity that the resistance of the intensely cold and highly attenuated outer atmosphere was sufficient to bring its temperature up to the melting point of iron ; but the heat did not have time to pass into the interior, it only extended inwards perhaps | inch, so that when the meteor came to a state of rest, the heat of the exterior was soon absorbed by the intensely cold interior, thus reducing the surface to a temperature much below any natural temperature that we find at the surface of the earth. Nothing can be more certain than that the temperature is extremely low a slight distance above the earth's surface. As the air near the earth never falls in temperature to anything like the absolute zero, it follows that there is a constant change going on, the relatively warm air near the surface of the earth always ascending, and, in some cases, doing sufficient work in expanding to render a portion of the water it contains visible, forming clouds, rain, or snow, while the very cold air is constantly descending to take the place of the rising column of warm air. I have noticed a considerable degree of regularity in the movement of the air, especially at a long distance from land, where the L6 ARTIFICIAL AND NATURAL FLIGHT. regularity of the up and down currents is, at times, very marked. On one occasion while crossing the Atlantic in fine weather I noticed, some miles directly ahead of the ship, a long line of glassy water. Small waves indicated that the wind was blowing in the exact direction in which the ship was moving, and as we approached the glassy line, the waves became smaller and smaller until they com- pletely disappeared in a mirror-like surface, which was about 300 or 400 feet wide, and extended both to the port and starboard in approximately a straight line as far as the eye could reach. After passing the centre of Fig. 4. Air currents observed in mid Atlantic, warm air ascending at a, a, a, and cold air descending at b, b, b. c, c, c represent the lines where the waves were the largest. this zone, I noticed that small waves began to show them- selves, but in the exact opposite direction to those through which we had already passed, and these waves became larger and larger for nearly half an hour. Then they began to get gradually smaller, when I observed another glassy line directly ahead of the ship. As we approached it, the waves again completely disappeared, but after passing through it, the wind was blowing in the opposite direction, and the waves increased in size exactly in the same manner that they had diminished on the opposite side of the glassy streak (Fig. 4). This, of course, shows that directly over the centre of AIR CURRENTS AND THE FLIGHT OF BIRDS. 17 the first glassy streak, the air was meeting from both sides and ascending in practically a straight line from the surface of the water, and then spreading out high above the sea, setting up a light wind in both directions. I spent the winter of 1890-91 on the Riviera, between Hyeres les Palmiers and Monte Carlo. The weather for the most part was very fine, and I often had the oppor- tunity of observing the peculiar phenomena which I had already noticed in the Atlantic, only on a much smaller scale. Whereas, in the Atlantic, the glassy zones were Fig. 5. Glassy streaks showing the centres of ascending and descending columns of air in the Bay of Antibes, Alpes Maritimes. from 8 to 15 miles apart, I often found them not more than 500 feet apart in the bays of the Mediterranean. This was most noticeable at Antibes (Fig. 5), very good photographs of which I obtained. It will be observed that the whole surface of the water is streaked like a block of marble. At Nice and Monte Carlo this phenomena was also very marked. On one occasion, while making observations from the highest part of the promontory of Monaco on a perfectly calm day, I noticed that the whole of the sea presented this peculiar effect as far as the eye could reach, 2 18 ARTIFICIAL AND NATURAL FLIGHT. and that the lines which marked the descending air were never more than 1,000 feet from those which marked the centre of the ascending column. At about three o'clock one afternoon, a large black steamer passed along the coast in a perfectly straight line, and its wake was at once marked by a glassy line, which indicated the centre of an ascending column. This line remained almost straight for two hours, when finally it became crooked and broken. The heat of the steamer had been sufficient to determine this upward current of air. In 1893 I spent two weeks in the Mediterranean, going and returning by a slow steamer from Marseilles to Con- . \ b c Fig. 6. Air currents observed in the Mediterranean, ascending currents at a, a, a, and descending currents at b, b, b. stantinople, and I had many opportunities of observing the peculiar phenomena to which I have referred. The steamer passed over thousands of square miles of calm sea, the surface being only disturbed by large patches of small ripples (Fig. 6), sep irated from each other by glassy streaks, which, however, were not straight as on the Atlantic, and I found that in no case was the wind blowing in the same direction on both sides of these streaks, every one of which indicated the centre of an ascending or a descending column of air. If we should investigate these phenomena in what might be called a dead calm, we should find that the air was rising very AIR CURRENTS AND THE FLIGHT OF BIRDS. 19 nearly straight up over the centres of some of these streaks and descending in a vertical line over the centres of others. But, as a matter of fact, there is no such thing as a dead calm. The movement of the air is the resultant of more than one force. The air is not only rising in some places and descending in others, but at the same time, the whole mass is moving forward with more or less rapidity from one part of the earth to another, so we must consider that, instead of the air ascending directly from the rela- tively hot surface of the earth and descending vertically in other places, in reality the whole mass of rotating air is moving horizontally at the same time. Suppose that the local influence which causes the up and down motion of the air should be sufficiently great to cause the air to rise at the rate of 2 miles an hour, and that the wind at the same time should be blowing at the rate of 10 miles an hour, the motion of the air would then be the resultant of these two velocities. In other words, it would be blowing up an incline of 1 in 5. Suppose, now, that a bird should be able to so adjust its wings that it advanced 5 miles in falling 1 mile through a perfectly calm atmosphere, it would then be able to sustain itself in an inclined wind, such as I have described, without any movement at all of its wings. If it were possible to adjust its wings in such a manner that it could advance 6 miles by falling through 1 mile of air, it would then be able to rise as relates to the earth while in reality falling as relates to the surrounding air. In conducting a series of experiments with artillery and small guns on a large and level plain just out of Madrid, I often observed the same phenomena, as relates to the wind, that I have already spoken of as having observed at sea, except that the lines marking the centre of an ascending or a descending column of air were not so stationary as they were over the water. It was not an uncommon thing, when adjusting the sights of a gun to fire at a target at a very long range, making due allow- ances for the wind, to have the wind change and blow in the opposite direction before the word of command was given to fire. While conducting these experiments, I often noticed the flight of eagles. On one occasion a pair of eagles came into sight on one side of the plain, passed directly over our hea'is, and disappeared on the opposite side. They were apparently always at the same height 20 ARTIFICIAL AND NATURAL FLIGHT. from the earth, and in soaring completely across the plain they never once moved their wings. These phenomena, I think, can only be accounted for on the hypothesis that these birds were able to feel out with their wings an ascending column of air, that the centre of this column of air was approximately a straight line running completely across the plain, that they found upward movement more than sufficient to sustain their weight in the air, and that, whereas, as relates to the earth, they were not falling at all, they were in reality falling some 4 or 5 miles an hour in the air which supported them. Again, at Cadiz in Spain, when the wind was blowing in strongly from the sea, I observed that the sea-gulls always took advantage of an ascending column of air. As the wind rose to pass over the fortifications, the gulls selected a place where they would glide on the ascending current of air, keeping themselves always approximately in the same place without any apparent exertion. When, however, they left this ascending column, it was necessary for them to work their wings with great vigour until they again found the proper place to encounter a favourable current. I have often noticed that gulls are able to follow a ship without any apparent exertion ; they simply balance them- selves on an ascending column of air, where they seem to be quite as much at ease as they would have been roosting on a solid support. If, however, they are driven out of this position, they generally commence at once to work their passage. If anything is thrown overboard which is too heavy for them to lift, the ship soon leaves them behind, and in order to catch up with it again they move their wings very much as other birds do ; but when once established in the ascending column of air, they manage to keep up with the ship by doing little or no work. In a calm or head wind we find them directly aft of the ship; if the wind is from the port side they may always be found on the starboard quarter, and vice versa. One Sunday morning, while living at Kensington, I noticed some very curious atmospheric effects. The weather had been intensely cold for about a week, when suddenly the atmosphere became warm and very humid. The earth being much colder than the atmosphere, water was condensing on everything that it touched. I went to the bridge over the Serpentine in Hyde Park, and was AIR CURRENTS AND THE FLIGHT OF BIRDS. 21 not disappointed in finding a large number of sea-gulls waiting about the bridge to be fed. On all ordinary occasions these birds manage to move about with the expenditure of very little energy, but on this occasion every one of them, without a single exception, no matter in what position he might be, was working his passage like any other bird, just as I had expected. It is 'only on very rare occasions that the surface of the earth is sufficiently cold as relates to the atmosphere to prevent all upward currents of air. Everyone who has passed a winter on the northern shores of the Mediterranean must have observed the cold wind which is generally called the mistral. One may be out driving, the sun may be shining brightly, and the air warm and balmy, when suddenly, without any apparent cause, one finds himself in a cold descending wind. This is the much-dreaded mistral, and if at sea it would be marked by a glassy line on the surface of the water. On land, however, there is nothing to render its presence visible. The ascending column of air is, of course, always very much warmer than the descending column, and this is taking place in a greater or lesser degree everywhere and at all times. A decided upward trend of air is often encountered by those who are experimenting with kites, the kite often mounting higher than can be accounted for on the hypothesis that the wind is moving in a horizontal direction. I have heard this discussed at considerable length. When a kite is flown in an upward current, it behaves in many respects like a soaring bird. From the foregoing, I think, we may safely draw the following conclusions : First, that there is a constant interchange of air taking place, the cold air descending, spreading itself out over the surface of the earth, becoming warm, and ascending in other places. Second, that the centres of the two columns are generally separated from each other by a distance which may be from 500 feet to 20 miles. Third, that the centres of greatest action are not in spots, but in lines which may be approximately straight, but sometimes abound in many sinuosities. Fourth, that this action is constantly taking place over both the sea and the land ; that the soaring of birds, the phenomenon which has heretofore been so little under- 22 ARTIFICIAL AND NATURAL FLIGHT. stood, may be accounted for on the hypothesis that the bird seeks out an ascending column of air, and while sustaining itself at the same height in the air, without any muscular exertion, it is in reality falling at a con- siderable velocity through the air that surrounds it. It has been supposed by some scientists that birds may take advantage of some vibratory or rolling action of the air. I find, however, from careful observation and experi- ment, that the motion of the wind is comparatively steady, and that the short vibratory or rolling action is alw r ays very near to the earth and is produced by the air flowing over hills, high buildings, trees, etc. Tools and instruments used by mechanicians are very often made of the material most used in their profession ; for instance, a blacksmith's tools are generally of iron, a carpenter's tools largely of wood, and a glass-blower uses many things made of glass, and so on. Mathematicians are no exception to this general rule, and seem to imagine that everything can be accomplished by pure mathematical formulae. It appears that Prof. Langley was at times considerably puzzled by the extraordinary behaviour of birds, and was led to believe that they took advantage of some vibratory or oscillating movement of the air ; he called it " the internal work of the air." I have been very much amused in a recent mathematical work that I have read, in which the writer seeks to solve all questions by pure mathematics. In this case, notwithstanding that all of the factors are unknown and unknowable, still, with the use of about two pages of closely written algebraic formulae, he appears to have solved the whole question. Just how he arrived at it, however, is more than I am able to under- stand. If a kite is flown only a few feet above the ground, it will be found that the current of air is very unsteady. If it is allowed to mount to 500 feet the unsteadiness nearly all disappears, while if it is allowed to mount further to a height of 1,500 or 2,000 feet, the pull on the cord is almost constant, and, if the kite is well made, it remains practically stationary in the air. I have often noticed in high winds that light and fleecy clouds come into view, say, about 2,000 feet above the surface of the earth, and pass rapidly and steadily by preserving their shape completely. This would certainly AIR CURRENTS AND THE FLIGHT OF BIRDS. 23 indicate that there is no rapid local disturbance in the air in their immediate vicinity, but that the whole mass of air in which these clouds are formed is practically travelling in the same direction and at the same velocity. Numerous aeronauts have also testified that, no matter how hard the wind may be blowing, the balloon is always practically in a dead calm, and if a piece of gold-leaf is thrown overboard, even in a gale, the gold-leaf and the balloon never part company in a horizontal direction, though they may in a vertical direction. Birds may be divided into two classes. First, the soaring birds, which practically live upon the wing, and, by some very delicate sense of touch, are able to feel the exact condition of the air. Many fish which live near the top of the water are greatly distressed by sinking too deeply, while others which live at great depths are almost instantly killed by being raised to the surface. The swim -bladder of a fish is in reality a delicate barometer provided with sensitive nerves which enable the fish to feel whether it is sinking or rising in the water. With the surface fish, if the pressure becomes too great, it involuntarily exerts itself to rise nearer the surface and so diminish the pressure, and I have no doubt that the air cells, which are known to be very numerous and to abound throughout the bodies of birds, are so sensitive as to enable soaring birds to know at once whether they are in an ascending or a descending column of air. The other class of birds consists of those which only employ their wings occasionally for the purpose of taking them rapidly from one place to another. Such birds do not expend their power so economically as the soaring birds. They do not pass much of their time in the air, but what time they are on the wing they put forth an immense amount of power and fly very rapidly, generally in a straight line, taking no advantage of air currents. Partridges, pheasants, wild ducks, geese, and some birds of passage may be taken as types of this kind. This class of birds has relatively small wings, and carries about two and a half times as much weight per square foot of surface as soaring birds do. We shall never be able to imitate the flight of the soaring birds. We cannot hope to make a sensitive apparatus that will work quick enough to take advantage of the 24 ARTIFICIAL AND NATURAL FLIGHT. rising currents of air, and he who seeks to fly has this problem to deal with. A successful flying machine, moving at a high velocity, is likely at any time to encounter down- ward currents of air, which will greatly interfere with its action. Therefore "flying machines must, in the very nature of things, be provided with sufficient power to propel them through various currents of air, after the manner of ducks, partridges, pheasants, etc. Common Name. Sq. Ft. per Lb. Lbs.perSq.Ft. Corresponding Speed for a Plane at 3 in Miles per Hour. Bat 64 0-131 15-9 Swallow, . 3-62 0-276 23-1 Lark, 3-06 0-327 25-1 Sparrow hawk, Sparrow, . 3-00 2-42 0-333 0-414 25-3 28-2 Gull, 2-35 0-426 28-6 Owl, 2-26 0-443 29-2 Crane, . 2-02 0-495 30-9 Rook, 1-74 0-575 33-3 Plover, . 1-38 0-725 37-4 Balbuzzard, 1-26 0-795 39-2 Egyptian vulture, . 1-18 0-848 40-4 Duck, 0-864 1-158 44-2 Grey pelican, . 0-732 1 -365 51-3 Wild goose, . 0-586 1-708 57-4 Turkey, . 0-523 1-910 60-6 Duck (female), . 0-498 2-008 62-2 ,, (male), . 0-439 2-280 66-2 CHAPTER III. FLYING OP KITES. IT was said of Benjamin Franklin that when he wished to fly a kite in order to ascertain if lightning could be drawn down from the clouds, he managed to have a boy with him in order to avoid ridicule. It was considered too frivolous in those days for grown-up men to amuse themselves with kites, and a good many besides Benjamin Franklin have feared to face the ridicule that was inevitable if they took up or even discussed the question of artificial flight. Nineteen years ago, when I commenced my own experi- ments, I was told that my reputation would be greatly injured, that mankind looked upon artificial flight as an ignis-fatuus, and that anyone who experimented in that direction was placed in the same category as those who sought to make perpetual-motion machines or to find the philosopher's stone. Although I had little fear of ridicule, still I kept things as quiet as I could for a considerable time, and I had been working fully six months before anyone ascertained what I was doing. When, however, it became known that I was experimenting with a view of building a flying machine, the public seemed to think that I was making honest and praiseworthy scientific investigations ; true, I might not succeed, still it was said that I would accomplish something, and find out some of the laws relating to the subject. No one ridiculed my work except two individuals, and both of these were men whom I had greatly benefited. As is often the case, those whom you find in difficulties and place 'on their feet seek to do you some injury as compensation for the benefits they have received. At the present time it is not necessary for any man to take a small boy with him as a species of lightning-rod to ward off ridicule when he flies a kite. 1 have been one of a committee on kite-flying at which some of the most learned and serious men in England were my colleagues in investigating the subject. The behaviour of kites is certainly very puzzling to those who do not thoroughly 26 ARTIFICIAL AND NATURAL FLIGHT. understand the subject. A kite may be made with the greatest degree of perfection, and placed in the hands of one of considerable experience ; nevertheless, it may behave very badly, diving suddenly to the ground without any apparent cause. Then, again, this same kite will sometimes steadily mount in the air until it reaches a height difficult to account for. If the surface of the earth should be perfectly smooth, and the wind should always blow in a horizontal direction, kites would not show these eccentric peculiarities, but, as a matter of fact, the air seldom moves in a horizontal direction; it is always influenced by the heat of the surface of the earth. Heated air is continually ascending in some places only to be cooled and to descend in other places. If one is attempting to fly a kite where the air is moving downwards, he will find it an extremely difficult matter, whereas, if he is fortunate enough to strike a current of air which is rising, the kite will mount much higher in the air than can be accounted for, except we admit of the existence of these upward draughts of air. On one occasion many years ago, I was present when a bonded warehouse in New York containing 10,000 barrels of alcohol was burnt. It was nine o'clock at night, and 1 walked completely around the fire, arid found things just as I had expected. The wind was blowing a perfect hurricane through every street in the direction of the fire, although it was a dead calm everywhere else ; the flames mounted straight in the air to an enormons height, and took with them a large amount of burning wood. When I was fully 500 feet from the fire, a piece of partly burnt 1-inch board, about 8 inches wide and 4 feet long, fell through the air and landed very near me, sending sparks in every direction. This board had evidently been taken up to a great height by the tremendous uprush of air caused by the burning alcohol. It is very evident that a kite made of boiler iron could have been successfully flown under these conditions providing that it could have been brought into the right position. The sketch (Fig. 7) shows a device consisting of a spirit lamp and a box of ice. The lamp heats the metallic plate, expands the air which rises and is cooled by convection on coming in contact with the top plate, and descends as shown. However, a fire is not necessary to accomplish this result ; it as taking place all over the earth, all the time. A great number of plants depend upon a rising current of FLYING OF KITES. 27 air to transport their seeds to distant places. Seeds of the thistle and dandelion variety are sometimes able to travel hundreds of miles, to the great vexation of farmers ; and there is a certain class of small spider known as "Balloon Spiders " which also depend upon a rising current of air to carry them from the place of their birth to some distant Fig. 7. The circulation of air produced by a difference in temperature. part where they, of course, hope to start a colony. When I was a boy of eight, I noticed small spiders webbing down from the sky. I was greatly puzzled ; it appeared to me that they had attached their web to some stationary object high in the air and were spinning a web in order to lower themselves to the earth. What could that stationary object be ? As the sky was clear, I was quite unable to understand 28 ARTIFICIAL AND NATURAL FLIGHT. this phenomenon, but afterwards I learned from scientific books that there was a class of spiders that managed to rise high in the air by the aid of the wind. It appears that they climb a high tree until they have reached the uppermost extremity and then, from a leaf or twig that projects into the air, they wait for an ascending current of air. Although the spider is exceedingly small the size of a pin's head it has about 200 spinnerets, its ordinary web being formed of no less than that number of extremely fine threads. These are spun out singly into the air until an almost invisible mass of fine webs interlacing each other in all directions and forming an approximately cylindrical network about half an inch in diameter and 18 inches long is produced. . Whenever an upward draft of air approximately vertical occurs, it takes this weightless tangle of fine webs with it, and so soon as the spider finds there is sufficient pull to lift its weight, it lets go and ascends with the air. When the Nulli Secundus ascended at Farnborough and landed at the Crystal Palace, Mr. Cody, who was on board, reported what he supposed to be a very curious and unaccountable phenomenon. The balloon was covered with many thousands of minute spiders that it had picked up in the air on the voyage. Certainly this of itself is very strong evidence of the existence of these ascending currents of air. When in Boston about fifteen years ago, I went to Blue Hill to witness the remarkable kite flying which was taking place at that time. The kites experimented with were of the Hargrave type, and of enormous dimensions. A steel wire and windlass worked by a steam engine was employed. I was told that on certain occasions the kites mounted extremely high, much higher than they were able to account for ; but on this particular occasion, although they let out a great amount of wire, the kite did not mount very high. I have heard much discussion first and last regarding the flight of kites, and I think it is generally admitted that they do sometimes rise upwards and con- tinue moving to the windward until they pass directly over the spot where they are attached to the earth. It was not, however, till about three years ago that I witnessed this phenomenon myself. Mr. Cody, who is the inventor of a very good kite, had been flying kites at the Crystal Palace for some months, and on one occasion I saw his kite rise, pass to the windward and directly over our FLYING OF KITES. 29 heads. I took hold of the cord with both hands, and was somewhat surprised to find what the lifting effect was. The kite was, however, of large dimensions, but by no means so large as Mr. Cody's " man-lifting kites." In the drawing (Fig. 8) I have shown, at a, the action of a kite in a horizontal wind, lines e, e, showing the direction of the wind. A good kite will easily mount 45, the angle shown, but on the occasion just mentioned, the sun had been shining brightly into the valley where the experiments 30 ARTIFICIAL AND NATURAL FLIGHT. took place, and an upward current of air had been deter- mined. The cooler air was, of course, rushing in from each side and mounting in about the centre of the valley, and Mr. Cody's kite, instead of flying in a horizontal wind, soon reached a point where the wind was ascending at an angle, as shown at /, /. The kite would therefore mount until at 6, where it presented the same angle to the wind as with the horizontal wind at a, and if it should be made to fly at a higher angle, it might pass over to the position shown at c. But it must not be imagined that this phenomenon can be witnessed every day in the year. It is only on rare occasions that one is fortunate enough to find a wind which is blowing at a sufficiently sharp upward trend to cause a kite to pass to the windward over the point of support. Neither must it be supposed that this favourable condition of things is of long duration. As the centre of the upward current is constantly moving, it is certain that very soon it will move away from the point from which the kite is being flown. What is true of kites is also true of flying machines. It is very difficult indeed to make a kite mount providing that it is in a descending current of air, and one is just as likely to find a descending current as any other. Flying machines will, therefore, have to be made with a considerable amount of reserve energy, so as to be able to put on a spurt when they encounter an adverse current. If a machine is made that is able to maintain itself in the air for any considerable length of time, it will not be a very difficult task to know when a current of air of this kind is encountered, because, if the engine is working up to speed, and everything is in perfect order, and still the machine is falling, it is very certain that an unfavourable current has been encountered, and efforts should be made to get out of it as soon as possible. Then, again, if the machine has an abnormal tendency to rise without any increase in the number of rotations made by the screws, the aeronaut may be certain that he has encountered an upward and favourable current of air which, unfortunately, will not last. It should, however, be borne in mind that, while the width of the upward current is not very great, nevertheless, it may extend in a practically straight line for many miles. 31 CHAPTER IV. PRINCIPALLY RELATING TO SCREWS. Iv 1887 I was approached by several wealthy gentlemen who asked me if I thought it was possible to make a flying machine. I said, " certainly ; the domestic goose is able to fly and why should not man be able to do as well as a goose?" They then asked me what it would cost and how long it would take, and, without a moment's hesitation, I said it would require my undivided attention for five years and might cost 100,000. A great deal of experimenting would be necessary ; the first three years would be devoted to developing an internal combustion engine of the Brayton or Otto type, and the next two years to experimenting with aeroplanes and screws and building a machine. Even at that time I had a clear idea of the system that would be the best. However, nothing was then done, but in 1889 I employed for the purpose two very skilful American mechanics, and put them to work at Baldwyn's Park, Kent. At that time the petroleum motor had not been reduced to its present degree of efficiency and lightness; it was not suitable for a flying machine, and 1 saw that it would require a lot of experimental work in order to develop it. After taking into consideration all the facts of the case, I decided to use a steam engine. Had I been able to obtain the light and efficient motors which have been recently developed, thanks to the builders of racing cars, I should not have had to experiment at all with engines and boilers, as I could have obtained the necessary motors at once. As it was, I was obliged to content myself with the steam engine. I found that there was a great deal of misunderstanding regarding the action of aeroplanes, and also of screws working in the air. I procured all the literature avail- able on the subject, both English and French, and attempted to make a thorough study of the question; but I was not satisfied, on account ot the wide difference in the views of the writers and the conflicting formulae that were employed. I therefore decided to make experi- 32 ARTIFICIAL AND NATURAL FLIGHT. ments myself, and to ascertain what could be done without the use of anybody's formula. Although this was nearly Fig. 9. Group of screws and other objects used in my experiments. twenty years ago, I find that there is still a great deal of discussion regarding the action of aeroplanes and screws, Fig. 10. Some of the principal screws experimented with h, a screw with very thick blades, and g, a screw made after a French model. in which the majority taking part in the discussion are in the wrong. However, several good works on the subject have recently been published. PRINCIPALLY RELATING TO SCREWS. 33 Having designed and put my boiler and engine in hand, I commenced a series of experiments for the purpose of ascertaining the efficiency of screw propellers working in the air, and the form and size that would be best for my proposed machine. The illustration Fig. 9 shows a photographic group of the screws and other objects with which I experimented. Fig. 10 shows some of the leading types which, as will be seen, have blades of different shape, pitch, and size. Fig. 11 shows three of the best screws employed. It will be observed that one has uniform pitch, another increasing pitch, and the third compound increasing pitch. In order to test the efficiency of my screws I made the apparatus shown in Fig. 12. The power for running the screw was transmitted by means of a belt to the straight cylindrical pulley c, c. Shaft b, b was of steel, rather small in diameter, and ran smoothly, and practically Fig. 11. The three best screws. The screw on the right has a uniform pitch throughout, the middle screw has increasing pitch, and the left screw compound increasing pitch. without friction, through the two bearings d, d. When the first screw, a, a, was run at a high velocity, the axial thrust pushed the shaft 6, b back and elongated the spiral spring e. The degree of screw thrust was indicated in pounds by the pointer g. The power was transmitted through a very accurate and sensitive dynamometer, so that the amount consumed could be easily observed by a pointer similar to the one employed for indicating the screw thrust. A tachometer was also employed to observe the number of turns that the screw was making in a minute. The whole apparatus was carefully and accurately made and worked exceedingly well. I was thus enabled, with my various forms of screws and other objects, to make very accurate measurements, some of which are exceedingly interesting. In many of the treatises and books of that time it was 3 PRINCIPALLY RELATING TO SCREWS. 35 stated that a screw propeller, working in the air, was exceedingly wasteful of energy on account of producing a fan-blower action. Some inventors suggested that the screw should work in a stationary cylinder, or, better still, that the whole screw should be encased in a rotating cylinder, to prevent this outward motion of the air. In Fig. 13. Apparatus for testing the direction of air currents caused by a rapidly rotating screw. Silken threads were attached to the wire c, c which indicated clearly the direction in which the air was moving. order to ascertain what the actual facts were, I attached a large number of red silk threads to a brass wire, which I placed completely around my screw (see Fig. 13). Upon starting up I found that, instead of the air being blown out at the periphery of the screw, it was in reality sucked in, as will be seen in the illustration. I was rather sur- 36 ARTIFICIAL AND NATURAL FLIGHT. prised to see how sharp a line of demarkation there was between the air that was moving in the direction of the screw and the air that was moving in the opposite direction. The screw employed in these experiments' was 18 inches in diameter and had a pitch of 24 inches. It was evident, however, if the pitch of the screw was coarse enough that there would be a fan-blower action. I there- fore tried screws of various degrees of pitch, and found when the pitch was a little more than three times the Fig. 14. This drawing shows the ends of screw blades in which a is a plain screw; 6, screw with increasing pitch; c, screw with compound increasing pitch ; d, end of screw blade 45 ; e, screw with very thick blade; /, blade with no pitch at all; g, blade which gave a thrust in the direction of the convex side, no matter in which direction it was revolved ; h, screw said to have been used in the French Government experiments. diameter, giving to the outer end of the blade an angle of 45, that a fan -blower action was produced that is, part of the time when the screw was running, the air would alternate; sometimes it would pass inwards at the periphery and sometimes outwards. The change of direc- tion, however, was always indicated by a difference in the pitch of the note given out, and also by the thrust. In Fig. 14 I have shown the extremities of the blades of some of the different forms of screws experimented with. PRINCIPALLY RELATING TO SCREWS. 37 in which a shows a plain screw, the front side being straight and of equal pitch from the periphery to the hub; 6 is a screw of practically the same pitch, but slightly curved so as to give what is known as an increasing pitch; c shows the extremity of a screw in which the curve is not the same throughout that is, it is what is known as a compound increasing pitch ; d is the shape of the screw that gave the angle of 45 above referred to The first screw experimented with was a. This screw was run at a high velocity about 2,500 revolutions per minute until a screw thrust of 14 Ibs. was obtained, and then the governor of the engine was set so that all screws of the same diameter could be run at the same speed. Wishing to ascertain the efficiency of the screw and how much was lost in skin friction, I multiplied the thrust in pounds by the pitch of the screw in feet and by the number of turns it was making in a minute. This, of course, gave the exact number of foot-pounds in energy that was being imparted to the air. I was somewhat surprised to find that it corresponded exactly with the readings of the dynamometer. I thought at first that I must have made some mistake. Again I went very carefully over all the figures, tested everything, and made another experiment and found, even if I changed the number of revolutions, that the readings of the dynamometer were always exactly the same as the energy imparted to the air. This seemed to indicate that the screw was working very well and that the skin friction must be very small indeed. In order to test this, I made what we will call, for the moment, a screw without any pitch at all that is, the blades were of wood and of the exact thickness and width of the blades of the screw a, but without any pitch at all. The extremity of the blade is shown at /. I placed this screw on my machine in place of a, and although my dynamometer was so sensitive that the pointer would move away from the zero pin by simply touching the tip of the finger to the shaft, it failed to indicate, and thus the screw appeared to consume no power at all. These experiments were repeated a considerable number of times. I then obtained a sheet of tin the same diameter as the screws, 18 inches, and upon running it at the same speed, I found that it did consume a measurable amount of power, certainly more than the two blades /. 136510 38 ARTIFICIAL AND NATURAL FLIGHT. This no doubt was due to the uneven surface of the tin. Had it been a well-made saw blade without teeth, perfectly smooth and true on both sides, it probably would not have required power enough to have shown on the dynamometer. However, it is quite possible that there is a little more skin friction with a polished metallic surface, than with a piece of smooth evenly lacquered wood. The screws which I employed were of American white pine such as used by patternmakers. This wood was free from blemishes of all kind, extremely light, uniform, and strong. When the screw had been formed, it was varnished on both sides with a solution of hot glue, which greatly increased the strength of the wood crosswise of the grain. When this glue was thoroughly dry, the wood was sand-papered until it was as smooth as glass ; the whole thing was then carefully var- nished with shellac, rubbed down again and revarnished with very thin shellac something like lacquer. In this way the surface of the screw was made very smooth. The screws, of course, were made with a great degree of accuracy and as free as possible from any unevenness. Having tested screw a, I next tested screw b. I found with the same number of revolutions per minute that this screw produced more thrust, but it required more power to run it, and when the energy imparted to the air was compared with the readings of the dynamometer, it was found that it did not do quite so well as a; still as the thrust was greater and the efficiency only slightly less, it appeared to be the better screw. Upon trying screw c, under the same conditions, the thrust was very much increased, but the power required was also increased to a still greater degree, show- ing that this form was not so favourable as either a or b. All the screws experimented with had very thin blades, and it occurred to me that the difference between a and b might arise from the fact that, when a was running at a very high velocity, the working side instead of being flat might have become convex to a slight extent, whereas with b, a slight bending back of the edges of the blade would still leave the working side concave. I therefore made the screw shown at e, which had the same pitch as the other three, but the working side was of the same shape as a. Of course the additional thickness of the blades made it impossible to give an easy curve to the back. Curiously enough I found that e, did nearly as well as a, and quite as well as b. The additional thickness did not interfere to PRINCIPALLY RELATING TO SCREWS. 39 any appreciable extent with its efficiency. I then made another propeller, shown at g, which was of the same thickness in the middle as e. Upon running this, I found that it required considerable power, and no matter which way it was run, the thrust was always in the direction of the convex side, which was quite the reverse from what one would have naturally supposed. About the time that I was making these experiments, my duties called me to Paris, and while there I called on my old friend Gaston Tissandier. Through his influence I was permitted to see some models of the screws that were alleged to have been used by Captain Renard in his experiments for the French Government, and I was some- what surprised to find the form of the blades, the same as Fig. 15. The manner of building up the large screws. shown at h, Fig. 14, and completely without any twist. On my return to England, I made a screw of this descrip- tion. It is also shown in the photographic illustration, Fig 9. Upon testing this screw, I found that its efficiency was only 40 per cent, of that of a that is, the energy or acceleration imparted to the air was only 40 per cent, of the readings of the dynamometer. It then occurred to me that this particular form of screw was probably the one that the French had for exhibition purposes, but not the one they intended to use. Having tried all the various forms of screws and other objects shown in Fig. 9, I made some sheet metal screws ; also a screw which consisted of a steel frame covered with woven fabric, and which was identical with screws that I had seen described in various works 4U ARTIFICIAL AND NATURAL FLIGHT. relating to aerial navigation. It was found quite impos- sible to keep the fabric taut and smooth, and the results were very bad indeed, it being only 40 per cent, as efficient as a well-made wooden screw. Having thus ascertained the best form of a screw, I built up my first large screws, which were 17 feet 10 inches in diameter, after the well-known manner of making wooden patterns for casting steamship propellers. Fig. 15 Fig. 16. A fabric-covered screw with a very low efficiency. shows the form of the end of the blade, the middle of the blade, and the hub. My first pair of large screws had a pitch of 24 feet, but these were too great a drag on the engine. I therefore made another pair with 16 feet pitch which greatly increased the piston speed, and permitted the engines to develop much more power; the screw thrust was also increased just in an inverse ratio to the pitch of the screws. Another pair of screws PRINCIPALLY RELATING TO SCREWS. 41 was tried with 14 feet pitch and 12 feet in diameter, but these did not do so well. My large screws were made with a great degree of accuracy ; they were perfectly smooth and even on both sides, the blades being thin and held in position by a strip of rigid wood on the back of the blade. In order to prevent the thrust from collapsing the blades, wires were extended backwards and attached to a prolongation of the shaft. Like the small screws, they were made of the very best kind of seasoned American white pine, and when finished were varnished on both sides with hot glue. When this was thoroughly dry, they were sand-papered again and made perfectly smooth and even. The blades were then covered with strong Irish linen fabric of the smoothest and best make. Glue was used for attaching the fabric, and when dry another coat of glue was applied, the surface rubbed down again and then painted with zinc white in the ordinary way and varnished. These screws worked exceedingly well. I had means of ascertaining, with a great degree of accuracy, the thrust of the screw, the number of turns per minute, the speed of the machine, and, in fact, all the events that were taking place on the machine. It was found that when the screw thrust in pounds was multiplied by the pitch in feet, and by the number of revolutions made in a minute of time, it exactly corresponded to the power that the engines were developing, and that the amount of loss in skin friction was so small as to be practically negligible. In connection with this subject I would say that many experimenters claim to have shown that the skin friction on screws is considerable, in fact, so great as to be a very important factor in the equation of flight. I am, however, of the opinion that these experimenters have not had well- made screws. If the surface of the screw is uneven, irregular, or rough, a considerable amount of energy is lost, as shown in the French screw and the fabric covered screw. It is simply a question of having a screw well- made. In those recently employed' in France (see Fig. 17), the blades are of hammered sheet metal, the twist is not uniform or true, and what is worst of all, the arm b projects on the back of the blade and offers a good deal of resistance to the air. This form of screw, however, is very ingenious ; as will be seen by the drawing, the pitch and diameter can be changed at will. It is, however, heavy, 42 ARTIFICIAL AND NATURAL FLIGHT. wasteful of power, and altogether too small for the work it has to do. The skin friction of screws in a steamship has led inventors to suppose that the same laws relate to screws running in air, but such is by no means the case. Fig. 17. The hub and one of the blades of the screw on the Farman machine. The blade c, is a sheet of metal riveted to the rod b, and forms a projection on the back of the blade which greatly reduces its efficiency. The peculiar form of hub employed makes it possible to change the diameter and pitch of this screw at will. In designing a steamship, we have to make a compromise in regard to the size of the screw. If the screw is too small, an increase in diameter is, of course, an advantage, and it may also be an advantage, not only to increase the S J n 14 ARTIFICIAL AND NATURAL PLIGHT. diameter, but also to reduce the pitch ; however, a point is soon reached where the skin friction will more than neutralise the advantages of engaging a larger volume of water. This is because the water adheres to the surface ; in fact, the skin friction of a ship and its screw consumes fully 80 per cent, of the total power of the engines, but with an air propeller its surface is not wetted and the air does not stick to its surface. If made of polished wood, the friction is so extremely small as to be almost untneasur- OOOOOOOOOOOOOOo Fig. 19. Shows the form of the blade of a screw propeller made of sheet metal. It is riveted at the edges and also to the arm of a screw with a stiffening piece at the extreme end. However, it is not necessary to rivet edges together. They may be welded with a flame of acetylene oxygen gases. Fig. 19a. Shows the manner of welding and the finished edge. able. The diameter of a well-made screw running in air is therefore not limited in any degree by skin friction, as is the case with a screw running in water ; in fact, it is rather a question of its weight, and its efficiency ought to increase in direct ratio with its diameter, because the area of the disc increases with the square of the diameter. The screw slip is therefore reduced by one-half by simply doubling the diameter of the screw. It will be understood that by doubling the diameter of the screw, four times as much air d b Fig. 20. A new form of hub, of great strength and lightness, for use on flying machines. 46 ARTIFICIAL AND NATURAL FLIGHT. will be engaged. If we push this back at half the speed, we shall have the same screw thrust, because the resistance of the air is in proportion to the square of the velocity that we impart to it, so that one just balances the other, and the diminution of wasteful slip is just in proportion to the increase in diameter. In all cases, the screw should be made as large as possible. In the drawing (Fig. 18) I have shown screw blades of a proper shape to give the best results that is, providing a metallic screw is employed. Instead of having the arm of the screw on the back of the blade to offer resistance to the air, the arm should be tubular, flattened, and covered on both sides with sheet metal. This particular formation not only prevents the air from striking the arm, but, at the same time, prevents the pressure of the air from deforming the blade, so, if a metallic screw is to be used, the form of blade which I have shown will be found much superior to that employed at the present time on continental flying machines. We should not lose sight of the fact that weight tells very seriously against the success of a flying machine, and that no expense should be spared to reduce the weight, providing that it is possible to do so without reducing the factor of safety. Suppose, for example, that we use an ordinary hub secured to a solid shaft by a common key. All the parts have to be made heavy in order to be sufficiently strong to withstand the strain. In the drawing (Fig. 20) I have shown a hub which I think is quite as light and strong as it is possible to make it. The action of the motor is often spasmodic and puts very great strain upon the parts, and there is a very strong tendency for the shaft to turn round in the hub. If a key is used, the hub has to be large and strong, and the key of con- siderable size, otherwise the parts would be deformed. In my own experiments, I have found .considerable difficulty in securing a shaft to wooden screws However, it will be seen in the drawings that a series of grooves is cut in the shaft and that the hub has internal projections, so that the one fits the other. This makes a very strong connection and is of extreme lightness. Both the hub and the shaft should be of tempered steel. The spokes should be hard drawn steel tubes with long fine threads, so as to with- stand centrifugal force. To prevent them from rotating in the hub, the nuts d, d are provided, which compress the arms of the steel hub so as to grip the tube with any PRINCIPALLY RELATING TO SCREWS. 47 degree of force required. It will be seen that with this system the pitch of the screw may be adjusted to some extent ; however, it is better to have all parts of the screw, from hub to centre, of the same pitch. A slight deviation from this is admissible in the experimental stage, so long as the deviation from a true screw, caused by rotating the arm, is not greater than one half of the slip while in flight. Many experimenters have imagined that a screw is just as efficient placed in front of a machine as at the rear, and it is quite probable that, in the early days of steamships, a similar state of things existed. For several years there were steamboats running on the Hudson River, New York, with screws at their bows instead of at their stern. In- ventors of, and experimenters with, flying machines are not at all agreed by any means in regard to the best position for the screw. It would appear that many, having noticed that a horse -propelled carriage always has the horse attached to the front, and that the carriage is drawn in- stead of pushed, have come to the conclusion that, in a flying machine, the screw ought, in the very nature of things, to be attached to the front of the machine, so as to draw it through the air. Railway trains have their propelling power in front, and why should it not be the same with flying machines ? But this is very bad reasoning. There is but one place for the screw, and that is in the immediate wake, and in the centre of the greatest atmos- pheric disturbance. While a machine is running, although there is a marked difference between water and air as far as skin friction is concerned, still the conditions are the same as far as the position of the screw is concerned. With a well-designed steamship, the efficiency of the screw is so great as to be almost unbelievable; in fact, if a steamship had never been made, and the design of one should be placed before the leading mathematicians of to- day, with the request that they should compute the efficiency of the screw, none of them would come anywhere near the mark. They would make it altogether too small. As before stated, when a steamship is being driven through the water, the water adheres to its sides and is moved forward by the ship that is, it has acceleration imparted to it which exactly corresponds to the power consumed in driving the ship through the water. This, of course, retards it, and we find in a well-designed ship, not run above its natural speed, that about 80 per cent, of the 48 ARTIFICIAL AND NATURAL FLIGHT. power of the engine is consumed in skin friction, or in imparting a forward motion to the water. Suppose that we should take such a ship, remove the screw, and tow it through the water with a very long wire rope at a speed of, say, 20 miles an hour ; we should find that the water at the stern of the ship was moving forward at a velocity of fully 6 miles an hour that is, travelling in the same direction as the ship. By replacing the screw, and applying engine power sufficient to give the ship the same speed of 20 miles an hour, identical results would be produced. The skin friction still impels the water forward, so that the screw, instead of running in stationary water, is actually running in water moving in the same direction as the ship at a velocity of 6 miles an hour. If the slip of the screw should only be equal to this forward motion, the apparent slip would be nothing ; in fact, the ship would be moving just as fast as it would move if the screw were running in a solid nut instead of in the yielding water. Curiously enough there have been cases of negative slip in which the actual slip of the screw in the water was less than the forward movement of the water, and in such cases a ship is said to have negative slip. A very noticeable case of this kind occurred in the Koyal Navy in the sixties.* I was at the time engaged in a large shipbuilding establishment in New York, and remember distinctly the interest that the case created amongst the draughtsmen and engineers of that establishment. Of course, this apparently impossible phenomenon created a great deal of discussion on both sides of the Atlantic. It appears that this ship had been built under an Admiralty Specification which called for a screw of a certain diameter and pitch with a specified number of revolutions per minute, and for a certain number of knots per hour, also that the boiler pressure should not go above a certain number of pounds per square inch. When the ship was finished and went on her trial trip, it was found impossible to make the full number of turns called for in the specifi- cation with the boiler pressure allowable ; nevertheless, the speed was greater than the specification called for, and as speed was the desideratum, and not the number of revolutions, the contractors thought their ship should be accepted. Then arose a discussion as to the diameter and * The particulars relating to this event are taken from accounts published at the time in American papers. PRINCIPALLY RELATING TO SCREWS. 49 pitch of the screw. It was claimed that a mistake must have occurred. A careful measurement was made in the dry dock, and all was found correct. Once more the ship was tried, and again her speed was in excess of the specifi- cation, notwithstanding that it was still impossible to get the specified number of revolutions per minute. Mathe- maticians then took the matter in hand, and it was found that the ship actually travelled faster than she would have done if the screw had been running in a solid nut. Instead of a positive slip, the screw had in reality a negative slip ; but this was not believed at the time, and the discussion and controversy continued. The ship was tried again and again, and always with the same results. This apparently inexplicable phenomenon was accounted for in the following manner : The hull of the ship was said to be rather imperfect and to cause a considerable drag in the water, so that, when the ship was moving at full speed, the water at the stern had imparted to it a forward velocity greater than the actual slip. What is true of ships is true of flying machines. Good results can never be obtained by placing the screw in front instead of in the rear of the machine. If the screw is in front, the backwash strikes the machine and certainly has a decidedly retarding action. The framework, motor, etc., offer a good deal of resistance to the passage of the air, and if the air has already had imparted to it a backward motion, the resistance is greatly increased. The framework will always require a considerable amount of energy to drive it through the air, and the whole of this energy is spent in imparting a forward motion to the air, so if we place the propelling screw at the rear of the machine in the centre of the greatest atmospheric resistance, it will recover a portion of the lost energy, as in the steamship referred to. It will, therefore, be seen that when the screw is at the rear, it is running in air which is already moving forward with a considerable velocity, which reduces the slip of the screw in a corresponding degree. I have made experiments with a view of proving this, which I shall mention further on, and which ought to leave no chance for future discussion. My first experiments had shown that wooden aeroplanes did much better than any of the fabric covered aeroplanes that I was able to make at that time, but as wood was quite out of the question on my large machine on account 50 ARTIFICIAL AND NATURAL FLIGHT. of its weight, it was necessary for me to conduct experi- ments with a view of ascertaining the relative values of different fabrics. For this purposes, I made the little apparatus shown (Fig. 21). This was connected to a tan blower driven by a steam engine having a governor that worked directly on the point of cut-off. The speed was, therefore, quite uniform and the blast of air practically constant. I had a considerable number of little frames cut out of sheet steel, and to these I attached various kinds of fabric, such as ordinary satin, white silk, closely woven silk, linen, various kinds of woollen fabrics, including some Fig. 21. Small apparatus for testing fabrics for aeroplanes, the material being subjected to an air blast in order to test its lifting effect as compared with its tendency to travel with the blast. very coarse tweeds, also glass-paper, tracing linen, and the best quality of Spencer's balloon fabric. The blast of air was not large enough to cover the whole surface of the aeroplanes, so that the character of the back of the frames was of no account. The first object experimented with was a smooth piece of tin. When this was placed at an angle of 1 in 14, it was found that the drift or tendency to travel in the direction of the blast was just one-fourteenth part of the upward tendency, or lift. This was exactly as it should have been. Upon changing the angle to 1 in 10, a similar thing occurred ; the lift was ten times 52 ARTIFICIAL AND NATURAL FLIGHT. the drift. I, therefore, considered the results obtained with the sheet of tin as unity, and gave to every other material experimented with/a coefficient of the unity thus established. Upon testing a frame covered with tightly- drawn white silk, a considerable amount of air passed through, and with an angle of 1 in 14, the lift was only about double the drift. A piece of very open fabric, a species of buckram, was next tried, and with this the lift and drift were about equal. With closely-woven, shiny satin the coefficient was about '80; with a piece of ordinary sheeting the coefficient was '90 ; with closely - woven, rough tweeds, '70 ; and with glass-paper about '75. Fig. 23. Apparatus for testing aeroplanes, condensers, etc., in an blast. The opening is 3 feet shown in position for testing. blast. The opening is 3 feet square. Thin brass sustainers are n fo With a piece of tracing linen very tightly drawn, results were obtained identical with those of a sheet of tin, and with Spencer's balloon fabric the coefficient was about '99. I, therefore, decided to cover my aeroplanes with this material. It will be observed that the apparatus is so arranged that both the lift and the drift can be easily measured. In order to ascertain the resistance encountered by various shaped bodies driven at various speeds through the air, the best form of aeroplanes, and the efficiency of atmospheric condensers, I made the apparatus shown in Figs. 22 and 23. The smaller and straight portion of this PRINCIPALLY RELATING TO SCREWS. ct apparatus was 12 feet long and exactly 3 feet square inside, and was connected as shown to a shorter box 4 feet square. Two strongly made wooden screws 6, 6 and d, were attached to the same shaft. These screws had two blades each, and while one pair of blades was in a vertical position, the other was in a horizontal position. I interposed between the screws, slats of thin wood arranged in the manner shown at d, d; this was to prevent rotation of the air. At e I placed vertical slats of thin wood, and horizontal slats of the same size at /. At g two wide and thin boards, sharp at both edges and made in the form of the letter X, were placed in the box as shown in section XY. An engine of 100 H.P. with an automatic variable cut-off was employed which gave to the screws a uniform rate of rotation, and as the engine had no other work to do, the governor could be arranged to give varying speeds such as were required for the experiments. The objects to be tested were attached to the movable bars. In the drawing, the aeroplane k, k is shown in position for testing. This appar- atus was provided with a rather complicated set of levers, which permitted not only the measure- ment of the lift of the objects Fig. 24 - C ^-sect/io ns of experimented with, but also that foTas^ertSning^he co- of the drift. The principle em- efficient of different forms. plo3 7 ed in this apparatus was a modification of the ordinary weighing apparatus used by grocers, etc. The first object tested was a bar of wood exactly 2 inches square shown in Fig. 24. This was placed in such a manner that the wind struck squarely against the side as shown in the drawing, and with a wind of 49 miles per hour, it was found that the drift or tendency to move with the air was 516 Ibs.; at the same time, the wind on my instrument gave a pressure of 2 Ibs. on a normal plane 6 inches square. The velocity of the wind was ascertained by an anemometer of the best London make. 54 ARTIFICIAL AND NATURAL PLIGHT. Upon turning the same bar of wood in the position shown at b, the drift mounted to 5'47 Ibs. A round bar of wood, 2 inches in diameter, shown at c, gave a dritt ot 2W Ibs. These experiments were repeated with a wind velocity ot 40 miles per hour, when it was found that the drift ot a was 4-56 Ibs., and that of the round bar, 2'80 Ibs. It will xperir purpose of ascertaining their coefficients as relates to a normal plane. be seen from these experiments that the power required for driving bars or rods through the air is considerably greater than one would have supposed. The next object experimented with was a, Fig. 25. When this was subject to a wind of 40 miles an hour, the drift was 0-78 Ib. Upon reversing this bar that is, putting the thin edge PRINCIPALLY RELATING TO SCREWS. 55 instead of the thick edge next to the wind the drift mounted to 1'22 Ibs.; 6 showed a drift of 0'28 Ib. with the thick edge to the wind, and 0'42 Ib. with the thin edge to the wind ; e showed a drift of 0'23 Ib with the thick edge to the wind, and 0'59 Ib. with the thin edge to the wind; and d, which was the same thickness as the others and 1 2 inches wide, both edges being alike, showed a drift of only 0'19 Ib. These experiments show in a most conclusive manner the shapes that are most advan- tageous to use in constructing the framework of flying machines. Aeroplane e, Fig. 26, when placed on the Angle One in Twenty. Angle One in ^Sixteen,. Fig. 26. A flat aeroplane placed at different angles. machine in a horizontal position showed neither lift nor drift, but upon placing it at an angle of 1 in 20, as shown at /, the lift was 3'98 Ibs. and the drift 0'30 Ib. with a wind velocity of 40 miles per hour. At this low angle the blade trembled slightly. Upon placing the same plane at an angle of 1 in 16 as shown at g, the lift was 4%59 Ibs. and the drift 0'53 Ib. It will be observed that the underneath side of this plane is perfectly flat. The next experiment was with planes slightly curved, as shown in Fig. 27. The aeroplane a was 16 inches wide, very thin, and only slightly curved. When set at a very low angle, 56 ARTIFICIAL AND NATURAL FLIGHT. it vibrated so as to make the readings very uncertain, but when set at an angle of 1 in 10 it lifted 9'94 Ibs. with a drift of 1-12 Ibs. By slightly changing the angle it was made to lift 10'34 Ibs. with a drift of T23 Ibs the wind velocity being 41 miles per hour. Aeroplane b 12 inches wide, Fig. 27, when placed at an angle of 1m 14 with an air blast of 41 miles per hour, gave a hit ot 5-28 Ibs. with a drift of 0'44 lb.; at an angle of 1 in 12 the lift was 5'82 Ibs. and the drift 05 lb.; at an angle ot 1 in 10 the lift was 675 Ibs. and the drift 073 lb.; with an angle of 1 in 8 the lift was 7 75 Ibs. and the drift 1 lb. ; . 16" - - Fig. 27. Group of aeroplanes used in experimental research. Although shown the same size in the drawing, aeroplane a was 16 inches wide, and b and c, 12 inches wide. with an angle of 1 in 7 the lift was 8*5 Ibs. and the drift 1-25 Ibs. ; at an angle of 1 in 6 the lift was 9 '87 Ibs. and the drift 171 Ibs. Aeroplane c, Fig. 27, which had more curvature than 6, when run in a horizontal position, gave a considerable lift, and when raised to an angle of 1 in 12 it gave a lift of 6'12 Ibs. with a drift of 0'54 lb. In another experiment at the same angle, it gave a lift of 6-41 Ibs. with a drift of 0'56 lb.; at an angle of 1 in 16 it gave a lift of 5*47 Ibs. with a drift of 0'37 lb. ; at an angle of 1 in 10 it gave a lift of 6'97 Ibs. and a drift of 070 lb. ; at an angle of 1 in 8 it gave a lift of 8'22 Ibs. with a drift PRINCIPALLY RELATING TO SCREWS. 57 of 1'08 Ibs. ; at an angle of 1 in 7 it gave a lift of 9'94 Ibs. with a drift of T45 Ibs. ; at an angle of 1 in 6 it gave a lift of 10-34 Ibs. and a drift of 175 Ibs. This plane was then carefully set so that both the forward and aft edges were exactly the same height, and with a wind blast of 41 miles per hour it gave a lift of 2'09 Ibs. with a drift of 0-21 Ib. It was then pitched 1 in 18 in the wrong direction, and at this point, the lifting effect completely disappeared, while the drift was practically nothing. When the aeroplane a (Fig. 28) was placed in a hori- zontal position, and the apparatus carefully balanced, it showed at a wind velocity of 40 miles an hour, a lift of 1-56 Ibs., and a drift of 08 Ib. ; at an angle of 1 in 20, a lift of 3'62 Ibs. and a drift of 0'21 Ib. ; at an angle of 1 in 16, a lift of 4-09 Ibs. with a drift of 0'26 Ib. ; at an angle Fig. 28. An 8 -inch aeroplane which did very well. This aeroplane gave decided lifting effect when the bottom side was placed dead level, as shown at a. of 1 in 14, a lift of 4'5 Ibs. and a drift of 0'33 Ib.; at an angle of 1 in 12, a lift of 5 Ibs. and a drift of 043 Ib. ; at an angle of 1 in 10, a lift of 575 Ibs. and a drift of 60 Ib. j at an angle of 1 in 8, a lift of 675 Ibs. and a drift of 0-86 Ib. The blast was then increased to a velocity of 47-33 miles an hour, when it was found that the lift at an angle of 1 in 16 was 5 Ibs. and the drift 0'33 Ib. It will be observed that this aeroplane was only 8 inches wide, while the others were 12 inches or more. They were all rather more than 3 feet long, but the width of the blast to which they were subjected was exactly 3 feet, and they were placed as near to the end of the trunk as possible. . The next experiments were made with the view ot ascertaining what effect would be produced when objects ;,S ARTIFICIAL AND NATURAL FLIGHT. were placed near to each other (see Fig. 29). Two bars of wood 2 inches thick, and shaped as shown in the drawing, Fig. 29. Resistance dxie to placing objects in close proximity to each other. were placed on the machine and subjected to a blast of 41 miles per hour ; the drift at various distances from center to center was as follows : 24 inches centers, 22 20 18 16 14 12 10 8 6 4 drift 6 ozs. 6 6 64 7 7f PRINCIPALLY RELATING TO SCREWS. 59 It will be seen by this that the various members con- stituting the frame of a flying machine should not be placed in close proximity to each other. A bar of wood similar in shape to d (Fig. 25), but being 9 inches wide instead of 12 inches, was mounted in a wind blast of 41 miles an hour, with the front edge 3'31 inches above the rear edge, and this showed a lift of 7 08 Ibs. and a drift of 3'23 Ibs. When the angle was reduced to -'31 inches, it gave a lift of 4'53 Ibs. with a drift of 0'78 -lb., and with the angle reduced to 1*31 inches, the lift was 3-37 Ibs. and the drift 0'5 Ib. It will, therefore, be seen that even objects rounded on both sides give a very fair lift, and in designing the framework of machines advantage should be taken of this knowledge. The bar of wood c (Fig. 25) was next experimented with. With the sharp edge to the wind, and with the front edge 2 inches higher than the rear edge, the lift was 2*54 Ibs. and the drift 76 Ib. By turning it about so that the wind struck the thick edge, the lift was 4-45 Ibs. and the drift 0'47 Ib. This seemed rather remarkable, but, as it actually occurred, I mention it for other people to speculate upon. It, how- ever, indicates that we should take advantage of all these peculiarities of the air in constructing the framework of a machine, which in itself is extremely important, as I find that a very large percentage of the energy derived from the engines is consumed in forcing the framework through the air. It is quite true that a certain amount of this energy may be recovered by the screw, provided that the screw runs in the path occupied by the framework. Still, it is much better that the framework should be so con- structed as to offer the least possible resistance to the air, and, as far as possible, all should be made to give a lifting effect. Having ascertained the lifting effect of wooden aero- planes of various forms and at varying velocities of the wind, and, also, the resistance offered by various bodies driven through the air, I next turned my attention to the question of condensation. I wished to recover as much water as possible from my exhaust steam. I had already experimented with Mr. Horatio Philipps' sustainers, and I found that their lifting enect was remarkable. A curious thing about these aeroplanes was that they gave an appreciable lift when the front edge was rather lower than the rear. I therefore determined to take advantage of this flO ARTIFICIAL AND ^NATURAL FLIGHT. peculiar phenomenon, and to make my condenser tubes as far as possible in the shape of Mr. Philipps sustamers. Ficr 30 shows a section of one of these tubes, in which a, a is the top surface, b a soldered joint, and c the steam space. Fig. 30. Cross-section of condenser tube, made in the form of Philipps' sustainers, in which c is the steam passage. These were mounted on a frame as shown at a (Fig. 31). I had already found that bodies placed near to each other offered an increased resistance to the air, but by placing Fig. 31. The grouping of condenser tubes, made in the form of Philipps' sustainers. This arrangement is very effective, condenses the steam or cools the water, and gives a lifting effect at the same time. The shape and arrangement of tubes shown at b, I), although effective as a condenser, produce no lifting effect, but a rather heavy drift. these sustainers in the manner shown this was avoided, as the air had sufficient space to pass through without being either driven forward or compressed. It was found by experiment that the arrangement of tubes or sustainers, PRINCIPALLY RELATING TO SCREWS. 61 shown at d, d (Fig. 31), was very efficient as a condenser, but it gave a very heavy drift and no lifting effect at all ; whereas, on the other hand, the arrangement shown at a was equally efficient, and, at the same time, gave a decided lifting effect. When twelve of these tubes or sustainers were placed at an angle of 1 in 12, the lifting effect was 12 -63 Ibs. and the drift 2 -06 Ibs. It was found, however, that a good deal of the drift was due to the wind getting at the framework that was used for holding .the sustainers in position. With a wind velocity of 40 miles an hour and a temperature of 62 F., 2'25 Ibs. of water were condensed in five minutes, and, while running, the back edge of the sustainers was quite cool. At another trial of the same arrangement under the same conditions, the lift was 11 Ibs. and the drift 2'63 Ibs. It is quite possible on this occasion that the metal was so extremely thin that the angles were not always maintained ; conse- quently, that no two readings would be alike. It was found at this point that the belt was slipping, and a larger pulley was put on the driving shaft of the screws; and under these conditions, with a wind of 49 miles per hour and an angle of 1 in 8, the lifting effect ran up to 14'87 Ibs. with a drift of 2*44 Ibs., and the condenser delivered 2*87 Ibs. of water from dry steam in five minutes. The weight of metal in this condenser was extremely small, the thick- ness being only about -tb- of an i ncn - This condenser delivered the weight of the sustainers in water every five minutes. They should, however, have been twice as heavy. Cylinder oil was now introduced with the steam in order to ascertain what effect this would have. After seven minutes' steaming, 2'25 Ibs. of water were condensed in five minutes. It will be seen from these experiments that an atmospheric condenser, if properly constructed, is fairly efficient. Koughly speaking, it requires 2,400 times as much air in volume as of water to use as a cooling agent. With the steam engine condenser only a relatively small amount of water is admitted, and this is found to be sufficient ; but in an atmospheric condenser working in the atmosphere, it must be as open as possible, so that no air which has struck one heated surface can ever come in contact with another. CHAPTER V. EXPERIMENTS WITH APPARATUS ATTACHED TO A ROTATING ARM. FROM what information I have at hand, it appears that Prof. Langley made his first experiments with a small apparatus, using aeroplanes only a few inches in dimensions which travelled round a circle perhaps 12 feet in diameter. With this little apparatus, he was able to show that the lifting effect of aeroplanes was a great deal more than had previously been supposed After having made these first experiments, he seems to have come to the conclusion that Newton's law was erroneous. Shortly after Langley had made these experiments on what he called a whirling table, which, however, was not a very appropriate name, I made an apparatus myself, but very much larger than that employed by Prof. Langley. I reckoned the size of my aeroplanes in feet, where he had reckoned his in inches. The circumference of the circle around which my aeroplanes were driven was exactly 200 feet, and shortly after this Langley constructed another apparatus, the same dimen- sions as my own. From an engraving which I have before me, it appears that he constructed an extremely large wooden scale beam supported by numerous braces, but free to be tilted in a vertical direction after the manner of all other scale beams. As this apparatus was of great weight and offered enormous resistance to the air, I do not under- stand how it was possible to obtain any very correct readings, especially as it was in the open and subject to every varying current of air. In constructing my apparatus, which is shown in the photographs, and also in a side elevation (Fig. 32), I aimed at making the apparatus very light and strong, avoiding as far as possible atmospheric resistance. In the drawing, a, is a thick seamless steel pipe 6 inches diameter; 6, is a cast- iron pedestal firmly bolted to d, and connected to a large cast-iron spider embedded in hydraulic cement; by this means great rigidity and stiffness were obtained, n, n was formed of strong Georgia pine planks 2 inches thick, and 11} ARTIFICIAL AND NATURAL FLIGHT. strongly bolted together. The two members of the long radial arm h, h, were made of Honduras mahogany, an extremely strong wood, and had their edges tapered off as shown at y, y. The power was transmitted from a small steam engine provided with a sensitive governor through the shaft/,/. In the base c, of the casting b, was placed a pair of tempered steel bevel gears, giving to the vertical shaft a high velocity. From a pulley on the top of this shaft, the belt i, was run through the arms h, h, as shown in section y, y. This gave a rapid rotation to the screw shaft in a very simple manner. The operation of the machine Fig. 33. A screw and fabric covered aeroplane in position for testing. was as follows : the aeroplane g, to be tested was secured to a sort of weighing apparatus which is shown in detail (Fig. 36), and the screw attached to the shaft. Upon starting the engine, a very rapid rotation was given to the screw which caused the radial arm to travel at a high velocity, the whole weight resting on a ball bearing at w. The radial arms and all of their attachments were balanced by a cigar-shaped lead weight 8, which was secured to a sliding bar so as to make it easily adjustable. The thrust of the screw caused the screw shaft to travel longitudinally, and this was opposed by a spring connected by a very EXPERIMENTS WITH APPARATUS. 65 thin and light wire to the pointer of the index o. As the apparatus rotated rather slowly on account of its great diameter, it was quite possible to observe the lift while the machine was running at its highest speed. The aeroplanes were mounted after the manner of the tray of a grocer's scales (see Fig. 36), and the lift of the aeroplane was determined by what it would lift at r that is, while the machine was running at a given speed, iron or lead weights were placed in the pail r, until the lift of 'the aeroplane was exactly balanced, and then, in order to Fig. 34. The rotating arm of the machine with a screw and aeroplane attached. ascertain exactly what the lift was, the aeroplane was placed under what might be called a small crane, and a cord, running over a pulley, attached. The amount of weight necessary to lift the plane into the same position that it occupied while running was taken as its true lift. In order to facilitate experiments the gauge p, was provided. This gauge consisted of a large glass tube and the index p, with a quantity of red water at q. The 66 ARTIFICIAL AND NATURAL FLIGHT. centrifugal force of rotation caused the red water to rise in the tube. This was easily seen, so that if experiments were being tried, we will say at 50 miles an hour, it was always possible to turn on steam until the red liquid mounted to 50. This device was very simple and effective, and saved a great deal of time. In order to prevent the twisting of the radial arm, a piece of stiff oval steel tube 12 feet long was secured between the arms at j, and on each end of this tube were attached the wires Fig. 35. The little steam engine used by me in my rotating arm experi- ments ; the tachometer and dynamometer are distinctly shown. u, u. This not only effectually supported the end of the arm, but at the same time prevented twisting and made everything extremely stiff. Of course, while the machine was running at a high velocity, centrifugal force had to be dealt with, and in order to prevent this from causing friction in the articulated joints of the weighing apparatus (Fig. 36), thin steel wires k, k were provided. As this apparatus was in the open, it was found that the slightest movement of the air greatly interfered with its action. On one occasion when a fabric covered aero- EXPERIMENTS WITH APPARATUS. 67 plane, 4 feet long by 3 feet wide, was placed in position, the four corners being held down by the wires v, v, and the apparatus driven at a high velocity, a sudden gust of wind snapped two of the wires, broke the aeroplane, and the flying fragments smashed the screw, and this notwith- standing that each of the four wires was supposed to be strong enough to resist at least four times any possible lifting that the whole aeroplane might be subjected to. In order to ascertain the force and direction of the wind, I made an extremely simple and effective apparatus which is fully shown (see Fig. 38). Whilst conducting these experiments it occurred to me, when a large aeroplane was used, that after it had been travelling for a consider- able time, it would impart to the air in the path of its travel, a downward motion, and that the lifting effect would be greatly reduced on this account. In order to test this, I provided four light brass screws and mounted them, as shown at x, on a hardened polished steel point much above their centre of gravity, so that they balanced themselves. On account of the absence of friction, they were easily rotated, and responded to the least breath of air that might be moving. One morning when there was a dead calm, I placed four of these screws equidistant around the whole circle. Some of them rotated very slowly in one direction and some in another ; some alter- nated, but all their motions were extremely slow. However, upon setting the machine going with a large aeroplane and a powerful screw, I found after a few turns that the air was moving downwards around the whole circle at a velocity of about 2 miles an hour, but as the screw was a considerable distance below the aeroplane, I estimated that the actual downward velocity of the air in which the aeroplane was travelling was about 4 miles an hour. The result of my experiments are clearly shown in an unpublished paper which I wrote at the time, and as it is of considerable historical interest, I have placed it in the appendix, notwithstanding that there may be certain repetitions. In Fig. 36, a, a is the body of the apparatus, partly of gunmetal and partly of wood. It is provided with a steel shaft to which the screw h, is attached, and also with a cylindrical pulley for taking the belt. The thrust of the screw pushes the shaft inwards and records the lift at o (Fig. 32). The corners of the aeroplane g, g, are attached 68 ARTIFICIAL AND NATURAL PLIGHT. by wires to the steel plate e. b, b, is a four-arm spider for holding the ends of the parallel bars c, c, and d, d, show vertical steel bars to which all devices to be tested are attached. In testing aeroplanes, weights may be placed at e, sufficient to balance the lifting effect, and then by adding the weight to the upward pull of the aeroplane, the true lift of the aeroplane is obtained. It is also possible to attach an aeroplane at e, that is, the machine was made to test superposed aeroplanes if required. In Fig. 36. The machine attached to the end of the rotating shaft a, a, the body of the machine ; 6, b, four-legged spider secured to a, a ; c, c, parallel bars ; d, d, vertical member to which the aeroplane g, Gentle, pleasant wind. 8 704 11-7 192 \ 10 880 14-7 3 Fresh breeze. 15 1,320 22 675 Brisk breeze. 20 1,760 29-4 12 Stiff breeze. 25 2,200 36-7 1-875 Very brisk breeze. 30 35 2,640 3,080 44 51-3 2-7 3-675 | High wind. 40 45 3,520 3,960 58-7 66 .4-8 6075 Very high wind. Gale. 50 4,400 73-4 7-5 Storm. 60 70 5,280 6,160 88 102-7 10-8 14-7 j- Great storm. 80 7,040 117-2 19-2 Hurricane. 90 100 7,920 8,800 132 146-7 24-3 30 i Tornado. 110 9,680 161-2 36-3 120 10,560 176 43-2 130 140 11,440 12,320 191 205-3 50-7 58-8 " Washoe zephyrs." * 150 13,200 220 67-5 * With apologies to Mark Twain. SOME RECENT MACHINES. A 115 Fig. 72a. Angles and degrees compared. It will be observed that an angle of 1 in 4 is practically 14. TABLE OF EQUIVALENT INCLINATIONS. Rise. Sine of Angle. Angle in Degrees. 1 in 30, 0333 1-91 1 25, ... 04 2-29 1 20, ... 05 2-87 1 18, ... 0555 3-18 1 16, ... 0625 3-58 1 14, ... 0714 4-09 1 12, ... 0333 4-78 1 10, ... 1 573 1 9, ... 1111 6-38 1 8, ... 125 7-18 1 7, ... 143 8-22 1 6, ... 1667 9-6 1 5, ... 2 11-53 1 4, ... 25 14-48 1,3, 3333 19-45 116 ARTIFICIAL AND NATURAL FLIGHT. TABLE OF EQUIVALENT VELOCITIES. Miles per Hour. Feet per Second. Feet per Minute. Metres per Minute. Metres per Second. 1, 1-5 88 26-8 447 2, 2-9 176 53-6 894 3, 4-4 264 80-5 1-341 4, 5-9 352 107-3 1-788 5, 7-3 440 134-1 2-235 6, 8-8 528 160-9 2-682 8, 11-7 704 214-6 3-576 10, . . 14-7 880 268-2 4-470 15, 22 1,320 402-3 6-705 20, 29-4 1,760 536-4 8-940 25, . . 36-7 2,200 670-5 11-176 30, 44 2,640 804-6 13-411 35, 51-3 3,080 938-8 15-646 40, 58-7 3,520 1,072-9 17-881 45, 66 3,960 1,207 20-116 50, 73-4 4,400 1,341-1 22-352 60, 88 5,280 1,609-2 26-822 70, 102-7 6,160 1,877-5 31-292 80, 117-2 7,040 2,145-8 35-763 90, 132 7,920 2,414 40233 100, 146-7 8,800 2,682-2 44-704 110, 161-2 9,680 2,950-2 49-174 120, 176 10,560 3,218-4 53-644 130, . . 191 11,440 3,486-6 58-115 140, . . 205-3 12,320 3,755-1 62 '585 150, 220 13,200 4,023-3 67-056 To convert feet per minute into metres per second, multiply by -03508. SOME RECENT MACHINES. 117 eo . co co MS -* eo op ip CN Ol T** W ii QO eo cp ep >o sc i -< p ao - rf 2" 2 8" 8 g 8 S" !8 8" 8" 8" 8" S 118 ARTIFICIAL AND NATURAL FLIGHT. Fig. 726. When an aeroplane is driven through the air, it encounters stationary air and leaves it with a downward trend. With a thick curved aeroplane, as shown, the air follows both the top and the bottom surfaces, and the direction that the air takes is the resultant of these two streams of air. It will be seen that the air takes the same direction that it would take if the plane were flat, and raised from a to c, which would be substantially the same as shown at /, h, g. It has, however, been found by actual experiment that the curved plane is preferable, because the lifting effect is more evenly distri- buted, and the drift is less in proportion to the lift. O Fig. 72c. Aeroplanes experimented with by Mr. Horatio Philipps. In the published account which is before me, the angles at which these planes were placed are not given, but, by comparing the lift with the drift, we may assume that it was about 1 in 10. | Fig. 5 seems to have been the best shape, and I find that this plane would have given a lifting effect of 2 -2 Ibs. per square foot at a velocity of 40 miles per hour. SOME RECENT MACHINES. 119 1 s IQ co co co co eo 3 M q ^bbbbb"* 00 c E S^ obbbobbo i III & q? c5 h co oo oo co eo co ppSSpppp | _ in ....*..-.. 1 1 5 l . " w PH X X X X X X XojO g i olso^tooasj !L 05 ^ CO 05 -H 05 Sg '.-..". ... 21,22,25,26,28,29 Behaviour of, ... .. . . m . . . 26 Flying of, . ... . . .- . ' - ; ' ,. . 25, 28, 29 LANGLEY, Experiments of, . . . . ' 9, 62, 99, 109 ,, on the flight of birds, . '..'*> . . 11,22 on the power exercised by birds, . . . . ' 12 "La Patrie," . . . . . '.-;''. 124 Lifting effect of aeroplanes, . . . . 5 , , surface of aeroplanes, . . . .... 103 Low temperature of space, . . . . '. . 15 MAJOR BADEN POWELL'S demand, ..... 125 Mistral, The, . . . . . . .21 Motors, Development of, . . .:-." '.'.'-. . 31 Motor, The Antoinette, . . . . ' . . . 89 My compound engines, . . . - . . . 142 ,, experiments with aeroplanes, . . 7 ,, ,, large machine, . ; ' . .<.'" 10, 133 ,, steam engines, . ' . . "'-.'' . . ' . 155 NEWTON'S Law, . . . . . 2, 6 " Nulli Secundus," . . . ... '. ." 28,121 OIL engines, . . . . .' v . . 154 PHILIPPS' experiments, . . 9, 118, 119, 145 ,, sustainers, ....... 145 Pneumatic buffer, . . ' . . .90 Position of screw, . . . . ... 49 Power exerted by a land animal, . . . .13 required, . . . , , : -. - . 100 Principally relating to screws, ..... 31 RAYLEIGH'S experiments in reference to Newton's law, . . 6 Recapitulation of early experiments, . . Recent machines, .... . 109 Relative value of woods for flying machines, . Reserve energy necessary in flying machines, Resistance encountered by various shaped bodies, Rotating arm experiments, ... . 64-72 SANTOS DUMONT'S flying machine, ... .113 Screw blade on Farman's machine, ,, blades, Testing of, . 36 ,, ,, used by the French Government, ... .39 106 INDEX. Screw blades with radial edges, Fabric-covered, . ,, Position of, ,, propeller made of sheet metal, propellers, Efficiency of, Screws, .... Building up of my large, ,, their efficiency in steamships, Shape and efficiency of aeroplanes, Skin friction, . Spider's webbing down from the sky, Spirit lamp and ice box, Stability of flying machines, . Steam engines used by me, Steering, ..... Superposed aeroplanes, System of splicing and building up wooden members, ''-; . 43 40 49 41 33, 147 8 31, 35, 36, 40, 41, 46, 47, 49 40 47 . 41,48 27 62 147, 150 . 155 147, 149 144 TABLES : Equivalent inclinations, ..... ,, velocities, ...... French and English measurements, . . . 128, Philipps' experiments, ..... Relative value of different woods, .... Showing the relative power exerted by different birds, Velocity and pressure of the wind, .... ,, ,, thrust corresponding with various horse-powers, Testing aeroplanes, condensers, etc., . . . . . Teutonic vision of aerial power, ..... VELOCITY and pressure of wind, ..... ,, thrust corresponding with various horse-powers, "Villede Paris," . 115 116 129 119 85 24 114 117 52 126 114 117 123 WEIGHT BROS.' experiments, ZEPPELIN'S experiments, . 109, 159, 162 . 124, 159, 161 UKLL AND BAIN, LIMITED, PRINTERS, GLASGOW. This book is DUE on the last date stamped below University of California SOUTHERN REGIONAL LIBRARY FACILITY 405 Hilgard Avenue, Los Angeles, CA 90024-1388 Return this material to the library from which it was borrowed. 001 181 414 2 Univer !=>ou Lil