Aerodynamics: Constituting the First Volume of a Complete Work on Aerial Flight

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D. Van Nostrand, 1908 - 442 ページ
 

目次

The Transference of Energy by a Body
11
Need for Hydrostatic Pressure
15
The Motion of the Fluid 14 A Question of Relative Motion
16
Displacement of the Fluid Cavitation 16 Orbital Motion of the Fluid Particles
17
Orbital Motion and Displacement Experimental Demonstration 18 Orbital Motion Rankines Investigation 19 Bodies of Imperfect Streamline Form
19
The Doctrine of Kinetic Discontinuity
21
Experimental Demonstration of Kinetic Discontinuity
23
Wake and Counterwake Currents 23 Streamline Motion in the Light of the Theory of Discontinuity 24 Streamline Form in Practice 25 Streamline For...
26
Mutilation of the Streamline Formcontinued
27
Streamline Flow General
28
Displacement due to Fluid in Motion 30 Examples Illustrating Effects of Discontinuous Motion
40
CHAPTER II
46
Viscosity in Relation to Shear
47
Skin Friction
48
Skin Friction Basis of Investigation
49
Law of Skin Friction
50
Kinematical Relations
51
Turbulence 38 General Expression Homomorphous Motion 39 Corresponding Speed
54
Energy Relation
56
ResistanceVelocity Curve
57
ResistanceLinear Curve
58
Other Relations
59
Form of Characteristic Curve
60
Consequences of Interchangeability of V and 7
61
Comparison of Theory with Experiment 47 Froudes Experiments 48 Froudes Experimentscontinued Roughened Surfaces 49 Dines Experiments 50 ...
66
Characteristic Curve Spherical Body
67
Physical Meaning of Change of Index
68
Changes in Index Valuecontinued 54 The Transition Stages of the Characteristic Curve
71
Some Difficulties of Theory
73
General Conclusions
74
CHAPTER III
76
Basis of Mathematical Investigation
77
Velocity Potential Function
81
Flux Function and interchangeable 62 Sources and Sinks
82
Connectivity
84
Cyclic Motion 65 Fluid Rotation Conservation of Rotation
86
Boundary Circulation the Measure of Rotation
87
Boundary Circulation Positive and Negative
88
Rotation Irregular Distribution Irrotation Definition 69 Rotation Mechanical Illustration 70 Irrotational Motion in its Relation to Velocity Potential
91
Physical Interpretation of Lagranges Proposition 72 A Case of Vortex Motion
92
Irrotational Motion Fundamental or Elementary Forms Compound ing by Superposition 74 The Method of Superposed Systems of Flow
95
Lines for Source and Sink System
97
Source and Sink Superposed Translation 77 Rankines Waterlines 78 Solids Equivalent to Source and Sink Distribution
100
Typical Cases constituting Solutions to the Equations of Motion
103
Consequences of inverting Y Functions in Special Cases Force a right angles to Motion
106
Kinetic Energy
107
Pressure Distribution Fluid Tension as Hypothesis
108
Application of the Theorem of Energy
109
Cyclic Superposition
111
Two opposite Cyclic Motions on Translation
112
Numerical Illustration
113
Fluid Pressure on a Body in Motion
114
Cases fall into Three Categories
115
Transverse Force Dependent on Cyclic Motion Proof
116
Difficulty in the case of the Perfect Fluid 92 93 94 Superposed Rotation
118
Vortex Motion
120
Discontinuous Flow 95 Efflux of Liquids
123
The Borda Nozzle
124
Discontinuous Flow Pressure on a Normal Plane
126
Deficiencies of the Eulerian Theory of the Perfect Fluid
127
The Doctrine of Discontinuity attacked by Kelvin
129
Kelvins Objections Discussed
130
Discussion on Controversycontinued
131
The Position Summarised
132
The Authors View
133
Discontinuity in a Viscous Fluid
136
Conclusions from Dimensional Theory
137
CHAPTER IV
139
Historical
140
Dynamic Support
143
In the Region of a Falling Plane Upcurrent
145
Dynamic Support Reconsidered
146
Aerodynamic Support
147
Aerodynamic Supportcontinued Field of Force 114 Flight with an Evanescent Load
150
Aeroplane of Infinite Lateral Extent
152
Interpretation of Theory of Aeroplane of Infinite Lateral Extent
155
Departure from Hypothesis
156
On the Sectional Form of the Aerofoil
158
Aspect Ratio 120 On Planformcontinued Form of Extremities
160
Hydrodynamic Interpretation and Development
162
Peripteroid Motion 123 Energy in the Periptery
166
Modified Systems
171
Peripteroid Motion in a Simplyconnected Region
172
Peripteral Motion in a Real Fluid 127 Peripteral Motion in a Real Fluidcontinued
175
CHAPTER V
179
Historical
180
The Normal Plane Law of Pressure
181
Wind Pressure Determinations
182
Still Air Determinations
183
Quantitative Data of the Normal Plane
184
Resistance a Function of Density
185
Perforated Plates
197
CHAPTER VI
200
The Sine2 Law of Newton
201
The Sine Law not in Harmony with Experience 147 The Square Plane
203
Centre of Pressure
205
Plausibility of the Sine² Law 150 The Sine Law Applicable in a Particular Case 151 Planes in Apteroid Aspect Experimental
208
The Infinite Lamina in Pterygoid Aspect 153 Planes in Pterygoid Aspect Experimental
213
Superposed Planes
214
The Centre of Pressure as affected by Aspect
217
Resolution of Forces
218
The Coefficient of Skin Friction
221
Edge Resistance in its Relation to Skin Friction
222
Planes at Small Angles
223
The Newtonian Theory Modified The Hypothesis of Constant
226
Sweep Extension of Hypothesis
229
The Ballasted Aeroplane
232
CHAPTER VII
234
Examination of Hypothesis
236
Velocity and Area both Variable
238
The Gliding Angle as affected by Body Resistance
240
Relation of Velocity of Design to Velocity of Least Energy
241
Influence of Viscosity 170 The Weight as a Function of the Sail Area
243
The Complete Equation of Least Resistance
245
CHAPTER VIII
248
The Pterygoid Aerofoil Best Value of
249
Gliding Angle 175 Taking Account of Body Resistance
252
Values of B and for Least Horse Power 177 The Values of the Constants
255
On the Constants κ and e
257
An Auxiliary Hypothesis
258
K and Plausible Values
260
Best Values of B Least Values of y 182 The Aeroplane Anomalous Value of
264
Aeroplane Skin Friction Further Investigation 184 Some Consequences of the Foregoing Aeroplane Theory
268
The Weight per Unit Area as related to the Best Value of
269
Aeroplane Loads for Least Resistance
270
Comparison with Actual Measurements
274
Considerations relating to the Form of the Aerofoil
275
The Hydrodynamic Standpoint
278
Discontinuous Motion in the Periptery
279
Sectional Form
281
A Standard of Form
282
On the Measurement of Sail Area
284
The Weight of the Aerofoil as influencing the Conditions of Least Resistance
285
A Numerical Example
287
The Relative Importance of Aerofoil Weight
288
CHAPTER IX
290
Propulsion in its Relation to the Body Propelled
292
A Hypothetical Study in Propulsion
293
Propulsion under Actual Conditions
295
The Screw Propeller
296
Conditions of Maximum Efficiency
297
Efficiency of the Screw Propeller General Solution
298
The Propeller Blade Considered as the Sum of its Elements
300
Efficiency Computed over the Whole Blade
301
Pressure Distribution
304
208 Load Grading 209 Linear Grading and Blade Plan Form
306
The Peripteral Zone
307
Number of Blades
309
Blade Length Conjugate Limits
312
The Thrust Grading Curve
315
On the Marine Propeller
316
The Marine Propellercontinued Cavitation
317
The Influence of the Frictional Wake
321
The Hydrodynamic Standpoint Superposed Cyclic Systems
322
On the Design of an Aerial Propeller
324
Power Expended in Flight
331
Power Expended in Flightcontinued
332
CHAPTER X
335
Early InvestigationsHutton Vince
336
Dines Experiments Method 224 Dines Method Mathematical Expression
339
Dines Methodcontinued
340
Dines Results Direct Resistance
341
Dines Experimentscontinued Aeroplane Investigations
343
Dines Aeroplane Experimentscontinued 229 Dines Experiments Discussed
346
Langleys Experiments Method
347
Langleys Experiments The Suspended Plane
348
Langleys Experiments
351
Langleys Experiments 234 Langleys Experiments
356
Langleys Experiments 236 Langleys Experiments
364
Langleys Experiments 238 Langleys Experiments Summary
365
The Authors Experiments Introductory
366
Scope of Experiments The Resultant Pressure Recorder The Plane Dropper The Component Pressure Recorder The Dynamometer Chronograph T...
367
Authors Experiments Method
368
Authors Experiments Methodcontinued
371
Method of Added Surface
373
Method of Total Surface
376
Method of the Ballasted Aeroplane
382
Determination of by the Aerodynamic Balance
387
Authors Experiments Summary
391
GLOSSARY
393
APPENDICES INDEX

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