Aerodynamic Theory: A General Review of Progress Under a Grant of the Guggenheim Fund for the Promotion of Aeronautics

Front Matter....Pages I-XV
Front Matter....Pages 1-1
Preface....Pages 1-1
The Complex Variable (x + iy)....Pages 1-15
Integration of Partial Derivative Expressions....Pages 15-17
Fourier Series....Pages 17-21
Theory of Dimensions....Pages 21-34
Vector Algebra: Two Dimensional Vectors....Pages 34-48
Vector Fields....Pages 48-64
Potential....Pages 65-76
Potential — Continued....Pages 76-81
Special Theorems....Pages 81-89
Conformal Transformation....Pages 89-104
Front Matter....Pages 105-105
Preface....Pages 105-105
Fundamental Equations....Pages 106-122
Plane Irrotational Flow....Pages 122-130
Vortex Flow....Pages 130-139
Combination Fields of Flow....Pages 139-154
Combination Fields of Flow Continued—Kutta-Joukowski Theorem....Pages 154-171
Application of Conformal Transformation to Fields of Flow....Pages 171-185
Particle Paths, Fields of Flow Relative to Axes Fixed in Fluid....Pages 185-195
Derivation of Potentials by Indirect Methods....Pages 196-204
Front Matter....Pages 105-105
Three-Dimensional Fields of Flow....Pages 204-216
Aerostatics: Structure of the Atmosphere....Pages 216-223
Front Matter....Pages 224-224
Preface....Pages 224-224
Kinematics of Fluids....Pages 224-237
Dynamics of Fluids....Pages 237-241
Motion of Solids in a Fluid....Pages 241-248
Sources and Vortices....Pages 248-260
Fluid Motion With Axial Symmetry....Pages 260-269
Lateral Motion of Surfaces of Revolution....Pages 269-276
Ellipsoids of Revolution....Pages 277-292
Ellipsoid With Three Unequal Axes....Pages 293-304
Front Matter....Pages 305-305
Preface....Pages 305-305
Period of Early Thought: From Antiquity to the End of the XVII Century....Pages 306-309
Period of Classic Hydrodynamics: From the End of the XVII Century to the End of the XIX Century....Pages 310-336
Period of Modern Aerodynamics: From the End of the XIX Century Onward....Pages 336-394
Back Matter....Pages 395-400