Author(s): Richard von Mises, Kurt O. Friedrichs
Edition: 1
Year: 1971
Language: English
Pages: 353
Table of contents......Page 7
Preface......Page 6
Introduction......Page 10
1. Equations of motion......Page 12
2. Bernoulli equation......Page 20
3. Circulation......Page 22
4. Helmholtz' vortex theory......Page 25
5. Relation between vorticity and Bernoulli function......Page 32
6. Equation for vortex-free motion......Page 34
7. Momentum theorems for perfect fluid motion......Page 39
1. Steady motion of an incompressible fluid......Page 47
2. Steady, irrotational motion of an incompressible fluid......Page 53
3. Effect of uniform flow upon immersed bodies......Page 61
4. Circular cross-section and theorem of Joukowski......Page 76
5. Solution of the problem for a single wing profile......Page 86
a) The Joukowski profiles......Page 94
b) Karman-Trefftz profiles......Page 100
c) General profiles......Page 103
7. The direct problem-theory of thin wings......Page 107
a) Experimental verification of the lift formula......Page 123
b) Moment formula......Page 125
c) Compressible fluid......Page 127
1. Vortex lines and vortex sheets......Page 131
2. Horseshoe vortex lines and sheets......Page 150
3. Lanchester-Prandtl wing theory......Page 162
4. Airwlng of minimum drag......Page 170
5. General problem......Page 181
6. Formal solution of the integral equation......Page 187
7. Application of the theory to the biplane......Page 191
a) Plane Couette flow......Page 203
b) Plane Poiseuille flow......Page 205
2. Navier-Stokes equation......Page 208
3. Problems......Page 215
4. Similarity......Page 218
5. Small Reynolds number......Page 222
7. Flow in convergent and divergent channels......Page 235
8. Flow towards a plane plate......Page 245
9. The mathematical structure of the boundary layer problem......Page 253
10. Boundary layer equations......Page 258
11. Flow along a flat plate......Page 262
12. Displacement thickness - momentum equation......Page 270
13. Jets and wakes......Page 275
14. von Mises equations......Page 286
15. Curves walls and separation......Page 289
16. Instability of vortex motion......Page 294
1. Equations of motion for compressible fluids......Page 307
2. Introductory concepts of thermodynamics......Page 309
3. Steady flow in one-dimensional treatment......Page 312
4. Compression shocks......Page 316
5. Non-steady one-dimensional flow......Page 324
6. Two-dimensional, steady, adiabatic flow......Page 329
7. Nearly constant, parallel flow......Page 333
8. Flow in and around corners. Oblique shocks......Page 343
9. Non-adiabatic flow and boundary layer......Page 353
Index......Page 359
