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Mathematical Theory of Compressible Fluid Flow
by Richard von Mises

ISBN: 0486439410
Dover Publications Price: $29.95
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Suitable for advanced undergraduate and graduate students, this text offers detailed considerations of general theorems, conservation equations, waves, shocks, and nonisentropic flows, with emphasis on the basics, both conceptual and mathematical. The general theory of characteristics receives a remarkably complete and simple treatment, with detailed applications. 175 figures. 1958 edition.


Table of Contents for Mathematical Theory of Compressible Fluid Flow
Preface
I. Introduction
1. The Three Basic Equations
2. Energy Equation. Bernoulli Equation
3. Influence of Viscosity. Heat Conduction
4. Sound Velocity. Wave Equation
5. Subsonic and Supersonic Motion. Mach Number, Mach Lines
II. General Theorems
6. Vortex Theory of Helmholtz and Kelvin
7. Irrotational Motion
8. Steady Flow Relations
9. Theory of Characteristics
10. The Characteristics in the Case of Two Independent Variables
III. One-Dimensional Flow
11. Steady Flow with Viscosity and Heat Conduction
12. Nonsteady Flow of an Ideal Fluid
13. Simple Waves. Examples
14. Theory of Shock Phenomena
15. Further Shock Problems
IV. Plane Steady Potential Flow
16. Basic Relations
17. Further Discussion of the Hodograph Method
18. Simple Waves
19. Limit Lines and Branch Lines
20. Chaplygin’s Hodograph Method
V. Integration Theory and Shocks
21. Development of Chaplygin’s Method
22. Shock Theory
23. Examples Involving Shocks
24. Nonisentropic Flow
25. Transonic Flow
Notes and Addenda
Selected Reference Books
Author and Subject Indexes

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