Mathematical Theory of Compressible Fluid Flow

Richard Von Mises

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English

Dover Publications Inc.
10 November 2004

Mathematics & Sciences; Engineering: general

Series: Dover Civil and Mechanical Engineering

A pioneer in the fields of statistics and probability theory, Richard von Mises (1883-1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students - as well as a reference for professionals - Mathematical Theory of Compressible Fluid Flow examines the fundamentals of high-speed flows, with detailed considerations of general theorems, conservation equations, waves, shocks, and nonisentropic flows.

In this, the final work of his distinguished career, von Mises summarizes his extensive knowledge of a central branch of fluid mechanics. Characteristically, he pays particular attention to the basics, both conceptual and mathematical. The novel concept of a specifying equation clarifies the role of thermodynamics in the mechanics of compressible fluids. The general theory of characteristics receives a remarkably complete and simple treatment, with detailed applications, and the theory of shocks as asymptotic phenomena appears within the context of rational mechanics.

By: Richard Von Mises
Imprint: Dover Publications Inc.
Country of Publication: United States
Dimensions: Height: 214mm, Width: 135mm, Spine: 26mm
Weight: 550g
ISBN: 9780486439419
ISBN 10: 0486439410
Series: Dover Civil and Mechanical Engineering
Pages: 528
Publication Date: 10 November 2004
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified

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