Mathematical Theory of Compressible Fluid Flow

Mathematical Theory of Compressible Fluid Flow

by Richard von Mises
Mathematical Theory of Compressible Fluid Flow

Mathematical Theory of Compressible Fluid Flow

by Richard von Mises

eBook

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Overview

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.


Product Details

ISBN-13: 9780486174211
Publisher: Dover Publications
Publication date: 02/21/2013
Series: Dover Civil and Mechanical Engineering
Sold by: Barnes & Noble
Format: eBook
Pages: 528
File size: 22 MB
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Table of Contents

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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