Mathematical Theory of Compressible Fluid Flow (eBook)

Richard Von Mises (Autor)

eBook Download: EPUB

2013
Dover Publications (Verlag)
978-0-486-17421-1 (ISBN)

Infos

Suitable for advanced undergraduate and graduate students, this text covers general theorems, conservation equations, waves, shocks, and nonisentropic flows, with emphasis on the basics, both conceptual and mathematical. 1958 edition.

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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.

Inhalt

PrefaceI. 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 LinesII. 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 VariablesIII. 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 ProblemsIV. 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 MethodV. Integration Theory and Shocks 21. Development of Chaplygin’s Method 22. Shock Theory 23. Examples Involving Shocks 24. Nonisentropic Flow 25. Transonic FlowNotes and AddendaSelected Reference BooksAuthor and Subject Indexes

Produkt-Details

• Erscheint lt. Verlag: 21.2.2013
• Reihe/Serie: Dover Civil and Mechanical Engineering
• Sprache: englisch
• Gewicht: 540 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 0-486-17421-2 / 0486174212
• ISBN-13: 978-0-486-17421-1 / 9780486174211