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Theory and Applications of Nonviscous Fluid Flows

  • Book
  • © 2002

Overview

Authors:
  1. Radyadour Kh. Zeytounian

    1. Paris, France

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  • This book fills a gap between the difficult to understand mathematical literature and the vast literature on computational aspects of fluid dynamics
  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Radyadour Kh. Zeytounian
    Pages 1-10

  3. Fluid Dynamic Limits of the Boltzmann Equation

    • Radyadour Kh. Zeytounian
    Pages 11-23

  4. From Classical Continuum Theory to Euler Equations via N-S-F Equations

    • Radyadour Kh. Zeytounian
    Pages 25-35

  5. A Short Presentation of Asymptotic Methods and Modelling

    • Radyadour Kh. Zeytounian
    Pages 37-59

  6. Various Forms of Euler Equations and Some Hydro-Aerodynamics Problems

    • Radyadour Kh. Zeytounian
    Pages 61-129

  7. Atmospheric Flow Equations and Lee Waves

    • Radyadour Kh. Zeytounian
    Pages 131-170

  8. Low Mach Number Flow and Acoustics Equations

    • Radyadour Kh. Zeytounian
    Pages 171-184

  9. Turbo-Machinery Fluid Flow

    • Radyadour Kh. Zeytounian
    Pages 185-201

  10. Vortex Sheets and Shock Layer Phenomena

    • Radyadour Kh. Zeytounian
    Pages 203-230

  11. Rigorous Mathematical Results

    • Radyadour Kh. Zeytounian
    Pages 231-280

  12. Back Matter

    Pages 281-294
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Keywords

About this book

The purpose of this book is to present a broad panorama of model problems encountered in nonviscous Newtonian fluid flows. This is achieved by investigating the significant features of the solutions of the corresponding equations using the method of asymptotic analysis. The book thereby fills a long-standing gap in the literature by providing researchers working on applied topics in hydro-aerodynamics, acoustics and geophysical fluid flows with exact results, without having to invoke the complex mathematical apparatus necessary to obtain those insights. The benefit of this approach is two-fold: outlining the idea of the mathematical proofs involved suggests methodologies and algorithms for numerical computation, and also often gives useful information regarding the qualitative behaviour of the solutions. This book is aimed at researchers and students alike as it also provides all the necessary basic knowledge about fluid dynamics.

Reviews

From the reviews of the first edition:

"Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." (MATHEMATICAL REVIEWS, 2003g)

"[...] presents a broad panorama of model problems encountered in nonviscous Newtonian fluid flows." (International Aerospace Abstracts 42/3, 2002)

"This well-organized book can be recommended to students, teachers and researchers with an interest in asymptotic methods and rigorous foundations of nonviscous fluid mechanics." (Zentralblatt MATH, 992/17, 2002)

"This book touches on a number of topics in fluid mechanics at an advanced level. … I believe the book could be a welcome addition to the bookshelf of anyone working in theoretical fluid mechanics. It would also be a valuable supplemental text for a post-master course in fluid mechanics." (Anthony Leonard, Journal of Fluid Mechanics, Vol. 517, 2004)

Authors and Affiliations

  • Paris, France

    Radyadour Kh. Zeytounian

Bibliographic Information

  • Book Title: Theory and Applications of Nonviscous Fluid Flows

  • Authors: Radyadour Kh. Zeytounian

  • DOI: https://doi.org/10.1007/978-3-642-56215-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-41412-4Published: 20 November 2001

  • Softcover ISBN: 978-3-642-62551-0Published: 05 November 2012

  • eBook ISBN: 978-3-642-56215-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 295

  • Topics: Engineering Fluid Dynamics, Fluid- and Aerodynamics, Applications of Mathematics, Earth Sciences, general

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