Theoretical Fluid Dynamics

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John Wiley & Sons, Jan 29, 1998 - Mathematics - 555 pages
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"Although there are many texts and monographs on fluid dynamics, I do not know of any which is as comprehensive as the present book. It surveys nearly the entire field of classical fluid dynamics in an advanced, compact, and clear manner, and discusses the various conceptual and analytical models of fluid flow." - Foundations of Physics on the first edition

Theoretical Fluid Dynamics functions equally well as a graduate-level text and a professional reference. Steering a middle course between the empiricism of engineering and the abstractions of pure mathematics, the author focuses on those ideas and formulations that will be of greatest interest to students and researchers in applied mathematics and theoretical physics. Dr. Shivamoggi covers the main branches of fluid dynamics, with particular emphasis on flows of incompressible fluids. Readers well versed in the physical and mathematical prerequisites will find enlightening discussions of many lesser-known areas of study in fluid dynamics.

This thoroughly revised, updated, and expanded Second Edition features coverage of recent developments in stability and turbulence, additional chapter-end exercises, relevant experimental information, and an abundance of new material on a wide range of topics, including:
* Hamiltonian formulation
* Nonlinear water waves and sound waves
* Stability of a fluid layer heated from below
* Equilibrium statistical mechanics of turbulence
* Two-dimensional turbulence
 

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Contents

Dynamics of Inviscid Incompressible Fluid Flows
27
Over a Localized Region
120
Dynamics of Inviscid Compressible Fluid Flows
213
Dynamics of Viscous Fluid Flows
315
Transformation
371
Hydrodynamic Stability
393
Dynamics of Turbulence
487
Bibliography
535
Subject Index
547
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About the author (1998)

BHIMSEN K. SHIVAMOGGI, PhD, is a professor in the Department of Mathematics at the University of Central Florida.

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