Theory of Nonlinear Acoustics in Fluids by B.O. EnfloTheory of Nonlinear Acoustics in Fluids by B.O. Enflo

Theory of Nonlinear Acoustics in Fluids

byB.O. Enflo, C.m. Hedberg

Paperback | March 14, 2012

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This book presents theoretical nonlinear acoustics in fluids with equal stress on physical foundations and mathematical methods. From first principles in fluid mechanics and thermodynamics a universal mathematical model (Kuznetsov's equation) of nonlinear acoustics is developed. This model is applied to problems such as nonlinear generation of higher harmonics and combination frequencies, the shockwave from a supersonic projectile, propagation of shocks in acoustic beams and nonlinear standing waves in resonators.Special for the book is the coherent account of nonlinear acoustic theory from a unified point of view and the detailed presentations of the mathematical techniques for solving the nonlinear acoustic model equations. The book differs from mathematical books on nonlinear wave equations by its stress on their origin in physical principles and their use for physical applications. It differs from books on applications of nonlinear acoustics by its ambition to explain all steps in mathematical derivations of physical results. It is useful for practicians and researchers in acoustics feeling the need for more theoretical understanding. It can be used as a textbook for graduate or advanced undergraduate students with an adequate background in physics and mathematical analysis, specializing in acoustics, mechanics or applied mathematics.
Title:Theory of Nonlinear Acoustics in FluidsFormat:PaperbackDimensions:295 pages, 9.25 × 6.1 × 0.07 inPublished:March 14, 2012Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048159989

ISBN - 13:9789048159987

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Table of Contents

Preface. 1. Introduction. 2. Physical theory of nonlinear acoustics. 3. Basic methods of nonlinear acoustics. 4. Nonlinear waves with zero and vanishing diffusion. 5. Nonlinear plane diffusive waves. 6. Nonlinear cylindrical and spherical diffusive waves. 7. Nonlinear bounded sound beams. 8. Nonlinear standing waves in closed tubes. 9. Name index. 10. Subject index.

Editorial Reviews

From the reviews:"The authors present an elegant study on theoretical nonlinear acoustics . . The nonlinear acoustic phenomena described in the book are chosen to give physically interesting illustrations of mathematical theory. . Special for this book is its coherent account of nonlinear acoustic theory from a unified point of view and detailed presentations of mathematical techniques . . It is useful for practitioners and researchers in acoustics . . It can also be used as a textbook for graduate or advanced undergraduate students . ." (Ömer Kavaklioglu, Zentralblatt MATH, Vol. 1049 (24), 2004)