Theory of Nonlinear Acoustics in Fluids: 67 (Fluid Mechanics and Its Applications, 67) - Hardcover

Enflo, B.O.; Hedberg, C.M.

Hardcover

ISBN 10: 1402005725 ISBN 13: 9781402005725

Publisher: Springer, 2002

Synopsis

The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is ”Theoretical Foundations of Nonlinear Aco- tics” by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers’ equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers’ equation, travelling wave solutions of Bu- ers’ equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.

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Review

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)

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2002
• Language: English
• ISBN 10: 1402005725
• ISBN 13: 9781402005725
• Binding: Hardcover
• Number of pages: 295