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Theory of Nonlinear Acoustics in Fluids
Responsible organisation
2002 (English)Book (Other academic)Alternative title
Teori för ickelinjär fluidakustik (Swedish)
Abstract [en]

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. See also http://www.wkap.nl/prod/b/1-4020-0572-5.

Abstract [sv]

Boken beskriver på ett enhetligt sätt ickelinjär akustik i gaser och vätskor (fluider) med lika stor vikt på matematik som fysik.

Place, publisher, year, edition, pages
Dordrecht: Kluwer , 2002. , 282 pages p.
Keyword [en]
acoustics, nonlinear waves, fluid mechanics, differential equations, shocks, time reversal
National Category
Mathematical Analysis Signal Processing Applied Mechanics
Identifiers
URN: urn:nbn:se:bth-9562Local ID: oai:bth.se:forskinfoC695462221D9C30BC1256C29003852C9ISBN: 1-4020-0572-5 (print)OAI: oai:DiVA.org:bth-9562DiVA: diva2:837440
Note
Kluwer http://www.wkap.nl/prod/b/1-4020-0572-5.Available from: 2012-09-18 Created: 2002-09-03 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf