Nonlinear Acoustic of Bubbly Liquids

  • D. G. Crighton
Part of the International Centre for Mechanical Sciences book series (CISM, volume 315)


This chapter deals with the propagation of nonlinear acoustic waves in dilute suspensions of air bubbles in water. It begins with a discussion of the dependence of the sound speed on bubble volume concentration and on frequency, and of the Rayleigh equation for the oscillations of an isolated bubble. Then the Korteweg-de Vries and Nonlinear Klein-Gordon equations are derived for nonlinear waves at low and at high frequency, respectively, and typical features of solutions of these equations are outlined.


Nonlinear Wave Sound Speed Rayleigh Equation Bubbly Liquid Oscillatory Shock 
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Copyright information

© Springer-Verlag Wien 1991

Authors and Affiliations

  • D. G. Crighton
    • 1
  1. 1.University of CambridgeCambridgeUK

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