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Nonlinear Acoustic of Bubbly Liquids

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Nonlinear Waves in Real Fluids

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 315))

Abstract

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.

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References

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© 1991 Springer-Verlag Wien

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Crighton, D.G. (1991). Nonlinear Acoustic of Bubbly Liquids. In: Kluwick, A. (eds) Nonlinear Waves in Real Fluids. International Centre for Mechanical Sciences, vol 315. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2608-0_2

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  • DOI: https://doi.org/10.1007/978-3-7091-2608-0_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82277-7

  • Online ISBN: 978-3-7091-2608-0

  • eBook Packages: Springer Book Archive

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