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On Waves of the Self-Induced Acoustic Transparency in Mixtures of Liquid and Vapor Bubbles

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IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 31))

Abstract

A theory predicting spatial and temporal changing of the average parameters of mixtures consisting of liquid and vapor bubbles under sound waves is developed. Equations describing a self-action of sound waves in such mixtures are derived. An integrability of these essentially non-linear equations is shown both for mono- and polydisperse mixtures. The waves of the self-induced transparency/non-transparency are simulated numerically. Some physical effects are found and discussed.

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References

  • Akulichev, V.A., Alekseev, V.I. & Bulanov, V.A. 1986 Periodical Phase Transformations in Liquids. Moscow: Nauka.

    Google Scholar 

  • Gumerov, N.A. 1991 On weakly non-linear oscillations of a vapour bubble radius in an acoustic field. Prikladnaya Matematika i Mekhanika, 55, 2, 256–263.

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  • Gumerov, N.A. 1992 On the propagation of finite-amplitude long waves in polydisperse mixtures of liquid and gas bubbles. Zh. Prikladnoy Mekhaniki i Tekhnicheskoy Fiziki, 1, 88–95.

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  • Ishii, R. & Matsuhisa, H. 1983 Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas. J. FluidMech., 130, 259–277.

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  • Nigmatulin, R.I. 1987 Dynamics of Multiphase Media. Moscow: Nauka.

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© 1995 Springer Science+Business Media Dordrecht

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Gumerov, N.A. (1995). On Waves of the Self-Induced Acoustic Transparency in Mixtures of Liquid and Vapor Bubbles. In: Morioka, S., Van Wijngaarden, L. (eds) IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems. Fluid Mechanics and its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0057-1_6

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  • DOI: https://doi.org/10.1007/978-94-011-0057-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4030-3

  • Online ISBN: 978-94-011-0057-1

  • eBook Packages: Springer Book Archive

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