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Equations describing the propagation of nonlinear modulation waves in bubbly liquids

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Bubble Dynamics and Interface Phenomena

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 23))

Abstract

The equations describing the propagation of the planar one-dimensional modulation waves in monodisperse mixtures of an incompressible liquid and gas bubbles are derived. A small dissipation of the waves due to the heat conduction in the gas and the viscosity of the liquid is taken into account. A concept of the space of parameters of the non-linear oscillator describing the “fast” oscillations is introduced. The dissipation of the solitary wave is found. A comparison of some results of the present theory and known data of other authors is given.

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References

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© 1994 Springer Science+Business Media Dordrecht

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Gumerov, N.A. (1994). Equations describing the propagation of nonlinear modulation waves in bubbly liquids. In: Blake, J.R., Boulton-Stone, J.M., Thomas, N.H. (eds) Bubble Dynamics and Interface Phenomena. Fluid Mechanics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0938-3_12

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  • DOI: https://doi.org/10.1007/978-94-011-0938-3_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4404-2

  • Online ISBN: 978-94-011-0938-3

  • eBook Packages: Springer Book Archive

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