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Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer

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Abstract

Nonlinear wave processes in a liquid containing gas bubbles are studied. The effects of viscosity and heat transfer on the phase interface are taken into account. A family of nonlinear evolutionary equations for describing pressure waves in a gas-liquid mixture is constructed. It is shown that, for describing nonlinear wave processes on different scales of the coordinate and time, nonlinear evolutionary equations of the second, third, and fourth order may be used. Exact solutions of the equations constructed are obtained. The specific features of nonlinear wave processes in a liquid with gas bubbles are discussed.

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Authors
  1. N. A. Kudryashov
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  2. D. I. Sinel’shchikov
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Additional information

Original Russian Text © N.A. Kudryashov, D.I. Sinel’shchikov, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 1, pp. 108–127.

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Kudryashov, N.A., Sinel’shchikov, D.I. Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Fluid Dyn 45, 96–112 (2010). https://doi.org/10.1134/S0015462810010114

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  • DOI: https://doi.org/10.1134/S0015462810010114

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