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A wave equation model for retrograde media with a bubble structure

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Abstract

A nonlinear wave equation is obtained for liquid-vapor mixtures with regard to arbitrary change of equilibrium sound speed in a mixture with growth and condensation of vapor bubbles, which has a limit transition to a wave equation for pure liquid at full collapse of vapor cavities. A particular case of a collapsing wave equation (CWE) of retrograde media is considered, e.g., liquid-vapor media with low vaporization heat and low dissipation, observed near the critical liquid-vapor point, where the main effect is variable sound speed. Based on the CWE numerical solutions it is shown that in such liquid-vapor media, one can observe previously unknown nonlinear wave structures with depression waves.

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 1, Novosibirsk, 630090, Russia

    V. G. Gasenko & V. E. Nakoryakov

Authors
  1. V. G. Gasenko
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  2. V. E. Nakoryakov
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Correspondence to V. G. Gasenko.

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Gasenko, V.G., Nakoryakov, V.E. A wave equation model for retrograde media with a bubble structure. J. Engin. Thermophys. 23, 264–269 (2014). https://doi.org/10.1134/S181023281404002X

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  • DOI: https://doi.org/10.1134/S181023281404002X

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