ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics


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Aganin A.A., Guseva Т.S., Khalitova Т.F. Modeling the evolution of small distortions of the sphericity of a collapsing bubble Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 5 (2007). 60–65.
2007. Vol. 5. Issue 1, Pp. 60–65
URL: http://proc.uimech.org/uim2007.1.002
DOI: 10.21662/uim2007.1.002
Modeling the evolution of small distortions of the sphericity of a collapsing bubble
Aganin A.A., Guseva Т.S., Khalitova Т.F.
Institute of Mechanics and Engineering, Kazan

Abstract

Results of calculating the evolution of small axisymmetric distortions of the spherical shape of a bubble during its collapse are presented. The full model based on two-dimensional gas dynamics equations (gas and liquid are considered inviscid non-heat-conducting) and a number of simplified models are used. The latter are obtained from the full model by splitting the gas and liquid motion into a spherical component and its small non-spherical perturbation. The differences of the simplified models are defined by the assumptions used in the realization of the splitting.

Keywords

non-spherical compression of a bubble,
equations of gas dynamics