ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


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Volkova E.V., Nasibullaeva E.Sh., Akhatov I.Sh. Analysis of the diffusion influence on the bubble dynamics in an acoustic field Proceedings of the Mavlyutov Institute of Mechanics. 9 (2012) 1. 53–58.
2012. Vol. 9. Issue 1, Pp. 53–58
URL: http://proc.uimech.org/uim2012.1.009,en
DOI: 10.21662/uim2012.1.009
Analysis of the diffusion influence on the bubble dynamics in an acoustic field
Volkova E.V.∗,∗∗, Nasibullaeva E.Sh., Akhatov I.Sh.∗∗,∗∗∗
Mavlyutov Institute of Mechanics, Ufa
∗∗Center for Micro and Nanoscale Dynamics of Dispersed Systems, Bashkir State University, Ufa
∗∗∗Department of Mechanical Engineering, North Dakota State University

Abstract

A diffusion problem for a spherically symmetric gas bubble in a liquid in an isotropic acoustic field is considered. The problem is solved both for a single bubble and for a bubble in a monodisperse cluster. A numerical method for solving the diffusion problem is developed. For the oscillating part of the diffusion problem the numerical experiments have been carried out for different amplitudes of the external pressure. A comparison is made between the calculation results obtained by the approximation theory and the numerical method presented. The effect of taking into account the mass change on the bubble dynamics is studied. For extensive parametric research the algorithm is paralleled and the parallelization efficiency is evaluated.