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Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics





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Nasibullaeva E.Sh., Akhatov I.Sh. Modeling of oscillations of a bubble cluster in an acoustic field Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 4 (2006). 174–185.
2006. Vol. 4. Issue 1, Pp. 174–185
URL: http://proc.uimech.org/uim2006.1.016,en
DOI: 10.21662/uim2006.1.016
Modeling of oscillations of a bubble cluster in an acoustic field
Nasibullaeva E.Sh., Akhatov I.Sh.
Institute of Mechanics, Ufa

Abstract

A mathematical model describing the dynamics of nonlinear oscillations of gas bubbles in a cluster under the influence of an acoustic field is proposed. On the basis of this model, small bubble oscillations in a cluster were analyzed, the bubble oscillations in a monodisperse cluster were compared with the oscillations of a single bubble, the effects of the interaction of bubbles in a polydisperse cluster were studied, and the diffusion stability of bubbles in mono- and polydisperse clusters was investigated.

Keywords

bubble cluster,
mathematical model,
frequency of free oscillations,
synchronization,
diffusion stability