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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. Investigation of the applicability domains of the bubble cluster mathematical model Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 8 (2011). 65–73.
2011. Vol. 8. Issue 1, Pp. 65–73
URL: http://proc.uimech.org/uim2011.1.006,en
DOI: 10.21662/uim2011.1.006
Investigation of the applicability domains of the bubble cluster mathematical model
Nasibullaeva E.Sh.∗,∗∗, Akhatov I.Sh.∗∗,∗∗∗
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, Fargo

Abstract

The mathematical model of a bubble cluster subjected to an acoustic field is investigated. In this model the cluster is considered as a large drop containing a liquid and a set of microbubbles. Areas of applicability of the mathematical model of the bubble cluster in the parameter space (α, R0) are constructed, where α is the bubble concentration in the cluster; R0 is the initial radius of the cluster.