Труды Института механики им. Р.Р. Мавлютова

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

ISSN 2542–0380
DOI 10.21662

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.