TITLE

Dynamics of bubble clusters

AUTHOR(S)
Nigmatulin, R. I.; Akhatov, I. Sh.; Vakhitova, N. K.; Nasibullayeva, E. Sh.
PUB. DATE
July 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 524 Issue 1, p455
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A mathematical model which describes the behaviour of a gas bubble cluster in an external acoustic field is presented. According to this model the bubbles of different ambient radii are assumed to be submerged into a spherical liquid volume. The boundary of this volume is considered as a cluster's boundary. This model includes a set of coupled Rayleigh-type equations for bubble radii and cluster radius. The dynamics of a single bubble cluster excited by external periodic pressure is considered. The problem has been solved numerically under the assumption of spherically-symmetric oscillations of bubbles and the cluster's boundary. A synchronization phenomenon has been found; namely, the numerical results have shown that bubbles of different initial radii in a cluster collapse in phase. Moreover, it has been noted that at some parameter values such a synchronization may lead to the intensification of bubble collapse.
ACCESSION #
5665237

 

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