Dynamics of bubble clusters
作者:
R. I. Nigmatulin,
I. Sh. Akhatov,
N. K. Vakhitova,
E. Sh. Nasibullayeva,
期刊:
AIP Conference Proceedings
(AIP Available online 1900)
卷期:
Volume 524,
issue 1
页码: 455-458
ISSN:0094-243X
年代: 1900
DOI:10.1063/1.1309263
出版商: AIP
数据来源: AIP
摘要:
A mathematical model which describes the behavior 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. ©2000 American Institute of Physics.
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