Shape stability of unsteadily translating bubbles

In this paper the problem of shape stability is considered, for a bubble with time-dependent radius, translating unsteadily in a flow. This situation can be brought about, for example, by forcing with an acoustic traveling wave. The equation governing translation was derived in a previous work [Redd...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 14; no. 7; pp. 2216 - 2224
Main Authors Reddy, Anil J., Szeri, Andrew J.
Format Journal Article
LanguageEnglish
Published 01.07.2002
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Summary:In this paper the problem of shape stability is considered, for a bubble with time-dependent radius, translating unsteadily in a flow. This situation can be brought about, for example, by forcing with an acoustic traveling wave. The equation governing translation was derived in a previous work [Reddy and Szeri (unpublished)]. Here, the equations governing the amplitudes of shape modes are derived using domain perturbation theory, following a classical paper by Plesset. Contrary perhaps to intuition, results show that driving at the natural frequency of volume oscillations is not necessarily the ideal forcing to engender a shape instability. Moreover, severe radial oscillations can have a stabilizing effect on shape oscillations. The results suggest the possibility of destroying bubbles selectively by size.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.1483840