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Shape stability and violent collapse of microbubbles in acoustic travelling waves

Michael L. Calvisi 1Olgert Lindau 2John R. Blake 3Andrew J. Szeri 1

1. University of California, Berkeley, CA 94720, United States
2. SAP, Neurottstr. 16, Walldorf 69190, Germany
3. The University of Birmingham, School of Mathematics, Edgbaston B152TT, United Kingdom

Abstract

Acoustically driven bubbles can develop shape instabilities. If forced sufficiently hard, the bubbles distort greatly and break up. Perturbation theory provides some insight as to how these nonspherical shape modes grow initially but loses validity for large deformations. To validate the perturbation theory, we use a numerical model capable of simulating nonspherical, axisymmetric bubbles subject to acoustic driving. The results show that the perturbation theory compares well with numerical simulations in predicting bubble breakup and stability. Thereafter, we compare the peak temperatures and pressures of spherical to nonspherical bubble collapses by forcing them with standing waves and traveling waves, respectively. This comparison is made in parameter ranges of relevance to both single bubble sonoluminescence (SBSL) and multi-bubble sonoluminescence (MBSL) or sonochemistry. At moderate forcing, spherical and nonspherical collapses achieve similar peak temperatures and pressures but, as the forcing is increased, spherical collapses become much more intense. The reduced temperatures of nonspherical collapses at high forcing are due to residual kinetic energy of the liquid jet that pierces the bubble near the time of minimum volume. This is clarified by a calculation of the (gas) thermal equivalent of this liquid kinetic energy.

 

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Related papers

Presentation: Poster at COST action D32 Mid term evaluation meeting, by Andrew J. Szeri
See On-line Journal of COST action D32 Mid term evaluation meeting

Submitted: 2006-04-04 20:59
Revised:   2009-06-07 00:44