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Shock emission from collapsing gas bubbles

Published online by Cambridge University Press:  08 March 2010

S. J. SHAW  and
P. D. M. SPELT
S. J. SHAW
Affiliation:
Department of Chemical Engineering, Imperial College London SW7 2AZ, UK
P. D. M. SPELT*
Affiliation:
Department of Chemical Engineering, Imperial College London SW7 2AZ, UK
*
‡Email address for correspondence: p.spelt@imperial.ac.uk
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Abstract

The origin and the resultant properties of the strong pulses or shocks emitted by collapsing gas bubbles into a surrounding liquid are investigated numerically. The compressible flow in both phases is resolved. Results are presented for micron- and millimetre-sized bubbles and for bubble collapse triggered either by an acoustic driving or by an initially imposed spherical shock in the liquid. The origin of the diverging shocks is investigated, and the results of a parametric study for the acoustically driven collapse reveal a predominant linear dependence of the shock strength and width on the maximum bubble radius. The results compare favourably with experimental data and agree well with acoustic theory in the limit of weak forcing.

JFM classification

Drops and Bubbles: Cavitation Compressible Flows: Shock waves Drops and Bubbles: Bubble dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 646 , 10 March 2010 , pp. 363 - 373
Copyright
Copyright © Cambridge University Press 2010

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Footnotes

†

Present address: Xi'an Jiaotong-Liverpool University, 111 Ren Ai Road, Dushu Lake Higher Education Town, Suzhou, Jiangsu, 215123, China.

References

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Shaw and Spelt supplementary material

Movie 1. Shock wave formation after a 1mm radius air bubble collapses in water under atmospheric conditions due to the impact of an incoming 107Pa spherical shock wave in the surrounding liquid (corresponds to Fig.5).

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