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Liquid compressibility effects during the collapse of a single cavitating bubble

Fuster, D. and Dopazo, C. and Hauke, G. (2011) Liquid compressibility effects during the collapse of a single cavitating bubble. Journal of the Acoustical Society of America, 129 (1). pp. 122-131. ISSN 0001-4966. https://resolver.caltech.edu/CaltechAUTHORS:20110315-145305761

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Abstract

The effect of liquid compressibility on the dynamics of a single, spherical cavitating bubble is studied. While it is known that compressibility damps the amplitude of bubble rebounds, the extent to which this effect is accurately captured by weakly compressible versions of the Rayleigh–Plesset equation is unclear. To clarify this issue, partial differential equations governing conservation of mass, momentum, and energy are numerically solved both inside the bubble and in the surrounding compressible liquid. Radiated pressure waves originating at the unsteady bubble interface are directly captured. Results obtained with Rayleigh–Plesset type equations accounting for compressibility effects, proposed by Keller and Miksis [J. Acoust. Soc. Am. 68, 628–633 (1980)], Gilmore, and Tomita and Shima [Bull. JSME 20, 1453–1460 (1977)], are compared with those resulting from the full model. For strong collapses, the solution of the latter reveals that an important part of the energy concentrated during the collapse is used to generate an outgoing pressure wave. For the examples considered in this research, peak pressures are larger than those predicted by Rayleigh–Plesset type equations, whereas the amplitudes of the rebounds are smaller.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1121/1.3502464DOIUNSPECIFIED
Additional Information:© 2011 Acoustical Society of America. Received 23 December 2009; revised 17 September 2010; accepted 22 September 2010. The authors would like to acknowledge the comments and suggestions of Jean-Louis Thomas and Tim Colonius on a previous version of this manuscript. This work is a part of the Ph.D. dissertation of D. Fuster and has been partially supported by Ministerio de Ciencia y Tecnologia of Spain, under Grant No. CTM2004-061 84-C02-02.
Funders:
Funding AgencyGrant Number
Ministerio de Ciencia y Tecnologia of Spain CTM2004-061 84-C02-02
Subject Keywords:bubbles, cavitation, compressibility, nonlinear acoustics, partial differential equations, ultrasonics
Issue or Number:1
Classification Code:PACS: 43.35.Ei; 43.25.Yw; 43.35.Hl; 43.25.Gf
Record Number:CaltechAUTHORS:20110315-145305761
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110315-145305761
Official Citation:Liquid compressibility effects during the collapse of a single cavitating bubble D. Fuster, C. Dopazo, and G. Hauke, J. Acoust. Soc. Am. 129, 122 (2011), DOI:10.1121/1.3502464
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22909
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Mar 2011 18:09
Last Modified:03 Oct 2019 02:41

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