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.
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January 2011
February 02 2011
Liquid compressibility effects during the collapse of a single cavitating bubble Available to Purchase
D. Fuster;
D. Fuster
a)
Division of Engineering and Applied Science,
California Institute of Technology
, Pasadena, California 91125
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C. Dopazo;
C. Dopazo
Laboratorio de Investigacion en Tecnologias de la Combustion—Area de Mecanica de Fluidos, Centro Politecnico Superior, Universidad de Zaragoza
, C/Maria de Luna 3, 50018 Zaragoza, Spain
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G. Hauke
G. Hauke
Laboratorio de Investigacion en Tecnologias de la Combustion—Area de Mecanica de Fluidos, Centro Politecnico Superior, Universidad de Zaragoza
, C/Maria de Luna 3, 50018 Zaragoza, Spain
Search for other works by this author on:
D. Fuster
a)
Division of Engineering and Applied Science,
California Institute of Technology
, Pasadena, California 91125
C. Dopazo
Laboratorio de Investigacion en Tecnologias de la Combustion—Area de Mecanica de Fluidos, Centro Politecnico Superior, Universidad de Zaragoza
, C/Maria de Luna 3, 50018 Zaragoza, Spain
G. Hauke
Laboratorio de Investigacion en Tecnologias de la Combustion—Area de Mecanica de Fluidos, Centro Politecnico Superior, Universidad de Zaragoza
, C/Maria de Luna 3, 50018 Zaragoza, Spain
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
J. Acoust. Soc. Am. 129, 122–131 (2011)
Article history
Received:
December 23 2009
Accepted:
September 22 2010
Citation
D. Fuster, C. Dopazo, G. Hauke; Liquid compressibility effects during the collapse of a single cavitating bubble. J. Acoust. Soc. Am. 1 January 2011; 129 (1): 122–131. https://doi.org/10.1121/1.3502464
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