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Modelling bubble clusters in compressible liquids

Published online by Cambridge University Press:  21 October 2011

D. Fuster  and
T. Colonius
D. Fuster*
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
T. Colonius
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
*
†Email address for correspondence: fuster@dalembert.upmc.fr
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Abstract

We present a new model for bubbly cavitating flows. Based on volume-averaged equations, a subgrid model is added to account for a bubble, or multiple bubbles, within each computational cell. The model converges to the solution of ensemble-averaged bubbly flow equations for weak oscillations and monodisperse systems. In the other extreme, it also converges to the theoretical solution for a single oscillating bubble, and captures the bubble radius evolution and the pressure disturbance induced in the liquid. A substantial saving of computational time is achieved compared to ensemble-averaged models for polydisperse mixtures.

JFM classification

Drops and Bubbles: Bubble dynamics Drops and Bubbles: Cavitation Multiphase and Particle-laden Flows: Multiphase flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 688 , 10 December 2011 , pp. 352 - 389
Copyright
Copyright © Cambridge University Press 2011

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Footnotes

‡

Present address: CNRS (UMR 7190), Université Pierre et Marie Curie, Institut Jean le Rond d’Alembert, France

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