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Shock propagation in liquids containing bubbly clusters: a continuum approach

Published online by Cambridge University Press:  10 May 2012

H. Grandjean ,
N. Jacques  and
S. Zaleski
H. Grandjean*
Affiliation:
ENSTA Bretagne, EA 4325, Laboratoire Brestois de Mécanique et des Systèmes, Brest F-29200, France
N. Jacques
Affiliation:
ENSTA Bretagne, EA 4325, Laboratoire Brestois de Mécanique et des Systèmes, Brest F-29200, France
S. Zaleski
Affiliation:
University Paris 06 and CNRS, UMR 7190, Institut Jean le Rond d’Alembert, Paris F-75005, France
*
†Email address for correspondence: herve.grandjean@gmail.com
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Abstract

The present work investigates the influence of bubble clustering on the propagation of shock waves in bubbly liquids. A continuum model is developed to describe the macroscopic response of a bubbly liquid with a cluster structure, using a two-step homogenization technique. The proposed methodology allows us to simulate shock wave propagation over long distances with a small computation time and to study the effect of bubble clustering on the shock structure. It is shown that the typical length of the shock profile is related to the global response of the clusters instead of the single-bubble dynamics, as in homogeneous bubbly flows. The accuracy of the proposed modelling is assessed through comparisons with axisymmetric simulations, in which clusters are directly specified, with given positions and sizes, and with experimental data.

JFM classification

Drops and Bubbles: Bubble dynamics Multiphase and Particle-laden Flows: Gas/liquid flow Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 701 , 25 June 2012 , pp. 304 - 332
Copyright
Copyright © Cambridge University Press 2012

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