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Wave propagation in bubbly liquids at finite volume fraction

Published online by Cambridge University Press:  20 April 2006

Russel E. Caflisch ,
Michael J. Miksis ,
George C. Papanicolaou  and
Lu Ting
Russel E. Caflisch
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012
Michael J. Miksis
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012 Present address: Department of Mathematics, Duke University, Durham, N.C. 27706.
George C. Papanicolaou
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012
Lu Ting
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012
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Abstract

We derive effective equations for wave propagation in a bubbly liquid in a linearized low-frequency regime by a multiple-scale method. The effective equations are valid for finite volume fraction. For periodic bubble configurations, effective equations uniformly valid for small volume fraction are obtained. We compare the results to the ones obtained in a previous paper (Caflisch et al. 1985) for a nonlinear theory at small volume fraction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 160 , November 1985 , pp. 1 - 14
Copyright
© 1985 Cambridge University Press

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