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Darcy's law for slow viscous flow past a stationary array of bubbles

Published online by Cambridge University Press:  14 November 2011

Robert Lipton  and
Marco Avellaneda
Robert Lipton
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, U.S.A.
Marco Avellaneda
Affiliation:
Courant Institute of Mathematical Sciences, New York, NY 10012, U.S.A.
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Synopsis

We examine slow viscous flow past a concentrated bed of small stationary viscous bubbles of a second fluid, and derive Darcy's law relating the average fluid velocity to the overall pressure gradient and body force.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 1-2 , 1990 , pp. 71 - 79
Copyright
Copyright © Royal Society of Edinburgh 1990

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