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The hydrodynamic interactions between two spheres in a Brinkman medium

Published online by Cambridge University Press:  20 April 2006

Sangtae Kim  and
William B. Russel
Sangtae Kim
Affiliation:
Department of Chemical Engineering, Princeton University. NJ 08544 Present address: Department of Chemical Engineering and Mathematics Research Center, University of Wisconsin, Madison, WI 53706.
William B. Russel
Affiliation:
Department of Chemical Engineering, Princeton University. NJ 08544
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Abstract

The hydrodynamic interaction between two spheres in a Brinkman medium has been calculated using both the method of reflections and the boundary collocation technique. In particular, calculation of the forces and dipoles for two spheres in a uniform stream and linear field show that the method of reflections converges more rapidly than in the Stokes case, owing to screening of interactions, and that the boundary collocation technique produces accurate solutions at almost all separations (except touching) with relatively few collocation points.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 253 - 268
Copyright
© 1985 Cambridge University Press

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