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Stokes flow through periodic arrays of spheres

Published online by Cambridge University Press:  20 April 2006

A. A. Zick  and
G. M. Homsy
A. A. Zick
Affiliation:
Department of Chemical Engineering, Stanford University, California 94305
G. M. Homsy
Affiliation:
Department of Chemical Engineering, Stanford University, California 94305
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Abstract

We treat the problem of slow flow through a periodic array of spheres. Our interest is in the drag force exerted on the array, and hence the permeability of such arrays. It is shown to be convenient to formulate the problem as a set of two-dimensional integral equations for the unknown surface stress vector, thus lowering the dimension of the problem. This set is solved numerically to obtain the drag as a function of particle concentration and packing characteristics. Results are given over the full concentration range for simple cubic, body-centred cubic and face-centred cubic arrays and these agree well with previous limited experimental, asymptotic and numerical results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 115 , February 1982 , pp. 13 - 26
Copyright
© 1982 Cambridge University Press

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