Journal of Fluid Mechanics

Stokes flow through periodic arrays of spheres

A. A.  Zick a1 and G. M.  Homsy a1
a1 Department of Chemical Engineering, Stanford University, California 94305

Article author query
zick aa   [Google Scholar] 
homsy gm   [Google Scholar] 


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.

(Received September 22 1980)
(Revised March 27 1981)