Viscous Flow through Porous Media. III. Upper Bounds on the Permeability for a Simple Random Geometry
Harold L. Weissberg, Stephen Prager · The Physics of Fluids · 1970
The variational treatment developed previously is applied to a porous medium constructed of randomly overlapping spheres. Upper bounds on the permeability are obtained for flow both in the absence and in the presence of slip. In the limit of zero solid fraction, these bounds approach the exact permeability in each case.