The Effect of Permeability on the Slow Motion of a Porous Sphere in a Viscous Liquid

Publisher Website
Google Scholar
Abstract
A technique is suggested by which the effects of permeable materials on the low Reynolds number flow of viscous liquids may be evaluated. In particular, we show that Darcy's law and the asymptotic equations (Re O) of Stokes may be used to formulate boundary value problems generating solutions valid for both porous and non‐porous regions and matched at common boundaries.The coupled problem of the streaming of a viscous liquid past a permeable sphere is considered and closed solutions which depend simply on the permeability on the sphere are derived. The drag on a permeable sphere is shown to be the same as the drag on an impermeable sphere of reduced radius.

This publication has 3 references indexed in Scilit: