Stokes Flow Past a Swarm of Porous Spherical Particles with Stress Jump Condition

Abstract

This paper concerns the problem of slow viscous flow through a swarm of porous spherical particles. As boundary conditions, continuity of velocity, continuity of normal stress and stress-jump condition at the porous and fluid interface are employed. On the hypothetical cell surface, uniform velocity and Happel boundary conditions are used. The drag force experienced by each porous spherical particle in a cell is evaluated. The earlier results reported for the drag force experienced by a solid sphere in a cell by Happel1, and Qin and Kaloni2 for a porous sphere in unbounded medium have been then deduced. Representative results are presented in graphical form by using mathematica software and discussed. The effect of stress jump coefficient β is observed in all the cases.