Creeping flow of micropolar fluid through a swarm of cylindrical cells with porous layer (membrane)

Abstract

The flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique is considered. The flow is directed perpendicular to the axis of the cylinders. Boundary value problem involves traditional conditions of velocities and stresses continuity, no-stress and no-couple stress/no-spin condition on hypothetical cell surface. The problem is solved analytically and the influence of micropolar and porous medium parameters on hydrodynamic permeability of a membrane is investigated.