Hydrodynamic permeability of the membrane as a system of rigid particles covered with porous layer (cell model)

Problem of uniform flow of viscous, incompressible liquid around a rigid particle covered with porous layer and located inside the spherical cell was solved at small Reynolds numbers. In order to describe the motion of liquid within porous layer, the Brinkman equations were used. Based on the Happel and Brenner cell method, the hydrodynamic permeability of the membrane consisting of the system of porous particles with rigid impermeable cores was calculated.