Hydrodynamic permeability of a membrane built up by spheroidal particles covered by porous layer

Abstract

This paper concerns the motion of a viscous steady incompressible fluid through a membrane, where the membrane is built up by impermeable spheroidal particles covered by a porous layer. In this work, we discuss the hydrodynamic permeability of a membrane built up by spheroidal particles. Cell model technique has been used to find the hydrodynamic permeability of the membrane. The emphasis is placed on the hydrodynamic permeability of the membrane and its controlling parameters like the permeability of the porous medium, particle volume fraction, deformation parameters, stress jump coefficient. The dependency of the hydrodynamic permeability of the membrane on the above controlling parameters is discussed graphically. Some previous results for hydrodynamic permeability and drag force are verified.