Abstract:
This work deals with the creeping flow of an incompressible viscous fluid through a
membrane. It is assumed that the membrane is composed of nonhomogeneous porous cylindrical
particles with radially varying permeability enclosing a cavity. The flow within the nonhomogeneous
porous medium is governed by the Darcy equation. The flow inside the cavity and outside the
nonhomogeneous porous region is governed by the Stokes equations. An analytical solution of the
problem is obtained by using the cell model technique. Exact expressions for the drag force acting
on the membrane and hydrodynamic permeability of the membrane are derived. The influence of
radially varying permeability on flow parameters is considered. The effects of various parameters of
the problem on hydrodynamic permeability of the membrane are discussed for four models. Some
previous results for hydrodynamic permeability are verified as special limiting cases