axisymmetric stokes flow past a swarm of porous cylindrical shells

The problem of an axisymmetric stokes flow for an incompressible viscous fluid past a swarm of porouscylindrical shells with four known boundary conditions as happel’s, kuwabara’s, kvashnin’s andcunningham/mehta-morse’s is tackled. the brinkman equation is taken for fluid flow through the porousregion and the stokes equation for fluid region in their stream function formulation are used. drag forceexperienced by the porous cylindrical shell within a cell is evaluated. the hydrodynamic permeability of themembrane built by the porous particles is also investigated. for different values of parameters, the variation of drag force and the hydrodynamic permeability are presented graphically and discussed.