Numerical Investigation for Cell Modeling Of Hydro Magnetic Axial Flow over a Cylinder

In this paper we consider the filtration problem across a membrane composed of an aggregate of parallel circular cylinders wherein each cylinder is covered by a concentric porous shell and subject to a radial magnetic field. The cell model is applied so that system is taken as equivalent to a single cylinder encased in the porous shell and enclosed by a concentric cylindrical enveloping surface under axial flow of a conducting fluid subject to a radial magnetic field. Our aim is to evaluate the effect of magnetic field on permeability parameter. Bvp4c tool is used to solve the system of equations. The results are then graphically presented and discussed. The analysis reveals that permeability decreases with Hartmann number M for all values of gap and that increasing the gap increases the permeability for all values of M.