The aim of the present paper is to investigate flow of stratified incompressible viscous fluid between two semi-infinite parallel plates. The space between the parallel plates is filled partially with highly porous medium. The flow will be two phase flow, one in clear region and other in porous region Transverse magnetic field is applied in the both regions perpendicular to the length of the plates.The expressions for fluid velocities in both regions obtained sophisticatedly.The effects of permeability parameter and magnetic parameter on fluid velocities are investigated. The results are graphically represented.
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