Magnetohydrodynamic steady incompressible fluid flow between two infinite parallel porous plate

Abstract

A highly magnetized steady incompressible fluid flowing between two infinite parallel porous plates under the influence of transverse magnetic field has been studied. The Euler's equation of motion ,the Navier - Stokes Equation coupled with magnetic forces of the fluid flow and Maxwell's equation formed a differential equation .This differential equation has been solved by method of Laplace transform where the boundary conditions have been transformed to initial conditions and analytical expression for fluid velocity has been obtained.A non dimensionless velocity 'I.b is made to ensure a steady fluid flow which is perpendicular to the fluid flow is flowing in the x axis direction. Here a constant pressure gradient has been considered ,the resultantdifferential equation solved by Laplace transform and expressed in terms ofHartmann number. Furtherrnore,we have drawn additional velocity profiles for hydromagnetic flow betweentwo parallel infinite plates for additional inclinations of ISO and 45° for additional values of Hartmann numbers 2.5 and 3.0