An-Najah Staff

An attempt is made to study the steady MHD plane aligned flow through porous media in the presence of a magnetic field. An alternative approach to the Riabouchinsky method is developed for this flow problem. The proposed method will reduce the number of arbitrary constants arising when using the Riabouchinsky method. Consequently, many of the restrictive assumptions used in assigning values to the arbitrary constants are no longer needed. The analytical solution of the compatibility equations are determined leading to the solution of the velocity components and the pressure distribution for this problem.

This article is concerned with the formulation and analytical solution of equations for modeling a steady two-dimensional MHD flow of an electrically conducting viscous incompressible fluid in porous media in the presence of a transverse magnetic field. The governing equations, namely, Navier-Stokes equations and the Darcy-Lapwood-Brinkman model are employed for the flow through the porous media. The solutions obtained for the Riabouchinsky-type flows are then classified into different types.