Finite Element Solution of MHD Transient Flow past an Impulsively Started Infinite Horizontal Porous Plate in a Rotating Fluid with Hall Current

Abstract

The problem of a transient three dimensional MHD flow of an electrically conducting viscous incompressible rotating fluid past an impulsively started infinite horizontal porous plate taking into account the Hall current is presented. It is assumed that the fluid rotates with a constant angular velocity about the normal to the plate and a uniform magnetic field applied along the normal to the plate and directed into the fluid region. The magnetic Reynolds number is assumed to be so small that the induced magnetic field can be neglected. The non-dimensional equations governing the flow are solved by Galerkin finite element method. The expressions for the primary and secondary velocity fields are obtained in non-dimensional form. The effects of the physical parameters like M (Hartmann number), (Rotation parameter) and m (Hall parameter) on these fields are discussed through graphs and results are physically interpreted.