Slip effect on three dimensional MHD flow of viscous fluid along an infinite plane with periodic suction

This paper deals with the analysis of slip effect on laminar magneto hydrodynamic (MHD) flow of incompressible viscous fluid past an infinite porous plate subjected to slightly sinusoidal transverse suction velocity distribution. A uniform magnetic field normal to the plate is applied. The suction velocity distribution consisting of basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem becomes three-dimensional because of variation of suction velocity in transverse direction at the wall. The mathematical analysis is presented for magnetic boundary layer flow without taking into account the induced magnetic field. Series solution of the differential equations for velocity field, and pressure is obtained by employing perturbation method. The results obtained for main flow velocity components are discussed and analyzed through graphs. It is found that velocity component in the direction of main flow increases with increasing of Hartmann number.