Three-Dimensional magnetohydrodynamics flow of upper convected Maxwell fluid along an infinite plane wall with periodic suction

An analysis of laminar magnetohydrodynamics (MHD) flow of an incompressible upper-convected Maxwell fluid past an infinite wall is carried out. A uniform magnetic field normal to the plate is applied. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem becomes three-dimensional flow problem because of variation of suction velocity in transverse direction on the wall. Series solutions of the differential equations for velocity field, skin friction and pressure are obtained by employing a perturbation technique. The results obtained for main flow velocity component and wall shear stresses in the main flow direction and perpendicular to it are discussed and analyzed through graphs and tables. It is found that velocity and wall shear stress components in the direction of main flow strongly depend on magnetic parameter whereas velocity and shear stress components transverse to the direction of main flow weekly dependent on magnetic parameter.