MHD three-dimensional Couette flow with transpiration cooling

An analysis of the Couette flow between two horizontal parallel porous flat plates of an electrically conducting, viscous, incompressible fluid is pre sented. The stationary plate is subjected to a transverse sinusoidal inject ion of the fluid and its corresponding removal by constant suction through the other plate in uniform motion. The flow becomes three-dimensional due t o such an injection velocity. A magnetic field of uniform strength is also applied normal to the planes of the plates. The effects of the injection/su ction velocity and the magnetic field on the flow field, skin friction, and heat transfer are reported.