Flow Formation in Couette Motion in Magnetohydrodynamics with Suction

The formation of Couette flow between two parallel walls due to the impulsive and uniformly accelerated motion of one of the walls in an electrically conducting viscous, incompressible fluid is discussed at small magnetic Reynolds numbers. A uniform suction velocity is imposed on the walls. Expression for the skin friction coefficient is obtained in terms of two non-dimensional parameters the Hartmann number M and the suction parameter S . The skin friction is found to increase as M or S increases.