Pulsating flow of a hydromagnetic fluid between permeable beds

An investigation is made on the pulsating flow of a hydromagnetic fluid between two permeable beds. The fluid is injected in to the channel from the lower permeable bed with a velocity and is sucked out in to the upper permeable bed with the same velocity with subjection to an imposition of a uniform magnetic field in a direction normal to the flow. The flow between the permeable beds is governed by Navier–Stokes equations and the flow through the permeable beds is governed by Darcyʹs Law. Analytical expressions for the velocity field and volume flux are obtained. The effects of magnetic field on the velocity fields are calculated numerically for different values of the parameter. The numerical results obtained are presented graphically. It is interesting to note that the velocity can attain its maximum even at the lower permeable bed in the case of some specific choice of parameters. When the Hartmann number M tends to zero, the results agree with those of Vajravelu et al. [K. Vajravelu, K. Ramesh, S. Sreenadh, P.V. Arunachalam, Pulsatile flow between permeable beds, Int. J. Non-Linear Mech. 38 (2003) 999–1005].