Magnetohydrodynamic Viscous Oscillatory Stratified Flow in a Vertical Narrow Channel with a Porous Wall

In this paper we consider Magnetohydrodynamic viscous oscillatory fully developed flow of stratified fluid in a long vertical narrow rectangular channel with one side being pervious and the other side being impervious. By applying Lubrication approximation and similarity transformation, closed form solutions are obtained. The graphical interpretations of the effects of various parameters related to the problem on transverse and axial velocity profiles are illustrated in detail. The outcome of the investigation reveals that the stratification effects reverse the flow near the center of the channel while magnetohydrodynamic effects make the flow linear closer to the plates. The results obtained give a significant measure to control the flow with the effects of various parameters involved.