Magnetohydrodynamic couple stress fluid flow through a porous medium in a rotating channel

Abstract

In this paper, the problem of transient hydromagnetic flow of an electrically conducting couple stress fluid in a rotating frame of reference through a saturated porous channel under the influence of pulsatile pressure gradient is presented. The novelty of the proposed work is to analyze the effect of couple stress as well as the case of steady and pulsatile pressure gradient on a flow through a porous saturated rotating channel. Further, the discussion on steady and pulsatile pressure gradient has made the study interesting. It is noteworthy to remark that the presence of pulsatile pressure gradient has rendered the secondary flow to be positive where as in case of steady pressure gradient it is all through negative for all cases. Further, the strong magnetic interaction and higher rotation initiate flow instability in the central region of the channel. Moreover, greater magnetic interaction contributes to smoothness of the profile and oscillatory pressure gradient increases the secondary velocity preventing backflow,which are beneficial toMHD rotating generator system.