An Analysis of Unsteady MHD Couette Flow and Heat Transfer in a Rotating Horizontal Channel with Injection/Suction

The Present paper aims significantly analyses the effect of transient hydro magnetic Coutte flow and heat transfer of an incompressible electrically conducting viscous fluid through a porous medium between two infinitely long horizontal parallel plates when upper plate is allowed to move in the presence of uniform transverse magnetic fluid normal to the plates whereas lower plate kept at rest taking injections/suction into account. The channel rotates about an axis perpendicular to the plates of the channel. The nondimensional governing the transient momentum equation and the energy equation are solved analytically by applying the perturbation technique. The effect of various physical pertinent parameters is discussed on the flow field, the temperature profile numerically and presented by figures. The thermal slip at the lower plate is taken in account. The effect of Skin friction and rate of heat transfer in terms of Nusselt number is shown by tables. Our results reveal that the combined effects of magnetic field (M), rotation parameter (Ω), Prandtl number (Pr), permeability (Kp), injection/suction (Re), heat generation/absorption (S) and thermal slip have significant impact on the hydromagnetic flow and heat transfer. The Problem is very much significant in view of its several engineering, geophysical and industrial applications.