Unsteady MHD reactive flow of second grade fluid through porous medium in a rotating parallel plate channel

Abstract

We considered the transient MHD flow of a reactive second grade fluid through a porous medium between two infinitely long horizontal parallel plates where one of the plate is uniform accelerated motion in the presence of a uniform transverse magnetic field with Arrhenius reaction rate. The transient momentum equations are solved analytically using the Laplace transform technique. The velocity and temperature is presented in graphical form and discussed computationally. The shear stress and Nusselt number are also obtained analytically and computationally discussed. Our results divulge that the effects of magnetic field, rotation, exothermic reaction and variable thermal conductivity have significant impact on the hydromagnetic flow and heat transfer.