UNSTEADY HYDROMAGNETIC FORCED CONVECTIVE HEAT TRANSFER FLOW OF A MICROPOLAR FLUID ALONG A POROUS WEDGE WITH CONVECTIVE SURFACE BOUNDARY CONDITION

In this paper we analyze unsteady two dimensional hydromagnetic forced convective heat transfer flow of a viscous incompressible micropolar fluid along a permeable wedge with convective surface boundary condition. The potential flow velocity has been taken as a function of the distance x and time t. The governing time dependent non-linear partial differential equations have been reduced to a set of non-linear ordinary differential equations by introducing a new class of similarity transformations. Comparisons with previously published work are performed, and the results are found to be in excellent agreement. The resulting local similarity equations for unsteady flow have been solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. Numerical results in the form of non-dimensional velocity, microrotation and temperature profiles are presented graphically and discussed for different material parameters entering into the analysis. The effects of the pertinent parameters on the local skin-friction coefficient, plate couple-stress and the rate of heat transfer are also displayed in tabulated form and discussed them from the physical point of view. The obtained numerical results show that the rate of heat transfer increases with the increase of the unsteadiness parameter and decreases with the increase of the surface convection parameter.