MHD FLOW AND HEAT TRANSFER OVER A NONLINEARLY STRETCHING SHEET IN POROUS MEDIUM FILLED WITH A NANOFLUID

摘要

In this article, the magnetohydrodynamic flow and heat transfer of a nanofluid over a nonlinearly stretching permeable sheet in porous medium is investigated numerically. The similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations which are then solved numerically using the fourth-order Runge-Kutta method with shooting technique. The stretching velocity of sheet is assumed to have a power-law variation with the horizontal distance along the plate. To investigate the influence of various pertinent parameters, graphical results for the local Nusselt number, skin friction coefficient, velocity profiles, and temperature profiles are presented for different values of the governing parameters for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid. It is found that the values of the skin friction coefficient and the Nusselt number increase with nonlinear velocity parameter n. Also, the Nusselt number is found to increase as temperature power-law exponent increases. Furthermore, it is found that permeability parameter of the medium has a greater effect on the flow and heat transfer of a nanofluid than the magnetic parameter.