COMPUTATIONAL DYNAMICS OF MHD FREE CONVECTION FLOW ALONG AN INCLINED PLATE WITH NEWTONIAN HEATING IN THE PRESENCE OF VOLUMETRIC HEAT GENERATION

Abstract

In this study, we examine the combined effects of a transverse magnetic field and an exponentially decaying heat source on boundary layer flow of a viscous incompressible electrically conducting fluid over an inclined plate with a Newtonian surface heating. The governing partial differential equations with the appropriate boundary conditions are reduced to a set of nonlinear ordinary differential equations using similarity transformations. The obtained differential equations are solved numerically using a fourth-order Runge-Kutta integration scheme along with an efficient shooting technique. A comparison with earlier results in the literature shows perfect agreement. Effects of various embedded parameters on the fluid velocity, fluid temperature, skin friction, plate surface temperature, and heat transfer rate are presented graphically and discussed quantitatively.