Numerical studies using FDM for viscous dissipation and thermal radiation effects...

The aim of the present paper is to study a numerical solution for the slip flow and heat transfer of a Newtonian fluid due to an impermeable stretching sheet which embedded in a porous medium with a power law surface velocity and variable thickness in the presence of thermal radiation, viscous dissipation and slip velocity effects. The flow is caused by a non-linear stretching of a sheet. Thermal conductivity of the fluid is assumed to vary linearly with temperature. The governing PDEs are transformed into a set of coupled non-linear ODEs which are using appropriate boundary conditions for various physical parameters. The remaining set of ODEs is solved numerically using finite difference method (FDM). The effects of the porous parameter, the wall thickness parameter, the radiation parameter, the Eckert number, the slip velocity parameter, the thermal conductivity parameter and the Prandtl number on the flow and temperature profiles are presented. Moreover, the local skin-friction and Nusselt numbers are presented. Comparison of obtained numerical results is made with previously published results in some special cases, and excellent agreement is noted. The results attained in this paper confirm the idea that FDM is powerful mathematical tool and it can be applied to a large class of linear and nonlinear problems arising in different fields of science and engineering.