This paper is devoted to introduce a numerical simulation using the differential transformation
method (DTM) with a theoretical study for the effect of viscous dissipation on the
steady flow with heat transfer of Newtonian fluid towards a permeable stretching surface
embedded in a porous medium with a second order slip. The governing nonlinear partial
differential equations are converted into a system of nonlinear ordinary differential
equations (ODEs) by using similarity variables. The resulting ODEs are successfully
solved numerically with the help of DTM. Graphic results are shown for nondimensional
velocities and temperatures. The effects of the porous parameter, the suction (injection)
parameter, Eckert number, first and second order velocity slip parameters and the
Prandtl number on the flow and temperature profiles are given. Moreover, the local skinfriction
and Nusselt numbers are presented. Comparison of numerical results is made
with the earlier published results under limiting cases.