This article presents a numerical solution for the flow of a Newtonian fluid
over an impermeable stretching sheet embedded in a porous medium with the power
law surface velocity and variable thickness in the presence of thermal radiation. The
flow is caused by non-linear stretching of a sheet. Thermal conductivity of the fluid
is assumed to vary linearly with temperature. The governing partial differential equations
(PDEs) are transformed into a system of coupled non-linear ordinary differential
equations (ODEs) with appropriate boundary conditions for various physical parameters.
The remaining system of ODEs is solved numerically using a differential transformation
method (DTM). The effects of the porous parameter, the wall thickness parameter, the
radiation parameter, the thermal conductivity parameter, and the Prandtl number on
the flow and temperature profiles are presented. Moreover, the local skin-friction and the
Nusselt numbers are presented. Comparison of the obtained numerical results is made
with previously published results in some special cases, with good agreement. The results
obtained in this paper confirm the idea that DTM is a powerful mathematical tool and
can be applied to a large class of linear and non-linear problems in different fields of
science and engineering. |
