In this paper, the effect of thermal radiation, variable viscosity and variable thermal conductivity on
the flow and heat transfer of a thin liquid film over an unsteady stretching sheet is analyzed. The continuity, momentum and energy equations, which are coupled nonlinear partial differential equations, are
reduced to a set of two non-linear ordinary differential equations, before being solved numerically. Results for the skin-friction coefficient, local Nusselt number, velocity profiles as well as temperature profiles are presented for different values of the governing parameters. It is found that increasing the viscosity parameter leads to a rise in the velocity near the surface of the sheet and a fall in the temperature.
Furthermore, it is shown that the temperature increases due to an increase in the values of the thermal
conductivity parameter and the thermal radiation parameter, while it decreases with an increase of the
Prandtl number.