EFFECT OF PARTIAL SLIP AND RADIATION ON LIQUID FILM FLUID FLOW OVER AN UNSTEADY POROUS STRETCHING SHEET WITH VISCOUS DISSIPATION AND HEAT SOURCE/SINK

The effects of partial slip and heat transfer on an unsteady laminar boundary layer liquid film flow over a stretching surface with porous media subjected to radiation, viscous dissipation, and heat source/sink are reported. The time dependent laminar boundary layer equations are reduced to a nonlinear ordinary differential equation system with the use of similarity transformations. The flow and thermal fields are derived numerically using the efficient shooting method and plotted for various values of the relative dimensionless parameters, namely unsteadiness parameter S, the inverse Darcy number Da(-1), the slip parameter Gamma, the Prandtl number Pr, the heat source/sink parameter N-I, the thermal radiation parameter N-r and the Eckert number Ec. It was found that the temperature increases for increasing values of S, Da(-1), Gamma, N-r and heat source parameter (N-I > 0), whereas it decreases as Pr, Ec and heat sink parameter (N-I < 0) grow. Consequently, the velocity increases when S increases, while it is reduced as Da(-1) and Gamma grow.