Momentum and heat transfer in visco-elastic fluid flow in a porous medium over a non-isothermal stretching sheet

Abstract

Visco-elastic fluid flow and heat transfer in a porous medium over a non-isothermal stretching sheet have been investigated. The flow is influenced by linearly stretching the sheet in the presence of suction, blowing and impermeability of the wall. Thermal conductivity is considered to vary linearly with temperature. The intricate non-linear problem has been solved numerically by shooting technique with fourth order Runge-Kutta algorithm after using perturbation method. The zeroth order solutions are obtained analytically in the form of Kummer's function. An analysis has been carried out for two different cases, namely prescribed surface temperature (PST) and prescribed heat flux (PHF) to get the effect of porosity and viscoelasticity at various physical situations. The important finding is that the effect of visco-elasticity and porosity is to increase the wall temperature in case of blowing and to decrease in both the cases of suction and when the stretching sheet is impermeable.