Unsteady mixed convection visco-elastic flow and heat transfer in a thin film flow over a porous stretching sheet with internal heat generation

Abstract

In this study, a two-dimensional unsteady mixed convection flow of an incompressible visco-elastic fluid over a porous thermal forming thin film stretching sheet with internal heat generation has been studied. Two novel items x and are presented for free convection in porous space important parameters and an internal heat generation phenomena, respectively. The similarity transformation and an implicit finite-difference method have been used to analyze the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, the wall unknown values of f''(0) and for calculating the heat transfer of the similar boundary-layer flow are carried out as functions of the unsteadiness parameter (S), the Prandtl number (Pr), the visco-elastic parameter (α), the porous parameter (), the space-dependent parameter (A) and temperature-dependent parameter (B) for heat source/sink and the free convection parameter (G). The effects of these parameters have also been discussed. The results show that it will produce greater heat transfer effect with a larger Pr, G and α, but S, A and B will reduce heat transfer effect. Key words: Visco-elastic, thin film flow, porous medium, finite-difference method, heat transfer, unsteady stretching sheet, mixed convection, internal heat generation.