• MOMENTUM AND HEAT TRANSFER OF A NON-NEWTONIAN EYRING-POWELL FLUID OVER A NON-ISOTHERMAL STRETCHING SHEET

Abstract

This paper investigates the problem of steady, laminar, two-dimensional boundary layer flow and heat transfer of an incompressible, viscous non-Newtonian fluid over a non-isothermal stretching sheet in the presence of viscous dissipation and internal heat generation/absorption. The non-Newtonian behavior of the fluid is characterized by the constitutive equation due to Powell and Eyring. A second order approximation of the Eyring Powell model is used to obtain the flow equations. 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. Similarity transformation method has been utilized for the reduction of partial differential equations into the ordinary differential equations. The transformed coupled ordinary equations are highly non-linear and are solved numerically using a second order implicit finite difference scheme known as the Keller-box method. Computation has been carried out for two different cases, namely prescribed surface temperature (PST) and prescribed heat flux (PHF) to get the effect of non-Newtonian fluid parameters at various physical situations. Numerical values of skin-friction coefficient and local Nusselt number for non-isothermal boundary conditions are tabulated in Tables 2 and 3.The effects of various pertinent parameters on flow and the heat transfer characteristics are discussed numerically and explained graphically. Comparison between the present and previous limiting results is shown in Table.1.