Numerical solution of heat transfer past a stretching sheet with viscous dissipation and internal heat generation with prescribed surface temperature

Abstract

In this paper, the problem of boundary layer flow and heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation is studied. Thermal boundary condition on the surface that is prescribed surface temperature (PST) is considered. The governing nonlinear partial differential equations are transformed into nonlinear ordinary differential equations by applying the similarity transformations. The obtained nonlinear ordinary differential equations are reduced to the system of first order ordinary differential equations. Then the system of first order ordinary differential equations is solved numerically using the Keller-box method. Results are presented in figures and discussed in details for the temperature profiles and the temperature gradient for some values of the Prandtl number, Eckert number and heat/source sink parameter.