Effects of Joule Heating and Viscous Dissipation on MHD Viscous Fluid Flow past a Porous Stretching Surface

Abstract

Of concern in the paper is a study of the time-dependent flow of a viscous fluid over a stretching surface in the presence of a transverse magnetic field. The effects of Joule heating and viscous dissipation are taken into account. Considering temperature-dependent viscosity, the momentum and energy equations with Boussinesq approximation are transformed into ordinary differential equations by using similarity transformations. Choosing suitable stretching and suction velocities, the time derivatives in the governing equations are removed and the resulting non-linear ordinary differential equations are solved by using finite difference method and Thomas Algorithm. The numerical solutions of the problem are presented graphically/in tabular form for different parameters that appear in the analysis viz. mixed convection parameter, time varying parameter, Prandlt number, Eckert number, magnetic field parameter, temperature dependent viscosity parameter and suction velocity. It is observed that most of the parameters have significant influence on the velocity and temperature distributions.