Mixed Convective MHD Flow of Second Grade Fluid with Viscous Dissipation and Joule Heating Past a Vertical Infinite Plate with Mass Transfer

Abstract

The boundary layer flow of an unsteady, two-dimensional, laminar, mixed convective and mass transfer of a viscoelastic, incompressible and electrically conducting fluid past an infinite vertical flat plate with suction in the presence of transverse magnetic field has been analysed by taking into account the effect of viscous dissipation and Joule heating. The momentum and energy equations are reduced to couple non-linear partial differential equations along with the boundary conditions by using a suitable similarity transformation. These partial differential equations are transformed to a system of coupled non-linear ordinary differential equations by employing a perturbation technique. The system is then solved by developing a suitable numerical procedure such as fourth order Runge-Kutta method along with shooting technique. The expressions for velocity field, temperature field, concentration field and rate of heat transfer have been obtained. The results are discussed in detailed with the help of graphs and table to observe the effect of different pertinent parameters.

Keywords: Second grade fluid, Joule heating, Eckert number