Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel

Abstract

This paper examines the Electro-MHD flow and heat transfer of a third grade fluid passing through a porous channel. An unidirectional and one-dimensional flow is propelled with the aid of lorentz force generated due to interaction of vertically applied magnetic ï¬eld along with horizontally applied electric ï¬eld. The equations of momentum and energy governing the third grade fluid flow are transformed to algebraic equation from nonlinear partial differential equation by implementing fully implicit ï¬nite difference scheme and solution is obtained by damped-Newton method. Lastly, the problem is simulated using MATLAB and the influence on velocity and temperature proï¬les with variation of non-dimensional parameters are depicted graphically. The noteworthy ï¬ndings of this study is that the increasing values of elastic parameter α and non-Newtonian parameter γ diminishes the flow velocity and results in enhancement of temperature proï¬le. A completely contrasting effect is observed for increasing values of strength of electric and magnetic ï¬eld.