Internal Heat Generation/Absorption Effects on MHD Radiative Flow Over a Non-Isothermal Stretching/Shrinking Surface Embedded in a Porous Medium

Abstract

A comprehensive study has been made to investigate the effects of thermal radiation and internal heat generation/absorption on nonlinear hydromagnetic flow and heat transfer over a stretching/shrinking surface with variable surface temperature embedded in a porous medium. Using the similarity transformations, the governing equations are transformed into nonlinear ordinary differential equations. Then the numerical solution of the nonlinear boundary value problem is found using Nachtsheim Swigert shooting iteration scheme for the satisfaction of asymptotic boundary conditions along with Fourth Order Runge Kutta method. The effects of different physical parameters governing the flow and heat transfer characteristics such as magnetic parameter, suction parameter, stretching/shrinking parameter, permeability parameter, prandtl number, heat generation/absorption parameter, radiation parameter and w all temperature parameter are discussed. Favourable comparisons of present numerical result with previous published work on various special cases of the problem are obtained. Numerical solutions obtained are also validated by comparing with the closed form solutions.