Numerical study of non-linear thermal radiative heat transfer in a non-Darcy chemically reactive Casson fluid flow

Abstract

Study of thermal radiative heat transport is relevant in several industrial applications. Analysis of radiative heat transfer in Newtonian fluids under different conditions has been studied extensively. However, not much attention has been paid to analyze the non-linear thermal radiative heat transfer in non-Darcy Casson fluid flows over stretching surfaces. Hence, in this paper an attempt is made to study the combined effect of non-linear thermal radiation and Navier slip in a magnetohydrodynamically and chemically reactive Casson fluid flow on a stretching surface immersed in a non-Darcy porous medium in the presence of thermo-diffusion. The physics of the problem is delineated by a set of partial differential equations. To solve these equations numerically scaling analysis and Runge–Kutta–Fehlberg method are sequentially applied. Computational results of the investigation are analyzed through graphs and tables. It is noted that the non-Newtonian rheology parameter, inertial and Lorentz forces are seen to suppress the flow while thermal and solutal buoyancy forces have an opposite effect. Parameters of temperature ratio and thermal radiation enhanced the temperature.