Casson fluid flow with heat generation and radiation effect through a porous medium of an exponentially shrinking sheet

Abstract

In the paper, the effects of radiation on two dimensional non-Newtonian Casson fluid flows over an exponentially shrinking sheet through a porous medium with heat generation and viscous dissipation are investigated. The governing high nonlinear partial differential equations, with the aid of similarity transformation are converted to nonlinear ordinary differential equations and then solved numerically using a shooting method with fourth order Runge-Kutta scheme. The effects of the controlling parameters on velocity and temperature profiles are illustrated graphically using MATLAB software. The result shows that the skin-friction coefficient and Nusselt number reduces with increase in the values of the radiation and suction parameter. Also, increase in the Casson and suction parameters leads to increase in the velocity distribution of the fluid and decrease in the temperature distribution of the fluid.