Effects of radiation on mixed convection in power law fluids along a vertical wedge embedded in a saturated porous medium under prescribed surface heat flux condition

Abstract

Radiation-mixed convection boundary layer analysis in power law fluids along vertical wedge embedded in a saturated porous medium has been performed using an implicit finite difference method. Darcian, steady, 2-D laminar flow has been considered under prescribed surface heat flux condition. The single mathematical model represents the case for vertical wedge, cone and plate by introducing the geometry parameter 'ε'. The governing equations and boundary conditions are transformed into dimensionless form to obtain similar and non-similar solutions. The results for non-similar case have been presented and plotted. Effects of radiation parameter 'Rd', variable heat flux parameter 'λ', wedge angle parameter 'm' and mixed convection parameter 'χ' have been studied for both Newtonian and Non-Newtonian fluids. These results have also been verified with available literature in defined range of parameters and found in good agreement. Results for both Newtonian and Non-Newtonian fluids have been presented for varying parameters like local Nusselt number, temperature and velocity fields.