Influence of Soret, Dufour and heat source in a Darcy-Forchheimer magnetohydrodynamics (MHD) flow

Abstract

The consequence of Soret, Dufour and heat source in presence of radiation and chemical reaction is been examined in a steady 2-D (two dimensional) Darcy-Forchheimer (D-F) porous MHD flow over a stretching plate using boundary layer study. A constant transverse magnetic field is also taken into account on the stretching plate in occurrence of radiation and chemical reaction. The nonlinear controlling boundary layer PDEs (partial differential equations) of momentum, temperature and concentration are changed using the similarity transformation to a set of nonlinear ODEs (ordinary differential equations). The ODEs are then solved numerically using the MATLAB bvp4c approach. Graphs are used to address the flow, heat, and concentration profiles numerically for various parameters involved in the present problem, such as the inertial parameter, Hartmann number, heat source parameter, porosity parameter, radiation parameter, chemical parameter, Soret number, Eckert number, Dufour number, Schmidt number, and Prandtl number. Also impacts in skin friction (), nusselt number (Nu) and sherwood number (Sh) are shown using graphs for different parameters. While the inertial parameter has a negative impact on the velocity profile, it has a positive impact on the temperature and concentration profiles.