An analytical solution of MHD non-Newtonian fluid flow over a stretching surface with mixed convection and porous media

The current study deals with the heat and mass transfer features of Casson fluid flow over a stretching sheet including porous medium, mixed convection, magnetic field as well as Soret and Dufour effects in conjunction with thermal radiation. Appropriate similarity variables, through which the governing nonlinear equations are transformed to ordinary differential equations (ODEs), can provide solutions for ODE analytically. Our analysis is performed through two separate cases, disregarding porosity and convection in the first one and considering both of them i.e. porosity and magneto-convection during second case studies. The velocity profile decreases with an increase in the Casson parameter, and it increases for buoyancy parameter concentration. Also, the concentration profile also increases as Soret number rises and temperature profiles show an upward trend to rise with increase in Dufour number. These results have significance in chemical process engineering, reactor safety as well as energy systems where they can play a role particularly to optimize thermal management and increase combustion efficiency (for industrial applications) or/and are indispensable for improving the operation of solar power plants.