Influences of Variable Viscosity and Variable Thermal Conductivity on a Mixed Convective Hydromagnetic Flow in a Vertical Channel with Thermophoretic Deposition

The influences of variable viscosity and thermal conductivity on a steady, laminar, viscous, incompressible, hydromagnetic flow passing through a channel filled with a porous medium are investigated. The effects of heat source, thermal radiation, thermophoretic deposition, and Soret and Dufour numbers are considered. The governing equations are solved by the MATLAB bvp4c solver. It is found that increases in the viscosity parameter, thermal conductivity parameter, and the thermophoretic coefficient reduce the fluid velocity, while increasing radiation parameter and Dufour number enhance it. An increase in the thermal conductivity parameter raises the concentration, but reduces the temperature. The influences of the relevant parameters on the skin friction and Sherwood and Nusselt numbers are presented in tabular form and analyzed.