Mixed Convection Flow in a Micro-channel in the Presence of Magnetic Field and Thermal Property

The fully developed MHD mixed convection flow in a micro channel having variable thermal conductivity is considered. The velocity slip and temperature jump at both plates were taken into consideration. The effects of various flow parameters entering into the problem such as Hartmann number, variable thermal conductivity, mixed convection parameter, rarefaction parameter, fluid-wall interaction parameter and wall-ambient temperature difference ratio were discussed with the aid of line graphs. It is revealed that greater values of variable thermal conductivity tend to significantly improve the temperature and velocity gradients respectively. Furthermore, mixed convection parameter, significantly influence the flow pattern.