Impact of melting and radiation on MHD mixed convective heat transfer slip flow through vertical porous embedded micro-channel

This study evaluates the melting and slip effect on mixed convective heat transfer through porous micro channel having electrical conducting and non-conducting walls. The flow mechanics of the fluid injection and ejection through the micro channel under the transverse magnetic field is developed using nonlinear coupled model of higher order ordinary differentials. These are non-sensationalized with the aid of similarity transforms. The model governing the mechanics of thermal fluid transport is analyzed using the Homotopy perturbation method of analytical solution, which is validated for simple conditions using existing literatures that show satisfactory results. The effect of rheological parameters of heat transfer during fluid transport is presented in the bid to enhance system operations lowering energy utilization consequently minimizing cost. Obtained results reveal that combined effect of melt and radiation on the thermal boundary layer steadily lowers its thickness. Also rise in radiation parameter ( R ) ranging in 1 < R < 5 reveals thermal profile decreases from −0.4804 to −1.3081 at the mid plate of the micro channel. The study provides useful insight in engineering science applications including magneto hydrodynamics molten metal and molten salt pumps among other practical, yet useful applications.