This article investigates the theoretical treatment of mixed convection heat enhancement flow for an electrically-conducting and viscous dissipative fluid traveling vertically through a thermodynamic system where the parallel plates are constantly heated in a slit micro-channel due to mixed convection with porous material. One surface had super-hydrophobic slip and a temperature jump, whereas the other did not. The perturbation technique (semi-analytical method) was employed to solve the nonlinear and coupled leading equations. The results were carefully scrutinized, and the effects of the relevant controlling parameters are shown using different plots. It is concluded from this analysis that the fluid temperature and velocity was found to increase as the viscous dissipation term is increased. Similarly, the function of Darcy porous number is to significantly strengthen the fluid velocity, and these effects are stronger at the heated super-hydrophobic surface, whereas mounting level of magnetic field is seen to drastically weaken the fluid motion in the microchannel. Setting Br and A to zero respectively, Gr/Re=1, and Da to 1000, so that the term 1/Da becomes insignificant, Jha and Gwandu (2017)'s work is retrieved, verifying the accuracy of the current analysis. Further, the outcomes of this research can have possible applications in the lubrication industry and biomedical sciences and has proved very useful to designers in increasing the performance of mechanical systems when viscous dissipation is involved, as well as heat transfer in micro-channels, as it is in combustion.