SIGNIFICANCE OF VISCOUS DISSIPATION AND POROSITY EFFECTS IN A HEATED SUPERHYDROPHOBIC MICROCHANNEL

Abstract

The theoretical treatment of 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 microchannel filled with porous material is investigated in this work. 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. It is concluded from this analysis that the fluid temperature and velocity were found to increase as the viscous dissipation term increased. Similarly, the function of Darcy's porous number is to significantly strengthen the fluid velocity, and these effects are stronger at the heated super-hydrophobic surface, whereas the mounting level of the magnetic field is seen to drastically weaken the fluid motion in the microchannel. Setting the Brickman number, Br, to zero and the porous parameter, K, to 1000, so that the term 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 have 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.