Analysis of mixed convection flow on Arrhenius-controlled heat generating/absorbing fluid in a super-hydrophobic microchannel: A semi-analytical approach

Abstract

The theoretical analysis of steady mixed convection with Arrhenius-controlled heat flow for a viscous and an electrically-conducting fluid traveling across an isothermally heated vertical parallel plate in a slit micro-channel is investigated in this study. One wall had super-hydrophobic slip and a temperature spike, while the other did not. A semi-analytical technique (perturbation series) was employed to analyze the nonlinear and coupled leading equations. The results were carefully scrutinized, and the effects of the relevant and pertinent parameters were illustrated using various plots. It is concluded from this work that the actions of mixed convection and chemically reacting factors are noticed to substantially strengthen the fluid movement in the micro-channel for a constant pressure gradient. Additionally, the function of heat source parameter is depicted to raise the fluid flow while heat absorption parameter yields the reverse phenomenon. In the fields of engineering and medicine, it is essential to understand these fluids' characteristics. Owing to the lubrication of micro-channel boundary surfaces where conductivity and viscosity interact with thermos-physical behavior, the results of the present investigation can significantly enhance the functioning of micro-electro-mechanical systems (MEMS) and micro-devices relying on micro-fabrication processes.