Arrhenius-Controlled Heat Transfer Fluid Provoked by Porosity Effect through a Vertical Micro-Channel: An Analytical Approach

Abstract

<em>This article basically focuses on the analytical treatment of Arrhenius-controlled fluid in a vertical micro-channel saturated with porous material. The leading equations are solved in dimensionless form using the homotopy perturbation method (HPM) subject to relevant boundary conditions. The fundamental flow features of temperature, velocity, and volume flow rate is investigated as a function of controlling parameters such as chemical reaction parameters, rarefaction parameter, fluid-wall interaction parameter, wall-ambient temperature difference ratio, and Darcy number. The findings are thoroughly investigated and graphically represented in a number of illustrative plots. It is worth noting that the variations of chemical reaction, Darcy number, rarefaction and wall-ambient temperature difference ratio parameters substantially dictate the fluid flow and volume flow rate respectively.</em>