Nonlinear Thermal Impact on Arrhenius-Propelled Flow in a Porous Microchannel

There are drawbacks to using linear density variation with temperature (LDT), especially in situations where advanced thermal systems for microfluidic devices require higher thermal energy to maximize and maintain. Thus, this work examines the effects of non-linear density variation with temperature (NDT) on a magnetized flow induced by an Arrhenius-driven fluid in a porous medium-filled superhydrophobic (SHO) microchannel. While the other parallel plate has a no-slip surface (NSS), one of the plates is purposefully altered to have superhydrophobic surface (SHS) properties. The semi-analytical (regular perturbation) approach is used to solve the nonlinear ordinary differential equations. A graphic representation of the actions of the main parameters governing the flow behavior in terms of momentum and energy distributions is provided. The Nusselt number and skin friction have been calculated for both surfaces. Because the current study is supported by a comparison with previous research, it is valid for the limiting case. It was discovered that NDT has a higher fluid flow than LDT. Additionally, it is seen that the introduction of NDT strengthens the shear stress in the microchannel, whilst the presence of a porous media accelerates the fluid velocity. Applications of this research will include solid matrix heat exchangers, geothermal systems, anti-wetting microtechnology, and petrochemical engineering.