Nusselt number and skin‐friction coefficients of a micropolar flow over a flat plate under constant wall temperature conditions in a porous medium

Abstract

This study examines the forced convection of a micropolar fluid (MPF) flow across a vertical permeable plate inside a porous medium. A similar solution is derived for a scenario involving a constant surface temperature. The system of transformed governing equations is addressed by employing a finite‐difference method. Notably, a parametric analysis is conducted to demonstrate how the Prandtl number, micropolar parameters, Darcy number, inertia coefficient (ξ), skin friction (Cf), and Nusselt number (Nu) impact the system. The results are then presented graphically, while the physical aspects of the issue are assessed. Although a larger Nu produced a high wall heat transfer, the Cf values are decreased as ξ increases. The ξ also reduces the local Nu. Compared with Newtonian fluids, the MPF increases Cf and reduces the heat transfer rate. The outcomes are validated by comparing the current results with other related studies. The results of this study are useful for improving the efficiency of solar panels by enhancing their cooling rate. It is also found that increasing the inertia of MPF leads to an increase in the friction coefficient (Cf) while increasing porosity, microrotation parameter n and Fs decreases (Cf).