Micropolar Fluid Flow in Porous Medium Sandwiched between Black Isothermal Plate and Solid Plate

Abstract

This study employs a comprehensive analytical approach to investigate the flow of micropolar fluid within a porous medium, confined between two plates: a black isothermal plate at the lower region and a solid plate at the upper region. The plates are maintained at distinct constant temperatures, while radiative heat effects on the pressure gradient are neglected.The Brinkman equation is utilized to describe the behavior of the micropolar fluid in the porous domain. The governing equations are transformed into a system of differential equations and solved analytically using the Linear Differential Equation (LDE) method. Closed-form expressions for fluid velocity, microrotation, and temperature are derived, highlighting the influence of radiation in the absence of scattering, where the medium itself emits and absorbs radiation. Associated parameters such as viscosity, permeability, Prandtl number, Eckert number, and thermal radiation, are examined in detail, with their impacts visualized graphically using MATHEMATICA (10.3). The findings have significant practical implications for applications such as heat exchangers, cooling systems, and thermal energy storage solutions.