Impact of Anisotropic Permeability on Micropolar Fluid Dynamics and Heat Transfer in Porous Channels

Abstract

The current study explores the fluid dynamics and heat transfer characteristics of micropolar fluids within a channel filled with anisotropic porous media. The governing equations for the fluid flow, microrotation, and temperature profiles are numerically solved using Spectral Quasi-Linearization Method (SQLM). The research examines the influence of various key parameters such as the anisotropic permeability ratio, anisotropic angle, Darcy number, Reynolds number, Brinkman number, Prandtl number, and coupling number. Key findings indicate that the anisotropic permeability ratio and anisotropic angle significantly affect fluid flow and heat distribution, with increased anisotropy leading to enhanced microrotation and temperature, albeit with reduced velocity at the channel center. Higher Darcy numbers result in less restricted flow, increasing velocity and reducing microrotation effects, while increasing the coupling number contributes to a more uniform temperature profile. These results provide significant insights into the optimization of heat transfer and flow control in engineering applications that involve micropolar fluids in porous media.

Keywords

• Micropolar fluid
• Anisotropic porous media
• Anisotropic permeability
• Microrotation
• Heat transfer
• Quasi- Linearization method