Darcy's law for micropolar fluid flow in a periodic thin porous medium

TL;DR

This paper extends Darcy's law to micropolar fluids flowing through thin, periodic porous media, accounting for microstructure, geometry, and domain thickness to better understand complex flow behaviors.

Contribution

It introduces a generalized Darcy law for micropolar fluids in thin porous structures, incorporating microstructural and geometric effects beyond classical models.

Findings

Derived a new Darcy law for micropolar fluids in thin media

Analyzed the influence of microstructure and geometry on flow behavior

Provided a framework for future studies of complex porous flows

Abstract

In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the geometry of the porous medium and the thickness of the domain (which is significantly smaller than the other dimensions) influence its flow behavior, going beyond the simple pressure-driven flow described by the standard Darcy law.