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

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.