English

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

Analysis of PDEs 2025-08-07 v1

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.

Keywords

Cite

@article{arxiv.2508.04629,
  title  = {Darcy's law for micropolar fluid flow in a periodic thin porous medium},
  author = {María Anguiano and Francisco J. Suárez-Grau},
  journal= {arXiv preprint arXiv:2508.04629},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2004.07022