Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium - Archive ouverte HAL Access content directly
Journal Articles Mediterranean Journal of Mathematics Year : 2021

Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium

Abstract

In this paper we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded perforated 3D domain confined between two parallel plates, where the distance between the plates is very small. The perforation consists in an array solid cylinders, which connect the plates in perpendicular direction, distributed periodically with diameters of small size compared to the period. For a specific choice of the thickness of the domain, we found that the homogenization of the power law Stokes system results a lower-dimensional nonlinear Brinkman type law.
Fichier principal
Vignette du fichier
Anguiano_SuarezGrau.pdf (556.83 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02902211 , version 1 (18-07-2020)

Identifiers

  • HAL Id : hal-02902211 , version 1

Cite

María Anguiano, Francisco J. Suárez-Grau. Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium. Mediterranean Journal of Mathematics, 2021. ⟨hal-02902211⟩

Collections

INSMI TDS-MACS
270 View
84 Download

Share

Gmail Facebook Twitter LinkedIn More