Modeling of a non-Newtonian thin film passing a thin porous medium

2025/12/16 by Anguiano, María, Suárez-Grau, Francisco J.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2512.14275

Abstract

This theoretical study deals with asymptotic behavior of a coupling between a thin film of fluid and an adjacent thin porous medium. We assume that the size of the microstructure of the porous medium is given by a small parameter 0<ε≪ 1, the thickness of the thin porous medium is defined by a parameter 0

Citations

• Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law
• Sharp pressure estimates for the Navier-Stokes system in thin porous media
• Homogenization and dimension reduction of the Stokes-problem with Navier-Slip condition in thin perforated layers
• Mathematical modeling of micropolar fluid flows through a thin porous\n medium
• Theoretical derivation of Darcy's law for fluid flow in thin porous media
• Homogenization of Bingham Flow in thin porous media
• Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
• Homogenization of a stationary navier-stokes flow in porous medium with thin film
• Filtration Law for Polymer Flow through porous media

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• Effective interface laws of Navier-slip-type involving the elastic displacement for Stokes flow through a thin porous elastic layer