Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter

2025/08/06 by Anguiano, María, Suárez-Grau, Francisco J.
#6A05 #76A20 #76M50 #76S05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.04688

Abstract

We consider the flow of a generalized Newtonian fluid through a thin porous medium of height h_ε perforated with ε-periodically distributed solid cylinders of very small diameter εδ_ε, where the small parameters ε, δ_ε and h_ε are devoted to tend to zero. We assume that the fluid is described by the 3D incompressible Stokes system with a non-linear power law viscosity of flow index 1

Citations

• 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 Stokes equations in perforated domains: a unified approach
• Homogenization of Bingham Flow in thin porous media
• Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
• Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
• Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes
• The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system
• Homogenization of a stationary navier-stokes flow in porous medium with thin film
• Filtration Law for Polymer Flow through porous media

Related

• Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law
• Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
• Modeling Carreau fluid flows through a very thin porous medium
• 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