Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law

2023/12/04 by María Anguiano, Anguiano, Maria, Matthieu Bonnivard +3 · 5 citations
Chemical Engineering · Computer Science · Engineering · #35B27 #35Q35 #76A05 #76A20 #76M50 #76S05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.2312.01844

openalex publication_date 2023/12/04 · openalex created_date 2023/12/06 · openalex updated_date 2026/07/28

Abstract

We consider the flow of a generalized Newtonian fluid through a thin porous medium of thickness ε, perforated by periodically distributed solid cylinders of size ε. We assume that the fluid is described by the 3D incompressible Stokes system, with a non-linear viscosity following the Carreau law of flow index 1

Cited by

• Modeling of a non-Newtonian thin film passing a thin porous medium
• Darcy's law for micropolar fluid flow in a periodic thin porous medium
• Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity
• Modeling Carreau fluid flows through a very thin porous medium
• Influence of the Reynolds number on non-Newtonian flow in thin porous media

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