Work

Influence of the Reynolds number on non-Newtonian flow in thin porous media

Year: 2026

Type: article

Abstract: We study the effect of the Reynolds number on the flow of a generalized Newtonian fluid through a thin porous medium in R3. This medium is a domain of thickness ε≪1, which is perforated by periodically distributed solid cylinders of size ε. We consider the nonlinear stationary Navier-Stokes system with viscosity following the Carreau law with flow index r, with 1 1), inertial effects are expected, and the classical Darcy's law approximation fails. Finally, we propose a new numerical method for solving the nonlinear Darcy's law describing the effective flow in the critical case. We present a mesh convergence analysis for the 3D cell describing the periodic structure of the material, and study the influence of rheological and geometrical parameters of the flow on the resulting numerical solutions.

Source: Applicable Analysis

DOI: 10.1080/00036811.2026.2702475

Authors: María Anguiano, Matthieu Bonnivard, Francisco J. Suárez-Grau

Institutions: Universidad de Sevilla, Lyon 1 Université, Université Jean Monnet, Université Jean Monnet

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Shape and Topology Optimization: Impactful QUestions and Emerging Subjects