On a Dirichlet problem related to anisotropic fluid flow in bidisperse porous media

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Abstract

This paper is concerned with the study of a Dirichlet boundary value problem for a system of two coupled anisotropic Darcy-Forchheimer-Brinkman equations on a bounded Lipschitz domain in $\mathbb{R}^{n}=\left( 2,3\right)$ . Using variational methods and fixed point techniques, we obtain a well-posedness result in $L^{2}$ -based Sobolev spaces for sufficiently small data. As an application, we investigate numerically the lid-driven flow problem in a square cavity saturated with a bidisperse porous medium and analyze the effect of various physical parameters on the fluid motion.

Authors

Andrei Gasparovici
Faculty of Mathematics and ComputerScience, Babe¸s-Bolyai University,Cluj-Napoca, Romania

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A. Gasparovici, On a Dirichlet problem related to anisotropic fluid flow in bidisperse porous media, Mathematical Methods in the Applied Sciences, 48 (2025) no. 3, pp. 3652-3669, https://doi.org/10.1002/mma.10506

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open access: https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10506

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Mathematical Methods in the
Applied Sciences

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Wiley

DOI

https://doi.org/10.1002/mma.10506

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