Filtration Law for Polymer Flow through porous media
Analysis of PDEs
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper we study the filtration laws for the polymeric flow in a porous medium. We use the quasi-Newtonian models with share dependent viscosity obeying the power-law and the Carreau's law. Using the method of homogenization the coupled micro-macro homogenized law, governing the quasi-newtonian flow in a periodic model of a porous medium, was found. We decouple that law separating the micro from the macro scale. We write the macroscopic filtration law in the form of non-linear Darcy's law and we prove that the obtained law is well posed. We give the analytical as well as the numerical study of our model.
Cite
@article{arxiv.math/0105228,
title = {Filtration Law for Polymer Flow through porous media},
author = {A. Bourgeat and O. Gipouloux and E. Marusic-Paloka},
journal= {arXiv preprint arXiv:math/0105228},
year = {2025}
}
Comments
22 pages, 7 figures, Latex files, main file: main_file.tex which call all other files