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Filtration Law for Polymer Flow through porous media

A. Bourgeat·O. Gipouloux·E. Marusic-Paloka
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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.

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A. Bourgeat, O. Gipouloux, E. Marusic-Paloka. 2001-05-28. Filtration Law for Polymer Flow through porous media. https://arxiv.org/abs/math/0105228

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