Filtration Law for Polymer Flow through porous media

Details Filtration Law for Polymer Flow through porous media Filtration Law for Polymer Flow through porous media

2001-05-28

arxiv.org/abs/math/0105228v1

Mathematics

Analysis of PDEs

22 pages, 7 figures, Latex files, main file: main_file.tex which call all other files

Scientific paper

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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