Filtration Law for Polymer Flow through porous media
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2001
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| _version_ | 1866918162823380992 |
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| author | Bourgeat, A. Gipouloux, O. Marusic-Paloka, E. |
| author_facet | Bourgeat, A. Gipouloux, O. Marusic-Paloka, E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0105228 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Filtration Law for Polymer Flow through porous media Bourgeat, A. Gipouloux, O. Marusic-Paloka, E. Analysis of PDEs Numerical Analysis 76S05;76A05 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. |
| title | Filtration Law for Polymer Flow through porous media |
| topic | Analysis of PDEs Numerical Analysis 76S05;76A05 |
| url | https://arxiv.org/abs/math/0105228 |