Filtration Law for Polymer Flow Through Porous Media

DOI10.1137/S1540345902415321zbMath1038.76044arXivmath/0105228OpenAlexW2030594283MaRDI QIDQ4434384

Eduard Marušić-Paloka, Olivier Gipouloux, Alain Bourgeat

Publication date: 2003

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105228

zbMATH Keywords

homogenizationdecouplingpower lawmicroscalemacroscaleTaylor approximationnonlinear Darcy's lawCarreau lawmacroscopic filtration lawquasi-Newtonian models

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (8)

Homogenization of an incompressible non-Newtonian flow through a thin porous medium ⋮ Interfacial boundary conditions between a free domain and thin porous layers for non-Newtonian fluid flows ⋮ On the non‐stationary non‐Newtonian flow through a thin porous medium ⋮ Homogenizing the acoustics of cancellous bone with an interstitial non-Newtonian fluid ⋮ Low-volume-fraction limit for polymer fluids ⋮ Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration ⋮ Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium

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