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Flow of shear-thinning fluids through porous media

Airiau, Christophe and Bottaro, Alessandro Flow of shear-thinning fluids through porous media. (2020) Advances in Water Resources, 143. 103658. ISSN 0309-1708

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Official URL: https://doi.org/10.1016/j.advwatres.2020.103658

Abstract

Pseudo-plastic fluids exhibit a non-linear stress-strain relationship which can provoke large, localized viscosity gradients. For the flow of such fluids in porous media the consequence is a strong variability of the effective permeability with porosity, angle of the macroscopic pressure gradient, and rheological parameters of the fluid. Such a variability is investigated on the basis of adjoint homogenization theory for a Carreau fluid in an idealized porous medium geometry, highlighting differences with respect to the Newtonian case. It is shown in particular that the more we depart from Newtonian conditions, the more the (often used) hypothesis of an effective viscosity in Darcy’s law is a poor approximation, for the effective permeability tensor becomes strongly anisotropic.

Item Type:Article
HAL Id:hal-03032993
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Università degli Studi di Genova - UNIGE (ITALY)
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Funders:
IDEX Foundation of the University of Toulouse
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Deposited On:22 Sep 2020 13:05

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