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Microstructural effects on the flow law of power-law fluids through fibrous media

Z Idris1, L Orgéas1, C Geindreau1, J-F Bloch2 and J-L Auriault1

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In this work, the flow of power-law fluids through anisotropic fibrous media is revisited, upscaling the fluid flow at the pore scale with the homogenization method of multiple scale expansions for periodic structures. This upscaling technique permits a quantitative study of the seepage law by performing numerical simulation with simple two-dimensional periodic arrays of circular solid inclusions. The significant role of the solid fraction, the fluid rheology and the porous media anisotropy on the resulting macroscopic flow law is underlined from the simulation.


PACS

47.56.+r Flows through porous media

47.57.Qk Rheological aspects

47.10.-g General theory in fluid dynamics

47.15.-x Laminar flows

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Mathematical physics

Dates

Issue 5 (September 2004)

Received 19 March 2004

Published 9 August 2004



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