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Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium

Abstract : In this paper we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded perforated 3D domain confined between two parallel plates, where the distance between the plates is very small. The perforation consists in an array solid cylinders, which connect the plates in perpendicular direction, distributed periodically with diameters of small size compared to the period. For a specific choice of the thickness of the domain, we found that the homogenization of the power law Stokes system results a lower-dimensional nonlinear Brinkman type law.
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https://hal.archives-ouvertes.fr/hal-02902211
Contributor : MarÍa Anguiano Connect in order to contact the contributor
Submitted on : Saturday, July 18, 2020 - 10:42:11 AM
Last modification on : Sunday, October 24, 2021 - 12:28:01 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 12:47:18 AM

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María Anguiano, Francisco J. Suárez-Grau. Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium. Mediterranean Journal of Mathematics, Springer Verlag, 2021. ⟨hal-02902211⟩

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