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Carreau law for non-Newtonian fluid flow through a thin porous media

Abstract : We consider the flow of quasi-Newtonian fluid through a thin porous media. The media under consideration is a bounded perforated three dimensional domain confined between two parallel plates, where the distance between the plates is described by a small parameter ε. The perforation consists in an array of solid cylinders, which connect the plates in perpendicular direction, with diameter of size ε and distributed periodically with period ε. The flow is described by the three dimensional incompressible stationary Stokes system with a non-linear viscosity following the Carreau law. We study the limit when the thickness tends to zero and prove that the averaged velocity satisfies a non-linear two dimensional homogenized law of Carreau type.
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https://hal.archives-ouvertes.fr/hal-02906828
Contributor : María Anguiano <>
Submitted on : Saturday, July 25, 2020 - 7:55:42 PM
Last modification on : Tuesday, September 1, 2020 - 3:08:02 PM
Long-term archiving on: : Tuesday, December 1, 2020 - 6:59:15 AM

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María Anguiano, Francisco J. Suárez-Grau. Carreau law for non-Newtonian fluid flow through a thin porous media. 2020. ⟨hal-02906828⟩

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