Coriolis effects during fluid flow through rotating granular porous media

• Autorzy: Sawicki E. , Geindreau C. , Auriault J.
• Konferencja: XIII Polish-French Colloquium: Soil and Rock Mechanics in Civil and Environmental Engineering, Wrocław, June 9-10, 2004
• Języki publikacji: EN

Abstrakty

EN

Recently, the filtration law of an incompressible viscous Newtonian fluid flowing through a rigid non-inertial porous medium (e.g. a soil sample placed in a centrifuge basket) which takes into account the Criolis effects was developed by using an upscaling technique [2], [3], [7]. The structure of the law obtained is similar to that of the Darcy's law but the permeability tensor depends on the angular velocity w of the porous matrix, i.e. on the Ekman number Ek. It satisfies the Hall-Onsager's relation and is a non-symmetric tensor. The present study aims at quantifying more precisely the Coriolis effects in a porous medium. For this purpose we performed some 3D numerical simulations for the flow through rotating periodic array of spheres. Our numerical results clearly show the influ­ence of the Coriolis effects on the permeability at large Ekman number e Ť Ek-1 Ť 1 and Ekman number O(l). These results are analyzed according to the geometrical properties of the packings of spheres: soild volume fraction, arrangement and size. Under particular conditions, we finally show that in the first approximation the flow through rotating granular media can be described by a modified Darcy's law including a "macroscopic Coriolis force" which brakes and deviates the flow.

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2005
• Tom: Vol. 27, nr 1-2
• Strony: 143--154
• Opis fizyczny: BIbliogr. 13 poz., wykr., rys.

Twórcy

autor

Sawicki E.

• Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France

autor

Geindreau C.

• Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France

autor

Auriault J.

• Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France

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