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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
XIII Polish-French Colloquium: Soil and Rock Mechanics in Civil and Environmental Engineering, Wrocław, June 9-10, 2004
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
143--154
Opis fizyczny
BIbliogr. 13 poz., wykr., rys.
Twórcy
autor
- Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France
autor
- Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France
autor
- Laboratoire Sols, Solides, Structures Domaine Universitaire, BP53, 38041 Grenoble Cedex 9, France
Bibliografia
- [1] AURIAULT J.-L., Heterogeneous Medium. Is an Equivalent Description Possible? Int. J. Engng. Sci., 1991, 29, pp. 785–795.
- [2] AURIAULT J.-L., GEINDREAU C., ROYER P., Filtration law in rotating porous media, C. R. Acad. Sci. Paris, T. 328, Serie II b (2000), pp. 779–784.
- [3] AURIAULT J.-L., GEINDREAU C., ROYER P., Coriolis Effects on Filtration Law in Rotating Porous Media, Transport in Porous Media, 2002, 48, pp. 315–330.
- [4] BENSOUSSAN A., LIONS J.-L., PAPANICOLAOU G., Asymptotic Analysis for Periodic Structures, Amsterdam, North Holland, 1978.
- [5] DE GROOT S.R., MAZUR P., Non-Equilibrium Thermodynamics, North-Holland, Amsterdam, 1969.
- [6] FEMLAB, Reference Manual, Version 2.3. http://www.femlab.com, 2002.
- [7] GEINDREAU C., SAWICKI E., AURIAULT J.-L., ROYER P., About Darcy’s law in non-Galilean frame, Int. J. Numer. Anal. Meth. Geomech., 2004, 28, pp. 229–249.
- [8] GUBA P., On the finite-amplitude steady convection in rotating mushy layers, J. Fluid Mech., 2001, 437, pp. 337–365.
- [9] KHALIFA A., GARNIER J., THOMAS P., RAULT G., Scaling Laws of Water, Flow in Centrifuge Models, [in:] L.T.J. Garnier and E. Haza (eds.), International Symposium on Physical Modelling and Testing in Environmental Geotechnics, Paris, 2000, pp. 207–216.
- [10] SANCHEZ-PALENCIA E., Non-homogeneous media and vibration theory, [in:] Lectures Notes in Physics, Vol. 127, Berlin, Springer-Verlag, 1980.
- [11] SINGH D.N., GUPTA A.K., Modelling Hydraulic Conductivity in a Small Centrifuge, Can. Geotechn. J., 2000, 37, pp. 1150–1155.
- [12] VADASZ P., Flow in Rotating Porous Media, Chapt. 4, [in:] Fluid Transport in Porous Media, ed. Prieur du Plessis, Computational Mechanics Publication, Southampton, 1997, pp. 161–214.
- [13] VADASZ P., GOVENDER S., Stability and stationary convection induced by gravity and centrifugal forces in a rotating porous layer distant from the axis of rotation, Int. J. Engng. Sci., 2001, 39, pp. 715–732.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAR2-0004-0129