L'équation de Navier–Stokes avec mémoire et le transfert de quantité de mouvement dans un milieu poreuxThe Navier–Stokes equation with memory,and momentum transfer in a porous medium |
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Authors: | Olivier Séro-Guillaume Didier Calogine |
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Institution: | LEMTA UMR CNRS 7563, 2, avenue de la forêt de Haye, 54504 Vandoeuvre les Nancy, France |
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Abstract: | This paper is concerned with the momentum transfer in a porous medium. The equations for the continuous equivalent medium are written by the averaging method but the closure is obtained using an extended thermodynamics. The resulting model corresponds to the Navier–Stokes equation, in which the force exerted by the solid matrix on the fluid satisfies of first order differential equation. This Navier–Stokes equation model with memory generalises the Darcy model with an integro-differential term. To cite this article: O. Séro-Guillaume, D. Calogine, C. R. Mecanique 330 (2002) 383–389. |
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Keywords: | mécanique des fluides milieux poreux Navier–Stokes avec mémoire E I T fluid mechanics porous media Navier–Stokes with memory T P I E |
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