Singular nature of nonlinear macroscale effects in high-rate flow through porous mediaNature singulière des effets macroscopiques non linéaires dans un écoulement à hautes vitesses en milieux poreux |
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| Authors: | Mikhail Panfilov Constantin Oltean Irina Panfilova Michel Buès |
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| Institution: | 1. Laboratoire environnement, Géomécanique et ouvrages–ENSG–INPL, rue du Doyen Marcel Roubault, BP 40, 54501 Vandoeuvre-lès-Nancy, France;2. Lomonosov University, Mechanics/Mathematics Faculty, Leninskie Gory, Moscow, Russia |
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| Abstract: | The quadratic law of laminar flow through porous media at high Reynolds numbers, which is well confirmed by the multiple experimental data, is shown to give rise to three fundamental paradoxes. All them can be resolved by assuming the singular structure of flow. The singularity is produced by the formation of jet brunches which invade the stagnant zones and sharply loss their kinetic energy. The numerical simulation confirms this effect. To cite this article: M. Panfilov et al., C. R. Mecanique 331 (2003). |
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| Keywords: | Porous media Navier–Stokes Nonlinear correction Darcy's law Forchheimer Flow separation Streamlines Milieux poreux Navier–Stokes Correction non linéaire Loi de Darcy Forchheimer Séparation de l'écoulement Lignes de courant |
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