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Article Dans Une Revue Journal of Mathematical Fluid Mechanics Année : 2012

The Uniform Rugosity Effect

Résumé

Relying on the effect of microscopic asperities, one can mathematically justify that viscous fluids adhere completely on the boundary of an impermeable domain. The ru-gosity effect accounts asymptotically for the transformation of complete slip boundary conditions on a rough surface in total adherence boundary conditions, as the amplitude of the rugosities vanishes. The decreasing rate (average velocity divided by the amplitude of the rugosities) computed on close flat layers is definitely influenced by the geometry. Recent results prove that this ratio has a uniform upper bound for certain geometries, like periodical and " almost Lipschitz " boundaries. The purpose of this paper is to prove that such a result holds for arbitrary (non-periodical) crystalline boundaries and general (non-smooth) periodical boundaries.
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Dates et versions

hal-01471639 , version 1 (20-02-2017)

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Matthieu Bonnivard, Dorin Bucur. The Uniform Rugosity Effect. Journal of Mathematical Fluid Mechanics, 2012, 14, pp.201 - 215. ⟨10.1007/s00021-011-0052-3⟩. ⟨hal-01471639⟩
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