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Pré-Publication, Document De Travail Année : 2006

Wall laws for fluid flows at a boundary with random roughness

Résumé

The general concern of this paper is the effect of rough boundaries on fluids. We consider a stationary flow, governed by incompressible Navier-Stokes equations, in an infinite domain bounded by two horizontal rough plates. The roughness is modeled by a spatially homogeneous random field, with characteristic size $\eps$. A mathematical analysis of the flow for small $\eps$ is performed. The Navier's wall law is rigorously deduced from this analysis.
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Dates et versions

hal-00083222 , version 1 (29-06-2006)

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Arnaud Basson, David Gerard-Varet. Wall laws for fluid flows at a boundary with random roughness. 2006. ⟨hal-00083222⟩
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