# Wall laws for fluid flows at a boundary with random roughness

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00083222
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Submitted on : Thursday, June 29, 2006 - 7:31:10 PM
Last modification on : Thursday, March 17, 2022 - 10:08:16 AM
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### Citation

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

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