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 NavierStokes 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606768
 Bibcode:
 2006math......6768B
 Keywords:

 Mathematics  Analysis of PDEs;
 Physics  Classical Physics;
 35Q70