Wall laws for fluid flows at a boundary with random roughness
Analysis of PDEs
2007-05-23 v1 Classical Physics
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 . A mathematical analysis of the flow for small is performed. The Navier's wall law is rigorously deduced from this analysis.
Cite
@article{arxiv.math/0606768,
title = {Wall laws for fluid flows at a boundary with random roughness},
author = {Arnaud Basson and David Gerard-Varet},
journal= {arXiv preprint arXiv:math/0606768},
year = {2007}
}