Wall laws for fluid flows at a boundary with random roughness
type: Dataset
contact point: Organization
  fn: CCSD
keyword: 35q70
keyword: physmecameflphysics-physicsmechanics-physicsfluid-mechanics-physicsclass-ph
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: wall-laws
keyword: spimecameflengineering-sciences-physicsmechanics-physicsmed-phfluids-mechanics-physicsc
keyword: infoeu-reposemanticspreprint
keyword: boundary-layers
keyword: preprints-working-papers-
keyword: naviers-law
landing page: https://hal.science/hal-00083222
description: 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.
issued: 2026-05-10T19:15:11.118317
language: en
modified: 2026-05-10T19:15:11.118321

test_moissonnage_selune
type: Agent

Wall laws for fluid flows at a boundary with random roughness
type: Distribution
access URL: https://hal.science/hal-00083222
format: HTML
issued: 2026-05-10T19:15:11.120388
modified: 2026-05-10T19:15:11.105307