Premium
Wall laws for fluid flows at a boundary with random roughness
Author(s) -
Basson Arnaud,
GérardVaret David
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20237
Subject(s) - mathematics , bounded function , surface finish , compressibility , domain (mathematical analysis) , flow (mathematics) , boundary (topology) , homogeneous , mathematical analysis , navier–stokes equations , vector field , incompressible flow , field (mathematics) , geometry , mechanics , physics , materials science , pure mathematics , combinatorics , composite material
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 ε. A mathematical analysis of the flow for small ε is performed. The Navier's wall law is rigorously deduced from this analysis. This substantially extends former results obtained in the case of periodic roughness, notably in [16, 17]. © 2007 Wiley Periodicals, Inc.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom