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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 14
  3. Journal of Mathematical Fluid Mechanics : Volume 14, Issue 2, June 2012
  4. The Uniform Rugosity Effect
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 14, Issue 4, December 2012
Journal of Mathematical Fluid Mechanics : Volume 14, Issue 3, September 2012
Journal of Mathematical Fluid Mechanics : Volume 14, Issue 2, June 2012
The Uniform Rugosity Effect
Heat Transfer in Incompressible Magnetic Fluid
Analyticity of the Free Surface for Periodic Travelling Capillary-Gravity Water Waves with Vorticity
Higher Regularity of Hölder Continuous Solutions of Parabolic Equations with Singular Drift Velocities
Modelling and Analysis of the Muskat Problem for Thin Fluid Layers
Long Time Behavior of Weak Solutions to Navier–Stokes–Poisson System
On the 3D Steady Flow of a Second Grade Fluid Past an Obstacle
Random Data Cauchy Theory for the Generalized Incompressible Navier–Stokes Equations
Modular Nonlinear Filter Stabilization of Methods for Higher Reynolds Numbers Flow
Well-Posedness of the Hydrostatic MHD Equations
Capillary Floating and the Billiard Ball Problem
Incompressible 3D Navier–Stokes Equations as a Limit of a Nonlinear Parabolic System
Journal of Mathematical Fluid Mechanics : Volume 14, Issue 1, March 2012
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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The Uniform Rugosity Effect

Content Provider SpringerLink
Author Bonnivard, Matthieu Bucur, Dorin
Copyright Year 2011
Abstract Relying on the effect of microscopic asperities, one can mathematically justify that viscous fluids adhere completely on the boundary of an impermeable domain. The rugosity effect accounts asymptotically for the transformation of complete slip boundary conditions on a rough surface in total adherence boundary conditions, as the amplitude of the rugosities vanishes. The decreasing rate (average velocity divided by the amplitude of the rugosities) computed on close flat layers is definitely influenced by the geometry. Recent results prove that this ratio has a uniform upper bound for certain geometries, like periodical and “almost Lipschitz” boundaries. The purpose of this paper is to prove that such a result holds for arbitrary (non-periodical) crystalline boundaries and general (non-smooth) periodical boundaries.
Ending Page 215
Page Count 15
Starting Page 201
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 2
Volume Number 14
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2011-03-29
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Mathematical Methods in Physics Boundary value problems for nonlinear higher-order equations Uniform decreasing of the velocity Fluid- and Aerodynamics Rugosity effect Non-periodic boundaries Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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