Roughness-Induced Effect at Main Order on the Reynolds Approximation

DOI10.1137/090754996zbMath1197.35190OpenAlexW2021871259MaRDI QIDQ2786362

Laurent Chupin, Thierry Colin, Catherine Choquet, Marguerite Gisclon, Bresch, Didier

Publication date: 22 September 2010

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/14710c78f131e3f687e2017703833f86eb9a91a8

zbMATH Keywords

homogenizationthin filmstwo-scale convergencerough boundariesmicrofluidicStokes and Reynolds equations

Mathematics Subject Classification ID

Thin fluid films (76A20) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (12)

Analysis of the thin film flow in a rough domain filled with micropolar fluid ⋮ A Decomposition Result for the Pressure of a Fluid in a Thin Domain and Extensions to Elasticity Problems ⋮ A note on the MHD flow in a porous channel ⋮ Reaction of the fluid flow on time-dependent boundary perturbation ⋮ A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary ⋮ Analysis of the roughness regimes for micropolar fluids via homogenization ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary ⋮ Effects of small boundary perturbation on the MHD duct flow ⋮ An optimal control problem in a tubular thin domain with rough boundary ⋮ MHD flow through a perturbed channel filled with a porous medium ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

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