Computation of the effective slip of rough hydrophobic surfaces via homogenization

DOI10.1142/S0218202514500201zbMath1304.35057arXiv1301.4067OpenAlexW2115102574MaRDI QIDQ2920913

Matthieu Bonnivard, David Gérard-Varet, Anne-Laure Dalibard

Publication date: 29 September 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4067

zbMATH Keywords

homogenisationdomain with small holeseffective slipDirchlet-to-Neumann mapWall laws

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (2)

From adherence to slip in nanofluidics: a mathematical justification based on a drop of viscosity -- the scalar case ⋮ Boundary Layer for a Non-Newtonian Flow Over a Rough Surface

Cites Work

• Effective boundary condition at a rough surface starting from a slip condition
• Effective boundary conditions for laminar flows over periodic rough boundaries
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• Flows satisfying mixed no-slip and no-shear conditions
• Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Wall laws for viscous fluids near rough surfaces
• Wall laws for fluid flows at a boundary with random roughness
• Lagrange Multiplier Approach to Variational Problems and Applications
• Finite Element Methods for Navier-Stokes Equations
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries
• On the roughness-induced effective boundary conditions for an incompressible viscous flow

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