Mathematical modeling and numerical computation of the effective interfacial conditions for Stokes flow on an arbitrarily rough solid surface

DOI10.1007/s10483-021-2733-9zbMath1480.76094OpenAlexW3162673391MaRDI QIDQ825375

N. E. Zubov

Publication date: 17 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-021-2733-9

zbMATH Keywords

boundary element methodmethod of fundamental solutionsstokesleteffective slip lengthhomogenized fluid-solid interfacemicro-channel flow

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Homogenization applied to problems in fluid mechanics (76M50) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Related Items (1)

Marangoni stability of a thin liquid film falling down above or below an inclined thick wall with slip

Cites Work

• Boundary integral solutions of coupled Stokes and Darcy flows
• Effective interfacial conditions for the Stokes flow of a fluid on periodically rough surfaces
• Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
• The method of fundamental solutions for 2D and 3D Stokes problems
• Does a representative volume element exist for fatigue life prediction? The case of aggregate composites
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• Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow
• Effective slip in pressure-driven flow past super-hydrophobic stripes
• Boundary Integral and Singularity Methods for Linearized Viscous Flow
• Effective slip in pressure-driven Stokes flow
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
• Effective slip for Stokes flow over a surface patterned with two- or three-dimensional protrusions
• Stokes shear flow over a grating: Implications for superhydrophobic slip
• The effective slip length and vortex formation in laminar flow over a rough surface
• Microchannel flows with superhydrophobic surfaces: Effects of Reynolds number and pattern width to channel height ratio
• Influence of periodic wall roughness on the slip behaviour at liquid/solid interfaces: molecular-scale simulations versus continuum predictions

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