Derivation of the Wenzel and Cassie Equations from a Phase Field Model for Two Phase Flow on Rough Surface

DOI10.1137/090775828zbMath1222.41044OpenAlexW2083376718MaRDI QIDQ5392344

Xiao-Ping Wang, Xianmin Xu

Publication date: 8 April 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fee705c70aada64af9279bac326ba8dae8322880

zbMATH Keywords

homogenizationCassie equationWenzel equation

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Methods involving semicontinuity and convergence; relaxation (49J45) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (12)

An integral equation method for the Cahn-Hilliard equation in the wetting problem ⋮ A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain ⋮ Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces ⋮ Analysis for wetting on rough surfaces by a three-dimensional phase field model ⋮ Effective contact angle for rough boundary ⋮ Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction ⋮ An efficient finite element method for simulation of droplet spreading on a topologically rough surface ⋮ A new phase field method for the simulation of wetting on rough surfaces ⋮ Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics ⋮ Phase field modeling and simulation of three-phase flow on solid surfaces ⋮ A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions ⋮ Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces

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