Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces

DOI10.1137/15M1038451zbMath1357.41031arXiv1609.07628MaRDI QIDQ3181068

Xianmin Xu

Publication date: 22 December 2016

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

Full work available at URL: https://arxiv.org/abs/1609.07628

zbMATH Keywords

homogenizationwettingrough surfaceCassie equationWenzel equation

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (5)

Analysis for wetting on rough surfaces by a three-dimensional phase field model ⋮ Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces ⋮ An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces ⋮ Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition ⋮ Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces

Cites Work

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• A dynamic theory for contact angle hysteresis on chemically rough boundary
• An efficient threshold dynamics method for wetting on rough surfaces
• Effective contact angle for rough boundary
• Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
• A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain
• Derivation of the Wenzel and Cassie Equations from a Phase Field Model for Two Phase Flow on Rough Surface
• Wetting of rough surfaces: a homogenization approach

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