Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition
From MaRDI portal
Publication:5205883
DOI10.1137/18M1182115zbMath1459.76047OpenAlexW2995084227WikidataQ126580898 ScholiaQ126580898MaRDI QIDQ5205883
Xianmin Xu, Yinyu Zhao, Xiao-Ping Wang
Publication date: 17 December 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1182115
Capillarity (surface tension) for incompressible inviscid fluids (76B45) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Capillarity (surface tension) for incompressible viscous fluids (76D45)
Related Items
A second order accuracy preserving method for moving contact lines with Stokes flow ⋮ Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces ⋮ Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics ⋮ Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Capillary drops on a rough surface
- A dynamic theory for contact angle hysteresis on chemically rough boundary
- Quasistatic evolution of sessile drops and contact angle hysteresis
- Capillary drops: contact angle hysteresis and sticking drops
- Gradient theory of phase transitions with boundary contact energy
- An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Effective contact angle for rough boundary
- Analysis of the Cahn-Hilliard equation with a relaxation boundary condition modeling the contact angle dynamics
- A new model for contact angle hysteresis
- Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces
- Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces
- On the distinguished limits of the Navier slip model of the moving contact line problem
- Front migration in the nonlinear Cahn-Hilliard equation
- Moving contact line on chemically patterned surfaces
- Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model
- The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
- Phase transitions and generalized motion by mean curvature
- Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
- Moving Contact Lines: Scales, Regimes, and Dynamical Transitions
- Contact line dynamics on heterogeneous surfaces
