Continuum models for the contact line problem

Keywords

Physics, Wetting, Boundary value problem, Continuum hypothesis, Scaling

References

• Capillary Flows with Forming InterfacesYulii D. Shikhmurzaev — 2007
• A general boundary condition for liquid flow at solid surfacesPeter A. Thompson, Sandra M. Troian — 1997
• Ceramics: Tough cookeryDerek P. Thompson — 1997
• Hydrodynamics of wettingO. V. Voinov — 1976
• Molecular scale contact line hydrodynamics of immiscible flows.Tiezheng Qian, Xiaoping Wang, Ping Sheng — 2002
• Stability of Newtonian and viscoelastic dynamic contact linesMichael Spaid, G. M. Homsy — 1996
• Experimental Evidence of Several Time Scales in Drop SpreadingMichel J. de Ruijter, Magali Charlot, M. Voué — 2000
• The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flowR. G. Cox — 1986
• Selective attachment and spreading of hydroxamic acid–alcohol collector mixtures in phosphate flotationXuming Wang, Anh V. Nguyen, Jan D. Miller — 2006
• Rival contact-angle models and the spreading of dropsL. M. Hocking — 1992
• Dynamics of a fluid interface Equation of motion for Newtonian surface fluidsL. E. Scriven — 1960
• Molecular dynamics of Poiseuille flow and moving contact lines.Joel Koplik, Jayanth R. Banavar, Jorge F. Willemsen — 1988
• Dynamics of partial wettingF. Brochard‐Wyart, P. G. de Gennes — 1992
• Shear flow near solids: Epitaxial order and flow boundary conditions.Peter A. Thompson, Mark O. Robbins — 1990
• Simulations of contact-line motion: Slip and the dynamic contact angle.Peter A. Thompson, Mark O. Robbins — 1989
• Immiscible-fluid displacement: Contact-line dynamics and the velocity-dependent capillary pressure.Ping Sheng, Minyao Zhou — 1992
• Moving contact lines in liquid/liquid/solid systemsYulii D. Shikhmurzaev — 1997
• SLIDING AND SPREADING OF THIN TWO-DIMENSIONAL DROPSL. M. Hocking — 1981
• Equilibrium configurations of liquid droplets on solid surfaces under the influence of thin-film forces Part I. ThermodynamicsErh-Chia Yeh, John Newman, Clayton J. Radke — 1999
• Second-order integrators for Langevin equations with holonomic constraintsEric Vanden‐Eijnden, Giovanni Ciccotti — 2006

Cited by

• Spectral Accuracy in Fast Ewald Methods and Topics in Fluid Interface SimulationDag Lindbo — 2011
• Capillarity and dynamic wettingAndreas Carlson — 2012
• Multiscale modeling of capillary-driven contact line dynamicsMartin Kronbichler, Claudio Walker, Gunilla Kreiss — 2011
• Well-Posedness for a Class of Thin-Film Equations with General Mobility in the Regime of Partial WettingHans Knüpfer — 2015
• Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s lawLorenzo Giacomelli, Manuel V. Gnann, Félix Otto — 2016
• On a Free Boundary Problem for the Curvature Flow with Driving ForceJong‐Shenq Guo, Hiroshi Matano, Masahiko Shimojō — 2016
• A hybrid level-set-phase-field method for two-phase flow with contact linesMartin Kronbichler, Gunilla Kreiss — 2011
• Forced wetting and hydrodynamic assistT. D. Blake, Juan-Carlos Fernandez-Toledano, Guillaume Doyen — 2015
• Continuous Deposition of a Liquid Thread onto a Moving Substrate. Numerical Analysis and Comparison With ExperimentsSebastián Ubal, Bojun Xu, Brian Derby — 2012
• Nanoparticle-tuned spreading behavior of nanofluid droplets on the solid substrateYingqi Li, Fengchao Wang, He Liu — 2015
• An explicit Eulerian method for multiphase flow with contact line dynamics and insoluble surfactantLudvig af Klinteberg, Dag Lindbo, Anna‐Karin Tornberg — 2014
• On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes systemMartin Heida — 2013
• Contact line dynamics on heterogeneous surfacesWeiqing Ren, E Weinan — 2011
• Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactantsZhen Zhang, Shixin Xu, Weiqing Ren — 2014
• A level-set method for two-phase flows with moving contact line and insoluble surfactantJianjun Xu, Weiqing Ren — 2014
• Phase-field simulation of impingement and spreading of micro-sized droplet on heterogeneous surfaceChun Yee Lim, Yee Cheong Lam — 2014
• Three Numerical Simulation Methods on Dynamic Free Surface Deformation Simulation of a Sessile DropChaoyue Chen, Zuo Sheng Lei, Xiao Jin — 2012
• Numerical simulation of drop oscillation in AC electrowettingXiaoliang Li, Guowei He, Xing Zhang — 2013
• Multiscale dynamic wetting of a droplet on a lyophilic pillar-arrayed surfaceQuanzi Yuan, Ya‐Pu Zhao — 2013
• Darcy’s Flow with Prescribed Contact Angle: Well-Posedness and Lubrication ApproximationHans Knüpfer, Nader Masmoudi — 2012

Related papers

• Study of Contact Angle Hysteresis. In Relation to Boiling Surface Wettability.Masahiro Shoji, Xiao Yi Zhang — 1992
• Counteracting Interfacial Energetics for Wetting of Hydrophobic Surfaces in the Presence of SurfactantsBijoyendra Bera, Odile Carrier, Ellen H. G. Backus — 2018
• Wetting of real solid surfaces: new glance on well-known problemsEdward Bormashenko — 2013
• Influence of RF-Plasma Pretreatment on Wettability of Medical Stainless SteelChangsheng Liu — 2005
• Measurement of the Equilibrium Contact Angle of Wetting as a Method of Studying the State of the Surface Energy at the Solid–Liquid–Gas InterfaceV. M. Gasanov — 2014
• Wetting and evaporation behaviors of water–ethanol sessile drops on PTFE surfacesLaixin Shi, Ping Shen, Dan Zhang — 2009