Contact line dynamics on heterogeneous surfaces

Physics of Fluids

Volumn 23, Issue 7, 2011, Pages

  Ren, Weiqing ^a   Weinan, E ^b  

^a NEW YORK UNIVERSITY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTACT ANGLE; HYSTERESIS; SLIP FORMING; STICK-SLIP;

CONTACT ANGLE HYSTERESIS; CONTACT LINE MOTION; CONTACT-LINE DYNAMICS; FRICTION COEFFICIENTS; HETEROGENEOUS SURFACE; HYSTERETIC BEHAVIOR; MICROSCALE DYNAMICS; STICK-SLIP BEHAVIOR;

SPEED;

EID: 79960895593     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3609817     Document Type: Article

References (24)

1. Johnson R.E. Dettre R.H. Contact angle hysteresis I. Study of an idealized rough surface. Adv. Chem. 1964, 43:112. 10.1021/ba-1964-0043
2. Huh C. Mason S.G. Effects of surface roughness on wetting (theoretical). J. Colloid Interface Sci. 1977, 60:11. 10.1016/0021-9797(77)90251-X
3. Cox R.G. The spreading of a liquid on a rough solid surface. J. Fluid Mech. 1983, 131:1. 10.1017/S0022112083001214.
4. Joanny J.F. de Gennes P.G. A model for contact angle hysteresis. J. Chem. Phys. 1984, 81:552. 10.1063/1.447337
5. Rapha ë l E. de Gennes P.G. Dynamics of wetting with nonideal surfaces. The single defect problem. J. Chem. Phys. 1989, 90:7577. 10.1063/1.456191
6. Joanny J.F. Robbins M.O. Motion of a contact line on a heterogeneous surface. J. Chem. Phys. 1990, 92:3206. 10.1063/1.458579
7. Ren W. E W. Continuum models for the contact line problem. Phys. Fluids 2010, 22:102103. 10.1063/1.3501317
8. Ren W. E W. Derivation of continuum models for the moving contact line problem based on thermodynamic principles. Communications in Mathematical Sciences 2011, 9:597. ISSN: 1539-6746.
9. Huh C. Scriven L.E. Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 1971, 35:85. 10.1016/0021-9797(71)90188-3
10. Dussan V. E.B. Davis S.H. On the motion of a fluid-fluid interface along a solid surface. J. Fluid Mech. 1974, 65:71. 10.1017/S0022112074001261
11. Dussan V. E.B. On the spreading of liquids on solid surfaces: static and dynamic contact lines. Annu. Rev. Fluid Mech. 1979, 11:371. 10.1146/annurev.fl.11.010179.002103.
12. de Gennes P.G. Wetting: Statics and dynamics. Rev. Mod. Phys. 1985, 57:827. 10.1103/RevModPhys.57.827.
13. Blake T.D. The physics of moving wetting lines. J. Colloid Interface Sci. 2006, 299:1. 10.1016/j.jcis.2006.03.051.
14. Qian T. Wang X.P. Sheng P. Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Communications in Computational Physics 2006, 1:1. ISSN: 1815-2406.
15. Bonn D. Eggers J. Indekeu J. Meunier J. Rolley E. Wetting and spreading. Rev. Mod. Phys. 2009, 81:739. 10.1103/RevModPhys.81.739
16. de Gennes P.-G. Brochard-Wyart F. Quéré D. Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves 2003, and (Springer, New York).
17. Starov V.M. Velarde M.G. Radke C.J. Wetting and Spreading Dynamics 2007, and (CRC, Boca Raton).
18. Shikhmurzaev Y.D. Capillary Flows with Forming Interfaces 2008, (Chapman & Hall/CRC, Bota Raton).
19. Ren W. E W. Boundary conditions for moving contact line problem. Phys. Fluids 2007, 19:022101. 10.1063/1.2646754
20. Osher S. Fedkiw R. Level Set Methods and Dynamic Implicit Surfaces 2002, (Springer-Verlag, New York), ISBN: 0-387-95482-1.
21. Sethian J.A. Level Set Methods and Fast Marching Methods 1999, (Cambridge University Press, Cambridge).
22. Jiang G.-S. Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 1996, 126:202. 10.1006/jcph.1996.0130
23. Chorin A.J. Numerical solution of the Navier-Stokes equations. Math. Comput. 1968, 22:745. 10.1090/S0025-5718-1968-0242392-2.
24. Wang X.P. Qian T. Sheng P. Moving contact line on chemically patterned surfaces. J. Fluid Mech. 2008, 605:59. 10.1017/S0022112008001456