Free-surface flows with large slopes: Beyond lubrication theory

Physics of Fluids

Volumn 18, Issue 2, 2006, Pages

  Snoeijer, Jacco H ^a  

^a CNRS   (France)

Author keywords

Capillarity; External flows; Film flow; Lubrication; Two phase flow

Indexed keywords

CAPILLARITY; CAPILLARY FLOW; CONTACTS (FLUID MECHANICS); PERTURBATION TECHNIQUES; TWO PHASE FLOW;

COX-VOINOV ASYMPTOTIC SOLUTION; EXTERNAL FLOWS; FILM FLOW; LIQUID-GAS INTERFACE; STOKES FLOW;

LUBRICATION;

CAPILLARITY; CAPILLARY FLOW; CONTACTS (FLUID MECHANICS); LUBRICATION; PERTURBATION TECHNIQUES; TWO PHASE FLOW;

EID: 33644602289     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2171190     Document Type: Article

References (19)

1. S. F. Kistler and P. Schweizer, Liquid Film Coating-Scientific Principles and Their Technological Implications (Kluwer, Dordrecht, 1997).
2. A. Oron, S. H. Davis, and S. G. Bankoff, "Long-scale evolution of thin liquid films," Rev. Mod. Phys. RMPHAT0034-686110.1103/ RevModPhys.69.931 69, 931 (1997).
3. H. E. Huppert, "Flow and instability of a viscous gravity current down a slope," Nature (London) NATUAS0028-083610.1038/300427a0 300, 427 (1982).
4. R. Goodwin and G. M. Homsy, "Viscous flow down a slope in the vicinity of a contact line," Phys. Fluids A PFADEB0899-821310.1063/ 1.858113 3, 515 (1991).
5. N. Garnier, R. O. Grigoriev, and M. F. Schatz, "Optical manipulation of microscale fluid flow," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.91.054501 91, 054501 (2003).
6. J. Eggers, "Nonlinear dynamics and breakup of free-surface flows," Rev. Mod. Phys. RMPHAT0034-686110.1103/RevModPhys.69.865 69, 865 (1997).
7. I. Cohen and S. R. Nagel, "Scaling at a selective withdrawal transition through a tube suspended above the fluid surface," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.88.074501 88, 074501 (2002).
8. O. Reynolds, "On the theory of lubrication and its application to Mr. Beauchamp Tower's experiments, including an experimental determination of the viscosity of olive oil," Philos. Trans. R. Soc. London PTRSAV0370-2316 177, 157 (1886).
9. D. J. Benney, "Long waves on liquid films," J. Math. Phys. JMAPAQ0022-2488 45, 150 (1966).
10. C. Huh and L. E. Shriven, "Hydrodynamic model of steady movement of a solid/liquid/fluid contact line," J. Colloid Interface Sci. JCISA50021-979710.1016/0021-9797(71)90188-3 35, 85 (1971).
11. E. B. Dussan, V. Davis, and S. H. Davis, "On the motion of a fluid-fluid interface along a solid surface," J. Fluid Mech. JFLSA70022-1120 65, 71 (1974).
12. O. V. Voinov, "Hydrodynamics of wetting," Fluid Dyn. FLDYAH0015-4628 11, 714 (1976).
13. R. G. Cox, "The dynamics of the spreading of liquids on a solid surface," J. Fluid Mech. JFLSA70022-1120 168, 169 (1986).
14. J. Eggers, "Toward a description of contact line motion at higher capillary numbers," Phys. Fluids PHFLE61070-663110.1063/1.1776071 16, 3491 (2004).
15. T. D. Blake, J. De Coninck, and U. D'Ortuna, "Models of wetting: Immiscible lattice Boltzmann automata versus molecular kinetic theory," Langmuir LANGD50743-746310.1021/la00011a065 11, 4588 (1995).
16. L. M. Pismen and Y. Pomeau, "Disjoining potential and spreading of thin liquid layers in the diffuse-interface model coupled to hydrodynamics," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.62.2480 62, 2480 (2000).
17. L. D. Landau and E. M. Lifschitz, Fluid Mechanics (Pergamon, London, 1959).
18. L. M. Hocking, "Meniscus draw-up and draining," Eur. J. Appl. Math. 12, 195 (2001).
19. 0.