Dynamics of driven liquid films on heterogeneous surfaces

Journal of Fluid Mechanics

Volumn 559, Issue , 2006, Pages 355-378

  Zhao, Y ^a   Marshall, J S ^a  

^a University of Iowa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTACT ANGLE; MATHEMATICAL MODELS; PRESSURE EFFECTS; SURFACE PROPERTIES;

HETEROGENEOUS SURFACES; LIQUID FILMS;

FLUID DYNAMICS;

CONTACT ANGLE; FLUID DYNAMICS; MATHEMATICAL MODELS; PRESSURE EFFECTS; SURFACE PROPERTIES;

FILM; FLUID DYNAMICS; NUMERICAL MODEL; SURFACE;

EID: 33746371695     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006000395     Document Type: Article

References (38)

1. Bertozzi, A. L. & Brenner, M. P. 1997 Linear stability and transient growth in driven contact lines. Phys. Fluids 9, 530-539.
2. de Bruyn, J. R. 1992 Growth of fingers at a driven three-phase contact line. Phys. Rev. A 46, R4500-R4503.
3. Cazabat, A. M., Heslot, F., Troian, S. M. & Carles, P. 1990 Fingering instability of thin spreading layers driven by temperature gradients. Nature 346, 824-826.
4. Davis, J. M. & Troian, S. M. 2003 On a generalized approach to the linear stability of spatially nonuniform thin film flows. Phys. Fluids 15, 1344-1347.
5. Davis, J. M. & Troian, S. M. 2004 Influence of boundary slip on the optimal excitations in thermocapillary driven spreading. Phys. Rev. E 70, 046309-1-046309-11.
6. Diez, J. A. & Kondic, L. 2001 Contact-line instabilities on thin liquid films. Phys. Rev. Lett. 86, 632-635.
7. Diez, J. A., Kondic, L. & Bertozzi, A. 2000 Global models for moving contact lines. Phys. Rev. E 63, 011208-1-011208-13.
8. Eres, M. H., Schwartz, L. W. & Roy, R. V. 2000 Fingering phenomena for driven coating layers. Phys. Fluids 12, 1278-1295.
9. Fraysse, N. & Homsy, G. M. 1994 An experimental study of rivulet instabilities in centrifugal spin coating of viscous Newtonian and non-Newtonian fluids. Phys. Fluids 6, 1491-1504.
10. Garnier, N., Grigoriev, R. O. & Schatz, M. F. 2003 Optical manipulation of microscale fluid flow. Phys. Rev. Lett. 91, 054501-1-054501-4.
11. de Gennes, P. G. 1985 Wetting: Statics and dynamics. Rev. Mod. Phys. 57, 827-863.
12. Golovin, A. A., Rubinstein, B. Y. & Pismen, L. M. 2001 Effect of van der Waals interactions on the fingering instability of thermally driven thin wetting films. Langmuir 17, 3930-3936.
13. Greenspan, H. P. 1978 On the motion of a small viscous droplet that wets a surface. J. Fluid Mech. 84, 125-143.
14. Grigoriev, R. O. 2003 Contact line instability and pattern selection in thermally driven liquid films. Phys. Fluids 15, 1363-1374.
15. Hocking, L. M., Debler, W. R. & Cook, K. E. 1999 The growth of leading-edge distortions on a viscous sheet. Phys. Fluids 11, 307-131.
16. Hoffman, R. L. 1975 A study of the advancing interface. Part 1. Interface shape in liquid-gas systems. J. Colloid Interface Sci. 50, 228-241.
17. Hu, Y. Z. & Tonder, K. 1992 Simulation of 3-D random rough surface by 2-D digital filter and Fourier analysis. Intl J. Machine Tools Manufact. 32, 83-90.
18. Huppert, H. E. 1982 Flow and instability of a viscous current down a slope. Nature 300, 427-429.
19. Johnson, M. F. G., Schluter, R. A., Miksis, M. J. & Bankoff, S. G. 1999 Experimental study of rivulet formation on an inclined plate by fluorescent imaging. J. Fluid Mech. 394, 339-354.
20. Kalliadasis, S. 2000 Nonlinear instability of a contact line driven by gravity. J. Fluid Mech. 413, 355-378.
21. Kataoka, D. E. & Troian, S. M. 1997 A theoretical study of instabilities at the advancing front of thermally driven coating layers. J. Colloid Interface Sci. 192, 350-362.
22. Kataoka, D. E. & Troian, S. M. 1999 Patterning liquid flow on the microscopic scale. Nature 402, 794-797.
23. Kondic, L. & Diez, J. 2001 Pattern formation in the flow of thin layers down an incline: Constant flux configuration. Phys. Fluids 13, 3168-3184.
24. Kondic, L. & Diez, J. 2002 Flow of thin films on patterned surfaces: controlling the instability. Phys. Rev. E 65, 045301-1-045301-4.
25. López, P. G., Miksis, M. J. & Bankoff, S. G. 1997 Inertial effects on contact line instability in the coating of a dry inclined plate. Phys. Fluids 9, 2177-2183.
26. Marshall, J. S. & Wang, S. 2005 Contact-line fingering and rivulet formation in the presence of surface contamination. Comput. Fluids 34, 664-683.
27. Melo, F., Joanny, J. F. & Fauve, S. 1989 Fingering instability of spinning drops. Phys. Rev. Lett. 63, 1958-1961.
28. Mohanty, K. K. 1981 Fluids in porous media: Two-phase distribution and flow. PhD dissertation, University of Minnesota.
29. Moyle, D. T., Chen, M.-S. & Homsy, G. M. 1999 Nonlinear rivulet dynamics during unstable wetting flows. Intl J. Multiphase Flow 25, 1243-1262.
30. Schwartz, L. W. 1998 Hysteric effects in droplet motions on heterogeneous substrates: Direct numerical simulation. Langmuir 14, 3440-3453.
31. Schwartz, L. W. & Eley, R. R. 1998 Simulation of droplet motion on low-energy and heterogeneous surfaces. J. Colloid Interface Sci. 202, 173-188.
32. Spaid, M. A. & Homsy, G. M. 1996 Stability of Newtonian and viscoelastic dynamic contact lines. Phys. Fluids 8, 460-477.
33. Tanner, L. H. 1979 The spreading of silicone oil drops on horizontal surfaces. J. Phys. D: Appl. Phys. 12, 1473-1484.
34. Thompson, B. E. & Marrochello, M. R. 1999 Rivulet formation in surface-water flow on an airfoil in rain. AIAA J. 37, 45-49.
35. Troian, S. M., Herbolzheimer, F., Safran, S. A. & Joanny, J. F. 1989 Fingering instabilities of driven spreading layers. Europhys. Lett. 10, 25-30.
36. Voinov, O. V. 1976 Hydrodynamics of wetting. Izv. Akad. Nauk SSSR, Mekh. Zhid. i Gaza 5, 76-81.
37. Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413-455.
38. Witelski, T. P. & Bowen, M. 2003 ADI schemes for higher-order nonlinear diffusion equations. Appl. Numer. Math. 45, 331-351.