The rate of spreading in spin coating

Journal of Fluid Mechanics

Volumn 413, Issue , 2000, Pages 65-88

  Wilson, S K ^a   Hunt, R ^a   Duffy, B R ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COATING; NEWTONIAN FLUID; SPREADING RATE;

EID: 0033942607     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112000008089     Document Type: Article

References (33)

1. ANDERSON, D. M. & DAVIS, S. H. 1995 The spreading of volatile liquid droplets on heated surfaces. Phys. Fluids 7, 248-265.
2. BERTOZZI, A. L. & BRENNER, M. P. 1997 Linear stability and transient growth in driven contact lines. Phys. Fluids 9, 530-539.
3. BRAUN, R. J., MURRAY, B. T., BOETTINGER, W. J. & MCFADDEN, G. B. 1995 Lubrication theory for reactive spreading of a thin drop. Phys. Fluids 7, 1797-1810.
4. BRENNER, M. P. 1993 Instability mechanism at driven contact lines. Phys. Rev. E 47, 4597-4599.
5. DUFFY, B. R. & WILSON, S. K. 1997 A third-order differential equation arising in thin-film flows and relevant to Tanner's law. Appl. Math. Lett. 10, 63-68.
6. EMSLIE, A. G., BONNER, F. T. & PECK, L. G. 1958 Flow of a viscous liquid on a rotating disk. J. Appl. Phys. 29, 858-862.
7. EHRHARD, P. 1994 The spreading of hanging drops. J. Colloid Interface Sci 168, 242-246.
8. EHRHARD, P. & DAVIS, S. H. 1991 Non-isothermal spreading of liquid drops on horizontal plates. J. Fluid Mech. 229, 365-388.
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 (referred to herein as FH).
10. GREENSPAN, H. P. 1978 On the motion of a small viscous droplet that wets a surface. J. Fluid Mech. 84, 125-143.
11. HOCKING, L. M. 1983 The spreading of a thin drop by gravity and capillarity. Q. J. Mech. Appl. Maths 36, 55-69.
12. HOCKING, L. M. 1992 Rival contact-angle models and the spreading of drops. J. Fluid Mech. 239, 671-681.
13. HOCKING, L. M. 1994 The spreading of drops with intermolecular forces. Phys. Fluids 6, 3224-3228.
14. HUPPERT, H. E. 1982 Flow and instability of a viscous current down a slope. Nature 300, 427-429.
15. LARSON, R. G. & REHG, T. G. 1997 Spin coating. In Liquid Film Coating (ed. S. F. Kistler & P. M. Schweizer), pp. 709-734. Chapman Hall.
16. LÓPEZ, P. G., BANKOFF, S. G. & MIKSIS, M. J. 1996 Non-isothermal spreading of a thin liquid film on an inclined plane. J. Fluid Mech. 324, 261-286.
17. LÓPEZ, P. G., MIKSIS, M. J. & BANKOFF, S. G. 1997a Stability and evolution of a dry spot. Northwestern University Applied Mathematics Tech. Rep. 9605 (July 1997).
18. LÓPEZ, P. G., MIKSIS, M. J. & BANKOFF, S. G. 1997b Inertial effects on contact line instability in the coating of a dry inclined plate. Phys. Fluids 9, 2177-2183.
19. MCKINLEY, I. S., WILSON, S. K. & DUFFY, B. R. 1999 Spin coating and air-jet blowing of thin viscous drops. Phys. Fluids 11, 30-47.
20. MELO, F., JOANNY, J. F. & FAUVE, S. 1989 Fingering instability of spinning drops. Phys. Rev. Lett. 63, 1958-1961.
21. MOMONIAT, E. & MASON, D. P. 1998 Investigation of the effect of the Coriolis force on a thin fluid film on a rotating disk. Intl J. Non-Linear Mech. 33, 1069-1088.
22. MORIARTY, J. A., SCHWARTZ, L. W. & TUCK, E. O. 1991 Unsteady spreading of thin liquid films with small surface tension. Phys. Fluids A 3, 733-742.
23. ORON, A., DAVIS, S. H. & BANKOFF, S. G. 1997 Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69, 931-980.
24. SHIKHMURZAEV, Y. D. 1997a Moving contact lines in liquid/liquid/solid systems. J. Fluid Mech. 334, 211-249.
25. SHIKHMURZAEV, Y. D. 1997b Spreading of drops on solid surfaces in a quasi-static regime. Phys. Fluids 9, 266-275.
26. SPAID, M. A. & HOMSY, G. M. 1996 Stability of Newtonian and viscoelastic dynamic contact lines. Phys. Fluids 8, 460-478.
27. SPAID, M. A. & HOMSY, G. M. 1997 Stability of viscoelastic dynamic contact lines: an experimental study. Phys. Fluids 9, 823-832 (referred to herein as SH).
28. TROIAN, S. M., HERBOLZHEIMER, E., SAFRAN, S. A. & JOANNY, J. F. 1989 Fingering instabilities of driven spreading films. Europhys. Lett. 10, 25-30.
29. Tu, Y.-O 1987 Contact line slippage of fluid flow on a rotating disk. J. Colloid Interface Sci. 116, 237-240.
30. WILSON, S. K. & DUFFY, B. R. 1998 On the gravity-driven draining of a rivulet of viscous fluid down a slowly varying substrate with variation transverse to the direction of flow. Phys. Fluids 10, 13-22.
31. WILSON, S. K. & TERRIL, E. L. 1996 The dynamics of planar and axisymmetric holes in thin fluid layers. In First European Symposium on The Mechanics of Thin Film Coatings, Leeds University, 19-22 September 1995 (ed. P. H. Gaskell, M. D. Savage & J. L. Summers), pp. 288-297. World Scientific.
32. YANAGISAWA, M. 1987 Slip effect for thin liquid film on a rotating disk. J. Appl. Phys. 61, 1034-1037.
33. YOUNG, G. W. 1994 Mathematical description of viscous free surface flows. In Free Boundaries in Viscous Flows (ed. R. A. Brown & S. H. Davis), pp. 1-27. Springer.