Crossref journal-article
Cambridge University Press (CUP)
Journal of Fluid Mechanics (56)
Abstract

The spreading of a drop of viscous fluid on a horizontal surface by capillarity has been studied by a number of authors. Different hypotheses have been advanced for the crucial questions of the contact angle at the moving rim of the drop. It is argued that there is one model that agrees with experiments and is economical in its hypotheses. On the basis of this model, the spreading rate is calculated for small static contact angles and for complete wetting (zero contact angle). The rates are also found when the spreading depends partially or dominantly on gravity.

Bibliography

Hocking, L. M. (1992). Rival contact-angle models and the spreading of drops. Journal of Fluid Mechanics, 239, 671–681.

Authors 1
  1. L. M. Hocking (first)
References 20 Referenced 105
  1. Cazabet, A. M. & Stuart, M. A. Cohen 1986 Dynamics of wetting: effects of surface roughness.J. Phys. Chem. 90,5845. (10.1021/j100280a075)
  2. Cox, R. G. :1986 The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow.J. Fluid Mech. 168,169. (10.1017/S0022112086000332)
  3. Goodwin, R. & Homsy, G. M. ,1991 Viscous flow down a slope in the vicinity of a contact line.Phys. Fluids A3,515. (10.1063/1.858113)
  4. Joanny, J. F. :1986 Dynamics of wetting: Interface profile of a spreading liquid.J. Méc. Théor. Appl. (numéro spécial) 249.
  5. Chen, J.-D. :1988 Experiments on a spreading drop and its contact angle on a solid.J. Colloid Interface Sci. 122,60. (10.1016/0021-9797(88)90287-1)
  6. Hocking, L. M. & Rivers, A. D. ,1982 The spreading of a drop by capillary action.J. Fluid Mech. 121,425. (10.1017/S0022112082001979)
  7. Hocking, L. M. :1983 The spreading of a thin drop by gravity and capillarity.Q. J. Mech. Appl. Maths 36,55. (10.1093/qjmam/36.1.55)
  8. Ehrhard, P. & Davis, S. H. ,1991 Non-isothermal spreading of liquid drops on horizontal plates.J. Fluid Mech. 229,365. (10.1017/S0022112091003063)
  9. Tanner, L. H. :1979 The spreading of silicone oil on horizontal surfaces.J. Phys. D: Appl. Phys. 12,1473. (10.1088/0022-3727/12/9/009)
  10. Hocking, L. M. :1981 Sliding and spreading of thin two-dimensional drops.Q. J. Mech. Appl. Maths 34,37. (10.1093/qjmam/34.1.37)
  11. Hoffman, R. L. :1975 A study of the advancing interface. I. Interface shape in liquid–gas systems.J. Colloid Interface Sci. 50,228. (10.1016/0021-9797(75)90225-8)
  12. Haley, P. J. & Miksis, M. J. ,1991 The effect of the contact line on droplet spreading.J. Fluid Mech. 223,57. (10.1017/S0022112091001337)
  13. Troian, S. M. , Herbolzheimer, E. , Safran, S. A. & Joanny, J. F. ,1989 Fingering instabilities of driven spreading films.Europhys. Lett. 10,25. (10.1209/0295-5075/10/1/005)
  14. Hocking, L. M. & Miksis, M. J. ,1991 Stability of a ridge of fluid.J. Fluid Mech. Submitted for publication.
  15. Dussan, V. E. B. :1976 The moving contact line: the slip boundary condition.J. Fluid Mech. 77,665. (10.1017/S0022112076002838)
  16. Hanson, R. J. & Toong, T. Y. ,1971 Dynamic contact angle and its relationship to forces of hydrodynamic origin.J. Colloid Interface Sci. 37,196. (10.1016/0021-9797(71)90280-3)
  17. Buckmaster, J. D. :1972 Pointed bubbles in slow viscous flow.J. Fluid Mech. 55,385. (10.1017/S0022112072001910)
  18. Greenspan, H. P. :1978 On the motion of a small viscous droplet that wets a surface.J. Fluid Mech. 84,125. (10.1017/S0022112078000075)
  19. Dussan, V. E. B. & Davis, S. H. 1974 On the motion of a fluid–fluid interface along a solid surface.J. Fluid Mech. 65,81. (10.1017/S0022112074001261)
  20. De Gennes, P. G. :1985 Wetting: statics and dynamics.Rev. Mod. Phys. 57,827. (10.1103/RevModPhys.57.827)
Dates
Type When
Created 19 years, 3 months ago (April 27, 2006, 5:28 a.m.)
Deposited 2 months ago (June 21, 2025, 3:52 a.m.)
Indexed 2 weeks, 4 days ago (Aug. 6, 2025, 9:59 a.m.)
Issued 33 years, 2 months ago (June 1, 1992)
Published 33 years, 2 months ago (June 1, 1992)
Published Online 19 years, 3 months ago (April 26, 2006)
Published Print 33 years, 2 months ago (June 1, 1992)
Funders 0

None

@article{Hocking_1992, title={Rival contact-angle models and the spreading of drops}, volume={239}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112092004579}, DOI={10.1017/s0022112092004579}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Hocking, L. M.}, year={1992}, month=jun, pages={671–681} }