Hostname: page-component-7479d7b7d-q6k6v Total loading time: 0 Render date: 2024-07-10T19:22:48.942Z Has data issue: false hasContentIssue false
  • English
  • Français

Moving contact lines on a two-dimensional rough surface

Published online by Cambridge University Press:  20 April 2006

Kalvis M. Jansons
Kalvis M. Jansons
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
Get access Rights & Permissions [Opens in a new window]

Abstract

The dynamic contact angle for a contact line moving over a solid surface with random sparse spots of roughness is determined theoretically in the limit of zero capillary number. The model exhibits many of the observed characteristics of moving contact lines on real rough surfaces, including contact-angle hysteresis and stick-slip. Several types of rough surface are considered, and a comparison is made between periodic and random rough surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 1 - 28
Copyright
© 1985 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1968 Handbook of Mathematical Functions. Dover.
Batchelor, G. K. 1971 The stress generated in a non-dilute suspension of elongated particles by pure straining motion. J. Fluid Mech. 46, 813.Google Scholar
Bayramli, E. & Mason, S. G. 1981 Tensiometric studies on wetting. II. Some effects of surface roughness (experimental). Can. J. Chem. 59, 1962.Google Scholar
Bayramli, E., van de Ven, T. G. M. & Mason, S. G. 1981 Tensiometric studies on wetting. I. Some effects of surface roughness (theoretical). Can. J. Chem. 59, 1954.Google Scholar
Cox, R. G. 1983 The spreading of a liquid on a rough solid surface. J. Fluid Mech. 131, 1.Google Scholar
Dussan, V., E, B. 1979 On the spreading of liquids on solid surfaces: static and dynamic contact lines. Ann. Rev. Fluid Mech. 11, 371.Google Scholar
Huh, C. & Mason, S. G. 1977 Effects of surface roughness on wetting (theoretical). J. Coll. Sci. 60, 11.Google Scholar
Jansons, K. M. 1985 Moving contact lines at non-zero capillary number. Submitted to J. Fluid Mech.Google Scholar
Vennard, J. K. & Street, R. L. 1975 Elementary Fluid Mechanics. Wiley.
Wenzel, R. N. 1949 J. Phys. Colloid. Chem. 53, 1466.
White, L. R. 1976 On deviations from Young's equation. J. Chem. Soc. Faraday Trans. I 73, 390.Google Scholar