Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-27T06:44:40.180Z Has data issue: false hasContentIssue false
  • English
  • Français

The spreading of a liquid on a rough solid surface

Published online by Cambridge University Press:  20 April 2006

R. G. Cox
R. G. Cox
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The equilibrium configurations of a liquid spreading on a rough solid surface are derived by making expansions in terms of the characteristic slope ε of the surface roughness, which is assumed to be very small. It is also assumed that the microscopic contact angle is a constant and that the liquid–air interface is planar at large distances from the contact line. Expressions for the value of the macroscopic contact angle and a discussion of the existence of contact-angle hysteresis and of stick-jump behaviour of the contact line are given for (i) surfaces with parallel grooves, (ii) surfaces with periodicity in two perpendicular directions and (iii) general non-period surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 131 , June 1983 , pp. 1 - 26
Copyright
© 1983 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

Bascom, W. D., Cottington, R. L. & Singleterry, C. R. 1964 Adv. Chem. 43, 355.
Bikerman, J. J. 1950 J. Phys. Chem. 54, 653.
Dussan, V., E, B. 1979 Ann. Rev. Fluid Mech. 11, 371.
Dussan, V., E. B. & DAVIS, S. H. 1974 J. Fluid Mech. 65, 71.
Hocking, L. M. 1976 J. Fluid Mech. 76, 801.
Hocking, L. M. 1977 J. Fluid Mech. 79, 209.
Huh, C. & Mason, S. G. 1977a J. Colloid Interface Sci. 60, 11.
Huh, C. & Mason, S. G. 1977b J. Fluid Mech. 81, 401.
Johnson, E. R. & Dettre, R. H. 1964 Adv. Chem. 43, 112.
Oliver, J. F., Huh, C. & Mason, S. G. 1977 J. Adhesion 8, 223.
Oliver, J. F. & Mason, S. G. 1977 J. Colloid Interface Sci. 60, 480.
Parker, E. R. & SMOLUCHOWSKI, R. 1945 Trans. Am. Soc. Metals 35, 362.
Schwartz, A. M. 1980 J. Colloid Interface Sci. 75, 404.
Trillat, J. & Fritz, R. 1938 J. Chim. Phys. 35, 45.
Wenzel, R. N. 1936 Ind. Engng Chem. 28, 988.