Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-19T11:02:04.048Z Has data issue: false hasContentIssue false
  • English
  • Français

The spreading of thin liquid films on a water-air interface

Published online by Cambridge University Press:  19 April 2006

M. Foda  and
R. G. Cox
M. Foda
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada Present address: Department of Civil Engineering, MIT., Cambridge, Mass., U.S.A.
R. G. Cox
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The spreading on a water–air interface of a thin liquid film is examined for the situation in which surface tension gradients drive the motion. A similarity solution is obtained numerically for unidirectional spreading when some general restrictions concerning the form of the liquid film constitutive relation is made. This solution gives the size of the film as a function of time and also the velocity and thickness distribution along the spreading film. Experiments are performed which show good agreement with the theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 1 , 13 November 1980 , pp. 33 - 51
Copyright
© 1980 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

Adamson, A. W. 1967 Physical Chemistry of Surfaces, cha. 3. Wiley-Interscience.
Crandall, S. H. 1956 Engineering Analysis, A Survey of Numerical Procedure, p. 246. McGraw-Hill.
Di Pietro, N. D. & Cox, R. G. 1979 Quart. J. Mech. Appl. Math. 32, 355.
Di Pietro, N. D. & Cox, R. G. 1980 J. Fluid Mech. 96, 611.
Di Pietro, N. D., Huh, C. & Cox, R. G. 1978 J. Fluid Mech. 84, 529.
Fay, J. A. 1969 The spread of oil slicks on a calm sea. In Oil on the Sea (ed. D. P. Hoult), pp. 53–63. Plenum.
Foda, M. A. & Cox, R. G. 1977 Dept. of Civil Engng, McGill Univ. Tech. Rep. no, 77–1 (FML).
Garrett, W. D. & Barger, W. R. 1970 Environ. Sci. Tech. 4, 123.
Goldstein, S. 1965 J. Fluid Mech. 21, 33.
Harkins, W. D. 1952 The Physical Chemistry of Surface Films. Reinhold.
Hestenes, M. R. & Stiefel, E. 1952 J. Res. Nat. Bureau of Standards, no. 2379.
Howarth, L. 1938 Proc. Roy. Soc. A 164, 547.
Huh, C., Inoue, M. & Mason, S. G. 1975 Can. J. Chem. Engng 53, 367.
Lee, R. A. S. 1971 A study of the surface tension controlled regime of oil spread. M.S. thesis (Mech. Engng), Massachusetts Institute of Technology.
Sakiadis, B. C. 1961 A.I.Ch.E. J. 7, 221.
Schlichting, H. 1960 Boundary Layer Theory. McGraw-Hill.
Sheludko, A. 1966 Colloid Chemistry, cha. 6. Elsevier.