Abstract
The condition of internal mechanical equilibrium of a curved surface layer is derived, and its application to practically important cases of incomplete formation of the surface layer (as is sometimes the case, for example, in thin films) is considered. The notion of a local disjoining pressure is introduced, and the equilibrium condition for a variable-thickness thin film is obtained; this condition is valid both in the absence and in the presence of external fields. The cases of a wedge-shaped film, cylindrical film, spherical film, and transition zone of a wetting film are analyzed.
Similar content being viewed by others
REFERENCES
Rusanov, A.I. and Shchekin, A.K., Kolloidn. Zh., 1999, vol. 61, no.4, p. 437.
Rusanov, A.I., Shchekin, A.K., and Varshavskii, V.B., Kolloidn. Zh., 2001, vol. 63, no.3, p. 401.
Rusanov, A.I. and Shchekin, A.K., Kolloidn. Zh., 2002, vol. 64, no.2, p. 209.
Rusanov, A.I., Fazovye ravnovesiya i poverkhnostnye yavleniya (Phase Equilibria and Surface Phenomena), Leningrad: Khimiya, 1967.
Rusanov, A.I., Poverkhnostnye sily i granichnye sloi zhidkostei (Surface Forces and Boundary Layers of Liquids), Derjaguin, B.V., Ed., Moscow: Nauka, 1983.
Eriksson, J.C., Ark. Kemi, 1966, vol. 25, no.32, p. 331.
Derjaguin, B.V., Kolloidn. Zh., 1955, vol. 17, no.3, p. 207.
De Feijter, J.A. and Vrij, A., Electroanal. Chem. Interfac. Electrochem., 1972, vol. 37, no.1, p. 9.
Derjaguin, B.V., Starov, V.M., and Churaev, N.V., Kolloidn. Zh., 1976, vol. 38, no.5, p. 875.
Toshev, B.V., Colloids Surf., 1981, vol. 2, p. 243.
Churaev, N.V., Starov, V.M., and Derjaguin, B.V., J. Colloid Interface Sci., 1982, vol. 89, no.1, p. 16.
Eriksson, J.C. and Toshev, B.V., Colloid Polym. Sci., 1986, vol. 264, p. 807.
Babak, V.G., Usp. Khim., 1993, vol. 62, no.8, p. 747.
Babak, V.G., Colloids Surf., 1999, vol. 156, p. 423.
Babak, V.G., Colloids Surf., 1987, vol. 25, no.1, p. 1.
Solomentsev, Yu. and White, L.R., J. Colloid Interface Sci., 1999, vol. 218, no.1, p. 122.
Author information
Authors and Affiliations
Additional information
__________
Translated from Kolloidnyi Zhurnal, Vol. 67, No. 2, 2005, pp. 235–242.
Original Russian Text Copyright © 2005 by Rusanov, Shchekin.
Rights and permissions
About this article
Cite this article
Rusanov, A.I., Shchekin, A.K. The condition of mechanical equilibrium on the surface of a nonuniform thin film. Colloid J 67, 205–212 (2005). https://doi.org/10.1007/s10595-005-0082-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10595-005-0082-8