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Pendular rings between solids: meniscus properties and capillary force

Published online by Cambridge University Press:  29 March 2006

F. M. Orr ,
L. E. Scriven  and
A. P. Rivas
F. M. Orr
Affiliation:
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis
L. E. Scriven
Affiliation:
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis
A. P. Rivas
Affiliation:
Facultad de Ingenieria Quimica, Universidad Pontificia Bolivariana, Medellin, Columbia
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Abstract

The Laplace–Young equation is solved for axisymmetric menisci, analytically in terms of elliptic integrals for all possible types of pendular rings and liquid bridges when the effect of gravity is negligible, numerically for selected other cases in order to assess gravity's effect. Meniscus shapes, mean curvatures, areas and enclosed volumes are reported, as are capillary forces. It is shown that capillary attraction may become capillary repulsion when wetting is imperfect. The special configurations of vanishing capillary force and of zero mean curvature are treated. The range of utility of the convenient ‘circle approximation’ is evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 4 , 25 February 1975 , pp. 723 - 742
Copyright
© 1975 Cambridge University Press

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