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On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. Part 2. Small drops or bubbles having contact angles of arbitrary size

Published online by Cambridge University Press:  20 April 2006

E. B. Dussan V.
Affiliation:
Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104

Abstract

The ability of small drops or bubbles to stick to non-horizontal solid surfaces is analysed. The principal results consist of identifying the critical value of the volume of a drop (or bubble) beyond which it will dislodge and move down (or up) the surface of the solid, and determining the speed at which it will move. In addition, the area of the solid wetted by the drop (or dried by the bubble) is calculated when its volume is at its critical value. All of the results are expressed in terms of experimentally measurable material properties. The most limiting restriction on the validity of the results is the assumption that the value of the contact angle hysteresis is small.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

Abramowitz, M. & Stegum I. A.1964 Handbook of Mathematical Functions. National Bureau of Standards.
Bikerman J. J.1950 Sliding of drops from surfaces of different roughnesses. J. Coll. Sci. 5, 349.Google Scholar
Dussan V., E, B. & Chow, R. T.-P. 1983 On the ability of drops or bubbles to stick to non-horizontal surfaces of solids. J. Fluid Mech. 137, 1.Google Scholar
Furmidge C. G. L.1962 Studies at phase interfaces. I. The sliding of liquid drops on solid surfaces and a theory of spray retention. J. Coll. Sci. 17, 309.Google Scholar