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On the ability of drops or bubbles to stick to non-horizontal surfaces of solids

Published online by Cambridge University Press:  20 April 2006

E. B. Dussan V.  and
Robert Tao-Ping Chow
E. B. Dussan V.
Affiliation:
Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104
Robert Tao-Ping Chow
Affiliation:
Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104
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Abstract

It is common knowledge that relatively small drops or bubbles have a tendency to stick to the surfaces of solids. Two specific problems are investigated: the shape of the largest drop or bubble that can remain attached to an inclined solid surface; and the shape and speed at which it moves along the surface when these conditions are exceeded. The slope of the fluid-fluid interface relative to the surface of the solid is assumed to be small, making it possible to obtain results using analytic techniques. It is shown that from both a physical and mathematical point of view contact-angle hysteresis, i.e. the ability of the position of the contact line to remain fixed as long as the value of the contact angle θ lies within the interval θR [les ] θ [les ] θA, where θA [nequiv ] θR, emerges as the single most important characteristic of the system.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 1 - 29
Copyright
© 1983 Cambridge University Press

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