Contact angle of a hemispherical bubble: an analytical approach

Teixeira, M. A. C. ORCID: https://orcid.org/0000-0003-1205-3233 and Teixeira, P. I. C. (2009) Contact angle of a hemispherical bubble: an analytical approach. Journal of Colloid and Interface Science, 338 (1). pp. 193-200. ISSN 0021-9797 doi: 10.1016/j.jcis.2009.05.062

Abstract/Summary

We have calculated the equilibrium shape of the axially symmetric Plateau border along which a spherical bubble contacts a flat wall, by analytically integrating Laplace’s equation in the presence of gravity, in the limit of small Plateau border sizes. This method has the advantage that it provides closed-form expressions for the positions and orientations of the Plateau border surfaces. Results are in very good overall agreement with those obtained from a numerical solution procedure, and are consistent with experimental data. In particular we find that the effect of gravity on Plateau border shape is relatively small for typical bubble sizes, leading to a widening of the Plateau border for sessile bubbles and to a narrowing for pendant bubbles. The contact angle of the bubble is found to depend even more weakly on gravity.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/29242
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology No Reading authors. Back catalogue items
Publisher	Elsevier
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