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What is the shape of an air bubble on a liquid surface?

Teixeira, M. A. C., Arscott, S., Cox, S. J. and Teixeira, P. I. C. (2015) What is the shape of an air bubble on a liquid surface? Langmuir, 31 (51). pp. 13708-13717. ISSN 0743-7463

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To link to this item DOI: 10.1021/acs.langmuir.5b03970


We have calculated the equilibrium shape of the axially symmetric meniscus along which a spherical bubble contacts a flat liquid surface, by analytically integrating the Young-Laplace equation in the presence of gravity, in the limit of large Bond numbers. This method has the advantage that it provides semi-analytical expressions for key geometrical properties of the bubble in terms of the Bond number. Results are in good overall agreement with experimental data and are consistent with fully numerical (Surface Evolver) calculations. In particular, we are able to describe how the bubble shape changes from hemispherical, with a shallow flat bottom, to lenticular, with a deeper, curved bottom, as the Bond number is decreased.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:48224
Publisher:American Chemical Society


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