期刊
LANGMUIR
卷 31, 期 51, 页码 13708-13717出版社
AMER CHEMICAL SOC
DOI: 10.1021/acs.langmuir.5b03970
关键词
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资金
- French Renatech network
- FP7 IAPP project Hydrofrac [PIAP-GA-2009-251475]
- Fundacao para a Ciencia e Tecnologia (Portugal) [EXCL/FIS-NAN/0083/2012, UID/FIS/00618/2013]
- Fundação para a Ciência e a Tecnologia [EXCL/FIS-NAN/0083/2012, UID/FIS/00618/2013] Funding Source: FCT
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 semianalytical 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 flat, shallow bottom, to lenticular, with a deeper, curved bottom, as the Bond number is decreased.
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