Abstract
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.
Original language | English |
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Pages (from-to) | 13708-13717 |
Number of pages | 10 |
Journal | Langmuir |
Volume | 31 |
Issue number | 51 |
Early online date | 25 Nov 2015 |
DOIs | |
Publication status | Published - 30 Nov 2015 |
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Simon Cox
- Faculty of Business and Physcial Sciences, Department of Mathematics - Professor, Head of Department (Maths)
Person: Teaching And Research