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

Miguel A. C. Teixeira, Steve Arscott, Simon J. Cox, Paulo Ivo C. Teixeira

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

163 Wedi eu Llwytho i Lawr (Pure)


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.
Iaith wreiddiolSaesneg
Tudalennau (o-i)13708-13717
Nifer y tudalennau10
Rhif cyhoeddi51
Dyddiad ar-lein cynnar25 Tach 2015
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 30 Tach 2015

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