TY - JOUR

T1 - What is the shape of an air bubble on a liquid surface?

AU - Teixeira, Miguel A. C.

AU - Arscott, Steve

AU - Cox, Simon J.

AU - Teixeira, Paulo Ivo C.

N1 - This is the author accepted manuscript. The final version is available from [publisher] via http://dx.doi.org/doi:10.1021/acs.langmuir.5b03970

PY - 2015/11/30

Y1 - 2015/11/30

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/2160/36441

U2 - 10.1021/acs.langmuir.5b03970

DO - 10.1021/acs.langmuir.5b03970

M3 - Article

C2 - 26605984

SN - 0743-7463

VL - 31

SP - 13708

EP - 13717

JO - Langmuir

JF - Langmuir

IS - 51

ER -