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 -
