Nd. Robinson et Ph. Steen, Observations of singularity formation during the capillary collapse and bubble pinch-off of a soap film bridge, J COLL I SC, 241(2), 2001, pp. 448-458
Observations of capillary-driven collapse of a soap film bridge and consequ
ent bubble pinch-off are reported. According to a recent mathematical surfa
ce model, in which the surface tension force is resisted only by the fluid
inertia, a neck starts on the midplane between the solid supports and split
s into two mirror-symmetric necks that straddle the midplane, and these nec
ks "turn over" (the interface becomes multivalued), after which self-simila
rity develops as the pinch-off exhibits finite time blow-up of both princip
al curvatures. Singular curvatures imply an unbounded pressure and divergin
g axial and, radial velocities. It is therefore anticipated that the model
breaks down at a length scale near pinch-off where neglected physics become
s important in the experiment. This paper examines where and how the model
breaks down. Observations on length scales from 200 mm. down to 0.2 mm (tim
e scales from 1.0 s down to 10(-4) s) show that the model quantitatively pr
edicts behavior down to the millimeter scale below which deviations occur.
These deviations are attributed to the finite thickness of the soap film wh
ose inertia can be considerable in motions approaching 10 m/s. (C) 2001 Aca
demic Press.