Capillary Collapse and Rupture

Friday, January 12, 2001 - 5:00pm - 5:30pm
Keller 3-180
The breakup of a liquid capillary filament is analyzed as an aviscous potential flow near a stagnation point on the centerline of the filament towards which the surface collapses under the action of surface tension forces. We find that the neck is of parabolic shape and its radius collapses to zero in a finite time. During the collapse the tensile stress due to viscosity increases in value until at a certain finite radius (which is about 1.5 microns for water in air) the stress in the throat passes into tension presumably inducing cavitation there.