Noncontinuous froude number scaling for the closure depth of a cylindrical cavity.
A long, smooth cylinder is dragged through a water surface to create a cavity with an initially cylindrical shape. This surface void then collapses due to the hydrostatic pressure, leading to a rapid and axisymmetric pinch-off in a single point. Surprisingly, the depth at which this pinch-off takes place does not follow the expected Froude(1/3) power law. Instead, it displays two distinct scaling regimes separated by discrete jumps, both in experiment and in numerical simulations (employing a boundary integral code). We quantitatively explain the above behavior as a capillary wave effect. These waves are created when the top of the cylinder passes the water surface. Our work thus gives further evidence for the nonuniversality of the void collapse.
Gekle
Stephan
S
University of Twente, P.O. Box 217, 7500AE Enschede, The Netherlands.
van der Bos
Arjan
A
Bergmann
Raymond
R
van der Meer
Devaraj
D
Lohse
Detlef
D