Noncontinuous Froude number scaling for the closure depth of a cylindrical cavity

作者:Gekle Stephan*; van der Bos Arjan; Bergmann Raymond; van der Meer Devaraj; Lohse Detlef
来源:Physical Review Letters, 2008, 100(8): 084502.
DOI:10.1103/PhysRevLett.100.084502

摘要

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.

  • 出版日期2008-2-29