Math @ Duke
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Publications [#10202] of Linda B. Smolka
Papers Published
- D.M. Henderson, H. Segur, L. B. Smolka, and M. Wadati, The motion of a falling liquid filament,
Phys. Fluids 12, 550-565 (2000)
(last updated on 2002/12/18)
Abstract: When a liquid drop falls from a fluid source with a slow
rate, it remains attached to the source by an elongating
liquid filament until the filament pinches off. For many
fluids, this pinch-off occurs first near the end of the
filament, where the filament joins to the liquid drop.
For other fluids, the filament pinches off at one or more
interior points. In this paper, we study the motion of
this filament, and we make two points. First, the flow in
this filament is not that of a uniform jet. Instead, we
show experimentally that a different solution of the
Navier-Stokes equations describes the motion of this
filament before it pinches off. Second, we propose a
criterion for the location of the first pinch-off. In
particular, we analyze the linearized stability of the
exact solution, both for an inviscid fluid and for a
very viscous fluid. Our criterion for pinch-off is based
on this stability analysis. It correctly predicts whether
a given filament pinches off first near its ends or at
points within its interior for all of our experimental
data.
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