Author:
CHANG HSUEH-CHIA,DEMEKHIN EVGENY A.
Abstract
Rayleigh instability on an axisymmetric viscous film around a vertical
fibre produces
localized wave structures (pulses) on a flat substrate film that can grow
by an order
of magnitude to form large capillary drops. We show that this drop formation
process is driven by a unique mechanism in the form of an ever-growing
pulse
which leaves behind a trailing film thinner than the one it advances into.
In addition
to accumulating liquid from the film, the growing pulse also captures smaller
and
slower pulses in coalescence cascades. We construct this supercritical
growing pulse
by matched asymptotics and show that it will eventually evolve into a capillary
drop
if the local film thickness h is larger than
hc=1.68R3H−2
where R is the fibre radius and H the capillary length.
We also show that
subcritical pulses with h<hc will
equilibrate into
stationary pulses that do not grow or coalesce readily to form drops.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
75 articles.
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