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Suppressing capillary instability in falling liquid threads

delete2024-11-28
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OA
AI
C
Chase T. Gabbard
J
J. Rhoads
J
Joshua B. Bostwick *
DOI:10.1017/jfm.2024.1091delete
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Abstract

Abstract

En 中文
A cylindrical liquid thread readily destabilizes into a series of drops due to capillary instability, which is also responsible for undesirable bead-on-fibre structures observed when coating a thin fibre. In this experimental study, we show how a falling liquid thread can be stabilized by internally distorting the cross-sectional shape using two vertically hung fibres. Below a critical flow rate Q(c), the dual-fibre system deforms the falling thread into a smooth column with a non-circular cross-section, thereby suppressing instability. Above Q(c), the cylindrical thread is left undeformed by the fibres and destabilizes into beads connected by a stable, non-cylindrical film. An empirical stability threshold is identified showing that flow delays the onset of capillary instability when compared with a marginally stable quasi-static coating. When the flow is unstable Q>Q(c), the bead velocity $v$ obeys a simple scaling law that is well supported by our experiments over a large parameter range. This suppression technique can be extended to other slender geometries, such as a ribbon, which shows similar qualitative results but exhibits a different stability threshold due to spontaneous dewetting about its short edge.
Keywords:
capillary flows
thin films
instability control

Journal

Journal of Fluid Mechanics cover
Journal of Fluid Mechanics
IF:
3.9
Papers:
2.0W
Citations:
9.4W

Organization

B
Brown University
Scholars:
2.4W
Papers: 2.2W
Citations: 3.2W
C
Clemson University
Scholars:
1.3W
Papers: 1.1W
Citations: 1.4W