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Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities

Author(s)
Audoly, Basile; Ribe, Neil M.; Eaves, T. S.; Lister, John R.; Brun, Pierre-Thomas
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Abstract
Thin, viscous fluid threads falling onto a moving belt behave in a way reminiscent of a sewing machine, generating a rich variety of periodic stitchlike patterns including meanders, W patterns, alternating loops, and translated coiling. These patterns form to accommodate the difference between the belt speed and the terminal velocity at which the falling thread strikes the belt. Using direct numerical simulations, we show that inertia is not required to produce the aforementioned patterns. We introduce a quasistatic geometrical model which captures the patterns, consisting of three coupled ordinary differential equations for the radial deflection, the orientation, and the curvature of the path of the thread’s contact point with the belt. The geometrical model reproduces well the observed patterns and the order in which they appear as a function of the belt speed.
Date issued
2015-04
URI
http://hdl.handle.net/1721.1/96885
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Brun, P.-T.; Basile Audoly, Neil M. Ribe, T. S. Eaves, and John R. Lister. "Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities." Phys. Rev. Lett. 114, 174501 (April 2015). © 2015 American Physical Society
Version: Final published version
ISSN
0031-9007
1079-7114

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