Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities
Name
PhysRevLett.114.174501.pdf
Size
823.13 KB
Format
Adobe PDF
Checksum (MD5)
ac94cd403173faa399cf3ead1e96e5c6
Author(s)
Audoly, Basile
Ribe, Neil M.
Eaves, T. S.
Lister, John R.
Brun, Pierre-Thomas
Date Issued
April 2015
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.114.174501
