Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities
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 b...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/96885 https://orcid.org/0000-0002-4175-0604 |
| _version_ | 1826193328885989376 |
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| author | Audoly, Basile Ribe, Neil M. Eaves, T. S. Lister, John R. Brun, Pierre-Thomas |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Audoly, Basile Ribe, Neil M. Eaves, T. S. Lister, John R. Brun, Pierre-Thomas |
| author_sort | Audoly, Basile |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:37:37Z |
| format | Article |
| id | mit-1721.1/96885 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:37:37Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/968852022-09-26T12:43:09Z Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities Audoly, Basile Ribe, Neil M. Eaves, T. S. Lister, John R. Brun, Pierre-Thomas Massachusetts Institute of Technology. Department of Mathematics Brun, Pierre-Thomas 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. European Research Council (Grant SIMCOMICS 280117) 2015-05-04T13:29:34Z 2015-05-04T13:29:34Z 2015-04 2014-10 2015-04-30T22:00:09Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/96885 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 https://orcid.org/0000-0002-4175-0604 en http://dx.doi.org/10.1103/PhysRevLett.114.174501 Physical Review Letters 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Audoly, Basile Ribe, Neil M. Eaves, T. S. Lister, John R. Brun, Pierre-Thomas Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title | Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title_full | Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title_fullStr | Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title_full_unstemmed | Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title_short | Liquid Ropes: A Geometrical Model for Thin Viscous Jet Instabilities |
| title_sort | liquid ropes a geometrical model for thin viscous jet instabilities |
| url | http://hdl.handle.net/1721.1/96885 https://orcid.org/0000-0002-4175-0604 |
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