A mixer design for the pigtail braid
The stirring of a body of viscous fluid using multiple stirring rods is known to be particularly effective when the rods trace out a path corresponding to a nontrivial mathematical braid. The optimal braid is the so-called "pigtail braid", in which three stirring rods execute the usu...
| Main Authors: | , |
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| Format: | Article |
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Elsevier
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| Online Access: | https://eprints.nottingham.ac.uk/668/ |
| _version_ | 1848790459607941120 |
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| author | Binder, B. J. Cox, Stephen M. |
| author_facet | Binder, B. J. Cox, Stephen M. |
| author_sort | Binder, B. J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The stirring of a body of viscous fluid using multiple
stirring rods is known to be particularly effective when
the rods trace out a path corresponding to a nontrivial
mathematical braid. The optimal braid is the so-called
"pigtail braid", in which three stirring rods execute
the usual "over-under" motion associated with braiding
plaiting) hair. We show how to achieve this optimal
braiding motion straightforwardly: one stirring rod is
driven in a figure-of-eight motion, while the other two
rods are baffles, which rotate episodically about their
common centre. We also explore the extent to which the
physical baffles may be replaced by flow structures
(such as periodic islands). |
| first_indexed | 2025-11-14T18:12:57Z |
| format | Article |
| id | nottingham-668 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:57Z |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-6682020-05-04T20:34:26Z https://eprints.nottingham.ac.uk/668/ A mixer design for the pigtail braid Binder, B. J. Cox, Stephen M. The stirring of a body of viscous fluid using multiple stirring rods is known to be particularly effective when the rods trace out a path corresponding to a nontrivial mathematical braid. The optimal braid is the so-called "pigtail braid", in which three stirring rods execute the usual "over-under" motion associated with braiding plaiting) hair. We show how to achieve this optimal braiding motion straightforwardly: one stirring rod is driven in a figure-of-eight motion, while the other two rods are baffles, which rotate episodically about their common centre. We also explore the extent to which the physical baffles may be replaced by flow structures (such as periodic islands). Elsevier Article PeerReviewed Binder, B. J. and Cox, Stephen M. A mixer design for the pigtail braid. Fluid Dynamics Research . ISSN 0169-5983 (In Press) Chaotic advection Braid Stokes flow Fluid mixing http://www.sciencedirect.com/science/journal/01695983 doi:10.1016/j.fluiddyn.2006.09.001 doi:10.1016/j.fluiddyn.2006.09.001 |
| spellingShingle | Chaotic advection Braid Stokes flow Fluid mixing Binder, B. J. Cox, Stephen M. A mixer design for the pigtail braid |
| title | A mixer design for the pigtail braid |
| title_full | A mixer design for the pigtail braid |
| title_fullStr | A mixer design for the pigtail braid |
| title_full_unstemmed | A mixer design for the pigtail braid |
| title_short | A mixer design for the pigtail braid |
| title_sort | mixer design for the pigtail braid |
| topic | Chaotic advection Braid Stokes flow Fluid mixing |
| url | https://eprints.nottingham.ac.uk/668/ https://eprints.nottingham.ac.uk/668/ https://eprints.nottingham.ac.uk/668/ |