A mixer design for the pigtail braid

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Binder, B. J. and Cox, Stephen M. A mixer design for the pigtail braid. Fluid Dynamics Research . ISSN 0169-5983 (In Press)

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Abstract

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).

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1025945
Keywords: Chaotic advection, Braid, Stokes flow, Fluid mixing
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.fluiddyn.2006.09.001
Depositing User: Cox, Stephen
Date Deposited: 23 Oct 2007 11:04
Last Modified: 04 May 2020 20:34
URI: https://eprints.nottingham.ac.uk/id/eprint/668

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