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dc.contributorVirginia Techen_US
dc.contributor.authorChen, J.en_US
dc.contributor.authorStremler, Mark A.en_US
dc.date.accessioned2014-04-24T18:34:21Z
dc.date.available2014-04-24T18:34:21Z
dc.date.issued2009-02-01
dc.identifier.citationChen, Jie; Stremler, Mark A., "topological chaos and mixing in a three-dimensional channel flow," Phys. Fluids 21, 021701 (2009); http://dx.doi.org/10.1063/1.3076247
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/47669
dc.description.abstractPassive mixing is investigated in a mathematical model of steady, three-dimensional, laminar flow through a rectangular channel. Efficient stirring is achieved by imposing spatially periodic transverse boundary velocities that generate asymmetric, counter-rotating rolls aligned with the channel axis. The flow is designed and analyzed using the concept of topological chaos, in which complexity is embedded in the flow through the motion of periodic orbits. A lid-driven flow producing topological chaos is found to stir better than a related flow with solid inserts considered previously [M. D. Finn, S. M. Cox, and H. M. Byrne, Phys. Fluids 15, L77 (2003)]. The results demonstrate that topological chaos and the Thurston-Nielsen classification theorem can provide insight into mixing enhancement in steady, three-dimensional flows.
dc.description.sponsorshipU. S. Army Research Laboratory and the U. S. Army Research Office W911NF-07-1-0368
dc.description.sponsorshipNational Science Foundation DMS-0701126
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subjectBoundary layeren_US
dc.subjectChannel flowen_US
dc.subjectChaosen_US
dc.subjectLaminar flowen_US
dc.subjectMixingen_US
dc.subjectBiharmonic problemen_US
dc.subjectInfinite systemsen_US
dc.subjectAdvectionen_US
dc.subjectMixeren_US
dc.subjectRectangleen_US
dc.subjectPipeen_US
dc.titleTopological Chaos And Mixing in a Three-Dimensional Channel Flowen_US
dc.typeArticle - Refereeden_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/21/2/10.1063/1.3076247
dc.date.accessed2014-04-04
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.3076247
dc.type.dcmitypeTexten_US


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