Topological Chaos And Mixing in a Three-Dimensional Channel Flow

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dc.contributorVirginia Techen
dc.contributor.authorChen, J.en
dc.contributor.authorStremler, Mark A.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:21Zen
dc.date.available2014-04-24T18:34:21Zen
dc.date.issued2009-02-01en
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.en
dc.description.sponsorshipU. S. Army Research Laboratory and the U. S. Army Research Office W911NF-07-1-0368en
dc.description.sponsorshipNational Science Foundation DMS-0701126en
dc.format.mimetypeapplication/pdfen
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/10.1063/1.3076247en
dc.identifier.doihttps://doi.org/10.1063/1.3076247en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47669en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/21/2/10.1063/1.3076247en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectBoundary layeren
dc.subjectChannel flowen
dc.subjectChaosen
dc.subjectLaminar flowen
dc.subjectMixingen
dc.subjectBiharmonic problemen
dc.subjectInfinite systemsen
dc.subjectAdvectionen
dc.subjectMixeren
dc.subjectRectangleen
dc.subjectPipeen
dc.titleTopological Chaos And Mixing in a Three-Dimensional Channel Flowen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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