Bioconvection in spatially extended domains

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dc.contributor.authorKarimi, A.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T13:55:21Zen
dc.date.available2024-10-09T13:55:21Zen
dc.date.issued2013-05-22en
dc.description.abstractWe numerically explore gyrotactic bioconvection in large spatially extended domains of finite depth using parameter values from available experiments with the unicellular alga Chlamydomonas nivalis. We numerically integrate the three-dimensional, time-dependent continuum model of Pedley using a high-order, parallel, spectral-element approach. We explore the long-time nonlinear patterns and dynamics found for layers with an aspect ratio of 10 over a range of Rayleigh numbers. Our results yield the pattern wavelength and pattern dynamics which we compare with available theory and experimental measurement. There is good agreement for the pattern wavelength at short times between numerics, experiment, and a linear stability analysis. At long times we find that the general sequence of patterns given by the nonlinear evolution of the governing equations correspond qualitatively to what has been described experimentally. However, at long times the patterns in numerics grow to larger wavelengths, in contrast to what is observed in experiment where the wavelength is found to decrease with time. © 2013 American Physical Society.en
dc.description.versionPublished versionen
dc.format.extent10 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 053016 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.87.053016en
dc.identifier.eissn1550-2376en
dc.identifier.issn1539-3755en
dc.identifier.issue5en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid23767629en
dc.identifier.urihttps://hdl.handle.net/10919/121312en
dc.identifier.volume87en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000319284800008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.87.053016en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.meshChlamydomonasen
dc.subject.meshMicrofluidicsen
dc.subject.meshCell Movementen
dc.subject.meshModels, Biologicalen
dc.subject.meshComputer Simulationen
dc.titleBioconvection in spatially extended domainsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Mechanical Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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