Spiral defect chaos in Rayleigh-Benard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spirals

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dc.contributor.authorVitral, Eduardoen
dc.contributor.authorMukherjee, Saikaten
dc.contributor.authorLeo, Perry H.en
dc.contributor.authorVinals, Jorgeen
dc.contributor.authorPaul, Mark R.en
dc.contributor.authorHuang, Zhi-Fengen
dc.date.accessioned2024-10-07T18:30:08Zen
dc.date.available2024-10-07T18:30:08Zen
dc.date.issued2020-09-10en
dc.date.issued2020-09-10en
dc.description.abstractRotating spiral patterns in Rayleigh-Bénard convection are known to induce azimuthal flows, which raises the question of how different neighboring spirals interact with each other in spiral chaos and the role of hydrodynamics in this regime. Far from the core, we show that spiral rotations lead to an azimuthal body force that is irrotational and of magnitude proportional to the topological index of the spiral and its angular frequency. The force, although irrotational, cannot be included in the pressure field as it would lead to a nonphysical multivalued pressure. We calculate the asymptotic dependence of the resulting flow and show that it leads to a logarithmic dependence of the azimuthal velocity on distance r away from the spiral core in the limit of negligible damping coefficient. This solution dampens to approximately 1/r when accounting for no-slip boundary conditions for the convection cell's plate. This flow component can provide additional hydrodynamic interactions among spirals including those observed in spiral defect chaos. We show that the analytic prediction for the azimuthal velocity agrees with numerical results obtained from both two-dimensional generalized Swift-Hohenberg and three-dimensional Boussinesq models and find that the velocity field is affected by the size and charges of neighboring spirals. Numerically, we identify a correlation between the appearance of spiral defect chaos and the balancing between the mean-flow advection and the diffusive dynamics related to roll unwinding.en
dc.description.versionPublished versionen
dc.format.extent22 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 093501 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevFluids.5.093501en
dc.identifier.eissn2469-990Xen
dc.identifier.issn2469-990Xen
dc.identifier.issue9en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.urihttps://hdl.handle.net/10919/121284en
dc.identifier.volume5en
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:000567767200002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physrevfluids.5.093501en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSpiral defect chaos in Rayleigh-Benard convection: Asymptotic and numerical studies of azimuthal flows induced by rotating spiralsen
dc.title.serialPhysical Review Fluidsen
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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