Chaotic Rayleigh-Benard convection with finite sidewalls

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dc.contributor.authorXu, M.en
dc.contributor.authorPaul, Mark R.en
dc.date.accessioned2024-10-09T14:05:48Zen
dc.date.available2024-10-09T14:05:48Zen
dc.date.issued2018-07-02en
dc.description.abstractWe explore the role of finite sidewalls on chaotic Rayleigh-Bénard convection. We use large-scale parallel spectral-element numerical simulations for the precise conditions of experiment for cylindrical convection domains. We solve the Boussinesq equations for thermal convection and the conjugate heat transfer problem for the energy transfer at the solid sidewalls of the cylindrical domain. The solid sidewall of the convection domain has finite values of thickness, thermal conductivity, and thermal diffusivity. We compute the Lyapunov vectors and exponents for the entire fluid-solid coupled problem. We quantify the chaotic dynamics of convection over a range of thermal sidewall boundary conditions. We find that the dynamics become less chaotic as the thermal conductivity of the sidewalls increases as measured by the value of the fractal dimension of the dynamics. The thermal conductivity of the sidewall is a stabilizing influence; the heat transfer between the fluid and solid regions is always in the direction to reduce the fluid motion near the sidewalls. Although the heat interaction for strongly conducting sidewalls is only about 1% of the heat transfer through the fluid layer, it is sufficient to reduce the fractal dimension of the dynamics by approximately 25% in our computations.en
dc.description.versionPublished versionen
dc.format.extent12 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 012201 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.98.012201en
dc.identifier.eissn2470-0053en
dc.identifier.issn2470-0045en
dc.identifier.issue1en
dc.identifier.orcidPaul, Mark [0000-0002-0701-1955]en
dc.identifier.pmid30110726en
dc.identifier.urihttps://hdl.handle.net/10919/121318en
dc.identifier.volume98en
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:000436942900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.relation.urihttp://dx.doi.org/10.1103/physreve.98.012201en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleChaotic Rayleigh-Benard convection with finite sidewallsen
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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