Vertical heat transport at infinite Prandtl number for micropolar fluid

2020
journal article
article
cris.lastimport.wos2024-04-10T01:40:23Z
dc.abstract.enWe investigate the upper bound on the vertical heat transportin thefully 3D Rayleigh–Bénard convection problem at the infinite Prandtl number fora micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh num-ber, with a logarithmic correction. The derived bound is compared with the optimalknown one for the Newtonian fluid. It follows that the (optimal) upper bound for themicropolar fluid is less than the corresponding bound for the Newtonian fluid at thesame Rayleigh number. Moreover, strong microrotational diffusion effects can entirelysuppress the heat transfer. In the Newtonian limit our purely analytical findings fullyagree with estimates and scaling laws obtained from previoustheories significantlyrelying on phenomenology.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowejpl
dc.contributor.authorCaggio, Matteopl
dc.contributor.authorKalita, Piotr - 128604 pl
dc.contributor.authorŁukaszewicz, Grzegorzpl
dc.contributor.authorMizerski, Krzysztofpl
dc.date.accessioned2021-02-11T19:51:44Z
dc.date.available2021-02-11T19:51:44Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.physical525-553pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume72pl
dc.identifier.doi10.24423/aom.3598pl
dc.identifier.issn0373-2029pl
dc.identifier.projectROD UJ / Opl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/263225
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceOTHER
dc.rights.uri*
dc.share.typeotwarte czasopismo
dc.subject.enmicropolar fluidpl
dc.subject.enRayleigh–Benard convectionpl
dc.subject.enheat transportpl
dc.subject.enRayleigh numberpl
dc.subject.enPrandtl numberpl
dc.subject.enNusselt numberpl
dc.subtypeArticlepl
dc.titleVertical heat transport at infinite Prandtl number for micropolar fluidpl
dc.title.journalArchives of Mechanicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T01:40:23Z
dc.abstract.enpl
We investigate the upper bound on the vertical heat transportin thefully 3D Rayleigh–Bénard convection problem at the infinite Prandtl number fora micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh num-ber, with a logarithmic correction. The derived bound is compared with the optimalknown one for the Newtonian fluid. It follows that the (optimal) upper bound for themicropolar fluid is less than the corresponding bound for the Newtonian fluid at thesame Rayleigh number. Moreover, strong microrotational diffusion effects can entirelysuppress the heat transfer. In the Newtonian limit our purely analytical findings fullyagree with estimates and scaling laws obtained from previoustheories significantlyrelying on phenomenology.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
dc.contributor.authorpl
Caggio, Matteo
dc.contributor.authorpl
Kalita, Piotr - 128604
dc.contributor.authorpl
Łukaszewicz, Grzegorz
dc.contributor.authorpl
Mizerski, Krzysztof
dc.date.accessioned
2021-02-11T19:51:44Z
dc.date.available
2021-02-11T19:51:44Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.physicalpl
525-553
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
72
dc.identifier.doipl
10.24423/aom.3598
dc.identifier.issnpl
0373-2029
dc.identifier.projectpl
ROD UJ / O
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/263225
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
OTHER
dc.rights.uri*
dc.share.type
otwarte czasopismo
dc.subject.enpl
micropolar fluid
dc.subject.enpl
Rayleigh–Benard convection
dc.subject.enpl
heat transport
dc.subject.enpl
Rayleigh number
dc.subject.enpl
Prandtl number
dc.subject.enpl
Nusselt number
dc.subtypepl
Article
dc.titlepl
Vertical heat transport at infinite Prandtl number for micropolar fluid
dc.title.journalpl
Archives of Mechanics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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