University of Limerick Institutional Repository

Rayleigh-Bénard convection at high Rayleigh number and infinite Prandtl number: asymptotics and numerics

DSpace Repository

Show simple item record

dc.contributor.author Vynnycky, Michael
dc.contributor.author Masuda, Y
dc.date.accessioned 2015-07-23T11:31:10Z
dc.date.available 2015-07-23T11:31:10Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/10344/4557
dc.description peer-reviewed en_US
dc.description.abstract The problem of fast viscous steady Rayleigh-Bénard convection in a rectangular enclosure is revisited using asymptotic and numerical methods. There are two generic cases: in the first, there is zero shear stress at all boundaries; in the second, there is zero shear stress at the vertical boundaries, but no slip at the horizontal ones. For the first case, we reconcile our new numerical solutions to the full equations with earlier asymptotic results for large Rayleigh number and effectively infinite Prandtl number. For the second case, we first derive the corresponding asymptotic theory and then reconcile it also with the relevant full numerical solutions. However, the latter also indicate behavior which the asymptotic theory does not predict, for Rayleigh numbers in excess of just over 106 and aspect ratios in excess of around 1.1. C 2013 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4829450 en_US
dc.language.iso eng en_US
dc.publisher American Institute of Physics en_US
dc.relation.ispartofseries Physics of Fluids;25, 113602
dc.relation.uri http://dx.doi.org/10.1063/1.4829450
dc.rights The following article appeared in Physics of Fluids, 25, 113602 and may be found at http://dx.doi.org/10.1063/1.4829450 en_US
dc.subject Rayleigh-Bénard convection en_US
dc.subject numerical methods en_US
dc.title Rayleigh-Bénard convection at high Rayleigh number and infinite Prandtl number: asymptotics and numerics en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.contributor.sponsor SFI en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 1557032


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search ULIR


Browse

My Account

Statistics