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dc.contributor.authorSánchez Casals, Odalys de la Caridad
dc.contributor.authorMercader Calvo, María Isabel
dc.contributor.authorBatiste Boleda, Oriol
dc.contributor.authorAlonso Maleta, María Aránzazu
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2016-07-28T14:41:31Z
dc.date.available2016-07-28T14:41:31Z
dc.date.issued2016-06-23
dc.identifier.citationSanchez, O., Mercader, M., Batiste, O., Alonso, A. Natural convection in a horizontal cylinder with axial rotation. "PHYSICAL REVIEW E", 23 Juny 2016, vol. 93, núm. 6, p. 1-16.
dc.identifier.issn2470-0045
dc.identifier.urihttp://hdl.handle.net/2117/89338
dc.description.abstractWe study the problem of thermal convection in a laterally heated horizontal cylinder rotating about its axis. A cylinder of aspect ratio Gamma = H/2R = 2 containing a small Prandtl number fluid (sigma = 0.01) representative of molten metals and molten semiconductors at high temperature is considered. We focus on a slow rotation regime (Omega < 8), where the effects of rotation and buoyancy forces are comparable. The Navier-Stokes and energy equations with the Boussinesq approximation are solved numerically to calculate the basic states, analyze their linear stability, and compute several secondary flows originated from the instabilities. Due to the confined cylindrical geometry-the presence of lateral walls and lids-all the flows are completely three dimensional, even the basic steady states. Results characterizing the basic states as the rotation rate increases are presented. As it occurred in the nonrotating case for higher values of the Prandtl number, two curves of steady states with the same symmetric character coexist for moderate values of the Rayleigh number. In the range of Omega considered, rotation has a stabilizing effect only for very small values. As the value of the rotation rate approaches Omega = 3.5 and Omega = 4.5, the scenario of bifurcations becomes more complex due to the existence in both cases of very close bifurcations of codimension 2, which in the latter case involve both curves of symmetric solutions.
dc.format.extent16 p.
dc.language.isoeng
dc.publisherAMER PHYSICAL SOC
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshCrystal growth
dc.subject.lcshStability
dc.subject.lcshFlows (Differentiable dynamical systems)
dc.subject.lcshEquations
dc.subject.lcshCavitation
dc.subject.otherLow prandtl number
dc.subject.otherCrystal-growth
dc.subject.otherAspect-ratio
dc.subject.otherStability
dc.subject.otherInstabilities
dc.subject.otherFlows
dc.subject.otherEquations
dc.subject.otherCavity
dc.subject.otherChaos
dc.titleNatural convection in a horizontal cylinder with axial rotation
dc.typeArticle
dc.subject.lemacCristalls--Creixement
dc.subject.lemacEstabilitat
dc.subject.lemacFluxos (Sistemes dinàmics diferenciables)
dc.subject.lemacEquacions
dc.subject.lemacCavitació
dc.contributor.groupUniversitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids
dc.identifier.doi10.1103/PhysRevE.93.063113
dc.relation.publisherversionhttp://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.063113
dc.rights.accessOpen Access
local.identifier.drac18771000
dc.description.versionPostprint (published version)
local.citation.authorSanchez, O.; Mercader, M.; Batiste, O.; Alonso, A.
local.citation.publicationNamePHYSICAL REVIEW E
local.citation.volume93
local.citation.number6
local.citation.startingPage1
local.citation.endingPage16


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