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On the onset of instabilities in a Bénard-Marangoni problem in an annular domain with temperature gradient

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Aeroespaciales
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Ingeniería Aeroespaciales
dc.contributor.authorHoyas, Sergio
dc.contributor.authorIaniro, Andrea
dc.contributor.authorPérez-Quiles, María J.
dc.contributor.authorFajardo Peña, Pablo
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-10-10T09:53:53Z
dc.date.available2023-10-10T09:53:53Z
dc.date.issued2017-12
dc.description.abstractThis manuscript addresses the linear stability analysis of a thermoconvective problem in an annular domain. The flow is heated from below, with a linear decreasing horizontal temperature profile from the inner to the outer wall. The top surface of the domain is open to the atmosphere and the two lateral walls are adiabatic. The effects of several parameters in the flow are evaluated. Three different values for the ratio of the momentum dffusivity and thermal diffusivity are considered: relatively low Prandtl number (Pr = 1), intermediate Prandtl number (Pr = 5) and high Prandtl number (ideally Pr -> infinity, namely Pr = 50). The thermal boundary condition on the top surface is changed by imposing different values of the Biot number, Bi. The influence of the aspect ratio (I) is assessed for through by studying several aspect ratios, Gamma. The study has been performed for two values of the Bond number (namely Bo = 5 and 50), estimating the perturbation given by thermocapillarity effects on buoyancy effects. Different kinds of competing solutions appear on localized zones of the Gamma-Bi plane. The boundaries of these zones are made up of co-dimension two points. Co-dimension two points are found to be function of Bond number, Marangoni number and boundary conditions but to be independent on the Prandtl number.en
dc.description.sponsorshipThe authors would like to thank Mr. Salvador Hoyas for fruitful conversations about the paper. This work was supported by a generous grant of computer time from the supercomputing center of the UPV. This work has been partially supported by the Spanish R&D National Plan, grant number ESP2013-41052-P.en
dc.format.extent12
dc.identifier.bibliographicCitationHoyas, S., Ianiro, A., Pérez-Quiles, M. J., & Fajardo, P. (2017). On the onset of instabilities in a Bénard-Marangoni problem in an annular domain with temperature gradient. Thermal Science, 21(suppl. 3), 585-596.en
dc.identifier.doihttps://doi.org/10.2298/TSCI160628277H
dc.identifier.issn0354-9836
dc.identifier.publicationfirstpageS585
dc.identifier.publicationissueSuppl. 3
dc.identifier.publicationlastpageS596
dc.identifier.publicationtitleThermal Scienceen
dc.identifier.publicationvolume21
dc.identifier.urihttps://hdl.handle.net/10016/38596
dc.identifier.uxxiAR/0000020896
dc.language.isoengen
dc.publisherNational Library of Serbiaen
dc.relation.projectIDGobierno de España. ESP2013-41052-Pes
dc.rights© 2017 Society of Thermal Engineers of Serbia.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaAeronáuticaes
dc.subject.ecienciaBiología y Biomedicinaes
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaIngeniería Navales
dc.subject.otherMarangoni problemen
dc.subject.otherThermocapillary convectionen
dc.subject.otherLinear stabilityen
dc.subject.otherBuoyancy effectsen
dc.titleOn the onset of instabilities in a Bénard-Marangoni problem in an annular domain with temperature gradienten
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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