Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5275
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dc.contributorDepartment of Civil and Environmental Engineering-
dc.creatorChen, ZW-
dc.creatorZhan, JM-
dc.creatorLi, YS-
dc.creatorNie, YH-
dc.date.accessioned2014-12-11T08:28:59Z-
dc.date.available2014-12-11T08:28:59Z-
dc.identifier.issn1070-6631 (print)-
dc.identifier.issn1089-7666 (online)-
dc.identifier.urihttp://hdl.handle.net/10397/5275-
dc.language.isoenen_US
dc.publisherAmerican Institute of Physicsen_US
dc.rights© 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Zhi-Wu Chen et al., Physics of Fluids 22, 124101 (2010) and may be found at http://link.aip.org/link/?phf/22/124101en_US
dc.subjectBifurcationen_US
dc.subjectBoundary layersen_US
dc.subjectConfined flowen_US
dc.subjectConvectionen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectFlow instabilityen_US
dc.subjectFlow simulationen_US
dc.subjectFluid oscillationsen_US
dc.subjectMass transferen_US
dc.subjectNumerical analysisen_US
dc.subjectThermal diffusionen_US
dc.subjectVorticesen_US
dc.titleOnset of double-diffusive convection in a rectangular cavity with stress-free upper boundaryen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1-
dc.identifier.epage10-
dc.identifier.volume22-
dc.identifier.issue12-
dc.identifier.doi10.1063/1.3517296-
dcterms.abstractDouble-diffusive buoyancy convection in an open-top rectangular cavity with horizontal temperature and concentration gradients is considered. Attention is restricted to the case where the opposing thermal and solutal buoyancy effects are of equal magnitude (buoyancy ratio R[sub ρ] = −1). In this case, a quiescent equilibrium solution exists and can remain stable up to a critical thermal Grashof number Gr[sub c]. Linear stability analysis and direct numerical simulation show that depending on the cavity aspect ratio A, the first primary instability can be oscillatory, while that in a closed cavity is always steady. Near a codimension-two point, the two leading real eigenvalues merge into a complex coalescence that later produces a supercritical Hopf bifurcation. As Gr further increases, this complex coalescence splits into two real eigenvalues again. The oscillatory flow consists of counter-rotating vortices traveling from right to left and there exists a critical aspect ratio below which the onset of convection is always oscillatory. Neutral stability curves showing the influences of A, Lewis number Le, and Prandtl number Pr are obtained. While the number of vortices increases as A decreases, the flow structure of the eigenfunction does not change qualitatively when Le or Pr is varied. The supercritical oscillatory flow later undergoes a period-doubling bifurcation and the new oscillatory flow soon becomes unstable at larger Gr. Random initial fields are used to start simulations and many different subcritical steady states are found. These steady states correspond to much stronger flows when compared to the oscillatory regime. The influence of Le on the onset of steady flows and the corresponding heat and mass transfer properties are also investigated.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationPhysics of fluids, Dec. 2010, v. 22, no. 12, 124101, p. 1-10-
dcterms.isPartOfPhysics of fluids-
dcterms.issued2010-12-
dc.identifier.isiWOS:000285770200025-
dc.identifier.scopus2-s2.0-78651380861-
dc.identifier.rosgroupidr52974-
dc.description.ros2010-2011 > Academic research: refereed > Publication in refereed journal-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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