Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/36889
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dc.contributor.authorBarrow, A.-
dc.contributor.authorGarrett, Stephen J.-
dc.contributor.authorPeake, N.-
dc.date.accessioned2016-02-25T13:44:07Z-
dc.date.available2016-02-25T13:44:07Z-
dc.date.issued2014-02-22-
dc.identifier.citationEuropean Journal Of Mechanics B-Fluids, 2015, 49, pp. 301-307 (7)en
dc.identifier.issn0997-7546-
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0997754614000338en
dc.identifier.urihttp://hdl.handle.net/2381/36889-
dc.description.abstractWe consider the linear global stability of the boundary-layer flow over a rotating sphere. Our results suggest that a self-excited linear global mode can exist when the sphere rotates sufficiently fast, with properties fixed by the flow at latitudes between approximately 55°–65° from the pole (depending on the rotation rate). A neutral curve for global linear instabilities is presented with critical Reynolds number consistent with existing experimentally measured values for the appearance of turbulence. The existence of an unstable linear global mode is in contrast to the literature on the rotating disk, where it is expected that nonlinearity is required to prompt the transition to turbulence. Despite both being susceptible to local absolute instabilities, we conclude that the transition mechanism for the rotating-sphere flow may be different to that for the rotating disk.en
dc.language.isoenen
dc.publisherElsevier for European Mechanics Society (Euromech)en
dc.rightsCopyright © 2014 Elsevier Masson SAS. All rights reserved. This manuscript version is made available after the end of the embargo period under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ en
dc.subjectScience & Technologyen
dc.subjectTechnologyen
dc.subjectPhysical Sciencesen
dc.subjectMechanicsen
dc.subjectPhysics, Fluids & Plasmasen
dc.subjectPhysicsen
dc.subjectBoundary-layer flowen
dc.subjectRotating sphereen
dc.subjectGlobal modesen
dc.subjectABSOLUTE INSTABILITYen
dc.subjectDISKen
dc.subjectTRANSITIONen
dc.subjectMODESen
dc.subjectVORTICESen
dc.subjectBEHAVIORen
dc.subjectEDGEen
dc.titleGlobal linear stability of the boundary-layer flow over a rotating sphereen
dc.typeJournal Articleen
dc.identifier.doi10.1016/j.euromechflu.2014.02.012-
dc.description.statusPeer-revieweden
dc.description.versionPost-printen
dc.type.subtypeArticle;Journal-
pubs.organisational-group/Organisationen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERINGen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematicsen
Appears in Collections:Published Articles, Dept. of Mathematics

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