Show simple item record

dc.contributor.authorZhang, Kekeen_GB
dc.contributor.authorChan, K.H.en_GB
dc.contributor.authorLiao, X.en_GB
dc.date.accessioned2013-03-04T15:09:47Zen_GB
dc.date.accessioned2013-03-20T12:33:02Z
dc.date.issued2010en_GB
dc.description.abstractWe investigate, through both asymptotic and numerical analysis, precessionally driven flows of a homogeneous fluid confined in a spherical container that rotates rapidly with angular velocity Ω and precesses slowly with angular velocity Ωp about an axis that is fixed in space. The precessionally driven flows are primarily characterized by two dimensionless parameters: the Ekman number E providing the measure of relative importance between the viscous force and the Coriolis force, and the Poincaré number Po quantifying the strength of the Poincaré forcing. When E is small but fixed and |Po| is sufficiently small, we derive a time-dependent asymptotic solution for the weakly precessing flow that satisfies the nonslip boundary condition in the mantle frame of reference. No prior assumption about the spatial-temporal structure of the precessing flow is made in the asymptotic analysis. A solvability condition is derived to determine the spatial structure of the precessing flow, via a selection from a complete spectrum of spherical inertial modes in the mantle frame. The weakly precessing flow within the bulk of the fluid is characterized by an inertial wave moving retrogradely. Direct numerical simulation of the same problem in the same frame of reference shows a satisfactory agreement between the time-dependent asymptotic solution and the nonlinear numerical simulation for sufficiently small Poincaré numbers.en_GB
dc.identifier.citationVol. 22 (11), article 116604en_GB
dc.identifier.doi10.1063/1.3515344en_GB
dc.identifier.urihttp://hdl.handle.net/10036/4401en_GB
dc.language.isoenen_GB
dc.publisherAmerican Institute of Physicsen_GB
dc.relation.urlhttp://dx.doi.org/10.1063/1.3515344en_GB
dc.subjectconfined flowen_GB
dc.subjectCoriolis forceen_GB
dc.subjectflow simulationen_GB
dc.subjectnumerical analysisen_GB
dc.subjectrotational flowen_GB
dc.subjectspatiotemporal phenomenaen_GB
dc.titleOn fluid flows in precessing spheres in the mantle frame of referenceen_GB
dc.typeArticleen_GB
dc.date.available2013-03-04T15:09:47Zen_GB
dc.date.available2013-03-20T12:33:02Z
dc.identifier.issn1070-6631en_GB
exeter.article-numberARTN 116604en_GB
dc.descriptionCopyright © 2010 American Institute of Physicsen_GB
dc.identifier.eissn1089-7666en_GB
dc.identifier.journalPhysics of Fluidsen_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record