File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1063/1.3515344
- Scopus: eid_2-s2.0-79251578039
- WOS: WOS:000285486600063
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: On fluid flows in precessing spheres in the mantle frame of reference
Title | On fluid flows in precessing spheres in the mantle frame of reference | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Authors | |||||||||||||||
Keywords | Asymptotic solutions Dimensionless parameters Ekman numbers Fluid flow Frame of reference | ||||||||||||||
Issue Date | 2010 | ||||||||||||||
Publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf | ||||||||||||||
Citation | Physics of Fluids, 2010, v. 22 n. 11, article no. 116604 How to Cite? | ||||||||||||||
Abstract | We 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 Ω p 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 {pipe}Po{pipe} 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. © 2010 American Institute of Physics. | ||||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/135159 | ||||||||||||||
ISSN | 2019 Impact Factor: 3.514 2015 SCImago Journal Rankings: 1.036 | ||||||||||||||
ISI Accession Number ID |
Funding Information: K Z expresses his thanks to Professor F H Busse, Professor P H Roberts, and Professor A Tilgner for helpful discussions about the problem K Z is supported by UK STFC/NERC grants, K H C by Hong Kong RGC grant (Grant No 700308), and X L by NSFC (Grant No 10633030), STCSM (Grant No 08XD14052), and CAS grants The numerical computation is supported by Shanghai Supercomputer Center | ||||||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhang, K | en_HK |
dc.contributor.author | Chan, KH | en_HK |
dc.contributor.author | Liao, X | en_HK |
dc.date.accessioned | 2011-07-27T01:29:10Z | - |
dc.date.available | 2011-07-27T01:29:10Z | - |
dc.date.issued | 2010 | en_HK |
dc.identifier.citation | Physics of Fluids, 2010, v. 22 n. 11, article no. 116604 | - |
dc.identifier.issn | 1070-6631 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/135159 | - |
dc.description.abstract | We 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 Ω p 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 {pipe}Po{pipe} 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. © 2010 American Institute of Physics. | en_HK |
dc.language | eng | en_US |
dc.publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf | en_HK |
dc.relation.ispartof | Physics of Fluids | en_HK |
dc.rights | Copyright 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 Physics of Fluids, 2010, v. 22 n. 11, article no. 116604 and may be found at https://doi.org/10.1063/1.3515344 | - |
dc.subject | Asymptotic solutions | - |
dc.subject | Dimensionless parameters | - |
dc.subject | Ekman numbers | - |
dc.subject | Fluid flow | - |
dc.subject | Frame of reference | - |
dc.title | On fluid flows in precessing spheres in the mantle frame of reference | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chan, KH:mkhchan@hku.hk | en_HK |
dc.identifier.authority | Chan, KH=rp00664 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1063/1.3515344 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79251578039 | en_HK |
dc.identifier.hkuros | 188097 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79251578039&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 22 | en_HK |
dc.identifier.issue | 11 | en_HK |
dc.identifier.spage | article no. 116604 | - |
dc.identifier.epage | article no. 116604 | - |
dc.identifier.isi | WOS:000285486600063 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Zhang, K=7404451892 | en_HK |
dc.identifier.scopusauthorid | Chan, KH=7406033542 | en_HK |
dc.identifier.scopusauthorid | Liao, X=7202134147 | en_HK |