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Article: Linear and nonlinear instabilities in rotating cylindrical Rayleigh-Bénard convection

TitleLinear and nonlinear instabilities in rotating cylindrical Rayleigh-Bénard convection
Authors
Issue Date2008
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 78 n. 5 How to Cite?
AbstractLinear and nonlinear convection in a rotating annular cylinder, under experimental boundary conditions, heated from below and rotating about a vertical axis are investigated. In addition to the usual physical parameters such as the Rayleigh and Taylor number, an important geometric parameter, the ratio of the inner to outer radius, enters into the problem. For intermediate ratios, linear stability analysis reveals that there exist two countertraveling convective waves which are nonlinearly significant: a retrograde wave located near the outer sidewall and a prograde wave adjacent to the inner sidewall. Several interesting phenomena of nonlinear convection are found: (i) tempospatially modulated countertraveling waves caused by an instability of the Eckhaus-Benjamin-Feir type, (ii) destructive countertraveling waves in which the existence or disappearance of the prograde wave is determined by its relative phase to the retrograde wave, and (iii) a saddle-node-type bifurcation in which the prograde wave takes an infinite amount of time to pass over the retrograde wave. © 2008 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/156234
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
ISI Accession Number ID
Funding AgencyGrant Number
NSFC110310773022
10633030
CAS2006 AA01A125
Hong Kong RGC700308
UK NERC
STFC
Funding Information:

L. L. and X. L. were supported by NSFC Grant No. 110310773022/10633030, CAS grants, and 863 Project No. 2006 AA01A125. K. H. C. was supported by Hong Kong RGC Grant No. 700308 and K.Z. was supported by UK NERC and STFC grants. The numerical computation was supported by SSC.

References

 

DC FieldValueLanguage
dc.contributor.authorLi, Len_US
dc.contributor.authorLiao, Xen_US
dc.contributor.authorChan, KHen_US
dc.contributor.authorZhang, Ken_US
dc.date.accessioned2012-08-08T08:40:57Z-
dc.date.available2012-08-08T08:40:57Z-
dc.date.issued2008en_US
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, And Soft Matter Physics, 2008, v. 78 n. 5en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/10722/156234-
dc.description.abstractLinear and nonlinear convection in a rotating annular cylinder, under experimental boundary conditions, heated from below and rotating about a vertical axis are investigated. In addition to the usual physical parameters such as the Rayleigh and Taylor number, an important geometric parameter, the ratio of the inner to outer radius, enters into the problem. For intermediate ratios, linear stability analysis reveals that there exist two countertraveling convective waves which are nonlinearly significant: a retrograde wave located near the outer sidewall and a prograde wave adjacent to the inner sidewall. Several interesting phenomena of nonlinear convection are found: (i) tempospatially modulated countertraveling waves caused by an instability of the Eckhaus-Benjamin-Feir type, (ii) destructive countertraveling waves in which the existence or disappearance of the prograde wave is determined by its relative phase to the retrograde wave, and (iii) a saddle-node-type bifurcation in which the prograde wave takes an infinite amount of time to pass over the retrograde wave. © 2008 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_US
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_US
dc.rightsPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics). Copyright © American Physical Society.-
dc.titleLinear and nonlinear instabilities in rotating cylindrical Rayleigh-Bénard convectionen_US
dc.typeArticleen_US
dc.identifier.emailChan, KH:mkhchan@hku.hken_US
dc.identifier.authorityChan, KH=rp00664en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1103/PhysRevE.78.056303en_US
dc.identifier.scopuseid_2-s2.0-56649090960en_US
dc.identifier.hkuros154845-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-56649090960&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume78en_US
dc.identifier.issue5en_US
dc.identifier.isiWOS:000261213800037-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, L=16304446000en_US
dc.identifier.scopusauthoridLiao, X=7202134147en_US
dc.identifier.scopusauthoridChan, KH=7406033542en_US
dc.identifier.scopusauthoridZhang, K=7404451892en_US

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