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Article: Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section

TitleBifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section
Authors
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt
Citation
International Journal Of Heat And Mass Transfer, 2003, v. 46 n. 4, p. 613-629 How to Cite?
AbstractA numerical study is made on fully developed bifurcation structure and stability of combined free and forced convection in a rotating curved duct of square cross-section. The solution structure is determined as the variation of a parameter indicating the magnitude of buoyancy force. Steady solution structure is very complicated. Flow and temperature fields on various solution branches are identified to be symmetric/asymmetric multi-cell patterns. Dynamic responses of multiple solutions to finite random disturbances are examined by direct transient computation. Five types of physically realizable solutions are identified numerically. They are stable steady 2-cell solution, stable steady multi-cell solution, periodic oscillation, chaotic oscillation and symmetry-breaking oscillation led by sub-harmonic bifurcation (period doubling). Among them, three kinds of stable steady solutions are found to co-exist within a range of parameters. In addition, temporal periodic and chaotic oscillations can also co-exist in another range of parameters. Furthermore, sub-harmonic bifurcation is identified to be another route to chaos. Spectral analysis is used to demonstrate the presence of additional frequencies for the case of sub-harmonic bifurcations. Results show that symmetry-breaking oscillation driven by sub-harmonic bifurcations appear to be identical with the mode observed in Lipps [J. Fluid Mech. 75 (1976) 113], McLaughlin and Orszag [J. Fluid Mech. 122 (1982) 123], and Gollub and Benson [J. Fluid Mech. 100 (1980) 449] for problem of free convection between flat horizontal plates. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75741
ISSN
2015 Impact Factor: 2.857
2015 SCImago Journal Rankings: 1.749
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYang, Ten_HK
dc.contributor.authorWang, Len_HK
dc.date.accessioned2010-09-06T07:14:06Z-
dc.date.available2010-09-06T07:14:06Z-
dc.date.issued2003en_HK
dc.identifier.citationInternational Journal Of Heat And Mass Transfer, 2003, v. 46 n. 4, p. 613-629en_HK
dc.identifier.issn0017-9310en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75741-
dc.description.abstractA numerical study is made on fully developed bifurcation structure and stability of combined free and forced convection in a rotating curved duct of square cross-section. The solution structure is determined as the variation of a parameter indicating the magnitude of buoyancy force. Steady solution structure is very complicated. Flow and temperature fields on various solution branches are identified to be symmetric/asymmetric multi-cell patterns. Dynamic responses of multiple solutions to finite random disturbances are examined by direct transient computation. Five types of physically realizable solutions are identified numerically. They are stable steady 2-cell solution, stable steady multi-cell solution, periodic oscillation, chaotic oscillation and symmetry-breaking oscillation led by sub-harmonic bifurcation (period doubling). Among them, three kinds of stable steady solutions are found to co-exist within a range of parameters. In addition, temporal periodic and chaotic oscillations can also co-exist in another range of parameters. Furthermore, sub-harmonic bifurcation is identified to be another route to chaos. Spectral analysis is used to demonstrate the presence of additional frequencies for the case of sub-harmonic bifurcations. Results show that symmetry-breaking oscillation driven by sub-harmonic bifurcations appear to be identical with the mode observed in Lipps [J. Fluid Mech. 75 (1976) 113], McLaughlin and Orszag [J. Fluid Mech. 122 (1982) 123], and Gollub and Benson [J. Fluid Mech. 100 (1980) 449] for problem of free convection between flat horizontal plates. © 2002 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmten_HK
dc.relation.ispartofInternational Journal of Heat and Mass Transferen_HK
dc.titleBifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-sectionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0017-9310&volume=46&spage=613&epage=629&date=2003&atitle=Bifurcation+and+stability+of+combined+free+and+forced+convection+in+rotating+curved+ducts+of+square+cross-sectionen_HK
dc.identifier.emailWang, L:lqwang@hkucc.hku.hken_HK
dc.identifier.authorityWang, L=rp00184en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0017-9310(02)00329-0en_HK
dc.identifier.scopuseid_2-s2.0-0037292531en_HK
dc.identifier.hkuros79599en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037292531&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume46en_HK
dc.identifier.issue4en_HK
dc.identifier.spage613en_HK
dc.identifier.epage629en_HK
dc.identifier.isiWOS:000180423000004-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridYang, T=7404655973en_HK
dc.identifier.scopusauthoridWang, L=35235288500en_HK

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