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Article: Body-force-driven multiplicity and stability of combined free and forced convection in rotating curved ducts: Coriolis force

TitleBody-force-driven multiplicity and stability of combined free and forced convection in rotating curved ducts: Coriolis force
Authors
KeywordsBifurcation (mathematics)
Chaos theory
Computational methods
Ducts
Oscillations
Issue Date2002
PublisherSpringer-Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htm
Citation
Computational Mechanics, 2002, v. 29 n. 6, p. 520-531 How to Cite?
AbstractA numerical study is made on the fully developed bifurcation structure and stability of forced convection in a rotating curved duct of square cross-section. Solution structure is determined as variation of a parameter that indicates the effect of rotation (Coriolis-force-driven multiplicity). Three solutions for the flows in a stationary curved duct obtained in the work of Yang and Wang [1] are used as initial solutions of continuation calculations to unfold the solution branches. Twenty-one solution branches are found comparing with five obtained by Selmi and Nandakumar [2]. Dynamic responses of the multiple solutions to finite random disturbances are examined by the direct transient computation. Results show that characteristics of physically realizable fully developed flows changes significantly with variation of effect of rotation. Fourteen sub-ranges are identified according to characteristics of physically realizable solutions. As rotation effect changes, possible physically realizable fully-developed flows can be stable steady 2-cell state, stable multi-cell state, temporal periodic oscillation between symmetric/asymmetric 2-cell/4-cell flows, temporal oscillation with intermittency, temporal chaotic oscillation and temporal oscillation with pseudo intermittency. Among these possible physically realizable fully developed flows, stable multi-cell state and stable steady 2-cell state exist as dual stable. And oscillation with pseudo intermittency is a new phenomenon. In addition to the temporal oscillation with intermittency, sudden shift from stationary stable solution to temporal chaotic oscillation is identified to be another way of onset of chaos.
Persistent Identifierhttp://hdl.handle.net/10722/75678
ISSN
2015 Impact Factor: 2.639
2015 SCImago Journal Rankings: 2.126

 

DC FieldValueLanguage
dc.contributor.authorYang, T-
dc.contributor.authorWang, L-
dc.date.accessioned2010-09-06T07:13:30Z-
dc.date.available2010-09-06T07:13:30Z-
dc.date.issued2002-
dc.identifier.citationComputational Mechanics, 2002, v. 29 n. 6, p. 520-531-
dc.identifier.issn0178-7675-
dc.identifier.urihttp://hdl.handle.net/10722/75678-
dc.description.abstractA numerical study is made on the fully developed bifurcation structure and stability of forced convection in a rotating curved duct of square cross-section. Solution structure is determined as variation of a parameter that indicates the effect of rotation (Coriolis-force-driven multiplicity). Three solutions for the flows in a stationary curved duct obtained in the work of Yang and Wang [1] are used as initial solutions of continuation calculations to unfold the solution branches. Twenty-one solution branches are found comparing with five obtained by Selmi and Nandakumar [2]. Dynamic responses of the multiple solutions to finite random disturbances are examined by the direct transient computation. Results show that characteristics of physically realizable fully developed flows changes significantly with variation of effect of rotation. Fourteen sub-ranges are identified according to characteristics of physically realizable solutions. As rotation effect changes, possible physically realizable fully-developed flows can be stable steady 2-cell state, stable multi-cell state, temporal periodic oscillation between symmetric/asymmetric 2-cell/4-cell flows, temporal oscillation with intermittency, temporal chaotic oscillation and temporal oscillation with pseudo intermittency. Among these possible physically realizable fully developed flows, stable multi-cell state and stable steady 2-cell state exist as dual stable. And oscillation with pseudo intermittency is a new phenomenon. In addition to the temporal oscillation with intermittency, sudden shift from stationary stable solution to temporal chaotic oscillation is identified to be another way of onset of chaos.-
dc.languageeng-
dc.publisherSpringer-Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htm-
dc.relation.ispartofComputational Mechanics-
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/s00466-002-0361-8-
dc.subjectBifurcation (mathematics)-
dc.subjectChaos theory-
dc.subjectComputational methods-
dc.subjectDucts-
dc.subjectOscillations-
dc.titleBody-force-driven multiplicity and stability of combined free and forced convection in rotating curved ducts: Coriolis force-
dc.typeArticle-
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0178-7675&volume=29&spage=520&epage=531&date=2002&atitle=Body-force-driven+multiplicity+and+stability+of+combined+free+and+forced+convection+in+curved+ductsen_HK
dc.identifier.emailWang, L: lqwang@hkucc.hku.hk-
dc.identifier.authorityWang, L=rp00184-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00466-002-0361-8-
dc.identifier.scopuseid_2-s2.0-0036869310-
dc.identifier.hkuros79595-
dc.identifier.volume29-
dc.identifier.issue6-
dc.identifier.spage520-
dc.identifier.epage531-
dc.publisher.placeBerlin, Germany-

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