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Article: Solution structure and stability of viscous flow in curved square ducts

TitleSolution structure and stability of viscous flow in curved square ducts
Authors
Issue Date2001
PublisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/Fluids
Citation
Journal Of Fluids Engineering, Transactions Of The Asme, 2001, v. 123 n. 4, p. 863-868 How to Cite?
AbstractThe bifurcation structure of viscous flow in curved square ducts is studied numerically and the stability of solutions on various solution branches is examined extensively. The solution structure of the flow is determined using the Euler-Newton continuation, the arc-length continuation, and the local parameterization continuation scheme. Test function and branch switch technique are used to monitor the bifurcation points in each continuation step and to switch branches. Up to 6 solution branches are found for the case of a flow in the curved square channel within the parameter range under consideration. Among them, three are new. The flow patterns on various bifurcation branches are also examined. A direct transient calculation is made to determine the stability of various solution branches. The results indicate that, within the scope of the present work, at given set of parameter values, the arbitrary initial disturbances lead all solutions to the same state. In addition to stable steady two-vortex solutions and temporally periodic solutions, intermittent and chaotic oscillations are discovered within a certain region of the parameter space. Temporal intermittency that is periodic for certain time intervals manifests itself by bursts of aperiodic oscillations of finite duration. After the burst, a new periodic phase starts, and so on. The intermittency serves as one of the routes for the onset of chaos. The results show that the chaotic flow in the curved channel develops through the intermittency. The chaotic oscillations appear when the number of bursts becomes large. The calculations also show that transient solutions on various bifurcation branches oscillate chaotically about the common equilibrium states at a high value of the dynamic parameter.
Persistent Identifierhttp://hdl.handle.net/10722/76118
ISSN
2015 Impact Factor: 1.283
2015 SCImago Journal Rankings: 0.756
References

 

DC FieldValueLanguage
dc.contributor.authorYang, Ten_HK
dc.contributor.authorWang, Len_HK
dc.date.accessioned2010-09-06T07:17:49Z-
dc.date.available2010-09-06T07:17:49Z-
dc.date.issued2001en_HK
dc.identifier.citationJournal Of Fluids Engineering, Transactions Of The Asme, 2001, v. 123 n. 4, p. 863-868en_HK
dc.identifier.issn0098-2202en_HK
dc.identifier.urihttp://hdl.handle.net/10722/76118-
dc.description.abstractThe bifurcation structure of viscous flow in curved square ducts is studied numerically and the stability of solutions on various solution branches is examined extensively. The solution structure of the flow is determined using the Euler-Newton continuation, the arc-length continuation, and the local parameterization continuation scheme. Test function and branch switch technique are used to monitor the bifurcation points in each continuation step and to switch branches. Up to 6 solution branches are found for the case of a flow in the curved square channel within the parameter range under consideration. Among them, three are new. The flow patterns on various bifurcation branches are also examined. A direct transient calculation is made to determine the stability of various solution branches. The results indicate that, within the scope of the present work, at given set of parameter values, the arbitrary initial disturbances lead all solutions to the same state. In addition to stable steady two-vortex solutions and temporally periodic solutions, intermittent and chaotic oscillations are discovered within a certain region of the parameter space. Temporal intermittency that is periodic for certain time intervals manifests itself by bursts of aperiodic oscillations of finite duration. After the burst, a new periodic phase starts, and so on. The intermittency serves as one of the routes for the onset of chaos. The results show that the chaotic flow in the curved channel develops through the intermittency. The chaotic oscillations appear when the number of bursts becomes large. The calculations also show that transient solutions on various bifurcation branches oscillate chaotically about the common equilibrium states at a high value of the dynamic parameter.en_HK
dc.languageengen_HK
dc.publisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/Fluidsen_HK
dc.relation.ispartofJournal of Fluids Engineering, Transactions of the ASMEen_HK
dc.titleSolution structure and stability of viscous flow in curved square ductsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0098-2202&volume=123&spage=863&epage=868&date=2001&atitle=Solution+structure+and+stability+of+viscous+flow+in+curved+square+ductsen_HK
dc.identifier.emailWang, L:lqwang@hkucc.hku.hken_HK
dc.identifier.authorityWang, L=rp00184en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0001432971en_HK
dc.identifier.hkuros70904en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0001432971&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume123en_HK
dc.identifier.issue4en_HK
dc.identifier.spage863en_HK
dc.identifier.epage868en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridYang, T=7404655973en_HK
dc.identifier.scopusauthoridWang, L=35235288500en_HK

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