File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1016/S0017-9310(02)00329-0
- Scopus: eid_2-s2.0-0037292531
- WOS: WOS:000180423000004
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section
Title | Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section |
---|---|
Authors | |
Issue Date | 2003 |
Publisher | Pergamon. 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? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/75741 |
ISSN | 2023 Impact Factor: 5.0 2023 SCImago Journal Rankings: 1.224 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, T | en_HK |
dc.contributor.author | Wang, L | en_HK |
dc.date.accessioned | 2010-09-06T07:14:06Z | - |
dc.date.available | 2010-09-06T07:14:06Z | - |
dc.date.issued | 2003 | en_HK |
dc.identifier.citation | International Journal Of Heat And Mass Transfer, 2003, v. 46 n. 4, p. 613-629 | en_HK |
dc.identifier.issn | 0017-9310 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75741 | - |
dc.description.abstract | A 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.language | eng | en_HK |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt | en_HK |
dc.relation.ispartof | International Journal of Heat and Mass Transfer | en_HK |
dc.title | Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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-section | en_HK |
dc.identifier.email | Wang, L:lqwang@hkucc.hku.hk | en_HK |
dc.identifier.authority | Wang, L=rp00184 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/S0017-9310(02)00329-0 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0037292531 | en_HK |
dc.identifier.hkuros | 79599 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0037292531&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 46 | en_HK |
dc.identifier.issue | 4 | en_HK |
dc.identifier.spage | 613 | en_HK |
dc.identifier.epage | 629 | en_HK |
dc.identifier.isi | WOS:000180423000004 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Yang, T=7404655973 | en_HK |
dc.identifier.scopusauthorid | Wang, L=35235288500 | en_HK |
dc.identifier.issnl | 0017-9310 | - |