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Article: Forced convection in slightly curved microchannels

TitleForced convection in slightly curved microchannels
Authors
KeywordsBifurcation
Microchannel forced convection
Multiplicity
Numerical simulation
Stability
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt
Citation
International Journal Of Heat And Mass Transfer, 2007, v. 50 n. 5-6, p. 881-896 How to Cite?
AbstractTo address the effects of curvature, initial conditions and disturbances, a numerical study is made on the fully-developed bifurcation structure and stability of the forced convection in curved microchannels of square cross-section and curvature ratio 5 × 10-6. No matter how small it is, the channel curvature always generates the secondary flow in the channel cross-plane which increases the mean friction factor moderately and the Nusselt number significantly. Unknown initial conditions of convection lead to the co-existence of multiple steady fully-developed flows of various structures. Ten solution branches (either symmetric or asymmetric) are found with eight symmetry-breaking bifurcation points and thirty-one limit points. Thus a rich solution structure exists with the co-existence of various flow states over certain ranges of governing parameters. Dynamic responses of the multiple steady flows to finite random disturbances are examined by the direct transient computation. It is found that possible physically realizable fully-developed flows under the effect of unknown disturbances evolve, as the Dean number increases, from a stable steady 2-cell state at lower Dean number to a temporal periodic oscillation, another stable steady 2-cell state, a temporal intermittent oscillation, and a chaotic temporal oscillation. There exist no stable steady fully-developed flows in some ranges of governing parameters. Both the mean friction factor and the mean Nusselt number are also obtained and analyzed with their correlating relations listed. © 2006 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75628
ISSN
2023 Impact Factor: 5.0
2023 SCImago Journal Rankings: 1.224
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Len_HK
dc.contributor.authorLiu, Fen_HK
dc.date.accessioned2010-09-06T07:13:02Z-
dc.date.available2010-09-06T07:13:02Z-
dc.date.issued2007en_HK
dc.identifier.citationInternational Journal Of Heat And Mass Transfer, 2007, v. 50 n. 5-6, p. 881-896en_HK
dc.identifier.issn0017-9310en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75628-
dc.description.abstractTo address the effects of curvature, initial conditions and disturbances, a numerical study is made on the fully-developed bifurcation structure and stability of the forced convection in curved microchannels of square cross-section and curvature ratio 5 × 10-6. No matter how small it is, the channel curvature always generates the secondary flow in the channel cross-plane which increases the mean friction factor moderately and the Nusselt number significantly. Unknown initial conditions of convection lead to the co-existence of multiple steady fully-developed flows of various structures. Ten solution branches (either symmetric or asymmetric) are found with eight symmetry-breaking bifurcation points and thirty-one limit points. Thus a rich solution structure exists with the co-existence of various flow states over certain ranges of governing parameters. Dynamic responses of the multiple steady flows to finite random disturbances are examined by the direct transient computation. It is found that possible physically realizable fully-developed flows under the effect of unknown disturbances evolve, as the Dean number increases, from a stable steady 2-cell state at lower Dean number to a temporal periodic oscillation, another stable steady 2-cell state, a temporal intermittent oscillation, and a chaotic temporal oscillation. There exist no stable steady fully-developed flows in some ranges of governing parameters. Both the mean friction factor and the mean Nusselt number are also obtained and analyzed with their correlating relations listed. © 2006 Elsevier 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.subjectBifurcationen_HK
dc.subjectMicrochannel forced convectionen_HK
dc.subjectMultiplicityen_HK
dc.subjectNumerical simulationen_HK
dc.subjectStabilityen_HK
dc.titleForced convection in slightly curved microchannelsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0017-9310&volume=50&spage=881&epage=896&date=2007&atitle=Forced+convection+in+slightly+curved+microchannelsen_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/j.ijheatmasstransfer.2006.08.016en_HK
dc.identifier.scopuseid_2-s2.0-33846575194en_HK
dc.identifier.hkuros152122en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33846575194&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume50en_HK
dc.identifier.issue5-6en_HK
dc.identifier.spage881en_HK
dc.identifier.epage896en_HK
dc.identifier.eissn1879-2189-
dc.identifier.isiWOS:000244575000009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWang, L=35235288500en_HK
dc.identifier.scopusauthoridLiu, F=17233795400en_HK
dc.identifier.issnl0017-9310-

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