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Article: Effect of non-normal interactions on the interfacial instability of multilayer viscoelastic channel flows

TitleEffect of non-normal interactions on the interfacial instability of multilayer viscoelastic channel flows
Authors
KeywordsGrowth Function
Interfacial Instability
Multilayer Flow
Non-Normal Interactions
Oldroyd-B
Phan-Thien-Tanner
Viscoelastic
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jnnfm
Citation
Journal of Non-Newtonian Fluid Mechanics, 2004, v. 116 n. 2-3, p. 407-429 How to Cite?
AbstractThe effect of non-normal interactions on the interfacial instability of multilayer pressure driven channel flow of viscoelastic fluids in the limit of vanishingly small Reynolds number has been investigated. Specifically, it is shown that for the upper convected Maxwell (UCM), the Oldroyd-B, and the modified Phan-Thien-Tanner (MPTT) constitutive models the short time dynamics are significantly influenced by non-normal effects both in two- and three-layer flows. Moreover, the departure from the normal exponential behavior is most pronounced in the velocity perturbations. Furthermore, in two- and three-layer symmetric flows, the non-normal effects that arise from the interaction of the interfacial mode with bulk mode dissipate very quickly and therefore do not significantly influence the growth of interfacial disturbances. However, in asymmetric three-layer flows the non-normal behavior that results from the interaction of the two interfacial modes can be very significant and can persist over very long time periods. Hence, non-normal behavior can play a very significant role in determining the growth/decay rate of interfacial disturbances. Our analysis shows that the discrepancy observed in the measured and predicted growth rates of interfacial disturbances in earlier investigations [J. Non-Newtonian Fluid Mech. 79 (1998) 315] can be attributed to the presence of non-normal interactions. © 2003 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/90815
ISSN
2015 Impact Factor: 2.172
2015 SCImago Journal Rankings: 1.134
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLin, Ben_HK
dc.contributor.authorKhomami, Ben_HK
dc.contributor.authorSureshkumar, Ren_HK
dc.date.accessioned2010-09-17T10:08:48Z-
dc.date.available2010-09-17T10:08:48Z-
dc.date.issued2004en_HK
dc.identifier.citationJournal of Non-Newtonian Fluid Mechanics, 2004, v. 116 n. 2-3, p. 407-429en_HK
dc.identifier.issn0377-0257en_HK
dc.identifier.urihttp://hdl.handle.net/10722/90815-
dc.description.abstractThe effect of non-normal interactions on the interfacial instability of multilayer pressure driven channel flow of viscoelastic fluids in the limit of vanishingly small Reynolds number has been investigated. Specifically, it is shown that for the upper convected Maxwell (UCM), the Oldroyd-B, and the modified Phan-Thien-Tanner (MPTT) constitutive models the short time dynamics are significantly influenced by non-normal effects both in two- and three-layer flows. Moreover, the departure from the normal exponential behavior is most pronounced in the velocity perturbations. Furthermore, in two- and three-layer symmetric flows, the non-normal effects that arise from the interaction of the interfacial mode with bulk mode dissipate very quickly and therefore do not significantly influence the growth of interfacial disturbances. However, in asymmetric three-layer flows the non-normal behavior that results from the interaction of the two interfacial modes can be very significant and can persist over very long time periods. Hence, non-normal behavior can play a very significant role in determining the growth/decay rate of interfacial disturbances. Our analysis shows that the discrepancy observed in the measured and predicted growth rates of interfacial disturbances in earlier investigations [J. Non-Newtonian Fluid Mech. 79 (1998) 315] can be attributed to the presence of non-normal interactions. © 2003 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jnnfmen_HK
dc.relation.ispartofJournal of Non-Newtonian Fluid Mechanicsen_HK
dc.subjectGrowth Functionen_HK
dc.subjectInterfacial Instabilityen_HK
dc.subjectMultilayer Flowen_HK
dc.subjectNon-Normal Interactionsen_HK
dc.subjectOldroyd-Ben_HK
dc.subjectPhan-Thien-Tanneren_HK
dc.subjectViscoelasticen_HK
dc.titleEffect of non-normal interactions on the interfacial instability of multilayer viscoelastic channel flowsen_HK
dc.typeArticleen_HK
dc.identifier.emailLin, B:blin@hku.hken_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jnnfm.2003.11.002en_HK
dc.identifier.scopuseid_2-s2.0-1642365770en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1642365770&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume116en_HK
dc.identifier.issue2-3en_HK
dc.identifier.spage407en_HK
dc.identifier.epage429en_HK
dc.identifier.isiWOS:000220266100012-
dc.identifier.citeulike3424112-

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