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On extensibility effects in the cross-slot flow bifurcation

2009Journal article Open access
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dc.contributor.authorRocha, Gerardo N.pt
dc.contributor.authorPoole, R. J.
dc.contributor.authorAlves, M. A.
dc.contributor.authorOliveira, Paulo J.
dc.date.accessioned2010-04-28T10:07:37Z
dc.date.available2010-04-28T10:07:37Z
dc.date.issued2009
dc.description.abstractThe flow of finite-extensibility models in a two-dimensional planar cross-slot geometry is studied numerically, using a finite-volume method, with a view to quantifying the influences of the level of extensibility, concentration parameter, and sharpness of corners, on the occurrence of the bifurcated flow pattern that is known to exist above a critical Deborah number. The work reported here extends previous studies, in which the viscoelastic flow of upper-convected Maxwell (UCM) and Oldroyd-B fluids (i.e. infinitely extensionable models) in a cross-slot geometry was shown to go through a supercritical instability at a critical value of the Deborah number, by providing further numerical data with controlled accuracy.We map the effects of the L2 parameter in two different closures of the finite extendable non-linear elastic (FENE) model (the FENE-CR and FENE-P models), for a channel-intersecting geometry having sharp, “slightly” and “markedly” rounded corners. The results show the phenomenon to be largely controlled by the extensional properties of the constitutive model, with the critical Deborah number for bifurcation tending to be reduced as extensibility increases. In contrast, rounding of the corners exhibits only a marginal influence on the triggering mechanism leading to the pitchfork bifurcation, which seems essentially to be restricted to the central region in the vicinity of the stagnation point.pt
dc.identifier.urihttp://hdl.handle.net/10400.6/649
dc.languageeng
dc.subjectCross-slotpt
dc.subjectBifurcationpt
dc.subjectFENE modelspt
dc.subjectInstability predictionspt
dc.titleOn extensibility effects in the cross-slot flow bifurcationpt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue156, pp. 58–69pt
oaire.citation.titleJournal of Non-Newtonian Fluid Mechanicspt
person.familyNamePoole
person.familyNameAlves
person.familyNameOliveira
person.givenNameRobert
person.givenNameManuel
person.givenNamePaulo J.
person.identifier.ciencia-id3810-FB97-01DB
person.identifier.ciencia-id7A15-7012-C5DF
person.identifier.orcid0000-0001-6686-4301
person.identifier.orcid0000-0001-6585-6609
person.identifier.orcid0000-0001-9843-7558
person.identifier.ridB-7960-2008
person.identifier.ridA-9394-2008
person.identifier.ridA-4638-2009
person.identifier.scopus-author-id7102334697
person.identifier.scopus-author-id26040459500
person.identifier.scopus-author-id24280605700
rcaap.rightsopenAccess
rcaap.typearticlept
relation.isAuthorOfPublication8354a555-8319-44e6-95e0-4ca1fc7db4dd
relation.isAuthorOfPublication9e511d49-3b72-4ce7-9325-428c59118015
relation.isAuthorOfPublicationf4a5da68-73fb-4a8b-9418-669d76d75f39
relation.isAuthorOfPublication.latestForDiscovery8354a555-8319-44e6-95e0-4ca1fc7db4dd

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