Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8446
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dc.contributor.authorCruz, Daniel Onofre de Almeida-
dc.contributor.authorPinho, Fernando Manuel Coutinho Tavares de-
dc.date.accessioned2019-06-12T16:49:22Z-
dc.date.available2016-06-24-
dc.date.available2019-06-12T16:49:22Z-
dc.date.issued2015-06-24-
dc.identifier.issn0377-0257pt_BR
dc.identifier.urihttp://hdl.handle.net/11422/8446-
dc.description.abstractThe general analytical solution for the two-dimensional steady planar extensional flow with wall-free stagnation point is obtained for viscoelastic fluids described by the upper convected Maxwell model providing the stress and pressure fields. The two normal stress fields contain terms that are unbounded for |a|De < ½, |a|De > ½ and even for any |a|De, where De denotes the Deborah number and |a|De denotes the Weissenberg number, but the pressure field is only unbounded for |a|De < ½. Properties of the first invariant of the stress tensor impose relations between the various stress and pressure coefficients and also require that they are odd functions of |a|De. The solution is such that no stress singularities exist if the stress boundary conditions are equal to the stress particular solutions. For |a|De < ½ the only way for the pressure to be bounded is for the stresses to be constant in the whole extensional flow domain and equal to those particular stresses, in which case the loss of stress smoothness, reported previously in the literature, does not exist. For |a|De > ½, however, the pressure remains bounded even in the presence of stress singularities. In all flow cases studied, the stress and pressure fields are contained by the general solution, but may require some coefficients to be null.en
dc.languageengpt_BR
dc.publisherElsevieren
dc.relation.ispartofJournal of Non-Newtonian Fluid Mechanicsen
dc.rightsAcesso Abertopt_BR
dc.subjectUpper Convected Maxwell modelen
dc.subjectWall-free steady planar stagnation point flowen
dc.subjectAnalytical solutionen
dc.subjectStress and pressure fieldsen
dc.titleAnalytical solution of steady 2D wall-free extensional flows of UCM fluidsen
dc.typeArtigopt_BR
dc.identifier.doi10.1016/j.jnnfm.2015.06.001pt_BR
dc.description.resumoIndisponível.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentNúcleo Interdisciplinar de Dinâmica dos Fluidospt_BR
dc.subject.cnpqCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSpt_BR
dc.citation.volume223pt_BR
dc.citation.spage157pt_BR
dc.citation.epage164pt_BR
dc.embargo.terms365 diaspt_BR
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