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Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid

2019-07-12Artigo científico Acesso aberto
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dc.contributor.authorRibau, Ângela M.
dc.contributor.authorFerrás, Luís L.
dc.contributor.authorMorgado, Maria L.
dc.contributor.authorRebelo, Magda
dc.contributor.authorAfonso, Alexandre M.
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblMDPI - Multidisciplinary Digital Publishing Institute
dc.date.accessioned2020-06-03T00:50:45Z
dc.date.available2020-06-03T00:50:45Z
dc.date.issued2019-07-12
dc.descriptionPTDC/EMS-ENE/3362/2014 POCI-01-0145-FEDER-016665 SFRH/BPD/100353/2014 UID/MAT/00297/2019
dc.description.abstractThis work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille–Couette flows, described by the recently proposed (Ferrás et al., A Generalised Phan-Thien–Tanner Model, JNNFM 2019) viscoelastic model, known as the generalised Phan-Thien–Tanner constitutive equation. This generalised version considers the Mittag–Leffler function instead of the classical linear or exponential functions of the trace of the stress tensor, and provides one or two new fitting constants in order to achieve additional fitting flexibility. The analytical solutions derived in this work allow a better understanding of the model, and therefore contribute to improve the modelling of complex materials, and will provide an interesting challenge to computational rheologists, to benchmarking and to code verification.en
dc.description.versionpublished
dc.format.extent1957921
dc.identifier.doi10.3390/fluids4030129
dc.identifier.issn2311-5521
dc.identifier.otherPURE: 16196449
dc.identifier.otherPURE UUID: 6c285390-28a7-463e-88b0-ce7ad2f13ef7
dc.identifier.otherScopus: 85071481535
dc.identifier.otherWOS: 000488029400035
dc.identifier.otherORCID: /0000-0003-4115-3516/work/101442143
dc.identifier.urihttp://hdl.handle.net/10362/98743
dc.identifier.urlhttps://www.scopus.com/pages/publications/85071481535
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147370/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147204/PT
dc.subjectCouette flow
dc.subjectGeneralised simplified PTT
dc.subjectMittag–Leffler
dc.subjectPhan-Thien–Tanner (PTT) model
dc.subjectPoiseuille–Couette flow
dc.subjectCondensed Matter Physics
dc.subjectMechanical Engineering
dc.subjectFluid Flow and Transfer Processes
dc.titleSemi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluiden
dc.typejournal article
degois.publication.issue3
degois.publication.titleFLUIDS
degois.publication.volume4
dspace.entity.typePublication
oaire.awardNumberUID/MAT/00013/2013
oaire.awardNumberUID/MAT/00297/2013
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00013%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00297%2F2013/PT
oaire.fundingStream5876
oaire.fundingStream5876
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
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relation.isProjectOfPublicationd9bab5fb-9f7c-4479-b4fd-4caf5303847c
relation.isProjectOfPublication.latestForDiscoveryd9bab5fb-9f7c-4479-b4fd-4caf5303847c

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