Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/75239

Full metadata record
DC FieldValueLanguage
dc.contributor.authorBertoco, Julianapor
dc.contributor.authorLeiva, Rosalía T.por
dc.contributor.authorFerrás, Luís Jorge Limapor
dc.contributor.authorAfonso, Alexandre M.por
dc.contributor.authorCastelo, Antoniopor
dc.date.accessioned2022-01-06T11:42:16Z-
dc.date.available2022-01-06T11:42:16Z-
dc.date.issued2021-11-04-
dc.date.submitted2021-10-07-
dc.identifier.citationBertoco, J.; Leiva, R.T.; Ferrás, L.L.; Afonso, A.M.; Castelo, A. Development Length of Fluids Modelled by the gPTT Constitutive Differential Equation. Appl. Sci. 2021, 11, 10352. https://doi.org/10.3390/app112110352-
dc.identifier.urihttps://hdl.handle.net/1822/75239-
dc.description.abstractIn this work, we present a numerical study on the development length (the length from the channel inlet required for the velocity to reach 99% of its fully-developed value) of a pressure-driven viscoelastic fluid flow (between parallel plates) modelled by the generalised Phan–Thien and Tanner (gPTT) constitutive equation. The governing equations are solved using the finite-difference method, and, a thorough analysis on the effect of the model parameters α and β is presented. The numerical results showed that in the creeping flow limit (Re=0), the development length for the velocity exhibits a non-monotonic behaviour. The development length increases with Wi. For low values of Wi, the highest value of the development length is obtained for α=β=0.5; for high values of Wi, the highest value of the development length is obtained for α=β=1.5. This work also considers the influence of the elasticity number.por
dc.description.sponsorshipThis research was funded by FCT—Fundação para a Ciência e a Tecnologia, through projects UIDB/00532/2020 and UIDP/00532/2020 of CEFT (Centro de Estudos de Fenómenos de Transporte), and through PTDC/EMS-ENE/3362/2014 and POCI-01-0145-FEDER-016665—funded by FEDER funds through COMPETE2020—Programa Operacional Competitividade e Internacionalização (POCI) and by national funds through FCT. It was also funded by FCT through the CMAT projects UIDB/00013/2020 and UIDP/00013/2020 (CMAT—Centro de Matemática e Aplicações); and was funded by Fapesp-Fundação de Amparo à Pesquisa do Estado de São Paulo, Fapesp-2017/21105-6 and Petrobrás (Project 0050.0075367.12.9). Research was carried out using the computational resources of the Center for Mathematical Sciences Applied to Industry (CeMEAI), funded by FAPESP grant 2013/07375-0.por
dc.language.isoengpor
dc.publisherMDPIpor
dc.relationUIDB/00532/2020por
dc.relationUIDP/00532/2020por
dc.relationPTDC/EMS-ENE/3362/2014por
dc.rightsopenAccesspor
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/por
dc.subjectviscoelastic fluidspor
dc.subjectfinite-differencespor
dc.subjectdevelopment lengthpor
dc.subjectgeneralised PTT modelpor
dc.titleDevelopment length of fluids modelled by the gPTT constitutive differential equationpor
dc.typearticlepor
dc.peerreviewedyespor
dc.relation.publisherversionhttps://www.mdpi.com/2076-3417/11/21/10352por
oaire.citationIssue21por
oaire.citationVolume11por
dc.identifier.eissn2076-3417por
dc.identifier.doi10.3390/app112110352por
dc.subject.fosCiências Naturais::Matemáticaspor
dc.subject.fosEngenharia e Tecnologia::Engenharia Mecânicapor
dc.subject.wosScience & Technologypor
sdum.journalApplied Sciencespor
oaire.versionVoRpor
dc.subject.odsIndústria, inovação e infraestruturaspor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
applsci-11-10352.pdf2,14 MBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID