Development length in planar channel flows of inelastic non-Newtonian fluids

dc.contributor.authorFernandes, Célio Bruno Pintopor
dc.contributor.authorFerrás, Luís Jorge Limapor
dc.contributor.authorAraujo, M. S.por
dc.contributor.authorNóbrega, J. M.por
dc.date.accessioned2019-03-11T15:04:51Z
dc.date.issued2018
dc.date.updated2019-03-05T11:27:40Z
dc.description.abstractThis work presents a numerical study on the development length (L = L/H) required to reach fully-developed flow conditions at the entrance of a planar channel for inelastic non-Newtonian fluids modeled by the Sisko model. The simulations were carried out for low Reynolds number flows in the range 0 < Re <= 100, for a power law index, n, in the range 1/3 <= n <= 1 and for a dimensionless infinite viscosity, <(mu)over bar>(infinity), varying in the range 0 <= (mu) over bar (infinity) <= 0.1. A new non-linear relationship between L and Re was derived, taking into account the different values of n and (mu) over bar (infinity) Moreover, new exact solutions are presented for the velocity profile under fully developed flow conditions (for specific values of n).por
dc.description.publicationversioninfo:eu-repo/semantics/publishedVersionpor
dc.description.sponsorshipC. Fernandes, J.M. Nobrega and L.L. Ferris acknowledge the funding by FEDER through the COMPETE 2020 Programme, the National Funds through FCT - Portuguese Foundation for Science and Technology under the project UID/CTM/50025/2013. L.L. Ferris would like to thank the funding by FCT through the scholarship SFRH/BPD/100353/2014. The authors acknowledge Gompute, the Texas Advanced Computing Center (TACC) at The University of Texas at Austin and the Search-ON2: Revitalization of HPC infrastructure of UMinho, (NORTE-07-0162-FEDER-000086), for providing HPC resources that have contributed to the research results reported within this paper. We would also like to thank Professors Fernando Pinho, Manuel Alves and Alexandre Afonso from the University of Porto, for their help in the preparation of a conference abstract related to a preliminary version of this work.por
dc.distributioninternationalpor
dc.identifier.doi10.1016/j.jnnfm.2018.02.011por
dc.identifier.issn0377-0257por
dc.identifier.urihttps://hdl.handle.net/1822/59425
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevier B.V.por
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147333/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBPD%2F100353%2F2014/PTpor
dc.rightsrestrictedAccesspor
dc.subjectDevelopment lengthpor
dc.subjectSisko modelpor
dc.subject.wosScience & Technology
dc.titleDevelopment length in planar channel flows of inelastic non-Newtonian fluidspor
dc.typearticle
dspace.entity.typePublicationen
oaire.citationEndPage18por
oaire.citationStartPage13por
oaire.citationVolume255por
sdum.export.identifier5341
sdum.journalJournal of Non-Newtonian Fluid Mechanicspor

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