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https://hdl.handle.net/1822/59453
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Campo DC | Valor | Idioma |
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dc.contributor.author | Ferrás, Luís Jorge Lima | por |
dc.contributor.author | Ford, Neville J. | por |
dc.contributor.author | Morgado, Maria Luisa | por |
dc.contributor.author | Rebelo, Magda | por |
dc.contributor.author | McKinley, Gareth H. | por |
dc.contributor.author | Nóbrega, J. M. | por |
dc.date.accessioned | 2019-03-12T14:15:34Z | - |
dc.date.issued | 2018-09-30 | - |
dc.identifier.issn | 0045-7930 | por |
dc.identifier.uri | https://hdl.handle.net/1822/59453 | - |
dc.description.abstract | In this work we discuss the connection between classical and fractional viscoelastic Maxwell models, presenting the basic theory supporting these constitutive equations, and establishing some background on the admissibility of the fractional Maxwell model. We then develop a numerical method for the solution of two coupled fractional differential equations (one for the velocity and the other for the stress), that appear in the pure tangential annular flow of fractional viscoelastic fluids. The numerical method is based on finite differences, with the approximation of fractional derivatives of the velocity and stress being inspired by the method proposed by Sun and Wu (2006) for the fractional diffusion-wave equation [ Z.Z. Sun, X. Wu, A fully discrete difference scheme for a diffusion-wave system, Applied Numerical Mathematics 56 (2006) 193-209]. We prove solvability, study numerical convergence of the method, and also discuss the applicability of this method for simulating the rheological response of complex fluids in a real concentric cylinder rheometer. By imposing a torsional step-strain, we observe the different rates of stress relaxation obtained with different values of alpha and beta (the fractional order exponents that regulate the viscoelastic response of the complex fluids). (C) 2018 Elsevier Ltd. All rights reserved. | por |
dc.description.sponsorship | L.L. Ferras and J.M. Nobrega would like to thank 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. Ferras would also like to thank the funding by FCT through the scholarship SFRH/BPD/100353/2014. M.L. Morgado would like to thank the funding by FCT through Project UID/MULTI/04621/2013 and M. Rebelo would also like to thank the funding by FCT through Project UID/MAT/00297/2013 (Centro de Matematica e Aplicacoes). | por |
dc.language.iso | eng | por |
dc.publisher | Pergamon-Elsevier Science Ltd | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147333/PT | por |
dc.relation | SFRH/BPD/100353/2014 | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147271/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147204/PT | por |
dc.rights | restrictedAccess | por |
dc.subject | Fractional viscoelastic model | por |
dc.subject | Annular flows | por |
dc.subject | Numerical methods | por |
dc.title | Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 14 | por |
oaire.citationEndPage | 33 | por |
oaire.citationVolume | 174 | por |
dc.date.updated | 2019-03-05T11:19:20Z | - |
dc.identifier.doi | 10.1016/j.compfluid.2018.07.004 | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 5336 | - |
sdum.journal | Computers & Fluids | por |
Aparece nas coleções: | IPC - Artigos em revistas científicas internacionais com arbitragem |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FracViscModels-published.pdf Acesso restrito! | 2,94 MB | Adobe PDF | Ver/Abrir |