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

TitleDevelopment length of fluids modelled by the gPTT constitutive differential equation
Author(s)Bertoco, Juliana
Leiva, Rosalía T.
Ferrás, Luís Jorge Lima
Afonso, Alexandre M.
Castelo, Antonio
Keywordsviscoelastic fluids
finite-differences
development length
generalised PTT model
Issue date4-Nov-2021
PublisherMDPI
JournalApplied Sciences
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
Abstract(s)In 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.
TypeArticle
URIhttps://hdl.handle.net/1822/75239
DOI10.3390/app112110352
e-ISSN2076-3417
Publisher versionhttps://www.mdpi.com/2076-3417/11/21/10352
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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