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TitleSemi-analytical solutions for the poiseuille-couette flow of a generalised Phan-Thien-Tanner fluid
Author(s)Ribau, Angela M.
Ferrás, Luís Jorge Lima
Morgado, Maria L.
Rebelo, Magda
Afonso, Alexandre M.
Keywordsgeneralised simplified PTT
Phan-Thien-Tanner (PTT) model
Couette flow
Poiseuille-Couette flow
Issue date2019
Abstract(s)This work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille-Couette flows, described by the recently proposed (Ferras 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.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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