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Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
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Orientador(es)
Resumo(s)
This work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille–Couette flows, described by the recently proposed (Ferrás 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.
Descrição
PTDC/EMS-ENE/3362/2014
POCI-01-0145-FEDER-016665
SFRH/BPD/100353/2014
UID/MAT/00297/2019
Palavras-chave
Couette flow Generalised simplified PTT Mittag–Leffler Phan-Thien–Tanner (PTT) model Poiseuille–Couette flow Condensed Matter Physics Mechanical Engineering Fluid Flow and Transfer Processes