Analytical study of the annular flow of a generalised Phan-Thien–Tanner fluid

A. M. Ribau, L. L. Ferrás, M. L. Morgado, M. Rebelo, F. T. Pinho, A. M. Afonso

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Abstract

The annular flow of complex viscoelastic fluids, described by the generalised Phan-Thien–Tanner model, is studied. This model considers the Mittag-Leffler function instead of the usual linear or exponential functions of the trace of the stress tensor, and includes two new parameters that provide additional fitting flexibility. We derive a semi-analytical solution that provides a better understanding of the behaviour of this type of fluid in annular flows and also helps to improve the modelling of complex materials.
Original languageEnglish
Pages (from-to)1307–1317
Number of pages11
JournalActa Mechanica
Volume235
Early online date7 Dec 2023
DOIs
Publication statusPublished - Feb 2024

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