Semi-Analytical Solutions for the Poiseuille-Couette Flow of a Generalised Phan-Thien-Tanner Fluid

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Ângela M. Ribau (Author) Other; Luís L. Ferrás (Author) Other; Maria L. Morgado (Author) Other; Magda Rebelo (Author) Other; Alexandre M. Afonso (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: FLUIDS

Vol. 4 No. 3

Pages: 1-11

ISSN: 2311-5521

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 10 Citations

Associated Projects

MOLDPRO - Aproximações multi-escala para moldação por injeção de materiais plásticos

Other information

Authenticus ID: P-00R-1D9

DOI: 10.3390/fluids4030129

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11