A generalised Phan-Thien-Tanner model

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

Authors

L. L. Ferrás (Author) Other; M. L. Morgado (Author) Other; M. Rebelo (Author) Other; Gareth H. McKinley (Author) Other; A. M. Afonso (Author) FEUP

Journal

Title: Journal of Non-Newtonian Fluid Mechanics

Vol. 269

Pages: 88-99

ISSN: 0377-0257

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 29 Citations

Scopus - 31 Citations

INSPEC

Associated Projects

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

Other information

Authenticus ID: P-00Q-S44

DOI: 10.1016/j.jnnfm.2019.06.001

Abstract (EN): In this work we propose a novel generalised form of the Phan¿Thien and Tanner (PTT) model by considering a new functional form of the nonlinear expression characterizing the destruction of physical network junctions and entanglements. This new function of the trace of the stress tensor is given by the generalized Mittag¿Leffler function, and contains the familiar exponential form of the original Phan¿Thien and Tanner model as a limiting case, but affords additional fitting flexibility through the inclusion of one or two additional fitting constants. We perform fits to experimental data in shear and extension and show that this generalized expression allows a better description of the rheological responses for a range of complex materials such as polymer melts and semidilute polymer solutions. By using an appropriate information criterion, we also demonstrate that the resulting generelized model remains parsimonious but provides improved fits of real world data. © 2019 The Authors

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12