New insights into the extended and generalised PTT constitutive differential equations: weak flows

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Ferras, LL (Author) FEUP; Afonso, AM (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Fluid Dynamics Research

Vol. 55

ISSN: 0169-5983

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00Y-CBD

DOI: 10.1088/1873-7005/acd0d4

Abstract (EN): This work presents a comparison between the PTT-X (extended Phan-Thien and Tanner (PTT)) and the generalised PTT (gPTT) viscoelastic models. The PTT-X model was derived based on a combination of reptation and network theories, allowing in this way a microstructural justification for the kernel function. The gPTT model is based on the network theory, with an empirical kernel function for the rate of destruction of junctions, that proved to be effective fitting experimental rheological data for polymer melts and solutions. A review on the background of both models is provided and the two models are then compared considering simple flows. This comparison allows one to attribute in some way a microstructural nature to the parameters involved in the gPTT model. Also, a new analytical solution is derived for the Poiseuille flow of the PTT-X model.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13