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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

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

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: Fluid Dynamics Research

Vol. 55

ISSN: 0169-5983

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13