A new viscoelastic benchmark flow: stationary bifurcation in a cross-slot

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

F. A. Cruz (Autor) FEUP; R. J. Poole (Autor) Outra; Afonso, AM (Autor) FEUP; Fernando Tavares De Pinho (Autor) FEUP; P. J. Oliveira (Autor) Outra; Manuel Alves (Autor) FEUP

Revista

Título: Journal of Non-Newtonian Fluid Mechanics

Vol. 214

Páginas: 57-68

ISSN: 0377-0257

Editora: Elsevier

Indexação

ISI Web of Knowledge - 12 Citações

ISI Web of Science

Scopus - 22 Citações

Classificação Científica

CORDIS: Ciências Tecnológicas

FOS: Ciências da engenharia e tecnologias

Outras Informações

ID Authenticus: P-009-Z6Q

DOI: 10.1016/j.jnnfm.2014.09.015

Abstract (EN): In this work we propose the cross-slot geometry as a candidate for a numerical benchmark flow problem for viscoelastic fluids. Extensive data of quantified accuracy is provided, obtained via Richardson extrapolation to the limit of infinite refinement using results for three different mesh resolutions, for the upper-convected Maxwell, Oldroyd-B and the linear form of the simplified Phan-Thien-Tanner constitutive models. Furthermore, we consider two types of flow geometry having either sharp or rounded corners, the latter with a radius of curvature equal to 5% of the channel's width. We show that for all models the inertialess steady symmetric flow may undergo a bifurcation to a steady asymmetric configuration, followed by a second transition to time-dependent flow, which is in qualitative agreement with previous experimental observations for low Reynolds number flows. The critical Deborah number for both transitions is quantified and a set of standard parameters is proposed for benchmarking purposes. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12