Dynamics of high-Deborah-number entry flows: a numerical study

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

A. M. Afonso (Autor) FEUP; P. J. Oliveira (Autor) Outra; F. T. Pinho (Autor) FEUP; M. A. Alves (Autor) FEUP

Revista

Título: Journal of Fluid Mechanics

Vol. 677 Nº JUN 2011

Páginas: 272-304

ISSN: 0022-1120

Editora: Cambridge University Press

Indexação

ISI Web of Knowledge - 36 Citações

ISI Web of Science

Scopus - 48 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

Outras Informações

ID Authenticus: P-002-R4Y

DOI: 10.1017/jfm.2011.84

Abstract (EN): High-elasticity simulations of flows through a two-dimensional (2D) 4 : 1 abrupt contraction and a 4 : 1 three-dimensional square-square abrupt contraction were performed with a finite-volume method implementing the log-conformation formulation, proposed by Fattal & Kupferman (J. Non-Newtonian Fluid Mech., vol. 123, 2004, p. 281) to alleviate the high-Weissenberg-number problem. For the 2D simulations of Boger fluids, modelled by the Oldroyd-B constitutive equation, local flow unsteadiness appears at a relatively low Deborah number (De) of 2.5. Predictions at higher De were possible only with the log-conformation technique and showed that the periodic unsteadiness grows with De leading to an asymmetric flow with alternate back-shedding of vorticity from pulsating upstream recirculating eddies. This is accompanied by a frequency doubling mechanism deteriorating to a chaotic regime at high De. The log-conformation technique provides solutions of accuracy similar to the thoroughly tested standard finite-volume method under steady flow conditions and the onset of a time-dependent solution occurred approximately at the same Deborah number for both formulations. Nevertheless, for Deborah numbers higher than the critical Deborah number, and for which the standard iterative technique diverges, the log-conformation technique continues to provide stable solutions up to quite (impressively) high Deborah numbers, demonstrating its advantages relative to the standard methodology. For the 3D contraction, calculations were restricted to steady flows of Oldroyd-B and Phan-Thien-Tanner (PTT) fluids and very high De were attained (De approximate to 20 for PTT with epsilon = 0.02 and De approximate to 10 000 for PTT with epsilon = 0.25), with prediction of strong vortex enhancement. For the Boger fluid calculations, there was inversion of the secondary flow at high De, as observed experimentally by Sousa et al. (J. Non-Newtonian Fluid Mech., vol. 160, 2009, p. 122).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 33