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Viscoelastic flow past confined objects using a micro-macro approach

Vargas, R. O., Manero, O. and Phillips, Timothy Nigel 2009. Viscoelastic flow past confined objects using a micro-macro approach. Rheologica Acta 48 (4) , pp. 373-395. 10.1007/s00397-008-0323-y

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Abstract

This paper is concerned with the numerical prediction of viscoelastic flow past a cylinder in a channel and a sphere in a cylinder using molecular-based models. The basis of the numerical method employed is a micro–macro model in which the polymer dynamics is described by the evolution of an ensemble of Brownian configuration fields. The spectral element method is used to discretize the equations in space. Comparisons are made between the macroscopic simulations based on the Oldroyd B constitutive model and microscopic simulations based on Hookean dumbbells, and excellent agreement is found. The micro–macro approach can be used to simulate models, such as the finitely extensible nonlinear elastic (FENE) dumbbell model, which do not possess a closed-form constitutive equation. Numerical simulations are performed for the FENE model. The influence of the model parameters on the flow is described and, in particular, the dependence of the drag as a function of theWeissenberg number.

Item Type: Article
Status: Published
Schools: Mathematics
Uncontrolled Keywords: FENE model; Brownian configuration fields; Spectral element method; Flow past cylinder; Flow past sphere
Publisher: Springer Verlag
ISSN: 0035-4511
Last Modified: 04 Jun 2017 02:48
URI: http://orca.cf.ac.uk/id/eprint/12343

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