Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields
type: Item
instance of: scholarly article
title: Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: Comparisons of predictions for microstructure and flow fields
zbMATH Open document ID: 0938.76011
DOI: 10.1016/S0377-0257(97)00067-0
author: Alice W. Liu
author: David E. Bornside
author: Robert C. Armstrong
author: Robert A. Brown
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 2000-06-21T00:00:00Z
review text: Numerical simulation is used to investigate the flow of polymer solutions around a periodic, linear array of cylinders by using three constitutive equations derived from kinetic theory of dilute polymer solutions: the Giesekus model; the finitely extensible, nonlinear elastic dumbbell model with Peterlin's approximation (FENE-P); and the FENE dumbbell model of Chilcott-Rallison. Finite element simulations are performed by using two different formulations: the elastic-viscous split-stress gradient method and a new discrete variant of this formulation, in which the elliptic stabilization term is added only to the discrete version of the momentum equation, and the constitutive equation is solved directly in terms of the polymer contribution to the stress tensor. The results of simulations are analyzed in detail.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 1342594
zbMATH Keywords: finitely extensible nonlinear elastic dumbbell model
zbMATH Keywords: linear array of cylinders
zbMATH Keywords: kinetic theory of dilute polymer solutions
zbMATH Keywords: Giesekus model
zbMATH Keywords: Peterlin's approximation
zbMATH Keywords: FENE dumbbell model of Chilcott-Rallison
zbMATH Keywords: elastic-viscous split gradient method
MaRDI profile type: Publication
full work available at URL: s0377-0257(97)00067-0
OpenAlex ID: W2026816601
Wikidata QID: Q127570954
description: scientific article; zbMATH DE number 1342594