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Thickening of viscoelastic flow in a model porous medium

Hemingway, E.J.; Clarke, A.; Pearson, J.R.A.; Fielding, S.M.

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Authors

E.J. Hemingway

A. Clarke

J.R.A. Pearson



Abstract

We study numerically two-dimensional creeping viscoelastic flow past a biperiodic square array of cylinders within the Oldroyd B, FENE-CR and FENE-P constitutive models of dilute polymer solutions. Our results capture the initial mild decrease then dramatic upturn (‘thickening’) seen experimentally in the drag coefficient as a function of increasing Weissenberg number. By systematically varying the porosity of the flow geometry, we demonstrate two qualitatively different mechanisms underpinning this thickening effect: one that operates in the highly porous case of widely spaced obstacles, and another for more densely packed obstacles, with a crossover between these two mechanisms at intermediate porosities. We also briefly consider 2D creeping viscoelastic flow past a linear array of cylinders confined to a channel, where we find that the flow is steady for all Weissenberg numbers explored.

Citation

Hemingway, E., Clarke, A., Pearson, J., & Fielding, S. (2017). Thickening of viscoelastic flow in a model porous medium. Journal of Non-Newtonian Fluid Mechanics, 251, 56-68. https://doi.org/10.1016/j.jnnfm.2017.11.002

Journal Article Type Article
Acceptance Date Nov 11, 2017
Online Publication Date Nov 13, 2017
Publication Date Nov 13, 2017
Deposit Date Nov 29, 2017
Publicly Available Date Jan 3, 2024
Journal Journal of Non-Newtonian Fluid Mechanics
Print ISSN 0377-0257
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 251
Pages 56-68
DOI https://doi.org/10.1016/j.jnnfm.2017.11.002
Public URL https://durham-repository.worktribe.com/output/1339001

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