E.J. Hemingway
Thickening of viscoelastic flow in a model porous medium
Hemingway, E.J.; Clarke, A.; Pearson, J.R.A.; Fielding, S.M.
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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Copyright Statement
© 2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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