Hemingway, E.J. and Clarke, A. and Pearson, J.R.A. and Fielding, S.M. (2017) 'Thickening of viscoelastic flow in a model porous medium.', Journal of non-Newtonian fluid mechanics., 251 . pp. 56-68.
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.
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|Publisher Web site:||https://doi.org/10.1016/j.jnnfm.2017.11.002|
|Publisher 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/|
|Date accepted:||11 November 2017|
|Date deposited:||30 November 2017|
|Date of first online publication:||13 November 2017|
|Date first made open access:||13 November 2018|
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