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arXiv · 1701.04233

Thickening of viscoelastic flow in a model porous medium

E. J. Hemingway·A. Clarke·J. R. A. Pearson·S. M. Fielding
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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.

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E. J. Hemingway, A. Clarke, J. R. A. Pearson, S. M. Fielding. 2017-11-29. Thickening of viscoelastic flow in a model porous medium. https://doi.org/10.1016/j.jnnfm.2017.11.002

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