Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Thickening of viscoelastic flow in a model porous medium.

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.

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.

Item Type:Article
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
File format - PDF
(7741Kb)
Status:Peer-reviewed
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

Save or Share this output

Export:
Export
Look up in GoogleScholar