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Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions

Chacko, R. N.; Mari, R.; Cates, M. E.; Fielding, S. M.

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Authors

R. N. Chacko

R. Mari

M. E. Cates



Abstract

It has recently been argued that steady-state vorticity bands cannot arise in shear thickening suspensions because the normal stress imbalance across the interface between the bands will set up particle migrations. In this Letter, we develop a simple continuum model that couples shear thickening to particle migration. We show by linear stability analysis that homogeneous flow is unstable towards vorticity banding, as expected, in the regime of negative constitutive slope. In full nonlinear computations, we show, however, that the resulting vorticity bands are unsteady, with spatiotemporal patterns governed by stress-concentration coupling. We furthermore show that these dynamical bands also arise in direct particle simulations, in good agreement with the continuum model.

Journal Article Type Article
Acceptance Date Aug 15, 2018
Online Publication Date Sep 7, 2018
Publication Date Sep 7, 2018
Deposit Date Sep 10, 2018
Publicly Available Date Sep 11, 2018
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 121
Issue 10
Article Number 108003
DOI https://doi.org/10.1103/physrevlett.121.108003
Public URL https://durham-repository.worktribe.com/output/1315245

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Copyright Statement
Reprinted with permission from the American Physical Society: Chacko, R. N., Mari, R., Cates, M. E. & Fielding, S. M. (2018). Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions. Physical Review Letters 121(10): 108003. © (2018) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.






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