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Dynamic vorticity banding in discontinuously shear thickening suspensions.

Chacko, R. N. and Mari, R. and Cates, M. E. and Fielding, S. M. (2018) 'Dynamic vorticity banding in discontinuously shear thickening suspensions.', Physical review letters., 121 (10). p. 108003.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1103/PhysRevLett.121.108003
Publisher 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.
Supplementary material:https://journals.aps.org/prl/supplemental/10.1103/PhysRevLett.121.108003
Date accepted:15 August 2018
Date deposited:11 September 2018
Date of first online publication:07 September 2018
Date first made open access:No date available

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