R. N. Chacko
Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions
Chacko, R. N.; Mari, R.; Cates, M. E.; Fielding, S. M.
M. E. Cates
Professor Suzanne Fielding firstname.lastname@example.org
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.
Chacko, R., Mari, R., Cates, M., & Fielding, S. (2018). Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions. Physical Review Letters, 121(10), Article 108003. https://doi.org/10.1103/physrevlett.121.108003
|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|
|Publisher||American Physical Society|
|Peer Reviewed||Peer Reviewed|
Accepted Journal Article
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.
Published Journal Article
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