Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions

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

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.

Citation

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
• 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