Dynamic vorticity banding in discontinuously shear thickening suspensions

Autor:	Chacko, Rahul N., Mari, Romain, Cates, Michael E., Fielding, Suzanne M.
Rok vydání:	2018
Předmět:	Condensed Matter - Soft Condensed Matter Physics - Fluid Dynamics
Zdroj:	Phys. Rev. Lett. 121, 108003 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.121.108003
Popis:	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. Comment: 5 pages, 3 figures. Published in PRL. Copyright transferred to APS
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.10586 Zobrazit plný text záznamu View this record from Arxiv