Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions [software]

Rahul Chacko, Romain Mari, Michael Cates & Suzanne Fielding
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...
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