  Under inhomogeneous flow, dense suspensions exhibit complex behaviour that
violates the conventional homogenous rheology. Specifically, one finds flowing
regions with a macroscopic friction coefficient below the yielding criterion,
and volume fraction above the jamming criterion. We demonstrate the underlying
physics by incorporating shear rate fluctuations into a recently proposed
tensor model for the microstructure and stress, and applying the model to an
inhomogeneous flow problem. The model predictions agree qualitatively with
particle-based simulations.
