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Dense granular systems that consist of particles of disparate sizes segregatebased on size during flow, resulting in complex, coupled segregation and flowpatterns. The ability to predict how granular mixtures segregate is importantin the design of industrial processes and the understanding of geophysicalphenomena. The two primary drivers of size-segregation are pressure gradientsand shear-strain-rate gradients. In this work, we isolate size-segregationdriven by shear-strain-rate gradients by studying two dense granular flowgeometries with constant pressure fields: gravity-driven flow down a longvertical chute with rough parallel walls and annular shear flow with roughinner and outer walls. We perform discrete element method (DEM) simulations ofdense flow of bidisperse granular systems in both flow geometries, whilevarying system parameters, such as the flow rate, flow configuration size,fraction of large/small grains, and grain-size ratio, and use DEM data toinform continuum constitutive equations for the relative flux of large andsmall particles. When the resulting continuum model for the dynamics ofsize-segregation is coupled with the nonlocal granular fluidity model (anonlocal continuum model for dense granular flow rheology), we show that bothflow fields and segregation dynamics may be simultaneously captured using thiscoupled, continuum system of equations.

Coupled continuum modeling of size-segregation driven by shear-strain-rate gradients and flow in dense, bidisperse granular media