Abstract
We study size segregation of binary granular mixtures flowing over an inclined plane using DEM simulations. We critically examine the recently proposed scaling of the species percolation velocity with the local shear rate for different inclination angles and size ratios for an equal volume mixture of large and small spherical particles. Our DEM simulations explore a much wider range of inclination angles and shear rates for three different size ratios of large and small particles. Our results suggest that while the scaling of percolation velocity with the shear rate seems to work well for any given inclination angle, this scaling is unable to capture the influence of inclination angle on the segregation. We overcome this limitation and propose a more appropriate way of scaling the percolation velocity. This scaling, when used along with the convection-diffusion equation, is able to predict the steady state segregation of binary mixtures flowing at different inclination angles for different size ratios.
Highlights
2 Simulation methodologyUnderstanding and quantitatively predicting granular segregation due to size difference have been focus of researchers for decades [1, 2]
We investigate the shear rate based scaling of the percolation velocity for a binary granular mixture consisting of particles of two different sizes flowing over an inclined plane using discrete element method (DEM) simulations
The percolation velocity scaled by the square root of the local shear rate seems to be more appropriate and can be used to predict the size segregation of binary mixtures for a range of inclination angles and size ratios
Summary
Understanding and quantitatively predicting granular segregation due to size difference have been focus of researchers for decades [1, 2]. The authors report that percolation velocity of the species in the segregation direction, when scaled by the local shear rate [5, 6], shows a linear relation with the concentration of the other species with a constant of proportionality that depends logarithmically on the size ratio of the grains. We investigate the shear rate based scaling of the percolation velocity for a binary granular mixture consisting of particles of two different sizes flowing over an inclined plane using DEM simulations. In this configuration, we are able to explore a much wider range of shear rates compared to those used in [3, 4]. The local shear rate is obtained by numerically differentiating the velocity profile
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