Journal
AICHE JOURNAL
Volume 61, Issue 5, Pages 1524-1534Publisher
WILEY
DOI: 10.1002/aic.14780
Keywords
particulate flows; mathematical modeling; mixing
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Funding
- NSF [CMMI-1000469]
- Dow Chemical Company
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Quantitatively predicting segregation of size-disperse granular materials is of potential value in many industrial applications. We consider granular segregation of size-bidisperse particles in quasi-2D bounded heaps, a canonical granular flow, using an advection-diffusion transport equation with an additional term to account for particle segregation. The equation is characterized by two dimensionless parameters that are functions of control parameters (flow rate, system size, and particle sizes) and kinematic parameters (flowing layer depth, diffusion coefficient, and percolation length scale). As the kinematic parameters are usually difficult to measure in practice, their dependence on the control parameters is determined directly from discrete element method simulations. Using these relationships, it is possible to determine which values of the control parameters result in a mixed or segregated heap. The approach used here is broadly applicable to a wide range of other flow geometries and particle systems. (c) 2015 American Institute of Chemical Engineers AIChE J, 61: 1524-1534, 2015
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