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Modeling segregation of polydisperse granular materials in developing and transient free-surface flows |
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| Authors: | Zhekai Deng Paul B. Umbanhowar Julio M. Ottino Richard M. Lueptow |
| Affiliation: | 1. Dept. of Chemical and Biological Engineering, Northwestern University, IL 60208;2. Dept. of Mechanical Engineering, Northwestern University, IL 60208;3. Dept. of Chemical and Biological Engineering, Northwestern University, IL 60208 Dept. of Mechanical Engineering, Northwestern University, IL 60208 The Northwestern University Institute on Complex Systems (NICO), Northwestern University, Evanston, IL 60208 |
| Abstract: | Predicting segregation and mixing of polydisperse granular materials in industrial processes remains a challenging problem. Here, we extend the application of a general predictive continuum model that captures the effects of segregation, diffusion, and advection in two ways. First, we consider polydisperse segregating flow in developing steady segregation and in developing unsteady segregation. In both cases, several terms in the model that were zero in the previously examined case of fully developed streamwise-periodic steady segregation in a chute are now non-zero, which makes application of the model substantially more challenging. Second, we apply the polydisperse approach to density polydisperse materials with the same particle size. Predictions of the model agree quantitatively with experimentally validated discrete element method (DEM) simulations of both size polydisperse and density polydisperse mixtures having uniform, triangular, and log-normal distributions. © 2018 American Institute of Chemical Engineers AIChE J, 65: 882–893, 2019 |
| Keywords: | polydisperse granular segregation modeling |