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Modelling segregation of bidisperse granular mixtures varying simultaneously in size and density for free surface flows

Published online by Cambridge University Press:  11 May 2021

Yifei Duan Open the ORCID record for Yifei Duan [Opens in a new window] ,
Paul B. Umbanhowar Open the ORCID record for Paul B. Umbanhowar [Opens in a new window] ,
Julio M. Ottino Open the ORCID record for Julio M. Ottino [Opens in a new window]  and
Richard M. Lueptow Open the ORCID record for Richard M. Lueptow [Opens in a new window]
Yifei Duan
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL60208, USA
Paul B. Umbanhowar
Affiliation:
Department of Mechanical Engineering, Northwestern University, Evanston, IL60208, USA
Julio M. Ottino
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL60208, USA Department of Mechanical Engineering, Northwestern University, Evanston, IL60208, USA Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, IL60208, USA
Richard M. Lueptow*
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL60208, USA Department of Mechanical Engineering, Northwestern University, Evanston, IL60208, USA Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, IL60208, USA
*
†Email address for correspondence: r-lueptow@northwestern.edu
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Abstract

Flowing granular materials segregate due to differences in particle size (driven by percolation) and density (driven by buoyancy). Modelling the segregation of mixtures of large/heavy particles and small/light particles is challenging due to the opposing effects of the two segregation mechanisms. Using discrete element method (DEM) simulations of combined size and density segregation we show that the segregation velocity is well described by a model that depends linearly on the local shear rate and quadratically on the species concentration for free surface flows. Concentration profiles predicted by incorporating this segregation velocity model into a continuum advection–diffusion–segregation transport model match DEM simulation results well for a wide range of particle size and density ratios. Most surprisingly, the DEM simulations and the segregation velocity model both show that the segregation direction for a range of size and density ratios depends on the local species concentration. This leads to a methodology to determine the combination of particle size ratio, density ratio and particle concentration for which a bidisperse mixture will not segregate.

JFM classification

Granular media: Granular media Mixing: Granular mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 918 , 10 July 2021 , A20
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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