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General model for segregation forces in flowing granular mixtures

Published online by Cambridge University Press:  29 July 2024

Yifei Duan Open the ORCID record for Yifei Duan [Opens in a new window] ,
Lu Jing Open the ORCID record for Lu Jing [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, IL 60208, USA
Lu Jing
Affiliation:
Institute for Ocean Engineering, Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, PR China State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, PR China
Paul B. Umbanhowar
Affiliation:
Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA
Julio M. Ottino
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL 60208, USA Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, IL 60208, USA
Richard M. Lueptow*
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL 60208, USA Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, IL 60208, USA
*
†Email address for correspondence: r-lueptow@northwestern.edu
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Abstract

Particle segregation in dense flowing size-disperse granular mixtures is driven by gravity and shear, but predicting the associated segregation force due to both effects has remained an unresolved challenge. Here, a model of the combined gravity- and kinematics-induced segregation force on a single intruder particle is integrated with a model of the concentration dependence of the gravity-induced segregation force. The result is a general model of the net particle segregation force in flowing size-bidisperse granular mixtures. Using discrete element method simulations for comparison, the model correctly predicts the segregation force for a variety of mixture concentrations and flow conditions in both idealized and natural shear flows.

JFM classification

Granular media: Dry granular material Mixing: Granular mixing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 989 , 25 June 2024 , A17
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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