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Segregation forces in dense granular flows: closing the gap between single intruders and mixtures

Published online by Cambridge University Press:  03 February 2022

Yifei Duan
Affiliation:
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL60208, USA
Lu Jing
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

Abstract

Using simulations and a virtual-spring-based approach, we measure the segregation force, $F_{seg},$ in size-bidisperse sphere mixtures over a range of concentrations, particle-size ratios and shear rates to develop a semiempirical model for $F_{seg}$ that extends its applicability from the well-studied non-interacting intruders regime to finite-concentration mixtures where cooperative phenomena occur. The model predicts the concentration below which the single-intruder assumption applies and provides an accurate description of the pressure partitioning between species.

Type
JFM Rapids
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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