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Smoothed particle hydrodynamics modelling of particle-size segregation in granular flows

Published online by Cambridge University Press:  24 January 2024

Chengwei Zhu Open the ORCID record for Chengwei Zhu [Opens in a new window] ,
Chong Peng  and
Wei Wu Open the ORCID record for Wei Wu [Opens in a new window]
Chengwei Zhu
Affiliation:
Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, 310058 Hangzhou, PR China Engineering Research Center of Urban Underground Space Development of Zhejiang Province, 310058 Hangzhou, PR China
Chong Peng
Affiliation:
ESS Engineering Software Steyr GmbH, Berggasse 35, 4400 Steyr, Austria
Wei Wu*
Affiliation:
Institut für Geotechnik, Universität für Bodenkultur, Feistmantelstraße 4, 1180 Vienna, Austria
*
†Email address for correspondence: wei.wu@boku.ac.at
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Abstract

In this work, smoothed particle hydrodynamics (SPH) is employed to investigate the segregation evolution in granular flows. We first provide the Lagrangian description-based governing equations, including the linear momentum conservation and the segregation–diffusion equation. Then the hybrid continuum surface reaction scheme is introduced to formulate the concentration-related inhomogeneous Neumann boundary condition on the free and wall surfaces. We follow a two-stage strategy to advance boundary particle searching and normal direction identification. Moreover, $C^1$ consistency is considered based on the Taylor series to obtain accurate segregation flux gradient along the boundary. Our SPH model is validated with a shear box experiment. The model is then applied to investigate the segregation mechanism in bidisperse-sized granular flows in a rotating drum.

JFM classification

Granular media: Dry granular material Mass Transport: Coupled diffusion and flow Mathematical Foundations: Computational methods
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 977 , 25 December 2023 , A47
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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