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Modelling mesoscale turbulence in clustered gas–solid flows based on particle-resolved simulation data

Published online by Cambridge University Press:  13 October 2025

Yan Xia Open the ORCID record for Yan Xia [Opens in a new window] ,
Zhaowu Lin Open the ORCID record for Zhaowu Lin [Opens in a new window]  and
Zhaosheng Yu Open the ORCID record for Zhaosheng Yu [Opens in a new window]
Yan Xia
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, PR China
Zhaowu Lin
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, PR China
Zhaosheng Yu*
Affiliation:
State Key Laboratory of Fluid Power and Mechatronic System, Department of Mechanics, Zhejiang University, Hangzhou 310027, PR China
*
Corresponding author: Zhaosheng Yu, yuzhaosheng@zju.edu.cn
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Abstract

Gas-phase turbulence in a bubbling gas–solid fluidised bed is modelled using the data from particle-resolved direct numerical simulations. The subgrid particle-induced turbulent kinetic energy (TKE) is modelled as a function of filter width, filtered solid volume fraction, particle Reynolds number and filtered gas-phase strain rate tensor. Within the volume-filtered framework, we demonstrate that the fluid Reynolds stress models originally developed for a homogeneous system remain applicable to the inhomogeneous fluidised bed, provided that the inhomogeneous drag and particle-induced TKE models are used for the dissipation rate interfacial term. An algebraic model for the anisotropy of gas-phase velocity variance is developed by simplifying the proposed Reynolds stress equation model, which incorporates the effects from both filtered slip velocity and filtered fluid strain rate. The new models are shown to agree well with the direct numerical simulation data of clustered particle settling systems, indicating good applicability of our models for various clustered particle-laden flows.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows

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JFM Papers
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Journal of Fluid Mechanics , Volume 1021 , 25 October 2025 , A6
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© The Author(s), 2025. Published by Cambridge University Press

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