Diffusion of size bidisperse spheres in dense granular shear flow

Ruihuan Cai, Hongyi Xiao, Jinyang Zheng, and Yongzhi Zhao
Phys. Rev. E 99, 032902 – Published 13 March 2019

Abstract

Diffusion is an important particle behavior in granular flow. Although granular diffusion has been studied for decades, the diffusion of size bidisperse particles has not been well understood. In this paper, discrete element method simulations with the Lees-Edwards boundary condition are performed to quantify the relation between the diffusion coefficient (D) and flow parameters for size bidisperse spheres in dense granular flow. The influences of the shear rate (γ̇), the solids fraction (f), and the diameter ratio (DLS) of particles on diffusion are studied. The effects of the friction coefficient (μ) and the restitution coefficient (e) are also investigated. The results indicate that while small particles diffuse faster than large particles in a binary system the volume weighted average diffusion coefficient is proportional to the shear rate and the square of the volume weighted average particle diameter, d2, and it is inversely proportional to the solids fraction. The quantified relation is given as D=kdγ̇d2, where kd=0.0186/f, and this relation is not sensitive to the diameter ratio for DLS3. The diffusion coefficient is not sensitive to the friction coefficient except for the extreme condition where μ<0.1, and it is also not sensitive to the restitution coefficient between 0.3 and 0.9.

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  • Received 13 September 2018
  • Revised 28 December 2018

DOI:https://doi.org/10.1103/PhysRevE.99.032902

©2019 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Ruihuan Cai1, Hongyi Xiao2,3, Jinyang Zheng1, and Yongzhi Zhao1,*

  • 1Institute of Process Equipment, Zhejiang University, Hangzhou 310027, China
  • 2Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA
  • 3Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

  • *Corresponding author: yzzhao@zju.edu.cn

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Vol. 99, Iss. 3 — March 2019

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