Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (6): 953-966.doi: https://doi.org/10.1007/s10483-020-2621-9

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Assessment of force models on finite-sized particles at finite Reynolds numbers

Ruyang LI, Weixi HUANG, Lihao ZHAO, Chunxiao XU   

  1. Applied Mechanics Laboratory(AML), Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
  • 收稿日期:2019-12-19 修回日期:2020-03-18 发布日期:2020-06-08
  • 通讯作者: Weixi HUANG E-mail:hwx@tsinghua.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Nos. 11490551, 11772172, and 11702158)

Assessment of force models on finite-sized particles at finite Reynolds numbers

Ruyang LI, Weixi HUANG, Lihao ZHAO, Chunxiao XU   

  1. Applied Mechanics Laboratory(AML), Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
  • Received:2019-12-19 Revised:2020-03-18 Published:2020-06-08
  • Contact: Weixi HUANG E-mail:hwx@tsinghua.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 11490551, 11772172, and 11702158)

摘要: Finite-sized inertial spherical particles are fully-resolved with the immersed boundary projection method (IBPM) in the turbulent open-channel flow by direct numerical simulation (DNS). The accuracy of the particle surface force models is investigated in comparison with the total force obtained via the fully-resolved method. The results show that the steady-state resistance only performs well in the streamwise direction, while the fluid acceleration force, the added-mass force, and the shear-induced Saffman lift can effectively compensate for the large-amplitude and high-frequency characteristics of the particle surface forces, especially for the wall-normal and spanwise components. The modified steady-state resistance with the correction effects of the acceleration and the fluid shear can better represent the overall forces imposed on the particles, and it is a preferable choice of the surface force model in the Lagrangian point-particle method.

关键词: finite-sized particle, immersed boundary projection method (IBPM), force model, Saffman lift

Abstract: Finite-sized inertial spherical particles are fully-resolved with the immersed boundary projection method (IBPM) in the turbulent open-channel flow by direct numerical simulation (DNS). The accuracy of the particle surface force models is investigated in comparison with the total force obtained via the fully-resolved method. The results show that the steady-state resistance only performs well in the streamwise direction, while the fluid acceleration force, the added-mass force, and the shear-induced Saffman lift can effectively compensate for the large-amplitude and high-frequency characteristics of the particle surface forces, especially for the wall-normal and spanwise components. The modified steady-state resistance with the correction effects of the acceleration and the fluid shear can better represent the overall forces imposed on the particles, and it is a preferable choice of the surface force model in the Lagrangian point-particle method.

Key words: finite-sized particle, immersed boundary projection method (IBPM), force model, Saffman lift

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