中国物理B ›› 2011, Vol. 20 ›› Issue (2): 24502-024502.doi: 10.1088/1674-1056/20/2/024502

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Numerical simulation of two-dimensional granular shearing flows and the friction force of a moving slab on the granular media

蔡庆东1, 盛晓伟1, 陈十一2   

  1. (1)LTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China; (2)LTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China; Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
  • 收稿日期:2010-01-22 修回日期:2010-05-04 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10872005 and 10128204).

Numerical simulation of two-dimensional granular shearing flows and the friction force of a moving slab on the granular media

Cai Qing-Dong(蔡庆东)a)†, Chen Shi-Yi(陈十一)a)b), and Sheng Xiao-Wei(盛晓伟) a)   

  1. a LTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China; b Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
  • Received:2010-01-22 Revised:2010-05-04 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10872005 and 10128204).

摘要: This paper studies some interesting features of two-dimensional granular shearing flow by using molecular dynamic approach for a specific granular system. The obtained results show that the probability distribution function of velocities of particles is Gaussian at the central part, but diverts from Gaussian distribution nearby the wall. The macroscopic stress along the vertical direction has large fluctuation around a constant value, the non-zero average velocity occurs mainly near the moving wall, which forms a shearing zone. In the shearing movement, the volume of the granular material behaves in a random manner. The equivalent friction coefficient between moving slab and granular material correlates with the moving speed at low velocity, and approaches constant as the velocity is large enough.

关键词: granular shearing flow, friction, molecular dynamics modeling

Abstract: This paper studies some interesting features of two-dimensional granular shearing flow by using molecular dynamic approach for a specific granular system. The obtained results show that the probability distribution function of velocities of particles is Gaussian at the central part, but diverts from Gaussian distribution nearby the wall. The macroscopic stress along the vertical direction has large fluctuation around a constant value, the non-zero average velocity occurs mainly near the moving wall, which forms a shearing zone. In the shearing movement, the volume of the granular material behaves in a random manner. The equivalent friction coefficient between moving slab and granular material correlates with the moving speed at low velocity, and approaches constant as the velocity is large enough.

Key words: granular shearing flow, friction, molecular dynamics modeling

中图分类号: 

  • 45.79.Mg
47.11.Mn (Molecular dynamics methods)