Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas

doi:10.1088/1674-1056/19/10/108203

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 108203-108203.doi: 10.1088/1674-1056/19/10/108203

Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas

李寅阊¹, Sajjad Hussain Shah², 厚美瑛²

(1)Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; (2)Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; Physics Department, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2010-02-26 修回日期:2010-04-01 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10720174 and 10874209), and the Innovation Foundation of the Chinese Academy of Sciences (Grant Nos. KKCX1-YW-03 and KJCX2-YW-L08).

Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas

Sajjad Hussain Shah^a)b), Li Yin-Chang(李寅阊)^a), and Hou Mei-Ying (厚美瑛)^a)b)†

^a Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; ^b Physics Department, Beijing Institute of Technology, Beijing 100081, China

Received:2010-02-26 Revised:2010-04-01 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10720174 and 10874209), and the Innovation Foundation of the Chinese Academy of Sciences (Grant Nos. KKCX1-YW-03 and KJCX2-YW-L08).

摘要/Abstract

摘要： The motion of mono-disperse spherical steel particles in a vibration driven quasi-two-dimensional (2D) square cell is studied. The cell is horizontally vibrated to eliminate the effect of gravity compaction. The velocity distributions at different particle number densities are studied and found to obey the form exp [-β (|v_y|σ_y)^α], in which v_y and σ_y are velocity and its variance in the transverse direction, and α and β are fitting parameters. The value of α is found to decrease with the number density of particles increasing. To investigate the effect of the bottom plate, the molecular dynamics simulation without considering any bottom friction is performed. The accordance between the simulation result and the experimental result shows that the influence of bottom plate friction force on the high energy tail of the velocity distribution can be neglected.

Abstract: The motion of mono-disperse spherical steel particles in a vibration driven quasi-two-dimensional (2D) square cell is studied. The cell is horizontally vibrated to eliminate the effect of gravity compaction. The velocity distributions at different particle number densities are studied and found to obey the form $\exp[-\beta(|v_y|/\sigma_y)^{\alpha}]$, in which $v_y$ and $\sigma_y$ are velocity and its variance in the transverse direction, and $\alpha$ and $\beta$ are fitting parameters. The value of $\alpha$ is found to decrease with the number density of particles increasing. To investigate the effect of the bottom plate, the molecular dynamics simulation without considering any bottom friction is performed. The accordance between the simulation result and the experimental result shows that the influence of bottom plate friction force on the high energy tail of the velocity distribution can be neglected.

Key words: granular matter, velocity distribution

中图分类号: (Tribology and mechanical contacts)

46.55.+d

46.70.De (Beams, plates, and shells) 62.20.Qp (Friction, tribology, and hardness)

Sajjad Hussain Shah, 李寅阊, 厚美瑛. Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas[J]. 中国物理B, 2010, 19(10): 108203-108203.

Sajjad Hussain Shah, Li Yin-Chang(李寅阊), and Hou Mei-Ying (厚美瑛). Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas[J]. Chin. Phys. B, 2010, 19(10): 108203-108203.

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Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas

Effect of number density on velocity distributions in a driven quasi-two-dimensional granular gas

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