中国物理B ›› 2012, Vol. 21 ›› Issue (7): 78201-078201.doi: 10.1088/1674-1056/21/7/078201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Simulation of ball motion and energy transfer in a planetary ball mill

陆胜勇a, 毛琼晶a, 彭政b, 李晓东a, 严建华a   

  1. a State Key Laboratory of Clean Energy Utilization, Institute for Thermal Power Engineering of Zhejiang University, Hangzhou 310027, China;
    b Foreign Economic Cooperation Office, Ministry of Environmental Protection ofPeople's Republic of China, Beijing 100035, China
  • 收稿日期:2011-10-31 修回日期:2012-04-09 出版日期:2012-06-01 发布日期:2012-06-01
  • 基金资助:
    Project supported by the Major State Basic Research Development Program of China (Grant No. 2011CB201500), the Science and Technology Project of Zhejiang Province, China (Grant No. 2009C13004), the National Key Technology R&D Program of China (Grant No. 2007BAC27B04-4), the Program of Introducing Talents of Disciplinary to University, China (Grant No. B08026), and Y. C. Tang Disciplinary Development Fund of Zhejiang University, China.

Simulation of ball motion and energy transfer in a planetary ball mill

Lu Sheng-Yong(陆胜勇)a), Mao Qiong-Jing(毛琼晶)a), Peng Zheng(彭政)b), Li Xiao-Dong(李晓东)a), and Yan Jian-Hua(严建华)a)†   

  1. a State Key Laboratory of Clean Energy Utilization, Institute for Thermal Power Engineering of Zhejiang University, Hangzhou 310027, China;
    b Foreign Economic Cooperation Office, Ministry of Environmental Protection ofPeople's Republic of China, Beijing 100035, China
  • Received:2011-10-31 Revised:2012-04-09 Online:2012-06-01 Published:2012-06-01
  • Contact: Yan Jian-Hua E-mail:yanjh@zju.edu.cn
  • Supported by:
    Project supported by the Major State Basic Research Development Program of China (Grant No. 2011CB201500), the Science and Technology Project of Zhejiang Province, China (Grant No. 2009C13004), the National Key Technology R&D Program of China (Grant No. 2007BAC27B04-4), the Program of Introducing Talents of Disciplinary to University, China (Grant No. B08026), and Y. C. Tang Disciplinary Development Fund of Zhejiang University, China.

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摘要： A kinetic model is proposed for simulating the trajectory of a single milling ball in a planetary ball mill, and a model is also proposed for simulating the local energy transfer during the ball milling process under no-slip condition. Based on the kinematics of ball motion, the collision frequency and power are described and the normal impact forces and effective power are derived from analyses of collision geometry. The Hertzian impact theory is applied to formulate these models, after having established some relationships among geometric, dynamic, and thermophysical parameters. Simulation is carried out based on two models, and the effects of the rotation velocity of the planetary disk Ω and the vial-to-disk speed ratio ω/ Ω on other kinetic parameters have been investigated. As a result, the optimal ratio ω/Ω to obtain high impact energy in the standard operating condition at Ω =800 rpm is estimated, which is equal to 1.15.

关键词: ball motion, energy transfer, kinetic model, milling ball

Abstract: A kinetic model is proposed for simulating the trajectory of a single milling ball in a planetary ball mill, and a model is also proposed for simulating the local energy transfer during the ball milling process under no-slip condition. Based on the kinematics of ball motion, the collision frequency and power are described and the normal impact forces and effective power are derived from analyses of collision geometry. The Hertzian impact theory is applied to formulate these models, after having established some relationships among geometric, dynamic, and thermophysical parameters. Simulation is carried out based on two models, and the effects of the rotation velocity of the planetary disk Ω and the vial-to-disk speed ratio ω/ Ω on other kinetic parameters have been investigated. As a result, the optimal ratio ω/Ω to obtain high impact energy in the standard operating condition at Ω =800 rpm is estimated, which is equal to 1.15.

Key words: ball motion, energy transfer, kinetic model, milling ball

中图分类号:  (Collision theories; trajectory models)

  • 82.20.Fd
34.50.Ez (Rotational and vibrational energy transfer)