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

doi:10.1088/1674-1056/21/7/078201

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.

Keywords: ball motion energy transfer kinetic model milling ball

Received: 31 October 2011
Revised: 09 April 2012
Accepted manuscript online:

PACS:	82.20.Fd	(Collision theories; trajectory models)
	34.50.Ez	(Rotational and vibrational energy transfer)

Fund: 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.

Corresponding Authors: Yan Jian-Hua
E-mail: yanjh@zju.edu.cn

Cite this article:

Lu Sheng-Yong(陆胜勇), Mao Qiong-Jing(毛琼晶), Peng Zheng(彭政), Li Xiao-Dong(李晓东), and Yan Jian-Hua(严建华) Simulation of ball motion and energy transfer in a planetary ball mill 2012 Chin. Phys. B 21 078201

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

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