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Dependence of the dissipated energy of particles on the sizes and numbers of particles and balls in a planetary ball mill
Chemical Engineering Research and Design ( IF 3.9 ) Pub Date : 2021-01-08 , DOI: 10.1016/j.cherd.2020.12.024
Fumie Hirosawa , Tomohiro Iwasaki

The dissipated energy received by the particles during collisions in a high-energy ball-milling can vary due to the breakage and/or aggregation of the particles, that is, a change in the particle size. To investigate the energy variations, a numerical analysis of the behavior of particles and balls in a planetary ball mill was carried out under various conditions, considering different sizes and numbers of particles and balls using the discrete element method (DEM). The variable sizes and numbers of particles and balls affected the contact force, collision frequency, and types of particle collisions, resulting in variations in the dissipated energy distribution and specific dissipated power, even at a constant ball-to-particle filling mass ratio (BPR). The variation in specific dissipated power was expressed as a function of the sizes of the particles and balls and the BPR. According to the obtained empirical formula, the particle-to-ball size ratio strongly affects the specific dissipated power rather than the BPR. The results suggest that based on the energy variations with particle size and number, using balls of appropriate size and number can control the dissipated energy of particles, which may lead to the designing of energy-efficient milling processes.



中文翻译:

在行星式球磨机中,颗粒的耗散能量取决于颗粒和球的大小和数量

在高能球磨中的碰撞过程中,颗粒吸收的耗能可能会由于颗粒的破裂和/或聚集(即粒径变化)而发生变化。为了研究能量变化,使用离散元素法(DEM)考虑了不同大小和数量的颗粒和球,在各种条件下对行星式球磨机中颗粒和球的行为进行了数值分析。颗粒和球的大小和数量的变化会影响接触力,碰撞频率和颗粒碰撞的类型,即使在恒定的球与颗粒填充质量比(BPR)下,也会导致耗散能量分布和比耗散功率发生变化)。比耗散功率的变化表示为颗粒和球的尺寸以及BPR的函数。根据获得的经验公式,颗粒与球的粒径比强烈影响比耗散功率,而不是BPR。结果表明,基于能量随颗粒大小和数量的变化,使用具有适当大小和数量的球可以控制颗粒的耗散能量,这可能导致设计节能磨粉工艺。

更新日期:2021-01-18
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