Modeling breakage rates of coarse particles in ball mills
Modeling breakage rates of coarse particles in ball mills
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DOI：
10.1016/j.mineng.2009.03.015
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发表时间：
2009-06
影响因子：
4.8
通讯作者：
L. M. Tavares;R. Carvalho
中科院分区：
文献类型：
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作者：
L. M. Tavares;R. Carvalho
粗颗粒在球磨机中的破碎率通常遵循非一阶动力学，批磨的分布产物除了受冲击破碎外，通常还受磨损的显著影响，而传统的粒度-质量平衡公式无法很好地描述这一点。在这种情况下，颗粒在每次应力事件中受到的冲击往往不足以产生破碎，因此它们被磨损和冲击共同破坏，并且颗粒由于不成功的应力事件而减弱。本文提出了一种考虑磨机内应力能分布、物料中颗粒断裂能分布的间歇磨矿数学模型，该模型描述了破碎介质的冲击破碎、磨损和反复冲击的削弱。将该模型用于描述两种物料在批磨过程中的消失率，取得了较好的效果。
Breakage rates of coarse particles in ball mills generally follow non-first-order kinetics and the distribution products from batch milling are often characterized by significant contributions of abrasion besides breakage by impact, which are not well described using traditional size–mass balance formulations. Under such conditions, particles are often subject to impacts of insufficient magnitude to produce breakage in each stressing event, so that they are broken by a combination of abrasion and impact and also particles undergo weakening due to unsuccessful stressing events. The paper presents a mathematical model of batch grinding which takes into account the distribution of stressing energies in the mill, the distribution of fracture energies of particles contained in the charge, describing breakage by impacts from grinding media producing catastrophic breakage, abrasion and weakening from repeated impacts. The model has been applied to describe the rate of disappearance of two materials in batch grinding with good results.