This paper presents a scale-up procedure of parameter estimation in the selection function and breakage function from single particle impact breakage to inform the predictions at the process scale of an impact pin mill. The selection and breakage functions used in population balance model (PBM) for particle breakage in the literature are briefly reviewed. Single particle breakage tests are conducted in a vertical impact tester subject to varying impact velocities. The single particle breakage results further serve to provide the database for the parameter estimation in Vogel and Peukert model (Vogel and Peukert, 2005). The estimated parameters in the particle level are upscaled in an impact pin mill using the population balance model, which is implemented in the software gPROMS (Process Systems Enterprise, UK) (gPROMS® 4.1 Release Notes, 2016). The impact milling tests were carried out in an impact pin mill UPZ100 subject to four feed rates, providing the dataset for model validation. The sensitivity analysis of the PBM parameters was conducted to help identify their leverage on the particle size distribution. The scale-up procedure by specifying the parameters from single particle level to the process level of PBM demonstrates an approach to help predict the size reduction process subject to the prevailing mechanism in an impact pin mill and other milling processes alike.

本文提出了从单颗粒冲击破损的选择函数和破损函数中参数估计的按比例放大程序，以告知冲击式针磨机生产规模的预测。简要回顾了人口平衡模型（PBM）中用于粒子破损的选择和破损函数。在垂直冲击测试仪中进行单颗粒破损测试时会受到不同的冲击速度的影响。单个颗粒破损的结果进一步为Vogel和Peukert模型中的参数估计提供了数据库（Vogel和Peukert，2005）。使用人口平衡模型在冲击式针磨机中按比例放大了颗粒水平的估计参数，该模型在软件gPROMS（英国Process Systems Enterprise，gPROMS®4.1发行说明，2016）中实现。冲击铣削试验在冲击式针磨机UPZ100中进行，进给速率为四种，为模型验证提供了数据集。进行了PBM参数的敏感性分析，以帮助确定它们对粒度分布的影响。通过指定从单个颗粒级别到PBM的过程级别的参数的按比例放大程序，展示了一种方法来帮助预测尺寸的减小过程，该过程受冲击销磨机和其他铣削过程中的主要机制的影响。