矿石碎磨能耗数学模型  

A mathematical model describing energy consumption of crush and grinding

作　　者：文书明[1] 刘建[1] 李成必 夏晓鸥 邓久帅[1] WEN Shuming;LIU Jian;LI Chengbi;XIA Xiaoou;DENG Jiushuai(Faculty of Land Resource Engineering,Kunming University of Science and Technology,Kunming 650093,China;Beijing General Research Institute of Mining&Metallurgy Technology Group,Beijing 100160,China)

机构地区：[1]昆明理工大学国土资源工程学院,云南昆明650093 [2]北京矿冶科技集团有限公司,北京100160

出　　处：《中南大学学报（自然科学版）》2018年第9期2115-2120,共6页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51764037;51704135)~~

摘　　要：根据矿石碎磨过程中能量输入和消耗的一般规律,以破碎比和磨矿比为自变量,能耗为因变量,经过条件假设,推导出矿石破碎和磨细所需要的能耗与破碎比和磨矿比之间的统一数学模型。研究结果表明:矿石碎磨能耗与破碎比和磨矿比的n次方成正比,对于破碎和磨矿阶段,对应的指数n分别为1和1/2;破碎和磨矿的能耗系数与矿石极限应力、弹性模数、密度、比表面能等力学性质有关;通过碎矿设备生产能力计算的经验公式和邦德功指数经验公式证明了所推导的数学模型的正确性;基于该模型和碎磨能耗最低原理,获得碎磨能耗最低时矿石最佳入磨粒度计算公式。According to the common law of energy input and consumption of ore’s crush and grinding,a unified mathematical model describing energy consumption of crush and grinding was deduced based on certain assumptions,in which the size reduction ratio of crush and grinding and energy consumption were used as independent and dependent variables,respectively.The results show that energy consumption is in proportion to the nth power of size reduction ratio of crush and grinding stage,and n is 1 and 1/2 for the crushing and grinding stage,respectively.Energy consumption coefficient in the model is related to the properties of ore,such as ultimate stress,modulus of elasticity,density of ore,specific surface energy and etc.The model validity is confirmed by the results calculated by the widely used empirical formulas of crushing equipment production capacity and the Bond work index.Based on the model and the lowest energy consumption principle,the optimal particle size which is fed to grinding at lowest energy consumption is determined.

关 键 词：碎磨能耗 入磨粒度 数学模型 

分 类 号：TD-05[矿业工程]