基于磨矿动力学方程的磨矿技术效率模型及试验研究  

Experimental study and grinding technical efficiency model based on grinding kinetic equation

作　　者：郭旺 李艳军[3] 邢耀文[1,2] 桂夏辉[1,2] GUO Wang;LI Yanjun;XING Yaowen;GUI Xiahui(State Key Laboratory of Coking Coal Resources Green Exploitation,China University of Mining and Technology,Xuzhou 221116,China;National Engineering Research Center for Coal Preparation and Purification,China University of Mining and Technology,Xuzhou 221116,China;School of Resources&Civil Engineering,Northeastern University,Shenyang 110819,China)

机构地区：[1]中国矿业大学炼焦煤资源绿色开发全国重点实验室,江苏徐州221116 [2]中国矿业大学国家煤加工洁净化工程技术研究中心,江苏徐州221116 [3]东北大学资源与土木工程学院,辽宁沈阳110819

出　　处：《中南大学学报（自然科学版）》2024年第11期4056-4065,共10页Journal of Central South University:Science and Technology

基　　金：国家重点研发项目(2021YFC2900800);国家自然科学基金资助项目(52204293,52104277,52074067)。

摘　　要：为了提高磨矿过程中粗粒级粉碎生成合格粒级的效率,本文基于磨矿动力学方程构建了磨矿技术效率新模型,并进行了试验验证。首先,根据磨矿动力学模型,建立磨矿过程中各个粒级质量分数随时间变化的数学表达式;然后,将各粒级的磨矿动力学数学表达式与磨矿技术效率方程相结合,构建出新的磨矿技术效率模型;最后,通过不同磨矿介质尺寸和搅拌器转速的磨矿动力学试验,验证新建模型的有效性。研究结果表明:磨矿技术效率与粗粒级、过粉碎粒级的磨矿速率k有关,并随时间变化而变化;在某一时间点处,磨矿技术效率达到峰值,将该时间点作为物料在磨机内的停留时间时,可以实现粗粒级破碎生成合格粒级效率的最大化;>0.015 mm和>0.074 mm粒级质量分数随磨矿时间的变化符合一阶磨矿动力学方程,当磨矿介质尺寸为8 mm时,磨机的磨矿技术效率最大,提高搅拌器转速会减小峰值所对应的磨矿技术效率,增大介质尺寸和提高搅拌器转速均可以缩短峰值所对应的磨矿时间。In order to improve the efficiency of the conversion of the coarse size interval to the desired size interval during the grinding process,a new grinding technical efficiency model was constructed based on grinding kinetic equation,and the experimental verification was carried out.Firstly,a mathematical formula of the change of the yield of each size interval with grinding time during grinding process was established based on the grinding kinetics model.Secondly,a new grinding technical efficiency model was established by coupling the grinding technical efficiency equation and the mathematical formula of each size interval.Finally,grinding kinetics experiments were conducted with different grinding media sizes and stirrer speeds to validate the new model.The results show that the grinding technical efficiency,which is a function of the grinding time,is related to the grinding rate k of the coarse size and the overgrinding size interval.In addition,the grinding technical efficiency reaches the peak value for a certain grinding time.When this grinding time is used as the time that the material retains in the mill,the maximum efficiency of the conversion of the coarse size interval to the desired size interval can be achieved.Furthermore,through conducting the kinetic experiment of the grinding media size and the stirrer speed in a stirred mill,the change of the yield of the size interval of>0.074 mm and>0.015 mm with the grinding time follows the first-order breakage kinetics during the grinding process.When the grinding media size is 8 mm,the grinding technical efficiency of the mill is the highest,and increasing the stirrer speed can reduce the grinding technical efficiency of the peak value.Increasing the size of the grinding media and the stirrer speed can reduce the grinding time when it reaches the peak value.

关 键 词：磨矿技术效率 磨矿动力学 峰值点 磨矿速率 

分 类 号：TD921[矿业工程—选矿]