卢兴福¹，左志坚²，龚曙光²，刘克俭¹，谢桂兰²

（1. 中冶长天国际工程有限责任公司，湖南 长沙 410015;2. 湘潭大学 机械工程学院,湖南 湘潭 411105）

DOI:10.13732/j.issn.1008-5548.2022.02.009

收稿日期： 2021-08-10，修回日期：2021-10-08，在线出版时间：2022-01-29。

基金项目：国家自然科学基金项目，编号：51475403。

第一作者简介：卢兴福(1985—)，男，工程师，博士，研究方向为机械设备力学行为分析。E-mail：13357213891@126.com。

通信作者简介：左志坚(1984—)，男，讲师，博士，研究方向为颗粒介质力学和CAE技术理论与应用。E-mail：zuozhijian@foxmail.com。

摘要： 为了研究不同密度的颗粒在不同结构圆筒混合机内的分离特性，采用离散元法对未安装扬料板、圆筒筒壁内侧安装扬料板、圆筒中心安装扬料板3种圆筒混合机内颗粒的分离情况进行数值模拟研究；根据颗粒径向和轴向分布、颗粒运动速度场分布，分析不同结构圆筒混合机内颗粒的流动形态，并基于统计学方法探讨圆筒混合机不同结构对颗粒分离特性的影响。结果表明：颗粒在圆筒混合机内的分离包含径向分离与轴向分离2种形态；圆筒筒壁内侧安装扬料板的圆筒混合机结构能够有效增大颗粒的运动速度，圆筒中心安装扬料板的圆筒混合机结构能够减小颗粒的运动速度；颗粒在未安装扬料板的圆筒混合机内分离性能最好，在圆筒中心安装扬料板的圆筒混合机内的分离性能最差。

关键词： 圆筒混合机；颗粒分离；离散元法；分离指数

Abstract:In order to study separation characteristics of particles with different densities in a rotating drums with different structures,discrete element method(DEM)simulations were conducted for density-driven separation characteristics in a rotating drum without lifter,with lifers on the inner side of side-wall,and with a lifter in the center.The flow form of particles in the rotating drums with different structures was analyzed in terms of the velocity field distribution,the radial and axial distribution of particles.And the influence of rotating drums with different structures on separation characteristics of particles was discussed based on the statistical method.The results show that the separation of particles in rotating drums includes two forms of radial and axial separation.The rotating drum with lifters on the inner side of side wall can effectively promote the particle speed,and the rotating drum with lifters in the center can reduce the particle speed.Particles in the rotating drum without lifter have the best separation characteristics,while particles in the rotating drum with lifter in the center have the worst separation characteristics.

Keywords:rotating drum;separation of particles;discrete element method;separation index

参考文献（References）：

[1]谭成，张克平.颗粒流体数学模型研究进展[J].河北科技大学学报,2013,34(4):293-297.

[2]刘春,乐天呈,施斌,等.颗粒离散元法工程应用的三大问题探讨[J].岩石力学与工程学报,2020,39(6):1142-1152.

[3]赵啦啦,赵跃民,刘初升,等.湿颗粒堆力学特性的离散元法模拟研究[J].物理学报,2014,63(3):034501.

[4]XIAO X,TAN Y,ZHANG H,et al.Experimental and DEM studies on the particle mixing performance in rotating drums:effect of area ratio[J].Powder Technology,2017,314:182-194.

[5]赵士奇,王春来,欧书海,等.基于离散元的烧结圆筒混合机仿真模拟[J].烧结球团,2019,44(5):18-22.

[6]JI S,WANG S,ZHOU Z.Influence of particle shape on mixing rate in rotating drums based on super-quadric DEM simulations[J].Advanced Powder Technology,2020,31:3540-3550.

[7]ZUO Z,GONG S,XIE G.Numerical simulation of granular mixing in a rotary drum using a generalized interpolation material point method [J].Asia-Pacific Journal of Chemical Engineering,2020,15:e2426.

[8]ZHANG L,WEIGLER F,IDAKIEV V,et al.Experimental study of the particle motion in flighted rotating drums by means of Magnetic Particle Tracking[J].Powder Technology,2018,339:817-826.

[9]YAMAMOTO M,ISHIHARA S,KANO J.Evolution of particle density for mixing behavior in rotating drum mixer by DEM simulation[J].Advanced Powder Technology,2016,27:684-870.

[10]LIAO C,HSIAU S,WEN S.Effect of adding a small amount of liquid on density-induced wet granular segregation in a rotating drum[J].Advanced Powder Technology,2016,27:1265-1271.

[11]LIAO C.A study of the effect of liquid viscosity on density-driven wet granular segregation in a rotating drum[J].Powder Technology,2018,325:632-638.

[12]LIAO C,OU S,CHEN S,et al.Influence of fine powder on dynamic properties and density segregation in a rotating drum[J].Advanced Powder Technology,2020,31:1702-1707.

[13]戚华彪,周光正,于福海,等.颗粒物质混合行为的离散元法研究[J].化学进展,2015,27(1):113-124.

[14]CHEN H,XIAO Y,LIU Y,et al.Effect of Young’s modulus on DEM results regarding transverse mixing of particles within a rotating drum[J].Powder Technology,2017,318:507-517.

[15]LIAO C,HUANG Y.Experimental investigate the effect of liquid distribution state on size segregation of wet granular materials in rotating drums[J].Powder Technology,2021,381:561-566.

[16]ARNTZ M,DEN OTTER W,BRIELS W,et al.Granular mixing and segregation in a horizontal rotating drum:a simulation study on the impact of rotational speed and fill level[J].AIChE Journal,2008,54(12):3133-3146.