椭球颗粒搅拌运动及混合特性的数值模拟研究
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摘要
为探讨在强制搅拌下同属性颗粒由分层到分布均匀状态的运动特征及规律,本研究利用三维离散单元法模拟不同转速下U形罐体内等粒径椭球颗粒的混合过程.从单颗粒随机运动轨迹、宏观颗粒流运动矢量图的角度分析颗粒混合过程的宏观混合规律及局部混合特征,定量描述混合度与搅拌叶片旋转圈数的数学关系.结果表明,强制搅拌下同属性分层颗粒的混合是在对流混合及四个局部混合共同作用下实现的;分层颗粒的混合度与搅拌轴的转速无关,而与搅拌轴旋转圈数直接相关;混合度与圈数的关系符合指数增长模型.研究结果可为散体物料增混行业的设备改进及操作控制提供依据和参考.
To investigate the motion characteristics and the law of identical property for particles obtained under segregation to uniform distribution conditions in forced agitation mixing, the mixing process of the same sized ellipsoidal particles at different rotating speeds in a U-tank is simulated using three-dimensional discrete element method. Macroscopic mixing law and partial mixing characteristics in particle mixing process are analysed in the view of single particle random motion trajectory and motion vector diagram of macroscopic particle flow. And the mathematical relation between mixability and revolutions of agitating blades is described quantitatively. Results show that convective mixing and four partial mixing characteristics control the mixing homogeneity process of identical property of segregation particles in forced agitation mixing. Mixability of segregation particles is independent of rotating speed of the agitating shaft, but has a direct correlation with revolutions. The relation between mixability and revolutions agrees with the exponential growth model. Research results can provide the basis and reference for equipment improvement and operating control of bulk material in the industry of the augmenting of mix.
To investigate the motion characteristics and the law of identical property for particles obtained under segregation to uniform distribution conditions in forced agitation mixing, the mixing process of the same sized ellipsoidal particles at different rotating speeds in a U-tank is simulated using three-dimensional discrete element method. Macroscopic mixing law and partial mixing characteristics in particle mixing process are analysed in the view of single particle random motion trajectory and motion vector diagram of macroscopic particle flow. And the mathematical relation between mixability and revolutions of agitating blades is described quantitatively. Results show that convective mixing and four partial mixing characteristics control the mixing homogeneity process of identical property of segregation particles in forced agitation mixing. Mixability of segregation particles is independent of rotating speed of the agitating shaft, but has a direct correlation with revolutions. The relation between mixability and revolutions agrees with the exponential growth model. Research results can provide the basis and reference for equipment improvement and operating control of bulk material in the industry of the augmenting of mix.
引文
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[5]Cleary P W,2013 Powder Technol.248 1035
[6]Radl S,Brandl D,Heimburg H,Glasser B J,Khinast J G 2012 Powder Technol.226 199
[7]Zhao L L 2010 Ph.D.Dissertation(Xuzhou:China University of Mining And Technology)(in Chinese)[赵啦啦2010博士学位论文(徐州:中国矿业大学)]
[8]Demagh Y,Moussa H B,Lachi M,Noui S,Bordja L2012 Powder Technol.224 260
[9]Conway S L,Lekhal A,Khinast J G,Glasser B J 2005Chem.Eng.Sci.60 7091
[10]Lemieux M,Bertrand F,Chaouki J,Gosselin P 2007Chem.Eng.Sci.62 1783
[11]Kwapinska M,Saage G,Tsotsas E 2006 Powder Technol.161 69
[12]Dubey A,Hsia H,Saranteas K,Brone D,Misra T,Muzzio F J 2011 Chem.Eng.Sci.66 5107
[13]Grajales L M,Xavier N M,Henrique J P,Thomeo J C2012 Powder Technol.222 167
[14]Hou Q F,Dong K J,Yu A B 2014 Powder Technol.256529
[15]Chandratilleke C R,Yu A B,Bridgwater J 2012 Chem.Eng.Sci.79 54
[16]Ren B,Shao Y J,Zhong WQ,Jin B S,Yuan Z L,Lu Yong 2012 Powder Technol.222 85
[17]Wu D P,Li X X,Qin Q,Guan B,Zang Y 2014 Acta Phys.Sin.63 098201(in Chinese)[吴迪平,李星祥,秦勤,管奔,臧勇2014物理学报63 098201]
[18]Han Y L,Jia F G,Tang Y R,Liu Y,Zhang Q 2014 Acta Phys.Sin.63 174501(in Chinese)[韩燕龙,贾富国,唐玉荣,刘扬,张强2014物理学报63 174501]
[19]Hu G M 2010 Analysis and Simulation of Granular System by Discrete Element Method Using EDEM(Wuhan:Wuhan University of Technology Press)p301(in Chinese)[胡国明2010颗粒系统的离散元素法分析仿真(武汉:武汉理工大学出版社)第301页]
[20]Wang R F,Li Z Y,Dou R B,Guo J Z 2013 Trans.CSAM.44 93(in Chinese)[王瑞芳,李占勇,窦如彪,郭建忠2013农业机械学报44 93]
[21]Mellmann J,2001 Powder Technol.118 251
[22]Mc Carthy J J,Khakhar D V,Ottino J M 2000 Powder Technol.109 72
[23]Cisar S E,Ottno J M 2007 AICh E J.53 1151
[24]Sudah O S,Coffin-Beach D,Muzzio F J 2002 Powder Technol.126 191
[25]Zhou Y C,Yu A B,Bridgwater J 2003 J.Chem.Technol.Biotechnol.78 187
[26]Gao H L,Chen Y C,Zhao Y Z,Zheng J Y 2011 Acta Phys.Sin.60 124501(in Chinese)[高红利,陈友川,赵永志,郑津洋2011物理学报60 124501]