基于单次料层冲击破碎质量模型的球磨选择函数

中国机械工程

基于单次料层冲击破碎质量模型的球磨选择函数

毛亚郎1;孙毅1,2;计时鸣1;单继宏1;金晓航1

1.浙江工业大学机械工程学院，杭州，310014
2.浙江工业大学海洋研究院，杭州，310014

出版日期:2017-01-10 发布日期:2017-01-04
基金资助:
国家自然科学基金资助项目(51675484，51275474，51505424);
浙江省自然科学基金资助项目(LZ12E05002，LY15E050019)

Selection Function Based on Singleimpact Breakage Mass Model of Particle Beds in Ball Mills

MAO Yalang1;SUN Yi1,2;JI Shiming1;SHAN Jihong1;JIN Xiaohang1

1.College of Mechanical Engineering，Zhejiang University of Technology，Hangzhou，310014
2.Institute of Ocean Research，Zhejiang University of Technology，Hangzhou，310014

Online:2017-01-10 Published:2017-01-04

摘要/Abstract

摘要： 为提高球磨破碎效率，以及构建球磨装置的颗粒破碎过程模型，开展了基于单次料层冲击破碎质量模型的球磨选择函数研究。根据料层夹持形态与落球冲击试验，将料层破碎分为低冲击能下的未完全破碎和高冲击能量下的完全破碎两种状态。分析了单位质量能耗特性和细颗粒对夹持破碎质量的影响，分别建立了两种破碎状态下的料层冲击破碎质量模型。结合冲击能量谱，构建了基于单次料层冲击破碎质量模型的球磨选择函数，将介质球径、颗粒特性等影响球磨破碎效率的参数纳入到选择函数中。

关键词: 料层夹持形态, 冲击破碎质量, 选择函数, 球磨

Abstract: In order to establish the particle comminution process model and improve the grinding efficiencies in ball mills, the studies of the selection function were carried out based on the singleimpact breakage mass model. According to the nipped configurations and the falling ball impact tests, the particlebed breakage was divided into the incomplete breakage in low impact energy and the complete breakage in high impact energy. The energy of mass specific fracture energy and the effects of fine particles on nipped breakage mass were analyzed. The models of the singleimpact breakage mass under two broken states were built respectively. The selection function, which included the breakage influence factors such as media diameter, particle size and particle shape of ball mill, was set up based on the impact energy spectrum and the singleimpact breakage mass model.

Key words: nipped configuration of particle bed, impact breakage mass, selection function, ball mill

中图分类号:

TD921

毛亚郎, 孙毅, 计时鸣, 单继宏, 金晓航. 基于单次料层冲击破碎质量模型的球磨选择函数[J]. 中国机械工程.

MAO Yalang, SUN Yi, JI Shiming, SHAN Jihong, JIN Xiaohang. Selection Function Based on Singleimpact Breakage Mass Model of Particle Beds in Ball Mills[J]. China Mechanical Engineering.

参考文献

[1]陶珍东，郑少华.粉体工程与设备[M]//2版.北京：化学工业出版社，2010.
TAO Zhendong，ZHENG Shaohua.Powder Technology and Equipment[M]//2nd.Beijing: Chemical Industry Press，2010.
[2]威尔斯 B A，纳皮尔马恩 T.矿物加工技术[M]//7版.北京：冶金工业出版社，2011.
WILLS B A，NAPIER-MUNN T.Mineral Processing Technology[M]//7th. Beijing：Metallurgical Industry Press，2010.
[3]王泽红，陈晓龙，袁致涛，等.选矿数学模型[M].北京：冶金工业出版社，2015.
WANG Zhehong，CHEN Xiaolong，YUAN Zhitao，et al.Mathematical Model on Mineral Processing [M]. Beijing：Metallurgical Industry Press，2015.
[4]AUSTIN L G.Understanding Ball Mill Sizing[J].Industrial & Engineering Chemistry Process Design & Development，1973，12(2)：121-129.
[5]CHO K. Breakage Mechanisms in Size Reduction[D].Salt Lake City：Univ. of Utah，1990.
[6]HFLER A. Fundamental Breakage Studies of Mineral Particles with an Ultrafast Load Cell Device[D].Salt Lake City：Univ. of Utah，1990.
[7]DATTA A，RAJAMANI R K.A Direct Approach of Modeling Batch Grinding in Ball Mills Using Population Balance Principles and Impact Energy Distribution[J].International Journal of Mineral Processing，2002，64(4)：181-200.
[8]NOMURA S，HOSODA K，TANAKA T.An Analysis of the Selection Function for Mills Using Balls as Grinding Media[J].Powder Technology，1991，68(1)：1-12.
[9]BOURGEOIS F S.Single Particle Fracture as Basis for Microscale Modeling of Comminution Processes[D].Salt Lake City：Univ. of Utah，1993.
[10]TAVARES L M，CARVALHO R M.Modeling Breakage Rates of Coarse Particles in Ball Mills[J].Minerals Engineering，2009，22：650-659.
[11]TUZCU E T.An Approach for the Modeling of Batch Grinding with Single Particle Fracture Studies and Impact Energy Spectra[D].Salt Lake City：Univ. of Utah，2010.
[12]毛亚郎，孙毅，计时鸣，等. 介质球间非限制料层夹持形态研究[J].中国机械工程，2014，25(23)：3212-3215.
MAO Yalang，SUN Yi，JI Shiming，et al.Nipped Configuration of Unconfined Particle Beds Between Media Balls[J].China Mechanical Engineering，2014，25(23)：3212-3215.
[13]毛亚郎，孙毅，计时鸣，等.落球冲击破碎下的非限制料层夹持形态[J].中国机械工程，2016，27(2)：168-172.
MAO Yalang，SUN Yi，JI Shiming，et al.Nipped Configuration of Unconfined Particle Beds under Falling Ball Impact Test[J].China Mechanical Engineering，2016，27(2)：168-172.
[14]DATTA A. A Model of Batch Grinding with Impact Energy Spectra[D].Salt Lake City：Univ. of Utah，1999.
[15]TAVARES L M，King R P.Single-particle Fracture under Impact Loading[J].International Journal of Mineral Processing，1998，54(1)：1-28.
[16]TUZCU E T，RAJAMANI R K.Modeling Breakage Rates in Mills with Impact Energy Spectra and Ultra Fast Load Cell Data[J]. Minerals Engineering，2011，24(3/4)：252-260.
[17]CLEARY P W,MORRISON R.Comminution Mechanisms，Particle Shape Evolution and Collis-ion Energy Partitioning in Tumbling Mills[J].Minerals Engineering，2016，86：75-95.