磨矿动力学研究概述
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摘要
基于磨矿动力学研究现状,论文介绍了n阶磨矿动力学方程、总体平衡动力学模型以及基于智能算法的磨矿数学模型等三种磨矿动力学模型,并重点分析了总体平衡动力学模型及其中的破碎函数和选择函数。研究认为,总体平衡动力学模型在国外应用广泛,应用前景良好,但它在国内的研究和应用严重滞后,亟待业界关注研究。
Based on the research situation of grinding kinetics,it expounds three grinding mathematical models which are the n-order grinding kinetics equation,population balance dynamic model and intelligent algorithms,and it emphatically introduces the population balance model that includes breakage function and selection function.It is considered that the population balance model is widely used abroad and has good application prospects,but its research and application is seriously lagging behind in China,which urgently needs to be studied extensively and deeply.
Based on the research situation of grinding kinetics,it expounds three grinding mathematical models which are the n-order grinding kinetics equation,population balance dynamic model and intelligent algorithms,and it emphatically introduces the population balance model that includes breakage function and selection function.It is considered that the population balance model is widely used abroad and has good application prospects,but its research and application is seriously lagging behind in China,which urgently needs to be studied extensively and deeply.
引文
[1]陈炳辰.磨矿原理[M].北京:冶金工业出版社,1989.181-252.
[2]国家自然科学基金委员会.冶金与矿业科学[M].北京:科学出版社,1997.116-132.
[3]段希祥.磨矿动力学参数与磨矿时间的关系研究[J].昆明工学院学报,1988,13(5):23-33.
[4]侯英,丁亚卓,印万忠,等.磨矿动力学参数对磨矿速度的影响[J].东北大学学报:自然科学版,2013,34(5):708-711.
[5]吴明珠,张成名.磨矿动力学在磨矿操作中的应用[J].有色金属:选矿部分,1989:10-15.
[6]王力,张常法,张军,等.助磨剂对煤沥青磨矿动力学的影响[J].山东科技大学学报:自然科学版,2008,27(5):23-26.
[7]B.Epstein.Logarithmico-normal distributions in breakage of solids[J].Industr.Engng.Chem.,1948,40:2289-2291.
[8]L.G.Austin.A review,Introduction to the mathematical description of grinding as a rate process[J].Powder Technology,1971,5(1):1-17.
[9]K.Sedlatschek,L.Bass.Contribution to the theory of milling processes[J].Powder Metal.Bull.,1953(6):148-153.
[10]K.J.Reid.A solution to the batch grinding equation[J].Chemical Engineering Science,1965,20:953-963.
[11]S.R.Broadbent,T.G.Callcott.A matrix analysis of processes involving particle assemblies[J].Philosophical Transactiona of Royal Society of London,1956,A249:99-123.
[12]S.R.Broadbent,T.G.Callcott.Coal breakage processes:I.A new analysis of coal breakage processes[J].J.Inst.Fuel,1956,29:524-528.
[13]S.R.Broadbent,T.G.Callcott.Coal breakage processes:III.[J].J.Inst.Fuel.,1957,30:13.
[14]A.M.Gaudin,T.P.Meloy.Minerals beneficiation-model and a comminution distribution equation for repeated fracture[J].Trans.Am.Inst.Min.Engrs.,1962,223:43.
[15]T.P.Meloy,B.H.Bergstrom.Proc.7th Znt.Mineral Proc.Congr.,1964:19.
[16]R.P.Gardner and L.G.Austin.A chemical engineering treatment of batch grinding;part I:A radioactive-tracer technique for the determination of breakage functions[J].Proceedings of First European Symposiumon Size Reduction,1962:217-231.
[17]R.P.Gardner,L.G.Austin.The use of a radioactive tracer technique and a computer in the study of the batch grinding of coal[J].Journal of the Institute of Fuel,1962,35:173-177.
[18]W.J.Whiten.Ball mill simulation using small calculators[J].Proceedings Aus IMM,1976,258:47-53.
[19]L.G.Austin,P.Bagga.An analysis of fine dry grinding in ball mills[J].Powder Technology,1981,28(1):83-90.
[20]P.C.Kapur.Self-Preserving size spectra of cornrninuted particles[J].Chemieal engineering Scienee,1972,27(2):425-43.
[21]E.Bilgili,B.Scarlett.Population balance modeling of nonlinear effects in milling processes[J].Powder Technology,2005,153:59-71.
[22]Maxx Capece,Ecevit Bilgili,Rajesh Dave.Identi?cation of the breakage rate and distribution parameters in a non-linear population balance model for batch milling[J].Powder Technology,2011,208:195-204.
[23]吴明珠.总体平衡模型及其应用[A].全国第四届粉碎工程学术会议论文集[C],北京:中国矿业联合会选矿委员会,1988.69-74.
[24]刘开忠,翁伟雄,周忠尚.混合物料及其组分的磨矿动力学行为[J].中国矿业,1995,19(4):63-66.
[25]田金星.石墨及其混合物料的磨矿动力学行为[J].中国有色金属学报,1996,6(4):47-50.
[26]张文军,周贤渭,张国祥.根据选矿厂数据估计球磨机模型参数的通用程序[J].有色金属,1989,41(3):36-41.
[27]王晓丽.铝土矿连续球磨过程建模与关键参数优化[D].长沙:中南大学,2011.
[28]J.A.Herbst,D.W.Fuerstenau.The zero order production of fine sizes in comminution and its implications in simulation[J].AIME Transactions,1968,241:538-548.
[29]L.G.Austin,P.T.Luckie.Methods for determination of breakage distribution parameters[J].Powder Technology,1972,5(4):215-222.
[30]L.G.Austin,P.Bagga.An analysis of fine dry grinding in ball mills[J].Powder Technology,1981,28(1):83-90.
[31]L.G.Austin,P.Bagga,M.Celik.Breakage properties of some materials in a laboratory ball mill[J].Powder Technology,1981,28(2):235-243.
[32]K.Shoji,S.Lohrasb,L.G.Austin.The variation of breakage parameters with ball and powder loading in dry ball milling[J].Powder Technology,1980,25(1):121-126.
[33]P.C.Kapur.An improved method for estimating the feed-size breakage distribution functions[J].Powder Technology,1982,33(2):269-275.
[34]P.Purker,Renu Agrawal,P.C.Kapur.A G-H scheme for back-calculation of breakage rate functions from batch grinding data[J].Powder Technology,1986,45(3):281-286.
[35]T.J.Napier-Munn.Mineral comminution circuits their operation and optimization[M].Austrilia:JKMRC and the University of Queensland Publishing,2005.
[36]S.S.Narayanan,W.J.Whiten.Breakage characteristies for ores for ball mill modeling[J].Proeeedings of the Australian Institute of Mining and Metallurgy,1983,286:31-39.
[37]D.Brown.Private Communication,and JKMRC intenal reports,1992.
[38]周少军.基于ANN的铜炉渣磨矿参数对铜精矿指标影响预测研究[D].武汉:武汉理工大学,2008.
[39]朱继平,桂卫华,阳春华.基于RBF神经网络的磨矿粒度预测模型[J].计算机测量与控制,2008,16(10):1421-1423.
[40]陈宝宇.基于NSGA-Ⅱ算法的磨犷过程稳态优化[D].沈阳:东北大学,2009.
[41]I.A.Ismail.Automatic signature recognition and verification using principal components analysis[C].Fifth International Conference on Computer Graphics,Imaging and Visualisation.2008:5-12.
[2]国家自然科学基金委员会.冶金与矿业科学[M].北京:科学出版社,1997.116-132.
[3]段希祥.磨矿动力学参数与磨矿时间的关系研究[J].昆明工学院学报,1988,13(5):23-33.
[4]侯英,丁亚卓,印万忠,等.磨矿动力学参数对磨矿速度的影响[J].东北大学学报:自然科学版,2013,34(5):708-711.
[5]吴明珠,张成名.磨矿动力学在磨矿操作中的应用[J].有色金属:选矿部分,1989:10-15.
[6]王力,张常法,张军,等.助磨剂对煤沥青磨矿动力学的影响[J].山东科技大学学报:自然科学版,2008,27(5):23-26.
[7]B.Epstein.Logarithmico-normal distributions in breakage of solids[J].Industr.Engng.Chem.,1948,40:2289-2291.
[8]L.G.Austin.A review,Introduction to the mathematical description of grinding as a rate process[J].Powder Technology,1971,5(1):1-17.
[9]K.Sedlatschek,L.Bass.Contribution to the theory of milling processes[J].Powder Metal.Bull.,1953(6):148-153.
[10]K.J.Reid.A solution to the batch grinding equation[J].Chemical Engineering Science,1965,20:953-963.
[11]S.R.Broadbent,T.G.Callcott.A matrix analysis of processes involving particle assemblies[J].Philosophical Transactiona of Royal Society of London,1956,A249:99-123.
[12]S.R.Broadbent,T.G.Callcott.Coal breakage processes:I.A new analysis of coal breakage processes[J].J.Inst.Fuel,1956,29:524-528.
[13]S.R.Broadbent,T.G.Callcott.Coal breakage processes:III.[J].J.Inst.Fuel.,1957,30:13.
[14]A.M.Gaudin,T.P.Meloy.Minerals beneficiation-model and a comminution distribution equation for repeated fracture[J].Trans.Am.Inst.Min.Engrs.,1962,223:43.
[15]T.P.Meloy,B.H.Bergstrom.Proc.7th Znt.Mineral Proc.Congr.,1964:19.
[16]R.P.Gardner and L.G.Austin.A chemical engineering treatment of batch grinding;part I:A radioactive-tracer technique for the determination of breakage functions[J].Proceedings of First European Symposiumon Size Reduction,1962:217-231.
[17]R.P.Gardner,L.G.Austin.The use of a radioactive tracer technique and a computer in the study of the batch grinding of coal[J].Journal of the Institute of Fuel,1962,35:173-177.
[18]W.J.Whiten.Ball mill simulation using small calculators[J].Proceedings Aus IMM,1976,258:47-53.
[19]L.G.Austin,P.Bagga.An analysis of fine dry grinding in ball mills[J].Powder Technology,1981,28(1):83-90.
[20]P.C.Kapur.Self-Preserving size spectra of cornrninuted particles[J].Chemieal engineering Scienee,1972,27(2):425-43.
[21]E.Bilgili,B.Scarlett.Population balance modeling of nonlinear effects in milling processes[J].Powder Technology,2005,153:59-71.
[22]Maxx Capece,Ecevit Bilgili,Rajesh Dave.Identi?cation of the breakage rate and distribution parameters in a non-linear population balance model for batch milling[J].Powder Technology,2011,208:195-204.
[23]吴明珠.总体平衡模型及其应用[A].全国第四届粉碎工程学术会议论文集[C],北京:中国矿业联合会选矿委员会,1988.69-74.
[24]刘开忠,翁伟雄,周忠尚.混合物料及其组分的磨矿动力学行为[J].中国矿业,1995,19(4):63-66.
[25]田金星.石墨及其混合物料的磨矿动力学行为[J].中国有色金属学报,1996,6(4):47-50.
[26]张文军,周贤渭,张国祥.根据选矿厂数据估计球磨机模型参数的通用程序[J].有色金属,1989,41(3):36-41.
[27]王晓丽.铝土矿连续球磨过程建模与关键参数优化[D].长沙:中南大学,2011.
[28]J.A.Herbst,D.W.Fuerstenau.The zero order production of fine sizes in comminution and its implications in simulation[J].AIME Transactions,1968,241:538-548.
[29]L.G.Austin,P.T.Luckie.Methods for determination of breakage distribution parameters[J].Powder Technology,1972,5(4):215-222.
[30]L.G.Austin,P.Bagga.An analysis of fine dry grinding in ball mills[J].Powder Technology,1981,28(1):83-90.
[31]L.G.Austin,P.Bagga,M.Celik.Breakage properties of some materials in a laboratory ball mill[J].Powder Technology,1981,28(2):235-243.
[32]K.Shoji,S.Lohrasb,L.G.Austin.The variation of breakage parameters with ball and powder loading in dry ball milling[J].Powder Technology,1980,25(1):121-126.
[33]P.C.Kapur.An improved method for estimating the feed-size breakage distribution functions[J].Powder Technology,1982,33(2):269-275.
[34]P.Purker,Renu Agrawal,P.C.Kapur.A G-H scheme for back-calculation of breakage rate functions from batch grinding data[J].Powder Technology,1986,45(3):281-286.
[35]T.J.Napier-Munn.Mineral comminution circuits their operation and optimization[M].Austrilia:JKMRC and the University of Queensland Publishing,2005.
[36]S.S.Narayanan,W.J.Whiten.Breakage characteristies for ores for ball mill modeling[J].Proeeedings of the Australian Institute of Mining and Metallurgy,1983,286:31-39.
[37]D.Brown.Private Communication,and JKMRC intenal reports,1992.
[38]周少军.基于ANN的铜炉渣磨矿参数对铜精矿指标影响预测研究[D].武汉:武汉理工大学,2008.
[39]朱继平,桂卫华,阳春华.基于RBF神经网络的磨矿粒度预测模型[J].计算机测量与控制,2008,16(10):1421-1423.
[40]陈宝宇.基于NSGA-Ⅱ算法的磨犷过程稳态优化[D].沈阳:东北大学,2009.
[41]I.A.Ismail.Automatic signature recognition and verification using principal components analysis[C].Fifth International Conference on Computer Graphics,Imaging and Visualisation.2008:5-12.