Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate*

Chinese Journal of Chemical Engineering ›› 2012, Vol. 20 ›› Issue (6): 1198-1205.

Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*

王晓丽, 桂卫华, 阳春华, 王雅琳

School of Information Science and Engineering, Central South University, Changsha 410083, China

收稿日期:2012-05-30 修回日期:2012-07-26 出版日期:2012-12-28 发布日期:2012-12-28
通讯作者: YANG Chunhua,E-mail:ychh@csu.edu.cn
基金资助:
Supported by the Fundamental Research Funds for the Central Universities (2012QNZT069);the Postdoctoral Science Foundation of China (2012M521413);the National Science Fund for Distinguished Young Scholars of China (61025015);the National Natural Science Foundation of China (61273187;61273159)

Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*

WANG Xiaoli, GUI Weihua, YANG Chunhua, WANG Yalin

School of Information Science and Engineering, Central South University, Changsha 410083, China

Received:2012-05-30 Revised:2012-07-26 Online:2012-12-28 Published:2012-12-28
Supported by:
Supported by the Fundamental Research Funds for the Central Universities (2012QNZT069);the Postdoctoral Science Foundation of China (2012M521413);the National Science Fund for Distinguished Young Scholars of China (61025015);the National Natural Science Foundation of China (61273187;61273159)

摘要/Abstract

摘要： Laboratory tests were carried out to study the breakage kinetics of diasporic bauxite and determine its breakage distribution function.Non-first order breakage with different deceleration rates for different size intervals is found,which is most probably caused by the heterogeneity of the ore.Piecewise linearization method is proposed to describe the non-first order breakage according to its characteristics.In the method,grinding time is divided into several intervals and breakage is assumed to be first order in each interval.So,the breakage rates are calculated by taking the product of the last interval as feed and then established as a function of particle size and grinding time.Based on the predetermined breakage rate function,the breakage distribution of the ore is back-calculated from the experimental data using the population balance model (PBM).Finally,the obtained breakage parameters are validated and the simulated data are in good agreement with the experimental data.The obtained breakage distribution and the method for breakage rate description are both significant for modeling the full scale ball milling process of bauxite.

关键词: breakage distribution, non-first order breakage, piecewise linearization method, diasporic bauxite

Abstract: Laboratory tests were carried out to study the breakage kinetics of diasporic bauxite and determine its breakage distribution function.Non-first order breakage with different deceleration rates for different size intervals is found,which is most probably caused by the heterogeneity of the ore.Piecewise linearization method is proposed to describe the non-first order breakage according to its characteristics.In the method,grinding time is divided into several intervals and breakage is assumed to be first order in each interval.So,the breakage rates are calculated by taking the product of the last interval as feed and then established as a function of particle size and grinding time.Based on the predetermined breakage rate function,the breakage distribution of the ore is back-calculated from the experimental data using the population balance model (PBM).Finally,the obtained breakage parameters are validated and the simulated data are in good agreement with the experimental data.The obtained breakage distribution and the method for breakage rate description are both significant for modeling the full scale ball milling process of bauxite.

Key words: breakage distribution, non-first order breakage, piecewise linearization method, diasporic bauxite

王晓丽, 桂卫华, 阳春华, 王雅琳. Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*[J]. Chinese Journal of Chemical Engineering, 2012, 20(6): 1198-1205.

WANG Xiaoli, GUI Weihua, YANG Chunhua, WANG Yalin. Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*[J]. Chin.J.Chem.Eng., 2012, 20(6): 1198-1205.

参考文献

1 Austin,L.G.,Julianelli,K.,Souza,A.S.de,Schneider,C.L.," Simulation of wet ball milling of iron ore at Carajas,Brazil",Int.J.Miner.Process,84,157-171 (2007).
2 Ramasamy,M.,Narayanan,S.S.,Rao,Ch.D.P.,"Control of ball mill grinding circuit using model predictive control scheme",J.Process Contr.,15,273-283 (2005).
3 Jankovic,A.,Valery,W.,Davis,E.,"Cement grinding optimization",Miner.Eng.,17,1075-1081 (2004).
4 Morrell,S.,Man,Y.T.,"Using modeling and simulation for the design of full scale ball mill circuits",Miner.Eng.,10,1311-1327 (1997).
5 Colakyan,M.,Turtonj,R.,"Modified back-calculation method to predict particle size distributions for batch grinding in a ball mill",Ind.Eng.Chem.Res.,27,723-126 (1988).
6 Das,P.K.,"Use of cumulative size distribution to back-calculate the breakage parameters in batch grinding",Comput.Chem.Eng.,25,1235-1239 (2001).
7 Lee,H.,Cho,H.,Kwon,J.,"Using the discrete element method to analyze the breakage rate in a centrifugal/vibration mill",Powder Technol.,198,364-372 (2010).
8 Capece,M.,Bilgili,E.,Dave.,R.,"Identification of the breakage rate and distribution parameters in a non-linear population balance model for batch milling",Powder Technol.,208 (1),195-204 (2011).
9 Austin,L.G.,Klimpel,R.R.,Luckie,P.T.,Process Engineering of Size Reduction: Ball Milling,SME,New York (1984).
10 Ozkan,A.,Yekeler,M.,Calkaya,M.,"Kinetics of fine wet grinding of zeolite in a steel ball mill in comparison to dry grinding",Int.J.Miner.Process,90,67-73 (2009).
11 Kapur,P.C.,"Self-preserving size spectra of comminuted particles",Chem.Eng.Sci.,27,425-431 (1972).
12 Rajamani,R.K.,Guo,D.,"Acceleration and deceleration of breakage rates in wet ball mills",Int.J.Miner.Process,34,103-118 (1992).
13 Bilgili,E.,Scarlett,B.,"Population balance modeling of non-linear effects in milling processes",Powder Technol.,153,59-71 (2006).
14 Bilgili,E.,Yepes.J.,Scarlett,B.,"Formulation of a non-linear framework for population balance modeling of batch grinding: Beyond first-order kinetics",Chem.Eng.Sci.,61,33-34 (2006).
15 Tavares,L.M.,Carvalho,R.M.de.,"Modeling breakage rates of coarse particles in ball mills",Miner.Eng.,22,650-659 (2009).
16 Fuerstenau,D.W.,Phatak,P.B.,Kapur,P.C.,Abouzeid,A.Z.M.,"Simulation of the grinding of coarse/fine (heterogeneous) systems in a ball mill",Int.J.Miner.Process,99,32-38 (2011).
17 Fuerstenau,D.W.,Abouzeid,A.Z.M.,Phatak,P.B.,"Effect of particulate environment on the kinetics and energetics of dry ball milling",Int.J.Miner.Process,97 (1-4),52-58 (2010).
18 Wang,X.L.,Gui,W.H.,Yang,C.H.,Wang,Y.L.,"Wet grindability of an industrial ore and its breakage parameters estimation using population balances",Int.J.Miner.Process,98,113-117 (2011).
19 Lu,G.W.,Wang,S.Y.,Xiao,J.H.,Mineral Processing Design Handbook,Metallurgical Industry Press,Beijing,China (1999).(in Chinese)
20 ISO2591-1,"Test sieving—Part1: Methods using test sieves of woven wire cloth and perforated metal plate",Int.Stand.(1988).
21 Reid,K.J.,"A solution to the batch grinding equation",Chem.Eng.Sci.,20,953-963 (1965).
22 Goldberg,D.E.,Genetic Algorithms in Search,Optimization and Machine Learning,Addison Wesley,Reading,MA (1989).
23 Wang,X.L.,Yang,C.H.,Gui,W.H.,Young,B.R,Chen,X.D.,"Cstr-based modelliing for the continuous carbonation of sodium aluminate solution",Can.J.Chem.Eng.,89,617-624 (2011).
24 Lahiri,S.K.,Ghanta,K.C.,"Prediction of pressure drop of slurry flow in pipeline by hybrid support vector regression and genetic algorithm model",Chin.J.Chem.Eng.,16,841-848 (2008).
25 Yang,C.X.,Y,X.F.,"A fuzzy-based adaptive genetic algorithm and its case study in chemical engineering",Chin.J.Chem.Eng.,19 (2),299-307 (2011).
26 Man,Y.T.,"Model-based procedure for scale-up of wet,overflow ball mills,part II: Worked example",Miner.Eng.,14,1247-1257 (2001).

Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*

Breakage Distribution Estimation of Bauxite Based on Piecewise Linearized Breakage Rate^*

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