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

Chin.J.Chem.Eng. ›› 2012, Vol. 20 ›› Issue (6): 1198-1205.

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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)

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

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)

Abstract

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

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

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.

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.

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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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