批次球磨产品的粒度分布预测
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摘要
预测磨矿产品粒度分布一直是磨矿动力学的重要方向。从Herbst-Fuerstenau方程出发,构建基于磨矿中能量输入的总量平衡模型。在批次球磨机上做若干单粒级的间隔磨矿试验,反算其碎磨动力学参数(碎裂速度与碎裂分布),之后用Austin等人提出的拟合方法,求得全部粒级的碎磨动力学参数并代入总量平衡模型,得到磨矿产品粒度分布预测模型,之后用模型进行预测,并进行试验验证,发现预测值与观测值吻合,表明模型可用。
It is an important direction of comminution kinetics to predict particle size distribution in grinding. A population balance model is developed based on energy input during grinding,from Herbst-Fuerstenau equation. To determine the breakage kinetic parameters(breakage rate and breakage distribution),a limited number of mono-particle-size batch grinding tests are taken;with the fitting method come up with Austin etc,the parameters are determined in all sizes,which are then introduced into the model. Grinding products size distribution model was obtained,and used to prediction,a set of verification tests are taken,and the model predicts well,proving its availability.
It is an important direction of comminution kinetics to predict particle size distribution in grinding. A population balance model is developed based on energy input during grinding,from Herbst-Fuerstenau equation. To determine the breakage kinetic parameters(breakage rate and breakage distribution),a limited number of mono-particle-size batch grinding tests are taken;with the fitting method come up with Austin etc,the parameters are determined in all sizes,which are then introduced into the model. Grinding products size distribution model was obtained,and used to prediction,a set of verification tests are taken,and the model predicts well,proving its availability.
引文
[1]刘建远.粉碎数学模型漫谈[J].国外金属矿选矿,1995(7):30-38.Liu Jianyuan.An overview of mathematical model of comminution[J].Metallic Ore Dressing Abroad,1995(7):30-38.
[2]Austin L G.Introduction to the mathematical description of grinding as a rate process[J].Powder Technology,1971(1):1-17.
[3]Herbst J A,Fuerstenau D W.Scale-up procedure for continuous grinding mill design using population balance models[J].International Journal of Mineral Processing,1980(1):1-31.
[4]Reid K J.A solution to the batch grinding equation[J].Chemical Engineering Science,1965(11):953-963.
[5]Austin L G,Luckie P T.Methods for determination of breakage distribution parameters[J].Powder Technology,1972(4):215-222.
[6]Klimpel R R,Austin L G.The back-calculation of specific rates of breakage from continuous mill data[J].Powder Technology,1984(1):77-91.
[7]Klimpel R R,Austin L G.The back-calculation of specific rates of breakage and non-normalized breakage distribution parameters from batch grinding data[J].International Journal of Mineral Processing,1977(1):7-32.
[8]陈炳辰.磨矿原理[M].北京:冶金工业出版社,1989:245.Chen Bingchen.Principle of Comminution[M].Beijing:Metallurgical Industry Press,1989:245.
[2]Austin L G.Introduction to the mathematical description of grinding as a rate process[J].Powder Technology,1971(1):1-17.
[3]Herbst J A,Fuerstenau D W.Scale-up procedure for continuous grinding mill design using population balance models[J].International Journal of Mineral Processing,1980(1):1-31.
[4]Reid K J.A solution to the batch grinding equation[J].Chemical Engineering Science,1965(11):953-963.
[5]Austin L G,Luckie P T.Methods for determination of breakage distribution parameters[J].Powder Technology,1972(4):215-222.
[6]Klimpel R R,Austin L G.The back-calculation of specific rates of breakage from continuous mill data[J].Powder Technology,1984(1):77-91.
[7]Klimpel R R,Austin L G.The back-calculation of specific rates of breakage and non-normalized breakage distribution parameters from batch grinding data[J].International Journal of Mineral Processing,1977(1):7-32.
[8]陈炳辰.磨矿原理[M].北京:冶金工业出版社,1989:245.Chen Bingchen.Principle of Comminution[M].Beijing:Metallurgical Industry Press,1989:245.