煤炭研磨过程的分形能耗模型
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摘要
煤炭的研磨过程能耗高、能量利用率低。为了找到节能降耗的有效途径,利用分形方法,建立了煤炭研磨过程的能耗模型,并讨论了颗粒表面分形维数和颗粒形状对研磨能耗的影响。研究表明:绝大部分能耗用在小颗粒的研磨上;颗粒表面分形维数越大,研磨能耗越高;颗粒形状越不规则,能耗越大。
With low utilization efficiency,the energy consumption is extremely high during coal grinding process.By the fractal principle,a continuous model for grinding energy consumption is established to find effective ways for lowering the energy consumption.The influences of the fractal dimensions of surface and the shape factor of particles on the energy consumption are analyzed.It is proved that the small particles cost the dominant part of the energy consumption. The grinding energy consumption goes up with the increase of the surface fractal dimension sharply.The more irregular the particle shape is,the more grinding energy is needed.
With low utilization efficiency,the energy consumption is extremely high during coal grinding process.By the fractal principle,a continuous model for grinding energy consumption is established to find effective ways for lowering the energy consumption.The influences of the fractal dimensions of surface and the shape factor of particles on the energy consumption are analyzed.It is proved that the small particles cost the dominant part of the energy consumption. The grinding energy consumption goes up with the increase of the surface fractal dimension sharply.The more irregular the particle shape is,the more grinding energy is needed.
引文
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(2)曾凡桂.用粒度表征的煤粉碎动力学方程[J].煤炭学报,2000,25(3):303-306.
(3)杨志远,周安宁,曲建林.超细煤粉的颗粒分布分形与球磨工艺关系研究[J].煤炭科学技术,2004,32(1):32-34.
(4)Turcotte.D.L.Fractals and Fragmentation[J].J.Geo-phys.Res.,1986,91(B2):1921-19261.
(5)张济忠.分形[M].北京:清华大学出版社,1995:1-138.
(6)Capinteri A,Pugno N.A multifractal comminution ap-proach for drilling scaling laws[J].Powder Technology,2003,131(1):93-98.
(7)Zhang X,Chen C,Sun X,et al.Fractal approach to coal-particle surface[J].Coal Science and Technology,1995,24:19-21.
(8)Borodich F M.Some fractal models of fracture[J].J.Mech.Phys.Solids,1997,45(2):230-259.
[9]Perfect E.Fractal models for the fragmentation of rocksand soils:a review[J].Engineering Geology,1997,48:185-198.
[10]曾凡桂.煤粉碎的分形机理[M].北京:煤炭工业出版社,2001:37-148.
[11]吴俊.煤表面能吸附法及研究意义[J].煤田地质与勘探,1994,22(2):18-23.
[12]李功伯,陈庆寿,徐小荷.分形与岩石破碎特征[M].北京:地震出版社,1997:70-74.
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