基于分形方法的煤炭研磨颗粒粒度分布模型

Fractal model for particle-size distribution of coal grinding

  • 摘要: 为了预测并控制煤炭在研磨过程中任意时刻的颗粒粒度分布,利用分形方法建立了表征煤炭研磨颗粒粒度分布动态变化的颗粒数分布模型、颗粒表面积分布模型和颗粒质量分布模型.颗粒数分布模型直观地描述了颗粒粒径主要存在的范围;颗粒表面积分布模型可以用来研究研磨过程中能耗的变化;颗粒质量分布模型可以用来计算研磨颗粒的堆密度和成浆浓度.通过分形粒度分布与实际粒度分布的比较,验证了模型的正确性.

     

    Abstract: By the fractal method, mathematical models for particle number variation, particle surface area profile and particle mass distribution were established to predict and control the particle-size distribution of coal grinding at any grinding time. The particle number variation can be used to describe the main range of particle diameter. The surface area profile can be used to predict the energy consumption in grinding process. The particle mass distribution could be used to calculate the specific stacking density of particles or the slurry concentration. These models were proved to be valid by comparison of the fractal particle-size distribution with practical measurement.

     

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