1. College of Mining Engineering,Taiyuan University of Technology,Taiyuan　 030024,China;2. Tunlan Coal Washary,Xishan Coal Electricity Group Co. , Ltd. ,Gujiao　 030206,China

建立双变量分配曲面数学模型,是准确描述不同密度、粒度颗粒在旋流器分离过程中的分配规律,量化解析颗粒密度、粒度对旋流器分离效果的影响规律的一种有效手段。为提高分配曲面数学模型对不同旋流器的适应性,以宽雷诺数区间颗粒沉降末速公式为基础,提出了颗粒密度、粒度变量的组合方法,以正态分布作为基本函数,建立了包含密度、粒度双变量的6参数分配曲面数学模型,明确了模型参数的意义。通过模型可推导出分选密度、可能偏差与颗粒粒度成反比的函数关系。模型对分级旋流器、水介旋流器、重介旋流器分选结果均具有良好的拟合精度,初步揭示了旋流器分离过程中颗粒密度、粒度的二元影响机制。

Establishing double-variant mathematical model for the partition surface is an effective method for accurately describing the partition law of the particles with different density and different size as well as for quantitatively analy- zing the influence of particle density and size on the cyclone separation efficiency. To improve the adaptability of the mathematical models to different types of cyclones,a combination method of density and size variables was proposed based on the terminal settling velocity formula over a wide range of Reynolds number,and a six-parameter mathemati- cal model for the density-size partition surface was established taking normal distribution as a fundamental function,in which the meaning of the model parameters were clarified. From the model,it could be deduced that the separation density and the ecart probable are inversely proportional to the particle size. The model data has high accuracy to ap- proach the separation results of classifying cyclone,water-only cyclone and dense medium cyclone,which tentatively reveals the binary influence mechanism of density and size in cyclone separation process.

山西省基础研究计划资助项目(2015011064)；

Gao Jianchuan,Dong Lianping,Yang Hongli,et al. Math model of density-size partition surface based on normal distribution for cyclone separation[J]. Journal of China Coal Society,2016,41(11):2847-2853.