转炉钢渣粉粒度分布的分形特征

Fractal Characteristics of Converter Steel-slag Particle Size Distribution

采用Mastersizer2000激光衍射粒度分析仪对球磨转炉钢渣粉粒度分布进行了测试，运用分形几何理论分析了钢渣粉的分形维数，探讨了分形维数与球磨时间、比表面积、特征粒径、均匀性系数及胶砂性能之间的关系。结果显示：球磨转炉钢渣粉粒度分布具有分形特征；分形维数在2．2～2．5之间，其值大小反映了钢渣粉的细度和分布宽度；分形维数越大，钢渣粉越细，粒度分布越宽；分形维数与球磨时间、比表面积、特征粒径、均匀性系数以及胶砂（埘（标准水泥）：纠（钢渣）=70：30）流动度之间存在良好的线性相关，相关系数在0．95～1之间。在本实验条件下，存在一个最佳分形维数2．41，在此分形维数下砂浆各龄期抗压强度最高。

Particle size distribution of converter steel slag at different grinding time were test by Mastersizer2000 laser particle size analyzer, and fraetal geometry theory was applied to analyse fractal dimension of steel-slag particle, the relationship of fractal dimension with grinding time, specific surface area, characteristic diameter, uniformity coefficient, fluidity and mechanical property of cement steel slag mortars were investigated. Results show that： the converter steel-slag particle size distribution has fractal characteristics ; the values of fractal dimension are between 2.2 and 2.5, which reflect the fineness and uniformity of particle size distribution; The higher fractal dimension is, the finer and poorer uniformity of steel-slag powder become. The linear correlationship between fractal dimension and grinding time, specific area, characteristic diameter, uniformity coefficient, fluidity of mortars （ w （standard-cement） ： w （steel-slag） = 70：30 ） are significant, the correlation coefficients are between 0.95 and 1. Under the condition of this experiment, the optimum fractal dimension is 2.41, which has the highest compressive strength of mortars at different age.