基于谢尔宾斯基地毯模型对烧结矿散料有效导热系数的研究

Research of the effective thermal conductivity of sinter packed based on sierpinski carpet

谢尔宾斯基地毯模型是基于分形理论针对自然界中非规则随机分布颗粒群高精度的数学分析方法。基于谢尔宾斯基地毯模型预测烧结矿散料有效导热系数,并通过与文献数据对比,没有应用经验公式、参数,公式推导采用具有实际物理含义的参数。在谢尔宾斯基地毯边长L=13、分形尺度C=7和阶数n变化条件下,得出在空隙为0~0.7范围内,烧结矿导热系数为0.55~2.87W/mk,并得出导热系数与散料空隙率的函数关系,实现与实验数据较好的吻合。

Sierpinski carpet model is based on fractal theory to solve the problem of random particles in the nature with higher precision. The effective thermal conductivity of sintered ore particles based on sierpinski carpets,the model prediction compares with existing data and experiment results,there is not contains empirical equation and parameter,there is expressed every parameter has pregnant physical means. Simulation with sierpinski carpets side length L = 13,fractal dimension C = 7,stage-n have various of range in computation processes. The porosity with a range of 0 ~ 0. 7,the effective thermal conductivity of sintered ore particles have equalized a scope of 0. 55 ~ 2. 87 W/mk. Come to the conclusion that effective thermal conductivity of sintered ore particles presents a function of porosity,and verified the validity model with experiment data.