分维数与粉尘吸湿速度之间的关系

Relation between dust wettability characteristic and fractional dimension

首先运用分形判据对粉尘的概率密度分布函数在对数坐标轴下是否为直线来判断粉尘的分形特征,再用回归法求得粉尘的粒径与质量的拟合曲线的相关系数,从而证实了分形判据的结论,通过该曲线的外引可得出在某一粒径范围内粉尘质量所占的比例,曲线的斜率越小(维数越大),粉尘分布就越均匀,细粉尘所占的比例也就越大,危害也越大.运用最小二乘法求得分形维数,并通过实验求得粉尘的湿润速度,得出了分维数越大粉尘的湿润速率越小的结论.

Applied fractal criterion and probability density of dust distribution function whether a straight line or not under logarithmic coordinate axes to judge dust fractal character, then used regression method drawing coefficient of correlation of dust particle size and volume-weight fitting curve, thereby verifying conclusion of fractal criterion. By means of quoting this curve we can get dust weight possessive ratio within a certain particle size limits, the smaller the curve slope is, the more homogeneous the dust distributes, the bigger ratio the thin dust possesses, the larger the harm is either. Utilizing method of minimum squares reaches fractal dimension, and through experiment it comes to dust soggy velocity, drawing a conclusion that the bigger the fractal dimension is, the smaller soggy velocity the dust is.