基于分形理论的烟丝尺寸分布表征方法

Characterization of Cut Tobacco Size Distribution Based on Fractal Theory

为研究烟丝尺寸分布特性,推导了烟丝筛下累积质量百分比与分形维数的相关性方程,探讨了分形维数与端部落丝量的关系。结果表明:①根据粒度分形理论建立了烟丝尺寸分布分形模型,由该模型计算出的烟丝筛下累积质量百分比与实测值吻合程度较好(R2=0.9403),表明烟丝尺寸分布满足分形特性;②同种配方烟丝,分形维数越大,相同孔径筛网下烟丝比例越大,烟丝的特征尺寸越小;③端部落丝量M与烟丝分形维数D的相关性较好(R2=0.9007),说明分形维数作为端部落丝量的一个量化指标,可为加工过程中工艺参数的优化提供依据。

In order to study the characteristics of cut tobacco size distribution,the correlation equation of accumulative mass percentage of cut tobacco under test sieve versus fractal dimension was derived,and the relationship between loss of tobacco from cigarette end and fractal dimension was discussed.The results showed that： 1） a fractal model of cut tobacco size distribution was setup based on particle size fractal theory,the calculated accumulative mass percentage of cut tobacco under test sieve by the model well agreed with the measured value（R2=0.9403）,which indicated that cut tobacco size distribution was compliant with fractal characteristic;2） for the cut tobacco of the same blend,higher fractal dimension related to higher cut tobacco percentage under the same mesh size and smaller characteristic size;3） there existed linear relation between loss of tobacco from cigarette end and fractal dimension（R2=0.9007）.It indicated that fractal dimension could be used as an index to quantitatively evaluate loss of tobacco from cigarette end and a reference for optimizing the technological parameter in processing.