Spatial statistics of stochastic fiber networks
Spatial statistics of stochastic fiber networks
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DOI：
10.1023/a:1004597121797
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发表时间：
1999-07-01
影响因子：
1.6
通讯作者：
Sampson, WW
中科院分区：
文献类型：
--
作者：
Dodson, CTJ;Sampson, WW
从随机纤维网络中纤维-纤维接触的已知统计数据，获得了随机纤维悬浮液和不断发展的滤液网络中局部孔隙度方差的解析估计。局部孔隙率的变化，因此，分布的投影面密度，似乎取决于纤维的几何形状，仅通过立方体的平均直径。此外，垂直于垫平面的局部流速的变化系数在第一近似下与流动模式无关。分析估计也获得了小检查区的垫的局部孔隙率的方差上的纤维结块的效果。
From the known statistics of fiber-fiber contacts in random fiber networks, an analytic estimate is obtained for the variance of local porosity in random fiber suspensions and evolving filtrate networks. The variance of local porosity, and hence the distribution of projected areal density, seem to depend on fiber geometry only through the cube of mean diameter. Also, the coefficient of variation of local flow rate perpendicular to the plane of the pad is, to a first approximation, independent of the mode of flow. Analytic estimates are obtained also for the effect of fiber clumping on the variance of local porosity of pads for small inspection zones.