Simulation of liquid penetration in paper
Simulation of liquid penetration in paper
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DOI：
10.1103/physreve.73.036705
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发表时间：
2006-03-01
影响因子：
2.4
通讯作者：
Timonen, J
中科院分区：
文献类型：
--
作者：
Hyväluoma, J;Raiskinmäki, P;Timonen, J
采用格子Boltzmann方法模拟了润湿液在纸板显微层析图像中的毛细渗透过程，其线性尺寸接近于木纤维的平均长度。尽管该系统的大小并不相对于样品中的结构不均匀性的大小而言是大的，对于单向渗透的模拟行为被卢卡斯-沃什伯恩方程很好地描述，而对于径向渗透的径向毛细管方程描述的行为。在这两种情况下，液体前沿的平均渗透深度作为时间的函数在许多数量级上遵循幂律。还在纸的相同三维图像中模拟了小液滴的毛细渗透。在这种情况下，模拟结果可以由径向穿透方程的一般形式来描述。
Capillary penetration of a wetting liquid in a microtomographic image of paper board, whose linear dimension was close to the average length of wood fibers, was simulated by the lattice-Boltzmann method. In spite of the size of the system not being large with respect to the size of structural inhomogeneities in the sample, for unidirectional penetration the simulated behavior was described well by that of the Lucas-Washburn equation, while for radial penetration a radial capillary equation described the behavior. In both cases the average penetration depth of the liquid front as a function of time followed a power law over many orders of magnitude. Capillary penetration of small droplets of liquid was also simulated in the same three-dimensional image of paper. In this case the simulation results could be described by a generalized form of the radial-penetration equation.