Slow flow through a model fibrous porous medium
Slow flow through a model fibrous porous medium
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DOI：
10.1016/0301-9322(96)00017-1
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发表时间：
1996-09-01
影响因子：
3.8
通讯作者：
James, DF
中科院分区：
文献类型：
--
作者：
Davis, AMJ;James, DF
分析技术被用来找到一个模型的纤维多孔介质的渗透率。该模型是一个阵列的薄环形盘周期性地间隔在平面垂直于流，其中的重复单元是一个正方形或等边三角形，和平面均匀地间隔在流动方向。流通过阵列的斯托克斯方程的解决方案是由分布奇点的方法，和磁盘上的阻力估计的渐近技术，其中每个环的半径的比率趋于统一。通过将薄圆盘与薄环（环面）相匹配，阵列模拟了纤维材料，如过滤器，其中纤维是弯曲的，垂直于流动，并且随机取向。计算的渗透率的各种环的尺寸和间距，为三个阵列的配置，和固体体积分数在0.0002-0.02的范围内。结果表明，当固体材料在平面内分布最均匀时，渗透率一般最小。与等效杆阵列的比较表明，环阵列一般具有较高的渗透率，即使环创建更曲折的流动路径。版权所有（C）1996 Elsevier Science Ltd.
Analytical techniques are used to find the permeability of a model of a fibrous porous medium. The model is an array of thin annular disks periodically spaced in planes normal to the flow, where the repeating unit is a square or an equilateral triangle, and the planes are uniformly spaced in the flow direction. The solution of the Stokes equations for flow through the array is found by the method of distributed singularities, and the drag on a disk is estimated by an asymptotic technique in which the ratio of the radii of each annulus tends to unity. From the drag, the flow resistance or permeability of the array is found. By matching the thin disks to thin rings (tori), the array simulates fibrous materials like filters, in which the fibers are curved, perpendicular to the flow, and randomly oriented. Calculations of permeability are made for various ring sizes and spacings, for three array configurations, and for solid volume fractions in the range 0.0002-0.02. The results show that minimum permeability generally occurs for the most uniform distribution of solid material in a plane. Comparisons with equivalent rod arrays reveal that ring arrays generally have higher permeabilities, even though the rings create more tortuous flow paths. Copyright (C) 1996 Elsevier Science Ltd.