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首页> 外文期刊>International Journal of Multiphase Flow >Slow flow through a model fibrous porous medium
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Slow flow through a model fibrous porous medium

机译:缓慢通过模型纤维多孔介质

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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.
机译:使用分析技术来找到纤维多孔介质模型的渗透率。该模型是一组薄环形盘,这些环形盘在垂直于流的平面中定期间隔开,其中重复单元是正方形或等边三角形,并且这些平面在流向上均匀间隔。通过分布奇异方法找到流经阵列的斯托克斯方程的解,并通过渐近技术估算磁盘上的阻力,在渐进技术中,每个环的半径之比趋于统一。通过拖曳,发现阵列的流动阻力或渗透性。通过将薄盘与薄环(tori)匹配,该阵列可模拟纤维材料(例如过滤器),其中的纤维是弯曲的,垂直于流动方向并且是随机定向的。计算了各种环尺寸和间距,三种阵列配置以及0.0002–0.02范围内的固体体积分数的渗透率。结果表明,最小渗透率通常发生在平面内固体材料最均匀的分布上。与等效杆阵列的比较表明,即使环产生了更多的曲折流动路径,环阵列通常具有更高的渗透率。

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