Parallel Flow Through Ordered Fibers: An Analytical Approach
Parallel Flow Through Ordered Fibers: An Analytical Approach
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通过有序纤维的平行流：一种分析方法
DOI：
10.1115/1.4002169
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Bahrami
中科院分区：
文献类型：
--
作者：
A. Tamayol;M. Bahrami
本文对平行于有序纤维的完全发育流进行了分析研究。所考虑的纤维介质由直线（方形）、交错和六边形的圆柱体阵列组成。从泊松方程的通解出发，给出了考虑结构的速度分布和渗透率的紧致解析解。此外，在整个孔隙度范围内对所考虑的布置进行了独立的数值模拟，并将结果与所提出的解决方案进行了比较。通过与其他实验数据的比较，以及在较宽孔隙度范围内的数值结果，成功地验证了所开发的解。结果表明：对于高孔隙度的有序排列，平行渗透率与微观结构几何排列无关；另一方面，对于低孔隙率，六角形排列提供了较低的压降，正如预期的那样。
In this study, fully developed flow parallel to ordered fibers is investigated analytically. The considered fibrous media are made up of in-line (square), staggered, and hexagonal arrays of cylinders. Starting from the general solution of Poisson’s equation, compact analytical solutions are proposed for both velocity distribution and permeability of the considered structures. In addition, independent numerical simulations are performed for the considered arrangements over the entire range of porosity and the results are compared with the proposed solutions. The developed solutions are successfully verified through comparison with experimental data, collected by others, and the present numerical results over a wide range of porosity. The results show that for the ordered arrangements with high porosity, the parallel permeability is independent of the microstructure geometrical arrangements; on the other hand, for lower porosities the hexagonal arrangement provides lower pressure drop, as expected.