Permeability of packs of polydisperse hard spheres.

Permeability of packs of polydisperse hard spheres.
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多分散硬球包的渗透性。

DOI:
10.1103/physreve.103.062613
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发表时间:
2021
期刊:
Physical review. E
影响因子:
--
通讯作者:
Vasseur J
Vasseur J
中科院分区:
--
文献类型:
--
作者:
Vasseur J

文献摘要

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在各种物理情况下,球团的渗透率是很重要的。在这里,我们创建了数值生成的多分散球体的随机周期域,并使用晶格-玻尔兹曼流体流动模拟来确定孔隙相间隙对球体的渗透率。我们控制了球体尺寸分布的多分散性和孔隙度,从高孔隙度到球体紧密堆积的整个范围。我们发现所有的结果都符合适合多分散球体尺寸的Stokes渗透率。我们表明,我们对球随机分布的渗透率的测定可以很好地近似于孔隙度大于的立方球阵列模型,没有任何拟合参数。在这个值以下,Kozeny-Carman关系提供了一个很好的近似,密集,紧密排列的球体包在所有的多色散。
The permeability of packs of spheres is important in a wide range of physical scenarios. Here, we create numerically generated random periodic domains of spheres that are polydisperse in size and use lattice-Boltzmann simulations of fluid flow to determine the permeability of the pore phase interstitial to the spheres. We control the polydispersivity of the sphere size distribution and the porosity across the full range from high porosity to a close packing of spheres. We find that all results scale with a Stokes permeability adapted for polydisperse sphere sizes. We show that our determination of the permeability of random distributions of spheres is well approximated by models for cubic arrays of spheres at porosities greater than, without any fitting parameters. Below this value, the Kozeny-Carman relationship provides a good approximation for dense, closely packed sphere packs across all polydispersivity.