Geometrical and topological measures for hydrodynamic dispersion in confined sphere packings at low column-to-particle diameter ratios.
Geometrical and topological measures for hydrodynamic dispersion in confined sphere packings at low column-to-particle diameter ratios.
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DOI：
10.1016/j.chroma.2012.08.086
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发表时间：
2012-11
期刊：
影响因子：
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通讯作者：
S. Khirevich;A. Höltzel;A. Seidel-Morgenstern;U. Tallarek
中科院分区：
文献类型：
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作者：
S. Khirevich;A. Höltzel;A. Seidel-Morgenstern;U. Tallarek
在低柱-颗粒直径（或纵横）比（dc/dp）下，动力学柱性能由跨柱无序支配，所述跨柱无序由更均匀、更松散填充的壁区域和随机、致密的芯之间的形态梯度产生。为了系统地分析这种形态-分散关系，我们用计算机生成了一组不同三个参数的受限球体填充：纵横比（dc/dp=10-30），床层孔隙度（ε =0.40-0.46）和填充均匀性。板高曲线从在宽范围的约化速度（v=0.5-500）内的填料中的流体动力学分散的模拟中获得。从径向孔隙度和速度分布的几何措施是不够的板块高度数据的形态描述符。Voronoi镶嵌后的包装，拓扑信息获得的自由Voronoi体积（Vfree）分布的统计矩。Vfreedistributions的标准偏差的径向分布的形式的一个整体的措施被确定为一个定量的标量测量的transcolumn的障碍。第一个形态分散相关的密闭球填料加深了我们的理解，如何包装的微观结构决定的动力学柱的性能。
At low column-to-particle diameter (or aspect) ratio (dc/dp) the kinetic column performance is dominated by the transcolumn disorder that arises from the morphological gradient between the more homogeneous, looser packed wall region and the random, dense core. For a systematic analysis of this morphology–dispersion relation we computer-generated a set of confined sphere packings varying three parameters: aspect ratio (dc/dp=10–30), bed porosity (ɛ=0.40–0.46), and packing homogeneity. Plate height curves were received from simulation of hydrodynamic dispersion in the packings over a wide range of reduced velocities (v=0.5–500). Geometrical measures derived from radial porosity and velocity profiles were insufficient as morphological descriptors of the plate height data. After Voronoi tessellation of the packings, topological information was obtained from the statistical moments of the free Voronoi volume (Vfree) distributions. The radial profile of the standard deviation of the Vfreedistributions in the form of an integral measure was identified as a quantitative scalar measure for the transcolumn disorder. The first morphology–dispersion correlation for confined sphere packings deepens our understanding of how the packing microstructure determines the kinetic column performance.