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On the use of autocorrelation functions, permeability tensors, and computed tomography to characterise the anisotropy of diesel particulate filter materials
Philosophical Magazine ( IF 1.6 ) Pub Date : 2020-08-03 , DOI: 10.1080/14786435.2020.1798532
D. Bernard 1 , F. Léonard 2 , E. Plougonven 3 , G. Bruno 2, 4
Affiliation  

ABSTRACT We show how the combination of the spatial autocorrelation function and permeability calculations, applied to 3D X-ray computed tomography data, can yield quantitative information on the anisotropy of both meso-structure and fluid flow in Diesel Particulate Filter (DPF) materials, such as Cordierite and SiC. It was found that both the degree of anisotropy, and the orientation of the permeability and meso-structure are similar, but not identical. We confirm that the morphological anisotropy of cordierite materials is weak, and clearly influenced by the extrusion process that determines the main direction of anisotropy. Properties of the autocorrelation function are discussed and it is shown why estimating the characteristic length of real meso-structures (grain or ‘pore’ size) is not possible. Finally, we show that the autocorrelation function applied on grey-level images can give a good estimate of the degree of anisotropy even with limited resolution.

中文翻译:

关于使用自相关函数、渗透率张量和计算机断层扫描来表征柴油微粒过滤器材料的各向异性

摘要 我们展示了空间自相关函数和渗透率计算的组合如何应用于 3D X 射线计算机断层扫描数据,可以产生有关柴油颗粒过滤器 (DPF) 材料中细观结构和流体流动各向异性的定量信息,例如如堇青石和碳化硅。发现各向异性程度、渗透率和细观结构的取向相似,但不完全相同。我们确认堇青石材料的形态各向异性很弱,并且明显受到决定各向异性主要方向的挤压过程的影响。讨论了自相关函数的特性,并说明了为什么不可能估计真实细观结构(晶粒或“孔”尺寸)的特征长度。最后,
更新日期:2020-08-03
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