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圆柱形颗粒二元混合物的近似堆积

Approximate Packing of Binary Mixtures of Cylindrical Particles.

作者信息

Iniyatova Gulfairuz, Yermukhambetova Assiya, Boribayeva Aidana, Golman Boris

机构信息

Department of Chemical and Materials Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Astana 01000, Kazakhstan.

出版信息

Micromachines (Basel). 2022 Dec 23;14(1):36. doi: 10.3390/mi14010036.

DOI:10.3390/mi14010036
PMID:36677097
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9862688/
Abstract

Particle packing plays an essential role in industry and chemical engineering. In this work, the discrete element method is used to generate the cylindrical particles and densify the binary cylindrical particle mixtures under the poured packing conditions. The influences of the aspect ratio and volume fraction of particles on the packing structure are measured by planar packing fraction. The Voronoi tessellation is used to quantify the porous structure of packing. The cumulative distribution functions of local packing fractions and the probability distributions of the reduced free volume of Voronoi cells are calculated to describe the local packing characteristics of binary mixtures with different volume fractions. As a result, it is observed that particles with larger aspect ratios in the binary mixture tend to orient randomly, and the particles with smaller aspect ratios have a preferentially horizontal orientation. Results also show that the less dense packings are obtained for mixtures with particles of higher aspect ratios and mixtures with a larger fraction of elongated cylindrical particles.

摘要

颗粒堆积在工业和化学工程中起着至关重要的作用。在这项工作中,采用离散元方法生成圆柱形颗粒,并在倾倒填充条件下使二元圆柱形颗粒混合物致密化。通过平面填充率来测量颗粒的长径比和体积分数对堆积结构的影响。利用Voronoi镶嵌来量化堆积的多孔结构。计算局部填充率的累积分布函数和Voronoi单元的约化自由体积的概率分布,以描述不同体积分数的二元混合物的局部堆积特征。结果表明,二元混合物中长径比大的颗粒倾向于随机取向,而长径比小的颗粒优先水平取向。结果还表明,对于长径比高的颗粒混合物和细长圆柱形颗粒比例大的混合物,得到的堆积密度较低。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/eee413d908c8/micromachines-14-00036-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/e0214bf80fb8/micromachines-14-00036-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/d4851e199ca2/micromachines-14-00036-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/645d356af5e6/micromachines-14-00036-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/ff14af0a1b9f/micromachines-14-00036-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/925885fbf2e3/micromachines-14-00036-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/02e7c0aac7fe/micromachines-14-00036-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/b2b7c889afe8/micromachines-14-00036-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/370cd9a84368/micromachines-14-00036-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/e620bc1b1e91/micromachines-14-00036-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/eee413d908c8/micromachines-14-00036-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/e0214bf80fb8/micromachines-14-00036-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/d4851e199ca2/micromachines-14-00036-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/645d356af5e6/micromachines-14-00036-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/ff14af0a1b9f/micromachines-14-00036-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/925885fbf2e3/micromachines-14-00036-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/02e7c0aac7fe/micromachines-14-00036-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/b2b7c889afe8/micromachines-14-00036-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/370cd9a84368/micromachines-14-00036-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/e620bc1b1e91/micromachines-14-00036-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ed2f/9862688/eee413d908c8/micromachines-14-00036-g010.jpg

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本文引用的文献

1
Porous Structure of Cylindrical Particle Compacts.圆柱形颗粒压坯的多孔结构
Micromachines (Basel). 2021 Nov 30;12(12):1498. doi: 10.3390/mi12121498.
2
Analysis of Tortuosity in Compacts of Ternary Mixtures of Spherical Particles.球形颗粒三元混合物压块的曲折度分析
Materials (Basel). 2020 Oct 10;13(20):4487. doi: 10.3390/ma13204487.
3
Universality of internal structure characteristics in granular media under shear.剪切作用下颗粒介质内部结构特征的普遍性
Phys Rev E. 2020 Jan;101(1-1):012906. doi: 10.1103/PhysRevE.101.012906.
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Local origin of global contact numbers in frictional ellipsoid packings.摩擦椭球堆积中全局接触数的局域起源。
Phys Rev Lett. 2015 Apr 17;114(15):158001. doi: 10.1103/PhysRevLett.114.158001. Epub 2015 Apr 14.
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Minkowski tensor shape analysis of cellular, granular and porous structures.细胞、颗粒和多孔结构的闵可夫斯基张量形状分析。
Adv Mater. 2011 Jun 17;23(22-23):2535-53. doi: 10.1002/adma.201100562.