A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials
In this paper, a model generation algorithm for non-equal diameter particles with a specified probability density distribution is proposed. Based on considering the randomness of the size and distribution of the particles, the compact stacking of the particles is realized by the compactness algorith...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/14/4733 |
| _version_ | 1797433387076550656 |
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| author | Wei Zhang Lile He Fazhan Wang Guangyong Zhang |
| author_facet | Wei Zhang Lile He Fazhan Wang Guangyong Zhang |
| author_sort | Wei Zhang |
| collection | DOAJ |
| description | In this paper, a model generation algorithm for non-equal diameter particles with a specified probability density distribution is proposed. Based on considering the randomness of the size and distribution of the particles, the compact stacking of the particles is realized by the compactness algorithm, and then the spatial distribution of the tightly compacted particles is made to meet the random distribution of the specified probability density and the specified volume fraction by the filtering algorithm. The computational efficiency and effectiveness of the algorithm are verified, and the effects of the particle size and volume fraction on the distribution are analyzed. Finally, the proposed model has been used to study the permeability of a titanium porous filter cartridge. The results show that the size and location of the particle samples that are generated by the proposed algorithm follow specified probability distributions according to the requirements, and the volume fraction can be adjusted. Compared with the traditional algorithm, the computational effort and complexity are reduced. The resultant model can be used to study the permeability of porous materials and provide modeling support for structural optimization and further simulation of porous materials. |
| first_indexed | 2024-03-09T10:16:18Z |
| format | Article |
| id | doaj.art-57e78c1186d7492295b56921e6fc0936 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T10:16:18Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-57e78c1186d7492295b56921e6fc09362023-12-01T22:22:24ZengMDPI AGMaterials1996-19442022-07-011514473310.3390/ma15144733A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable MaterialsWei Zhang0Lile He1Fazhan Wang2Guangyong Zhang3School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaSchool of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaSchool of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaState Key Laboratory of Metal Extrusion and Forging Equipment Technology, China National Heavy Machinery Research Institute Co., Ltd., Xi’an 710018, ChinaIn this paper, a model generation algorithm for non-equal diameter particles with a specified probability density distribution is proposed. Based on considering the randomness of the size and distribution of the particles, the compact stacking of the particles is realized by the compactness algorithm, and then the spatial distribution of the tightly compacted particles is made to meet the random distribution of the specified probability density and the specified volume fraction by the filtering algorithm. The computational efficiency and effectiveness of the algorithm are verified, and the effects of the particle size and volume fraction on the distribution are analyzed. Finally, the proposed model has been used to study the permeability of a titanium porous filter cartridge. The results show that the size and location of the particle samples that are generated by the proposed algorithm follow specified probability distributions according to the requirements, and the volume fraction can be adjusted. Compared with the traditional algorithm, the computational effort and complexity are reduced. The resultant model can be used to study the permeability of porous materials and provide modeling support for structural optimization and further simulation of porous materials.https://www.mdpi.com/1996-1944/15/14/4733non-equal diameter particlesspecified probability densityrandom fillingpermeabilityporous materials |
| spellingShingle | Wei Zhang Lile He Fazhan Wang Guangyong Zhang A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials Materials non-equal diameter particles specified probability density random filling permeability porous materials |
| title | A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials |
| title_full | A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials |
| title_fullStr | A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials |
| title_full_unstemmed | A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials |
| title_short | A Stochastic Filling and Modeling Algorithm of Non-Equal Diameter Particles with Specified Probability Density for Porous Permeable Materials |
| title_sort | stochastic filling and modeling algorithm of non equal diameter particles with specified probability density for porous permeable materials |
| topic | non-equal diameter particles specified probability density random filling permeability porous materials |
| url | https://www.mdpi.com/1996-1944/15/14/4733 |
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