Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks
Due to the complexity of the microstructure of porous media, it is of great significance to explore the heat transport mechanism in porous media in many engineering applications. In this study, an expression for effective thermal conductivity (ETC) of porous media embedded with randomly distributed...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/12/853 |
| _version_ | 1827574743913463808 |
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| author | Yihao Shao Xiuya Guo Huili Wang Limei Zhu Qian Zheng |
| author_facet | Yihao Shao Xiuya Guo Huili Wang Limei Zhu Qian Zheng |
| author_sort | Yihao Shao |
| collection | DOAJ |
| description | Due to the complexity of the microstructure of porous media, it is of great significance to explore the heat transport mechanism in porous media in many engineering applications. In this study, an expression for effective thermal conductivity (ETC) of porous media embedded with randomly distributed damaged tree-like bifurcation networks is derived based on the theory of thermodynamics and fractal features of tree-like bifurcation networks. We investigate the effect of heat conduction and heat convection in porous media embedded with randomly distributed damaged tree-like bifurcation networks on the ETC of the porous media. It is found that our fractal model has good consistency with the existing available experimental data. In addition, the influence of the microstructural parameters of the model on heat transfer in the porous media is analyzed in detail. The research results can provide significant theoretical guidance for the development and design of heat transfer systems. |
| first_indexed | 2024-03-08T20:45:25Z |
| format | Article |
| id | doaj.art-17af590624f84783bed0399fae986da1 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-08T20:45:25Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-17af590624f84783bed0399fae986da12023-12-22T14:09:58ZengMDPI AGFractal and Fractional2504-31102023-11-0171285310.3390/fractalfract7120853Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation NetworksYihao Shao0Xiuya Guo1Huili Wang2Limei Zhu3Qian Zheng4School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaDue to the complexity of the microstructure of porous media, it is of great significance to explore the heat transport mechanism in porous media in many engineering applications. In this study, an expression for effective thermal conductivity (ETC) of porous media embedded with randomly distributed damaged tree-like bifurcation networks is derived based on the theory of thermodynamics and fractal features of tree-like bifurcation networks. We investigate the effect of heat conduction and heat convection in porous media embedded with randomly distributed damaged tree-like bifurcation networks on the ETC of the porous media. It is found that our fractal model has good consistency with the existing available experimental data. In addition, the influence of the microstructural parameters of the model on heat transfer in the porous media is analyzed in detail. The research results can provide significant theoretical guidance for the development and design of heat transfer systems.https://www.mdpi.com/2504-3110/7/12/853effective thermal conductivityfractalsporous mediadamaged tree-like bifurcation network |
| spellingShingle | Yihao Shao Xiuya Guo Huili Wang Limei Zhu Qian Zheng Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks Fractal and Fractional effective thermal conductivity fractals porous media damaged tree-like bifurcation network |
| title | Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks |
| title_full | Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks |
| title_fullStr | Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks |
| title_full_unstemmed | Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks |
| title_short | Research on Effective Thermal Conductivity in Porous Media Embedded with Randomly Distributed Damaged Tree-like Bifurcation Networks |
| title_sort | research on effective thermal conductivity in porous media embedded with randomly distributed damaged tree like bifurcation networks |
| topic | effective thermal conductivity fractals porous media damaged tree-like bifurcation network |
| url | https://www.mdpi.com/2504-3110/7/12/853 |
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