Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness
In the study of heat transfer in tree-like branching network, neither the heat convection caused by fluid flow in the tree-like branching network nor the asymmetric structure of the tree-like branching network can be ignored. In this work, we assume the porous media is embedded with a tree-like bran...
| Main Authors: | , , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/1/5 |
| _version_ | 1797442380141428736 |
|---|---|
| author | Yihao Shao Huai Yang Xiuya Guo Huili Wang Limei Zhu Xuan Ma Ruijuan Chen Shufen Ruan Lulu Ren Qian Zheng |
| author_facet | Yihao Shao Huai Yang Xiuya Guo Huili Wang Limei Zhu Xuan Ma Ruijuan Chen Shufen Ruan Lulu Ren Qian Zheng |
| author_sort | Yihao Shao |
| collection | DOAJ |
| description | In the study of heat transfer in tree-like branching network, neither the heat convection caused by fluid flow in the tree-like branching network nor the asymmetric structure of the tree-like branching network can be ignored. In this work, we assume the porous media is embedded with a tree-like branching network that are characterized by damaged pipes. We investigated the effects of surface roughness on heat conduction and heat convection in the porous media embedded with the damaged tree-like branching network based on the fractal features of tree-like branching networks and the basic theory of thermodynamics. The proposed model for thermal conductivity can be expressed as a function of micro-structural parameters of the composite, such as the relative roughness, the ratio of thermal conductivity of the wall to that of the fluid in the micro-channel, the diameter ratio, the length ratio, the branching level, the number of damaged channels, the total number of branching levels, and the main tube porosity of the porous media. The effects of the micro-structural parameters of the model on its effective thermal conductivity have been analyzed in detail. It is believed that the joint expression of heat conduction and heat convection could enrich and develop the physical study of heat transport in porous media. |
| first_indexed | 2024-03-09T12:41:02Z |
| format | Article |
| id | doaj.art-96cb8ab9e6c04e82b13845e58a40c2e7 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T12:41:02Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-96cb8ab9e6c04e82b13845e58a40c2e72023-11-30T22:18:42ZengMDPI AGFractal and Fractional2504-31102022-12-0171510.3390/fractalfract7010005Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of RoughnessYihao Shao0Huai Yang1Xiuya Guo2Huili Wang3Limei Zhu4Xuan Ma5Ruijuan Chen6Shufen Ruan7Lulu Ren8Qian Zheng9School 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, 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, ChinaSchool of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaIn the study of heat transfer in tree-like branching network, neither the heat convection caused by fluid flow in the tree-like branching network nor the asymmetric structure of the tree-like branching network can be ignored. In this work, we assume the porous media is embedded with a tree-like branching network that are characterized by damaged pipes. We investigated the effects of surface roughness on heat conduction and heat convection in the porous media embedded with the damaged tree-like branching network based on the fractal features of tree-like branching networks and the basic theory of thermodynamics. The proposed model for thermal conductivity can be expressed as a function of micro-structural parameters of the composite, such as the relative roughness, the ratio of thermal conductivity of the wall to that of the fluid in the micro-channel, the diameter ratio, the length ratio, the branching level, the number of damaged channels, the total number of branching levels, and the main tube porosity of the porous media. The effects of the micro-structural parameters of the model on its effective thermal conductivity have been analyzed in detail. It is believed that the joint expression of heat conduction and heat convection could enrich and develop the physical study of heat transport in porous media.https://www.mdpi.com/2504-3110/7/1/5thermal conductivitydamaged tree-like branching networkroughnessheat convection |
| spellingShingle | Yihao Shao Huai Yang Xiuya Guo Huili Wang Limei Zhu Xuan Ma Ruijuan Chen Shufen Ruan Lulu Ren Qian Zheng Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness Fractal and Fractional thermal conductivity damaged tree-like branching network roughness heat convection |
| title | Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness |
| title_full | Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness |
| title_fullStr | Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness |
| title_full_unstemmed | Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness |
| title_short | Thermal Conductivity Model of Porous Media Embedded with a Damaged Tree-like Branching Network Considering the Influence of Roughness |
| title_sort | thermal conductivity model of porous media embedded with a damaged tree like branching network considering the influence of roughness |
| topic | thermal conductivity damaged tree-like branching network roughness heat convection |
| url | https://www.mdpi.com/2504-3110/7/1/5 |
| work_keys_str_mv | AT yihaoshao thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT huaiyang thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT xiuyaguo thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT huiliwang thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT limeizhu thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT xuanma thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT ruijuanchen thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT shufenruan thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT luluren thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness AT qianzheng thermalconductivitymodelofporousmediaembeddedwithadamagedtreelikebranchingnetworkconsideringtheinfluenceofroughness |