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A Fractal Model of Effective Thermal Conductivity of Porous Materials Considering Tortuosity

Author

Listed:
  • Chen Zhan

    (School of Energy and Power Engineering, Chongqing University, Chongqing 400030, China
    Key Laboratory of Low-Grade Energy Utilization Technology and Systems, Chongqing University, Ministry of Education, Chongqing 400030, China)

  • Wenzhi Cui

    (School of Energy and Power Engineering, Chongqing University, Chongqing 400030, China
    Key Laboratory of Low-Grade Energy Utilization Technology and Systems, Chongqing University, Ministry of Education, Chongqing 400030, China)

  • Longjian Li

    (School of Energy and Power Engineering, Chongqing University, Chongqing 400030, China
    Key Laboratory of Low-Grade Energy Utilization Technology and Systems, Chongqing University, Ministry of Education, Chongqing 400030, China)

Abstract

Accurate estimation of the thermal conductivity of porous materials is crucial for the modeling of heat transfer and energy consumption calculation in energy, aerospace, biomedicine and chemical engineering, etc. The series-parallel model is a simple and direct method and is usually used in the prediction of the effective thermal conductivity (ETC) of porous materials. In this work, the weighted coefficients of the series and parallel section were obtained based on the tortuosity of the porous materials. Then, the physical model of the ETC of the porous materials was established. Furthermore, the ETC of the porous materials was developed using the fractal model to calculate the pore cross-sectional area of the porous materials. Finally, quantitative analysis of the characteristic parameters, e.g., porosity, tortuosity, tortuous fractal dimension and pore diameter distribution, of the ETC of the porous materials was conducted. The results show that the proposed model can provide an accurate prediction of the ETC of porous materials.

Suggested Citation

  • Chen Zhan & Wenzhi Cui & Longjian Li, 2022. "A Fractal Model of Effective Thermal Conductivity of Porous Materials Considering Tortuosity," Energies, MDPI, vol. 16(1), pages 1-16, December.
    • Handle: RePEc:gam:jeners:v:16:y:2022:i:1:p:271-:d:1015999
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    References listed on IDEAS

    as
    1. Lijun You & Jianchao Cai & Yili Kang & Liang Luo, 2013. "A Fractal Approach To Spontaneous Imbibition Height In Natural Porous Media," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(09), pages 1-10.
    2. He Meng & Qiang Shi & Tangyan Liu & FengXin Liu & Peng Chen, 2019. "The Percolation Properties of Electrical Conductivity and Permeability for Fractal Porous Media," Energies, MDPI, vol. 12(6), pages 1-15, March.
    3. Yongquan Hu & Qiang Wang & Jinzhou Zhao & Shouchang Xie & Hong Jiang, 2020. "A Novel Porous Media Permeability Model Based on Fractal Theory and Ideal Particle Pore-Space Geometry Assumption," Energies, MDPI, vol. 13(3), pages 1-17, January.
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