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Heat Conduction in Porous Media Characterized by Fractal Geometry

Author

Listed:
  • Zilong Deng

    (Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu, China)

  • Xiangdong Liu

    (School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China)

  • Yongping Huang

    (Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu, China)

  • Chengbin Zhang

    (Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu, China)

  • Yongping Chen

    (Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
    Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu, China
    School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China)

Abstract

Fractal geometry (fractional Brownian motion—FBM) is introduced to characterize the pore distribution of porous material. Based on this fractal characterization, a mathematical model of heat conduction is presented to study heat conduction behaviors in porous material with a focus on effective thermal conductivity. The role of pore structure on temperature distribution and heat flux is examined and investigated for fractal porous material. In addition, the effects of fractal dimension, porosity, and the ratio of solid-matrix-to-fluid-phase thermal conductivity ( k s / k f ) on effective thermal conductivity are evaluated. The results indicate that pore structure has an important effect on heat conduction inside porous material. Increasing porosity lowers thermal conductivity. Even when porosity remains constant, effective thermal conductivity is affected by the fractal dimensions of the porous material. For porous material, the heat conduction capability weakens with increased fractal dimension. Additionally, fluid-phase thermal conduction across pores is effective in porous material only when k s / k f < 50. Otherwise, effective thermal conductivity for porous material with a given pore structure depends primarily on the thermal conductivity of the solid matrix.

Suggested Citation

  • Zilong Deng & Xiangdong Liu & Yongping Huang & Chengbin Zhang & Yongping Chen, 2017. "Heat Conduction in Porous Media Characterized by Fractal Geometry," Energies, MDPI, vol. 10(8), pages 1-14, August.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:8:p:1230-:d:108838
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    References listed on IDEAS

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    1. Pavel Neuberger & Radomír Adamovský & Michaela Šeďová, 2014. "Temperatures and Heat Flows in a Soil Enclosing a Slinky Horizontal Heat Exchanger," Energies, MDPI, vol. 7(2), pages 1-16, February.
    2. Yu Jin Nam & Xin Yang Gao & Sung Hoon Yoon & Kwang Ho Lee, 2015. "Study on the Performance of a Ground Source Heat Pump System Assisted by Solar Thermal Storage," Energies, MDPI, vol. 8(12), pages 1-17, November.
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    Cited by:

    1. Haiyuan Yang & Li Zhang & Ronghe Liu & Xianli Wen & Yongfei Yang & Lei Zhang & Kai Zhang & Roohollah Askari, 2019. "Thermal Conduction Simulation Based on Reconstructed Digital Rocks with Respect to Fractures," Energies, MDPI, vol. 12(14), pages 1-13, July.
    2. Dingming Zheng & Lei Su & Haoyu Ou & Shijie Ruan, 2022. "Study on Heat Transfer Characteristics and Performance of the Full Premixed Cauldron Stove with Porous Media," Energies, MDPI, vol. 15(24), pages 1-23, December.
    3. Lijun Gao & Yunze Li & Huijuan Xu & Xin Zhang & Man Yuan & Xianwen Ning, 2019. "Numerical Investigation on Heat-Transfer and Hydromechanical Performance inside Contaminant-Insensitive Sublimators under a Vacuum Environment for Spacecraft Applications," Energies, MDPI, vol. 12(23), pages 1-21, November.

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