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A Novel Analytical Model Of The Effective Thermal Conductivity Of Porous Materials Under Stress

Author

Listed:
  • JIADI TANG

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

  • GANG LEI

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China†Shenzhen Research Institute, China University of Geosciences, Shenzhen 518063, China)

  • XIAODONG LI

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

  • LING ZHANG

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

  • WAN CHENG

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

  • JIANGTAO PANG

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

  • GUOSHENG JIANG

    (Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China)

Abstract

With the increasing demand for energy, heat and mass transfer through porous media has been widely studied. To achieve accuracy in studying the behavior of heat transfer, a good knowledge of the effective thermal conductivity (ETC) of porous materials is needed. Because pore structure dominates the ETC of porous materials and effective stress leads to a change in pore structure, effective stress is one of the key influencing factors affecting ETC. In this study, considering the structure of surface roughness and pore size, based on fractal theory, a novel analytical solution at the pore scale for ETC of porous materials under stress conditions is proposed. Furthermore, in this model, capillaries in porous materials saturated with multiple phases have sinusoidal periodically constricted boundaries. The derived ETC model is validated against available experimental data. Moreover, the influences of the effective stress, initial effective porosity, roughness structure characterization, and wetting phase saturation on the ETC are analyzed. Compared with previous models, the rough surfaces of porous materials and the coupling of heat conduction and mechanics are taken into consideration to make the model more reasonable. As a result, this ETC model can better reveal the mechanism of heat conduction in porous media under stress conditions.

Suggested Citation

  • Jiadi Tang & Gang Lei & Xiaodong Li & Ling Zhang & Wan Cheng & Jiangtao Pang & Guosheng Jiang, 2023. "A Novel Analytical Model Of The Effective Thermal Conductivity Of Porous Materials Under Stress," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(08), pages 1-20.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:08:n:s0218348x2340176x
    DOI: 10.1142/S0218348X2340176X
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    Cited by:

    1. Lei, Gang & Tang, Jiadi & Zhang, Ling & Wu, Qi & Li, Jun, 2024. "Effective thermal conductivity for hydrate-bearing sediments under stress and local thermal stimulation conditions: A novel analytical model," Energy, Elsevier, vol. 288(C).

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