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An Analytical Model For Effective Thermal Conductivity Of The Media Embedded With Fracture Networks Of Power Law Length Distributions

Author

Listed:
  • TONGJUN MIAO

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • AIMIN CHEN

    (��School of Chemistry and Chemical Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • LIJUAN JIANG

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • HUAJIE ZHANG

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • JUNFENG LIU

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • BOMING YU

    (��School of Physics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China)

Abstract

The effective thermal conductivity of porous media is of steady interest in the design of new materials. In this study, an analytical model for dimensionless effective thermal conductivity of media embedded with fracture networks of the power law length distributions is proposed. It is found that the proposed dimensionless effective thermal conductivity is a function of micro-structural parameters of media, such as the porosity (ϕ) and fracture orientation (dip 𠜃 and azimuth φ). The present results show that the dimensionless effective thermal conductivity of the media increases with the increase in the ratio (ks/kf) and the power law exponent α at ks/kf < 1. Inversely, when ks/kf > 1, it decreases with the increase in the power law exponent α. In addition, the dimensionless effective thermal conductivity is gradually independent of the orientation as the ratio ks/kf > 1. The present model may provide a significant insight into the mechanism of heat transfer in the media embedded with fracture networks of power law length distributions.

Suggested Citation

  • Tongjun Miao & Aimin Chen & Lijuan Jiang & Huajie Zhang & Junfeng Liu & Boming Yu, 2022. "An Analytical Model For Effective Thermal Conductivity Of The Media Embedded With Fracture Networks Of Power Law Length Distributions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-7, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500013
    DOI: 10.1142/S0218348X22500013
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