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Analysis Of Thermal Conductivity Of Damaged Tree-Like Bifurcation Network With Fractal Roughened Surfaces

Author

Listed:
  • BOQI XIAO

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • JING FANG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • GONGBO LONG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • YUANZHANG TAO

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • ZIJUN HUANG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

Abstract

Tree bifurcation network has always been a hot issue concerning scientists all over the world. However, the research on the heat conduction properties of damaged tree-like bifurcation networks is insufficient, and many issues remain unsolved. Therefore, this paper systematically studies the heat conduction phenomenon of a new damaged tree-like bifurcation network with fractal roughened surfaces (FRS), and derives the equivalent thermal conductivity of damaged network. According to the study, the dimensionless thermal conductivity (DTC) shows a downward trend with an increase in roughness. In addition, it can be seen that an increase in the number of damaged channels leads to a downward trend in the optimal thermal conductivity, but a slow upward trend in the critical diameter. Another interesting phenomenon is that the factors leading to the change in the optimal thermal conductivity do not include the total number of bifurcation levels, bifurcation number or the fractal dimension of length distribution. The model established in this paper does not contain any empirical constants to ensure that each parameter has its physical significance, revealing the heat transfer mechanism of tree-like bifurcation network more profoundly.

Suggested Citation

  • Boqi Xiao & Jing Fang & Gongbo Long & Yuanzhang Tao & Zijun Huang, 2022. "Analysis Of Thermal Conductivity Of Damaged Tree-Like Bifurcation Network With Fractal Roughened Surfaces," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-13, September.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:06:n:s0218348x22501043
    DOI: 10.1142/S0218348X22501043
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    Cited by:

    1. Gongbo Long & Yingjie Liu & Wanrong Xu & Peng Zhou & Jiaqi Zhou & Guanshui Xu & Boqi Xiao, 2022. "Analysis of Crack Problems in Multilayered Elastic Medium by a Consecutive Stiffness Method," Mathematics, MDPI, vol. 10(23), pages 1-16, November.
    2. Khalil Ur Rehman & Wasfi Shatanawi & Andaç Batur Çolak, 2023. "Artificial Neural Networking Magnification for Heat Transfer Coefficient in Convective Non-Newtonian Fluid with Thermal Radiations and Heat Generation Effects," Mathematics, MDPI, vol. 11(2), pages 1-29, January.

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