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A Novel Fractal Model For Gas Diffusion Coefficient In Dry Porous Media Embedded With A Damaged Tree-Like Branching Network

Author

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  • BOQI XIAO

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China†Hebei State Key Laboratory of Mine Disaster Prevention, North China Institute of Science and Technology, Beijing 101601, P. R. China)

  • PEILONG WANG

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

  • JINSUI WU

    (��Hebei State Key Laboratory of Mine Disaster Prevention, North China Institute of Science and Technology, Beijing 101601, P. R. China‡School of Safety Engineering, North China Institute of Science and Technology, Beijing 101601, P. R. China)

  • HUAIZHI ZHU

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

  • MINGXING LIU

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

  • YONGHUI LIU

    (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)

Abstract

A novel gas diffusivity model for dry porous media with a damaged tree-like branching network is proposed by using the fractal theory in this study. We systematically investigated the effects of the number of damaged channels and the other structural parameters on the dimensionless gas diffusivity (DGD) and concentration drop. As the number of damaged channels increases, the DGD presents a decreasing trend, while the ratio of concentration drop shows a rising tendency. Meanwhile, the DGD is negatively correlated to the length exponent, the total number of branching levels, and the branching angle, respectively. On the other hand, the DGD is positively correlated with the diameter exponent. Besides, the ratio of concentration drop is negatively correlated with the length exponent and the total number of branching levels. However, it is positively associated with the diameter exponent and branching levels. In addition, during the calculation of the value of concentration drop, the total concentration drop can be disassembled into two equal-ratio sequences. And the scale factors in sequences are constants that are independent of the number of damaged channels. The reliability of the model predictions was verified by a comparison with the experimental data available in the literature. The physical mechanism of gas diffusion in the damaged network may be well explained by the proposed model.

Suggested Citation

  • Boqi Xiao & Peilong Wang & Jinsui Wu & Huaizhi Zhu & Mingxing Liu & Yonghui Liu & Gongbo Long, 2022. "A Novel Fractal Model For Gas Diffusion Coefficient In Dry Porous Media Embedded With A Damaged Tree-Like Branching Network," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-15, November.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:07:n:s0218348x2250150x
    DOI: 10.1142/S0218348X2250150X
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    Cited by:

    1. Lei Lan & Jiaqi Zhou & Wanrong Xu & Gongbo Long & Boqi Xiao & Guanshui Xu, 2023. "A Boundary-Element Analysis of Crack Problems in Multilayered Elastic Media: A Review," Mathematics, MDPI, vol. 11(19), pages 1-24, September.

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