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A Fractal Model For Capillary Flow Through A Single Tortuous Capillary With Roughened Surfaces In Fibrous Porous Media

Author

Listed:
  • BOQI XIAO

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

  • QIWEN HUANG

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

  • HANXIN CHEN

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

  • XUBING CHEN

    (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

In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mass of capillary rise are in satisfying agreement with the existing models reported in the literature. It is found that the imbibition height and imbibition mass of capillary decreases with increasing relative roughness. Besides, it is observed that the equilibrium time in a single tortuous capillary with roughened surfaces decreases with an increase in relative roughness. In addition, it is seen that the imbibition height and imbibition mass of capillary rise increases with imbibition time. With the proposed fractal model, the physical mechanisms of capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media are better elucidated. One advantage of our fractal analytical model is that it contains no empirical constant, which is usually required in previous models.

Suggested Citation

  • Boqi Xiao & Qiwen Huang & Hanxin Chen & Xubing Chen & Gongbo Long, 2021. "A Fractal Model For Capillary Flow Through A Single Tortuous Capillary With Roughened Surfaces In Fibrous Porous Media," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-10, February.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500171
    DOI: 10.1142/S0218348X21500171
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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. 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.
    3. Yang, Shanshan & Wang, Mengying & Zou, Mingqing & Sheng, Qiong & Cui, Ruike & Chen, Shuaiyin, 2023. "Gas transport law in inorganic nanopores considering the influence of cross section shape and roughness," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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