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A Fractal-Monte Carlo Approach To Simulate Kozeny–Carman Constant Of Roughened Fibrous Porous Media

Author

Listed:
  • YIDAN ZHANG

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

  • JUN GAO

    (��School of Mechanical and Electrical Engineering, Wuhan Business University, Wuhan 430056, P. R. China)

  • BOQI XIAO

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China‡Hubei Provincial Key Laboratory of Chemical, Equipment Intensification and Intrinsic Safety, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China§Hubei Provincial Engineering Technology, Research Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • JIACHENG ZHANG

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

  • YI WANG

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

  • HAORAN HU

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

  • AN FENG

    (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

The Kozeny–Carman (KC) equation is a well-known semi-empirical formula, which is used to calculate the permeability of porous media in the seepage field. The KC constant is an empirical constant in the KC equation. In this paper, based on the fractal theory, the Fractal-Monte Carlo technique is used to simulate the KC constant of the roughened fibrous porous media (RFPM) with micro-scale effects. There is no empirical constants in the proposed model, and each parameter has its physical meaning. The KC constant model of RFPM can be expressed as a function of structural parameters, including relative roughness (𠜀), porosity (ϕ), pore area fractal dimension (Df), tortuosity fractal dimension (DT), capillary diameter (λ) and Knudsen number (Kn). The result shows that the KC constant increases with increases in ϕ, 𠜀, Df and DT. On the contrary, with increases in λ and Kn, the KC constant decreases. In addition, the KC constant model constructed in the paper agrees well with the existing experimental data and the model. According to the proposed Fractal-Monte Carlo technique, it is possible to better clarify the transmission physical mechanism in RFPM with micro-scale effects.

Suggested Citation

  • Yidan Zhang & Jun Gao & Boqi Xiao & Jiacheng Zhang & Yi Wang & Haoran Hu & An Feng & Gongbo Long, 2024. "A Fractal-Monte Carlo Approach To Simulate Kozeny–Carman Constant Of Roughened Fibrous Porous Media," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x22401132
    DOI: 10.1142/S0218348X22401132
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