A FRACTAL-MONTE CARLO APPROACH TO SIMULATE KOZENY–CARMAN CONSTANT OF ROUGHENED FIBROUS POROUS MEDIA

Yidan Zhang, Jun Gao, Boqi Xiao, Jiacheng Zhang, Yi Wang, Haoran Hu, An Feng and Gongbo Long
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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

FRACTALS (fractals), 2024, vol. 32, issue 01, 1-13

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.

Keywords: Kozeny–Carman Constant; Fractal; Roughened Fibrous Porous Medium; Micro-Scale Effects; Fractal-Monte Carlo Simulation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X22401132

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