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Fractal Study on the Effective Diffusion Coefficient of Gases in Rough Porous Media

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Abstract

Since the internal structure of actual porous media has irregularity and complexity and is rough on the surface, it cannot be characterized accurately by traditional theoretical analytical methods. In this paper, the mathematical formalism of the effective diffusion coefficient of gas on rough porous surfaces is established by employing fractal geometry theory, utilizing the rough capillary tube bundle model, and introducing the penetration correction factor. The effective gas diffusion coefficient is investigated as a function relation of the rough porous media structural parameters and gas parameters. The results show that the effective diffusion coefficient of gas is positively correlated to the porosity, maximum pore diameter, and area fractal dimension of porous media and negatively correlated to the relative roughness, tortuous fractal dimension, the molar mass of gas, and gas density. The correctness and reliability of the present model have been confirmed, by the comparative analysis of the model predictive values in this paper and the available experimental data.

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Acknowledgments

This study was supported by the National Natural Science Foundation of China (Grant Nos. 51641606) and the Key Project of Science and Technology Research Program of Hubei Provincial Education Department (Grant No. D20221201).

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Authors and Affiliations

  1. College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, 443002, China

    Xueqi Zhang, Sheng Zheng & Kaicong Xu

  2. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, 443002, China

    Shanshan Yang & Sheng Zheng

  3. College of Science, China Three Gorges University, Yichang, 443002, China

    Shanshan Yang & Sheng Zheng

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  1. Xueqi Zhang
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Zhang, X., Yang, S., Zheng, S. et al. Fractal Study on the Effective Diffusion Coefficient of Gases in Rough Porous Media. J. of Materi Eng and Perform (2023). https://doi.org/10.1007/s11665-023-08731-6

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