| Issue |
E3S Web Conf.
Volume 248, 2021
2021 3rd International Conference on Civil Architecture and Energy Science (CAES 2021)
|
|
|---|---|---|
| Article Number | 01026 | |
| Number of page(s) | 4 | |
| Section | Chemical Performance Structure Research and Environmental Pollution Control | |
| DOI | https://doi.org/10.1051/e3sconf/202124801026 | |
| Published online | 12 April 2021 | |
Mathematical Model for Effective Gas Diffusion Coefficient in Multi-scale Fractal Porous Media
Wuhan Second Ship Design and Research Institute, 430205 Wuhan, China
* Corresponding author: shunli878@163.com
Based on the capillary hypothesis and fractal theory, a mathematical model for calculating the effective gas diffusion coefficient in porous media is established. By using fractal geometry theory, pore area fractal dimension, tortuosity fractal dimension and pore connectivity are introduced to quantitatively characterize the real internal structure in the porous media. An effective gas diffusion coefficient model for the fractal porous media is derived, and the influence of multi-scale porous media microstructure parameters on the effective gas diffusion coefficient is discussed. The results show that effective gas diffusion coefficient approximates to linearly increase with the increase of porosity, the pore area fractal dimension and the effective gas diffusion coefficient is positive correlation, but the tortuosity fractal dimension is negatively related to it. In the case of different porosities, the gas effective diffusion coefficient varies with the change of the pore diameter ratio, the effective gas diffusion coefficient increases with the increase of pore connectivity.
© The Authors, published by EDP Sciences, 2021
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