Effective gas diffusion coefficient of fractal porous media with rough surfaces by Monte Carlo simulations

Fractals ◽  
2021 ◽  
Author(s):  
Zuozhuang Yin ◽  
Qian Zheng ◽  
Huili Wang ◽  
Xiuya Guo
Keyword(s):  
Porous Media ◽  
Monte Carlo ◽  
Diffusion Coefficient ◽  
Monte Carlo Simulations ◽  
Rough Surfaces ◽  
Gas Diffusion

GAS DIFFUSION COEFFICIENT OF FRACTAL POROUS MEDIA BY MONTE CARLO SIMULATIONS

Fractals ◽  
2015 ◽  
Vol 23 (02) ◽  
pp. 1550012 ◽  
Author(s):  
QIAN ZHENG ◽  
XIANGPENG LI
Keyword(s):  
Porous Media ◽  
Monte Carlo ◽  
Diffusion Coefficient ◽  
Monte Carlo Simulations ◽  
Pore Size ◽  
Structural Parameters ◽  
Probability Model ◽  
Fractal Dimensions ◽  
Gas Diffusion ◽  
Monte Carlo Simulation Technique

Gas diffusion behavior in fractal porous media is simulated by Monte Carlo technique in this work. Based on the fractal character of pore size in porous media, the probability model of the effective gas diffusion coefficient is derived. The proposed model of the effective gas diffusion coefficient is explicitly expressed as a function of structural parameters of porous media, such as porosity, pore size, the fractal dimensions for pore area and tortuosity. The effect of structural parameters of porous media has been studied in detail. The results show that the present results from the Monte Carlo simulations present a good agreement with those from the available analytical model and the available experimental data. The proposed Monte Carlo simulation technique may have the potential in predictions of other gas transport properties in fractal porous media.

scholarly journals Gas Steady-state Diffusion in Fractal Porous Media

2021 ◽  
Vol 248 ◽  
pp. 01011
Author(s):  
Du Zhehua
Keyword(s):  
Porous Media ◽  
Diffusion Coefficient ◽  
Steady State ◽  
Knudsen Diffusion ◽  
Mean Free Path ◽  
Gas Diffusion ◽  
Diffusion Regime ◽  
State Diffusion ◽  
The Mean ◽  
Steady State Diffusion

Gas diffusion in fractal pores does not follow the classic Fick’s and Knudsen’s laws, so more research on gas diffusion in fractal porous media is needed. Fractal pore models are generated using the random walk method. The gas diffusion governing equations for the fractal pores are derived from the classic kineti theory of gases. The gas diffusion model is used to study the gas diffusion in fractal porous meida and to determine steady-state diffusion coefficient formulas. The results show that the diffusion coefficient is proportional to the mean proe diameter, porosity, and the exponetial function of the fractal dimension in the Knudsen diffusion regime. The diffusion coefficient is not only related to the three pore parameters but is also related to the molecular mean free path in the configurational diffusion regime.

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