RESEARCH ON THE EFFECT OF SURFACE ROUGHNESS ON GAS DIFFUSION COEFFICIENT OF POROUS MEDIA EMBEDDED WITH A FRACTAL-LIKE TREE NETWORK

Qian Zheng, Huili Wang and Xiuya Guo
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Qian Zheng: School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, P. R. China†Research Centre of Nonlinear Science, Wuhan Textile University, Wuhan 430073, P. R. China
Huili Wang: School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, P. R. China†Research Centre of Nonlinear Science, Wuhan Textile University, Wuhan 430073, P. R. China
Xiuya Guo: School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, P. R. China†Research Centre of Nonlinear Science, Wuhan Textile University, Wuhan 430073, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-10

Abstract: This work investigates the effect of surface roughness on gas diffusion behavior in the composite, which is composed of porous media embedded with a fractal-like tree network. Based on rough elements of wall surfaces of the tree network of this composite following the fractal scaling law, gas diffusion coefficient is expressed as a function of micro-structural parameters of this composite (such as the relative roughness, the porosity, the diameter ratio, the length ratio, the branching level and the branching angle). It is found that our model is more consistent with available experimental data than empirical correlations. In addition, the influence of the relative roughness and the other micro-structural parameters on gas diffusion has been analyzed. It is believed that the current model could reveal more physical mechanisms than empirical models.

Keywords: Fractal; Gas Diffusion; Roughness; Tree Network (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501954

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