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.
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