Abstract

The resistance model has been employed to derive an expression for the permeability of a composite membrane taking into account the viscous flow of a gas and the porous structure of a membrane support. Mathematical simulation has been used to show that, when the material of a selective layer does not penetrate into the pores of the skin layer of the support, the viscous flow of a gas in the support may noticeably affect the permeability and selectivity of the composite membrane, and the effect is enhanced with a decrease in the effective porosity and an increase in the permeability of the selective layer. It has been found that the influence of the porous structure of the support on the permeability of the composite membrane diminishes with a rise in the effective porosity of the support skin layer and the average pore size. The case in which selective layer material fills the pores of the support to the entire depth of the skin layer has been analyzed in detail. It has been shown that, in this case, the effect of the support on the membrane permeability is governed only by the porosity of the skin layer and the ratio between the thicknesses of the support skin layer and the selective layer.

中文翻译：

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气体的粘性流动和载体的多孔结构对复合膜渗透性的影响

摘要

考虑到气体的粘性流动和膜载体的多孔结构，已经使用阻力模型来得出复合膜渗透率的表达式。数学模拟已用于显示，当选择层的材料不渗透到支撑物的皮肤层的孔中，气体在载体上的粘性流可显着地影响复合膜的渗透性和选择性，并通过减小有效孔隙率和增加选择层的磁导率来增强效果。已经发现，随着载体表皮层的有效孔隙率和平均孔径的增加，载体的多孔结构对复合膜的渗透性的影响减小。已经详细分析了选择性层材料将载体的孔填充到表层的整个深度的情况。已经表明，在这种情况下，载体对膜渗透性的作用仅由表皮层的孔隙率和载体表皮层与选择层的厚度之比决定。