A two-scale model for multicomponent gas transport in porous media is developed. At the pore-scale, Stefan–Maxwell formulation is used to describe the multi-gas transport together with the mass and momentum conservation equations, whereas on the solid/fluid interface, a slip velocity according to the Kramers–Kistemaker condition is taken into account. The pore-scale equations are then upscaled using a formal homogenization procedure. The macroscopic model shows that the total average velocity is modified by a slip velocity which depends mostly on the diffusive flux of the light gas in the mixture. Application to hydrogen transport in electrochemical devices such as fuel cell, electrochemical hydrogen purifier/compressor, in which considerable contrast of molar mass between the gases occurs, is carried out. As a result, the gas slip effect can modify considerably the gas transport behavior within the porous medium of the devices. This is an important result because the gas transport mechanisms play a crucial role in their efficiency.

中文翻译：

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包含滑移效应的多孔介质中多组分气体传输的放大模型

开发了多孔介质中多组分气体输运的两尺度模型。在孔隙尺度上，Stefan-Maxwell 公式用于描述多气体输运以及质量和动量守恒方程，而在固体/流体界面上，根据 Kramers-Kistemaker 条件考虑滑移速度. 然后使用正式的均质化程序放大孔隙尺度方程。宏观模型表明，总平均速度受滑移速度的影响，滑移速度主要取决于混合物中轻气体的扩散通量。在诸如燃料电池、电化学氢净化器/压缩机等电化学装置中的氢传输中的应用，在这些装置中，气体之间的摩尔质量发生了相当大的对比。因此，气体滑移效应可以显着改变设备多孔介质内的气体传输行为。这是一个重要的结果，因为气体传输机制对其效率起着至关重要的作用。