论文标题
基于化学传导的砖和砂浆模型中的曲折性
Tortuosity in the Brick and Mortar Model Based on Chemical Conduction
论文作者
论文摘要
扩散是许多领域的重复现象，受到发生的几何形状的影响。在这里，我们研究了几何学对砖和砂浆模型系统扩散的影响。曲折效应是根据通用的Fick定律进行评估的，即由化学势差异驱动的扩散。提出的形式主义使用不可渗透的砖块为曲折的曲折性提供了一般的（半）精确的分析表达，该砖可以按照标准技术和有限元方法的结果成功验证。该方法允许迫击炮的各向异性特性，我们表明这可能很重要，并且不会被已知的分析技术捕获。基于引入的化学电导率概念，我们还发现，从其组成部分角度来看，普遍的Fick定律与欧姆和傅立叶定律一致，这进一步使砖和砂浆结构直接适用于电荷，热量或质量的扩散。
Diffusion is a reoccurring phenomena in many fields and is affected by the geometry in which it takes place. Here we investigate the effects of geometry on diffusion in a Brick and Mortar model system. The tortuous effects are evaluated based on generalized Fick's law, i.e. diffusion driven by differences in chemical potential. The presented formalism gives a general (semi-)exact analytic expression for the tortuosity using impermeable Bricks, which is successfully validated against standard techniques and finite element method results. The approach allows for anisotropic properties of the Mortar, which we show can be significant and is not captured with known analytic techniques. Based on the introduced concept of chemical conductivity we also find generalized Fick's law consistent with Ohm's and Fourier's law in terms of their constituent parts, which further makes the main results for brick and mortar structures directly applicable to diffusion of either charge, heat, or mass.
