Transport in Mazes; Simple Geometric Representations to Guide the Design of Engineered Systems
Transport in Mazes; Simple Geometric Representations to Guide the Design of Engineered Systems
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DOI：
10.1016/j.ces.2021.117416
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发表时间：
2022-01
影响因子：
4.7
通讯作者：
A. Guo;W. Marshall;Corey C. Woodcock;J. Plawsky
中科院分区：
文献类型：
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作者：
A. Guo;W. Marshall;Corey C. Woodcock;J. Plawsky
尽管工程师可以将材料的内部几何形状控制到微观尺度，但尚不清楚哪种配置对于给定的运输过程来说是理想的。我们探索使用迷宫作为两相系统的抽象表示。可以使用许多不同的算法轻松生成迷宫，然后将其表示为图表以进行分析。推导了有效曲折阻力、平均曲折度和最小切割尺寸这三个无量纲图形参数，然后分别与迷宫的有效传输特性（例如渗透性）、平均停留时间和鲁棒性相关。结果表明，通过调整迷宫算法的设置，可以获得所需的迷宫性能。最后，构建并展示了一个复合迷宫来模拟真实商业膜的几何形状和渗透性。原则上，替代迷宫几何形状可以针对给定的运输过程进行优化/调整，然后用于指导其所代表的工程系统的合理设计。
Although engineers can control the internal geometry of materials down to the micro-scale, it is unclear what configuration is ideal for a given transport process. We explore the use of mazes as abstract representations of two-phase systems. Mazes can be easily generated using many different algorithms and then represented as graphs for analysis. The three, dimensionless graph parameters of effective tortuous resistance, average tortuosity, and minimum-cut-size were derived and then correlated to the maze’s effective transport property (e.g., permeability), average residence time, and robustness, respectively. It was shown that by tuning the settings of the maze algorithm, one can obtain desired maze performance. Finally, a composite maze was constructed and shown to mimic the geometry and permeability of a real commercial membrane. In principle, a surrogate maze geometry can be optimized/tuned for a given transport process and then used to guide the rational design of the engineered system it represents.