Numerical solutions to the equation that governs steady-state mass transport to a hexagonal array of small redox-active disks embedded in an otherwise inert rotating disk electrode, RDE, under both diffusion-limited and mixed, first order kinetic control were obtained using COMSOL. Analytical expressions were found, which accurately reproduced the simulations, yielding, for limiting cases, a behavior in agreement with that reported in the literature. This formalism was applied to the analysis of thin films of nanoparticles dispersed in inert high area supports attached to the surface of an inactive RDE. The results obtained made it possible to verify that, at loadings within the range of relevance to electrocatalyic materials for low temperature fuel cells, the use of a modified Koutecky-Levich-like equation for determining rate constants of first order redox processes is indeed warranted.

中文翻译：

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强制对流下微电极阵列的理论分析

使用 COMSOL 获得了在扩散限制和混合一级动力学控制下，稳态质量传输到嵌入在惰性旋转盘​​电极 RDE 中的六边形氧化还原活性圆盘阵列的方程的数值解。找到了分析表达式，它准确地再现了模拟，在极限情况下产生了与文献中报道的行为一致的行为。这种形式被应用于分析分散在惰性高面积载体中的纳米颗粒薄膜，该载体附着在非活性 RDE 的表面。获得的结果可以验证，在与低温燃料电池电催化材料相关的负载范围内，