Thiele moduli and effectiveness factors are powerful ways to factor for diffusion limitations in heterogeneously catalyzed reactions. They have been developed for different rate laws, different geometries, as well as non-isothermal reactions. A recent study [B. Peters, ACS Catal., 2020, 10, 4319–4325] reported new ‘secondary effectiveness factors’ for a series of catalytic reactions A → B → C in a slab geometry. This paper generalizes the secondary effectiveness factors to spherical and cylindrical geometries. We illustrate their use for a batch slurry reactor with catalyst particles of different geometry. For molecular sieves, we show how partition coefficients between the solution and the catalyst particle can enhance the selectivity to the intermediate B. Finally, we introduce generalized expressions for the concentration of B and the ‘secondary’ effectiveness factor for different geometries.

中文翻译：

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串联催化反应的次要效率因素：扩展到平板，圆柱和球形几何形状

Thiele模量和效率因子是在非均相催化反应中限制扩散限制的有效方法。它们针对不同的速率定律，不同的几何形状以及非等温反应而开发。最近的一项研究[B. Peters，ACS Catal。，2020，10，4319-4325]报道新的“次级效力因素”为一系列催化反应的甲→乙→ Ç在平板几何中。本文将次要影响因素概括为球形和圆柱形几何形状。我们说明了它们在具有不同几何形状的催化剂颗粒的间歇式淤浆反应器中的用途。对于分子筛，我们展示了溶液和催化剂颗粒之间的分配系数如何提高对中间体B的选择性。最后，我们介绍了B的浓度和不同几何形状的“次级”有效因子的广义表达式。