The incorporation model is a widely applied micromixing model for the interpretation of micromixing experiments conducted by the Villermaux–Dushman test reaction. In this work, a deeper look into the model is taken and a modified incorporation model is proposed which leads to more reasonable results with respect for the time for equalization of concentration gradients, which corresponds to a micromixed state. The original definition of the micromixing time, t_m, is revised and two characteristic times are introduced which can be deduced from the modified incorporation model. First, the time in which the acid–base and Dushman reaction are completed, t_R, and the time until a complete equalization of concentration gradients is reached, t_E, which corresponds to the actual micromixing time. In addition, an instruction to easily revise historical micromixing time calculations from the original incorporation model is given and provided in GitHub. From the incorporation model, concentration ranges for the kinetic investigation of the Dushman reaction relevant to mixing studies were extracted and are proposed for future kinetic studies of the Dushman reaction. The MatLab codes for implementing the incorporation model are published for further scientific exchange.

掺入模型是一种广泛应用的微混合模型，用于解释由 Vilermaux-Dushman 测试反应进行的微混合实验。在这项工作中，对模型进行了更深入的研究，并提出了一种改进的掺入模型，该模型在浓度梯度的均衡时间方面产生了更合理的结果，这对应于微混合状态。对微混合时间t _m的原始定义进行了修改，并引入了两个特征时间，它们可以从修改后的掺入模型中推导出来。首先，酸碱反应和杜什曼反应完成的时间t _R，以及达到浓度梯度完全平衡的时间 t _E，这对应于实际的微混合时间。此外，在 GitHub 中给出并提供了从原始合并模型中轻松修改历史微混合时间计算的说明。从掺入模型中，提取了与混合研究相关的 Dushman 反应动力学研究的浓度范围，并建议用于 Dushman 反应的未来动力学研究。用于实施合并模型的 MatLab 代码已发布，以供进一步的科学交流。