Abstract A simplified population balance model has been developed to predict the Sauter mean diameter, and to optimize any breakage and coalescence kernel. Firstly, the shortcut model is detailed, and the simplifying assumptions are argued. Then the model is applied in a comparison of 60 combinations of a selection of classical breakage, collision frequency and coalescence efficiency kernels. The models are fitted and then compared with an experimental dataset measured in two different technologies of interest for biotechnology: bubble columns (Gemello et al., 2018), and stirred tanks (Cappello et al., 2020). The best kernels are identified for each flow configuration separately, and some kernels are identified as giving acceptable predictions simultaneously of both flows (average error on bubble size less than 20%).

中文翻译：

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评估湍流气泡流中种群平衡核的一方程模型

摘要 已经开发了一种简化的种群平衡模型来预测 Sauter 平均直径，并优化任何断裂和聚结内核。首先，对捷径模型进行了详细说明，并对简化假设进行了论证。然后将该模型应用于选择经典断裂、碰撞频率和聚结效率内核的 60 种组合的比较。对模型进行拟合，然后与在两种不同的生物技术技术中测量的实验数据集进行比较：气泡柱（Gemello 等人，2018 年）和搅拌罐（Cappello 等人，2020 年）。分别为每个流配置确定最佳内核，并且某些内核被确定为同时给出两个流的可接受预测（气泡大小的平均误差小于 20%）。