This study introduces a simplified model for batch gravitational separation of liquid–liquid dispersions, integrating a decantation model with a high order moment conserving method of classes in population balances (PBM-HMMC). The proposed model incorporates the dynamics of surfactants and their effect on droplet size distribution, emphasizing the crucial influence of surfactants on emulsion stability. Notably, while extensive literature exists on predicting interphases in batch separation with surfactants, the application of population balance methods to predict droplet size distribution evolution is scarcely addressed, which is a primary focus of this work. The model’s accuracy is verified through comparison with independent experimental data, confirming its practical relevance. Furthermore, the research explores the impact of various parameters, including emulsion height, surfactant concentration and type, and droplet size distribution, on the separation process.

中文翻译：

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在存在表面活性剂的情况下对具有群体平衡的间歇系统中的油/水乳液分离进行建模


本研究引入了液-液分散体批量重力分离的简化模型，将倾析模型与群体平衡中类的高阶矩守恒方法（PBM-HMMC）相结合。所提出的模型结合了表面活性剂的动力学及其对液滴尺寸分布的影响，强调了表面活性剂对乳液稳定性的关键影响。值得注意的是，虽然存在大量关于预测表面活性剂批次分离中的界面的文献，但很少涉及应用群体平衡方法来预测液滴尺寸分布演变，而这是这项工作的主要焦点。通过与独立实验数据的比较验证了模型的准确性，证实了其实际意义。此外，该研究还探讨了各种参数（包括乳液高度、表面活性剂浓度和类型以及液滴尺寸分布）对分离过程的影响。