Abstract Droplet size distribution represents one of the key parameters of emulsification products and emulsification efficiency. While there is a large number of computational fluid dynamics and population balance model (CFD-PBM) simulation for droplet size distribution in various emulsification devices, fitting parameters or empirical correlations were always involved to generate the reasonable simulation. In this study, we applied the Energy-Minimization Multi-scale (EMMS) approach for the liquid-liquid flow in rotor-stator (RS) mixing devices. The so-called mesoscale energy dissipation for droplet breakage was derived to close the population balance equations through a breakage rate corrector. The correction factor was then integrated into the fully-coupled CFD-PBM simulation for a surfactant-free MCT-oil/water system. Compared to the original Alopaeus breakage model or the combination of Alopaeus model and Prince coalescence model, this new model could greatly improve the prediction of droplet size distribution, Sauter mean diameter, median diameter and span of size distribution for both the dilute and the dense systems of dispersed oil phase.

中文翻译：

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转子-定子装置中乳化的中尺度建模。第一部分：基于EMMS概念的人口平衡模型

摘要 液滴粒径分布是影响乳化产品和乳化效率的关键参数之一。虽然有大量的计算流体动力学和种群平衡模型 (CFD-PBM) 模拟各种乳化装置中的液滴尺寸分布，但总是涉及拟合参数或经验相关性来生成合理的模拟。在这项研究中，我们将能量最小化多尺度 (EMMS) 方法应用于转子 - 定子 (RS) 混合装置中的液液流动。通过破碎率校正器推导出了所谓的液滴破碎的中尺度能量耗散以关闭种群平衡方程。然后将校正因子集成到无表面活性剂 MCT-油/水系统的全耦合 CFD-PBM 模拟中。