The CFD–PBM coupled model was utilized to investigate the liquid–liquid turbulent mixing and enhancement performance in a Lightnin static mixer (LSM). The droplet size distribution (DSD), Sauter mean diameter (d₃₂), and mixing index of the LSM were studied. The effects of the length–diameter ratio (l/D₀), gap-diameter ratio (G/D₀), and arrangement were analyzed. The correlation among d₃₂/D₀, the Fanning friction factor (f), and the Weber number was established. The d₃₂ and Poiseuille number calculated from simulation were in good agreement with experiments, and the d₃₂ decreased by 93.52%. Meanwhile, the analysis of turbulent higher-order moments of DSD showed that the DSD in the L–R LSM with l/D₀ = 1 was narrower than that in other static mixers. Gray relational analysis revealed that the addition of gaps in the LSM can improve distribution mixing performance with a lower pressure drop. The L–R LSM with l/D₀ = 1 and G/D₀ = 1 is recommended based on the enhancement factor and gray analysis.

中文翻译：

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Lightnin 静态混合器中液滴粒径分布和湍流混合增强性能的研究


利用 CFD-PBM 耦合模型研究了 Lightnin 静态混合器 （LSM） 中的液-液湍流混合和增强性能。研究了 LSM 的液滴粒径分布 （DSD） 、Sauter 平均直径 （d₃₂） 和混合指数。分析了长径比 （l/D₀）、间隙直径比 （G/D₀） 和排列的影响。建立了 d₃₂/D₀、范宁摩擦系数 （f） 和 Weber 数之间的相关性。模拟计算的 d₃₂ 和泊西叶数与实验吻合较好，d₃₂ 降低了 93.52%。同时，对 DSD 湍流高阶矩的分析表明，l/D₀ = 1 的 L-R LSM 中的 DSD 比其他静态混合器中的DSD窄。Gray 关系分析表明，在 LSM 中添加间隙可以提高分布混合性能，同时降低压降。根据增强因子和灰度分析，建议使用 l/D₀ = 1 且 G/D₀ = 1 的 L-R LSM。