The present study offers a predictive correlation for oxygen transfer based on the exhaustive analysis of more than 300 isolated gas bubbles and the examination of interfacial colonization phenomena occurring in the presence of surfactants. The correlation is formulated by accounting for two key aspects: the hydrodynamic influence exerted by surfactants on mass transfer and the physico-chemical hindrance caused by surfactant adsorption. While the correlation holds substantial promise for application in wastewater treatment facilities, it has hitherto been exclusively employed for bubbles with an equivalent diameter (db) smaller than 1.5 mm and in systems featuring a singular surfactant species in the liquid phase. With a view to harnessing a model for its integration into wastewater treatment plants, our study endeavors to elucidate the methodology for expanding the applicability of the correlation to bubbles with higher Reynolds numbers (db > 1.5 mm). To this end, the study leverages the work of Sardeing et al. (2006) and demonstrates its effectiveness in scenarios typified by the coexistence of multiple surfactant species, which is representative of common constituents in wastewater treatment plant environments.

中文翻译：

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考虑流体动力学和物理化学现象的表面活性剂溶液中的氧传质建模


本研究基于对 300 多个分离气泡的详尽分析和对表面活性剂存在下发生的界面定植现象的检查，为氧转移提供了预测相关性。相关性是通过考虑两个关键方面来制定的：表面活性剂对传质的流体动力学影响和表面活性剂吸附引起的物理化学障碍。虽然这种相关性在废水处理设施中的应用前景广阔，但迄今为止，它一直专门用于等效直径 （d _b ） 小于 1.5 mm 的气泡以及在液相中具有单一表面活性剂种类的系统中。为了利用模型将其集成到废水处理厂中，我们的研究努力阐明将相关性扩展到具有较高雷诺数 （d _b > 1.5 mm） 的气泡的方法。为此，该研究利用了 Sardeing 等人（2006 年）的工作，并证明了它在多种表面活性剂共存的典型情况下的有效性，这是废水处理厂环境中常见成分的代表。