Predicting Interfacial Tension via the Entrainment Master Curve of a Bubble Rising through the Immiscible Liquids Interface

Liquid-liquid interfacial tension is an important parameter in gas-liquid-liquid multiphase flows. Here, bubble passage through an immiscible liquids interface was used for determining the interfacial tension. The method is based on measuring the volume of the heavy liquid entrained into the light one. Two different semi-empirical models were developed for determining the entrainment ratio. The results are in good agreement with experiments covering a wide range of physical properties of the liquids. Each model is extended to build a master curve that can be used for predicting the interfacial tension. The models and master curves are obtained based on experimental data for gas-phase motion through the interface between immiscible liquids, which makes the modeling results more reliable for gas-liquid-liquid systems.