Capillary Wave-Detection Algorithm Based on Cylindrical Solitary Waves

In multiphase systems the thermodynamic and rheological properties of the interfacial layer have influences on the overall system behavior. The geometrical properties of capillary waves are extremely useful in the characterization of surfaceparameters. In Shmyrov et al 2019, the modified capillary wave technique was successfully used to perform experiments, to register surface profiles and to realize data processing, yet the algorithm for semi-manual data processing proposed by the authors is labor-intensive and time-consuming. It appears that the analysis of the data is compex because of specific geometry problems, presence of noise at different scales, and data gaps. In this study, the algorithm for analysis of a surface instantaneous profiles formed due to capillary waves propogating is proposed. It was found that the noise and the useful signal have different scales. Moreover, the structure of the useful signal is defined, and therefore it becomes possible to study the noise part of the signal and the patterns of the useful signals. On the basis of the preliminary knowledge about the signal structure, the algorithm has been developed to overcome the above mentioned problems. The proposed method has been tested on the set of semi-synthetic data and provides a reliable result.