Elastic film modelling and experimental research of the first-order vibration frequencies of sessile micro-droplets

Abstract

Abstract Many factors are known to affect the vibration characteristics of sessile micro-droplets, such as surface tension, liquid densities, and contact angles. In this study, the vibration signals of the sessile micro-droplets under the conditions of different contact angles and viscosities were obtained using experimental processes. A theoretical model was designed based on the experimental phenomena in which the contact angles and contact lines were fixed. Then, similar to the vibrations of solid elastic film, it was assumed that the vibration waves of the sessile droplets existed within a certain thickness of the droplet surfaces, which provided a theoretical basis for the periodic correction coefficients. It was found that although the model was simple, it was in good agreement with the experimental results.