Liquid droplet oscillations on a vibrating substrate*

We study the oscillations of liquid droplets on substrates in macroscopic scale using Many-body Dissipative Particle Dynamics (MDPD). In this study, we focus on the harmonic droplet oscillations which are induced by sinusoidal forcing from horizonal substrate vibrations in one-dimension. Our investigation examines the topological changes of the droplet in various sizes and oscillation modes, considering different vibration frequencies and amplitudes. We also explore the role of the droplet's natural oscillation mode. Additionally, we demonstrate the effect of surface wettability on droplet oscillations, ranging from hydrophilic to superhydrophobic surfaces, by parametrically tuning the equilibrium contact angles. Our MDPD simulations are compared with experimental literature results. This approach aims to optimize systems involving droplet movement driven by vibrating substrates.