Re-equilibrium of sessile droplets on vertically vibrating substrates

A dynamic model with a resonant vibration sessile droplet on the substrate was established, and the dynamic behavior of the vibration droplet was analyzed based on the vibration force, friction force, and contact force, including changes in contact angle, contact line, and then derived equations that yielded the spreading velocity and the final equilibrium angle, which will provide new ways to depict the motion of droplet spreading. In addition, the dynamic equation was used to describe the motion of the sessile droplets and to discuss the re-equilibrium state with the vibration process. Finally, we studied droplet dynamic motion by the changing contact angle via force analysis under vertical vibration conditions. The contact angle changed when vibration acted on the sessile droplet, the dynamic re-equilibrium contact angle prediction errors within 10%.