A Ternary Phase-Field Model for Separation of Water from a Water/Oil Mixed Drop Using Lamb Waves

In this work, we propose a ternary phase-field model for separation of water from a water/oil mixed drop using Lamb waves. In this model, we describe a Cahn–Hilliard/Navier–Stokes model for the simulation of incompressible flows composed of three immiscible components, where surface tension, gravity, and the acoustic streaming force of Lamb waves act on a water/oil mixed drop are taken into account through volumic forces. To test the present model, we further conduct separation experiments of oil–water mixtures driven by surface acoustic waves on a non-piezoelectric substrate. The numerical results are in good agreement with the experimental solutions illustrate that present model has the good capability in the study of the separation of water from a water/oil mixed drop using Lamb waves.