The study of Plateau–Rayleigh instability with DPD

Abstract

In this paper, the Plateau–Rayleigh (PR) instability that occurs in the two-phase fluids is numerically investigated with dissipative particle dynamics (DPD) method at the mesoscale particle level. For modeling two-phase fluid, the “color” repulsion model is applied to depict binary fluids according to Rothman–Keller method. The present DPD simulation can reproduce the dynamics behaviors of PR instability. Moreover, we research the influence of the ratio of width and length of the liquid column on the PR instability. The results show that the number of droplets formed due to the PR instability increases as the ratio decreases, which is linear relationship within a certain range. Furthermore, some small-scale characteristics, which are difficult to be captured in macroscopic numerical simulation, can be observed by the DPD simulation.