| The understanding of the Plateau-Rayleigh instability (PRI) for fluid masses without axisymmetric is of great importance in the printing technique. In this study, we develop computational simulations based on lattice Boltzmann method to probe the Plateau-Rayleigh instability of rivulet. Our work focuses on rivulets on solid substrates with imposed periodic disturbances. We study the influences of different contact line behavior on the PRI, in particular pinned and free-moving contact line. The results show that pinned contact line hampers the development of PRI. With free-moving contact line, the rivulets with specific perturbations breaks up, while the others recover to the original state. Through changing the wavelength and amplitude of disturbance, we quantitatively probe the perturbation and obtained the fastest growing mode of the PRI. The comparation between the rivulet and the column shows that the growth rate of perturbation has similar trend, but the critical value and the fastest growing wavelength are different. |
