Nonlinear rupture theory of a thin liquid film on a cylinder

The dynamic rupture process of a thin liquid film on a cylinder is investigated numerically. First a nonlinear differential equation that describes the long-wave evolution of the interface shape is derived. After the evolution equation is solved and analyzed, the results reveal that a decrease in the cylinder radius will induce a stronger lateral capillary force and consequently will accelerate the rupture process. Moreover, the tendency of acceleration becomes more explicit in the case of large surface tension.