Numerical analysis of the nonlinear vibration of axisymmetric liquid bridges

The vibration of axisymmetric liquid bridges is analyzed numerically in the framework of the one-dimensional approximation. Nonlinear effects on both the interface deformation and velocity field are studied. The solutions of the Lee, average, and Cosserat models are compared. For the Cosserat model, the results are compared with those obtained from an asymptotic analysis performed in the Plateau-Rayleigh stability limit. In addition, some results concerning the influence of the viscosity on the linear vibrations are reported.