Abstract

The dynamical response of an axisymmetric liquid bridge to small-magnitude perturbations is studied in the framework of the Cosserat model. A numerical procedure to deal with this problem is proposed. The method is found to provide very accurate results from a comparison with the analytical predictions for the cylindrical configuration. The frequencies and damping rates characterizing the oscillation modes are obtained numerically for arbitrary axisymmetric liquid bridge shapes, considering the combined effects of residual gravity, the liquid bridge rotation, the inequality of the disks, and the liquid bridge volume. The results are compared with the predictions obtained from the three-dimensional model for inviscid liquid bridges.

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