Abstract
The axisymmetric dynamics of an isothermal liquid bridge has been analyzed frequently over the past years. The studies have considered different phenomena such as free oscillations, forced vibrations, g-jitter effects, extensional deformation, and the breakup process, among others. Works considering the nonaxisymmetric dynamical behavior of a liquid bridge have been far less common, probably due to the further difficulties associated with its three-dimensional nature. Based on simple physical arguments, a model is proposed in this paper to describe the linear lateral oscillations of an axisymmetric viscous liquid bridge. The accuracy of the model is established from comparison with the Navier–Stokes equations for zero Capillary number and with experimental measurements for viscous liquid bridges. Good agreement is found in both cases for frequencies smaller than or of the order of the first resonance frequency. Potential applications of the model are discussed.
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