Non-linear oscillations of an inviscid liquid column under zero-gravity

Abstract

For a frictionless cylindrical liquid bridge of finite length in zero-gravity the non-linear natural frequencies are determined for large free liquid surface amplitudes. The non-linear boundary conditions have been expanded up to terms of third order. It was found that the system exhibits a softening oscillation behavior, indicating that with increasing wave amplitudes the natural frequencies exhibit decreased magnitude as compared to linear theory. In addition higher modes and shorter liquid bridges show increased softening character.