Viscosity Effects on the Dynamics of Long Axisymmetric Liquid Bridges

Abstract

In this paper the dynamics of axisymmetric liquid columns held by capillary forces between two circular, concentric, solid disks is considered. The problem has been solved by using an one-dimensional model known in the literature as the Cosserat model, which includes viscosity effects, where the axial velocity is considered constant in each section of the liquid bridge. The dynamic response of the bridge to an excitation consisting of a small amplitude vibration of the supporting disks has been solved by linearizing the Cosserat model. It has been assumed that such excitation is harmonic so that the analysis has been performed in the frequency domain and the dependence of the frequency of resonance corresponding to the first oscillation mode on the parameters defining the liquid bridge configuration as well as the axial microgravity level has been calculated for several liquid bridge configurations.