Response of a Viscous Liquid Layer around a Center-Core Axial Excitation in Zero-Gravity

摘要

The response of a viscous liquid layer around a center core to axial excitationis determined analytically. For a simplified analytical treatment the no slip condition at the top and the bottom of the liquid column had to be abandoned while the normal condition could be satisfied. The free liquid surface elevation and the radial and axial velocity distributions are presented for various surface tension parameters, aspect ratios, and at various locations inside and along the liquid bridge as function of the forcing frequency parameter. It could be noticed that due to viscosity the resonance amplitudes are finite and that the lowest resonance is sharply tuned.