NATURAL DAMPED FREQUENCIES AND AXIAL RESPONSE OF A ROTATING FINITE VISCOUS-LIQUID COLUMN

For a finite solidly rotating cylindrical liquid column the damped natural axisymmetric frequencies have been determined. The liquid was considered incompressible and viscous. The cases of freely slipping edges and that of anchored edges have been treated. It was found that instability appears in a purely aperiodic root for the spinning liquid bridge. This is in contrast to the instability appearing in the damped oscillatory natural frequency of a nonspinning liquid column at h divided-by a greater-than-or-equal-to 2-pi. The spinning viscous liquid column exhibits the same instability as the frictionless liquid. It appears at h divided-by a greater-than-or-equal-to 2-pi/square-root 1 + We for axisymmetric oscillations.