Liquid Oscillations in a Spherical System with Sliding Edges Boundary by TwoConical Solid Surfaces in Zero-Gravity

摘要

The natural frequencies and damped natural frequencies of an annular sphericalliquid system bounded by two conical solid surfaces were determined by considering three cases for the contact line motion. These were the freely slipping contact line, the 'sliding', and the anchored contact line. The analytical results are applied to a semispherical drop, where it was found that the natural frequencies range from those for free slipping to those for anchored edges. The system of viscous liquid also exhibits a domain where only aperiodic motion is possible.