LIQUID OSCILLATIONS IN A SPHERICAL SYSTEM WITH SLIDING EDGES BOUNDED BY 2 CONICAL SOLID SURFACES IN ZERO-GRAVITY

摘要

The natural frequencies and damped natural frequencies of an annular spherical liquid system bounded by two conical solid surfaces have been 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 semi-spherical 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 exhibits also a domain where only aperiodic motion is possible. [References: 33]