On Free Surface Oscillations of a Liquid Partially Filling a Rotating Cylinder : lst Report, Visualization of Resonant Mode and Analysis by Inviscid Theory

抄録

Free surface oscillations of a liquid partially filling a rotating cylinder which are called centrifugal waves are investigated both analytically and experimentally. In this report, general properties of centrifugal waves are analyzed under the assumption that the equilibrium state of the motion is a rigid-body rotation. First, phase velocity and eigen modes are analyzed on basis of inviscid theory, the results being confirmed by the resonant mode visualization. Second, resonant amplitudes of free surface elevation when the rotating cylinder is forced to move sinusoidally in the horizontal direction, are calculated. The results are in good agreement with the experimental ones. Third, the relation between the forcing frequency and the resonant mode is considered.