鉛直加振された水平液体層の自由表面に生ずる波の発生限界

概要

論文の詳細を見る
Waves on a free surface of a viscous liquid layer in horizontally infinite extent under a vertically imposed oscillation are investigated theoretically by a linear theory. They are governed by a kind of the ordinary differential equation with periodic coefficients. In the case of the subharmonic responce, the stability boundary, which separates the unstable region from the stable one, are obtained numerically for a given wave number of the disturbance. The curves, which envelops these stability boundaries for the various wave numbers, i. e. the neutral stability curves, are obtained in the frequency-amplitude space. It is found from these neutral stability curves that there is a minimum value in the critical amplitude, above which the disturbance first occurs. While, the neutral stability curves are obtained experimentally by using Glycerine as a viscous liquid. The experimental critical amplitudes are shown to be in good agreement with the theoretical ones.
1983-12-25