長水路における造波現象について : 周期的吹き出しの速度ポテンシャル

概要

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The velocity potentioal due to a pulsating source, the so-called Green function for periodic oscillation of water, in a rectangular canal is obtained by using a new method. This potential is important, for example, to discuss the effect of the wave reflection by the tank wall when experimenting a ship model in a rectangular tank. The main characteristics of water waves in a canal are that there exist resonant frequencies, and that the system of progressive waves for a frequency consists of a finite number of component waves with different wave lengths. When the ratio of the breadth 2l of the canal and the wave length λ, of the progressive wave due to the pulsating source, for the horizontally unbounded case satisfies 0<2l/λ0.5 the progressive wave becomes a two-dimensional sinusoidal wave with the wave lengthλ. When 0.5<2l/λ, the wave system involves component waves with the wave lengthλ longer than λ. The numerical calculations are conducted, and the examples are shown in §6.
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