Vertical jets from standing waves
Vertical jets from standing waves
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DOI：
10.1098/rspa.2000.0678
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发表时间：
2001-02
期刊：
影响因子：
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通讯作者：
M. Longuet-Higgins
中科院分区：
文献类型：
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作者：
M. Longuet-Higgins
当浅水波浪遇到陡峭的悬崖或港口墙壁时，射流有时会以非常高的初始加速度向上抛出。在目前的工作中，它表明，类似的现象可以发生在深水驻波，提供的初始形状的槽是狭窄的，几乎是一个圆弧。在海槽崩溃期间，发现垂直加速度超过10 g，随后的垂直速度超过1.7 c，其中c是小振幅前进波的相速度。垂直加速度，绘制为时间的函数，示出是非常敏感的初始形状的波谷。叠加在初始波形上的短得多的波的存在可以进一步增加最大加速度和速度。
When a shallow‐water wave meets a steep cliff or harbour wall, a jet is sometimes thrown upwards with very high initial acceleration. In the present work it is shown that a similar phenomenon can occur in a standing wave in deep water, provided that the initial shape of the trough is narrow and an almost circular arc. During collapse of the trough, vertical accelerations exceeding 10g are found, with subsequent vertical velocities exceeding 1.7c, where c is the phase‐speed of a small‐amplitude progressive wave. The vertical acceleration, plotted as a function of the time, is shown to be very sensitive to the initial shape of the wave trough. The presence of a much shorter wave superposed on the initial wave profile can further increase the maximum acceleration and velocity.