Vertical jets from standing waves. II

Vertical jets from standing waves. II
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驻波垂直射流。

DOI:
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发表时间:
2001
期刊:
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子:
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通讯作者:
D. Dommermuth
D. Dommermuth
中科院分区:
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文献类型:
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作者:
M. Longuet;D. Dommermuth

文献摘要

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相似文献

之前的一篇论文表明,在水面上的陡峭驻波中,波谷中圆形空腔的塌陷会产生相当高的局部垂直加速度,从而引发强大的垂直射流的增长。在此给出的一个示例中,加速度超过 100g。本文的主要目的是通过边界积分时间步进技术来跟踪射流的后续发展。研究发现,射流往往会分成两半,每一半形成一个暴跌或溢出的断路器。这里将上升波谷转变为细射流与渐近流进行比较,其中自由表面由四次方程给出。
In a previous paper it was shown that in steep standing waves on water the collapse of a rounded cavity in the wave trough can produce quite high local vertical accelerations, initiating the growth of a strong vertical jet. In one example given here, the acceleration exceeds 100g. The main purpose of the present paper is to follow the subsequent development of the jet by means of a boundary-integral time-stepping technique. It is found that the jets tend to bifurcate into two halves, each forming a plunging or spilling breaker. The transition of the rising wave trough into a thin jet is here compared with an asymptotic flow in which the free surface is given by a quartic equation.