Asymptotic forms for jets from standing waves
Asymptotic forms for jets from standing waves
复制标题
驻波射流的渐近形式
DOI：
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发表时间：
2001
影响因子：
3.7
通讯作者：
M. Longuet
中科院分区：
文献类型：
--
作者：
M. Longuet
当重力驻波的高度超过理想周期性的最大值时，会产生尖端尖锐的垂直射流。本文导出了当时间t趋于无穷大时，波峰在极限处出现尖点的标准形。理论剖面在空间坐标系中一般为四次曲线，可以描述从较低的波峰到尖点的平滑过渡。当表面斜率通过45°时，不存在奇点。
Standing gravity waves forced beyond the maximum height for perfect periodicity can produce vertical jets with sharp-pointed tips. In this paper, canonical forms for the wave crests are derived which display sharp cusps in the limit as the time t tends to infinity. The theoretical profile is in general quartic in the space coordinates, and can describe the smooth transition of a fairly low wave crest to a cusped form. There is no singularity as the surface slope passes through 45°.