An investigation on internal solitary waves in a two-layer fluid: Propagation and reflection from steep slopes
An investigation on internal solitary waves in a two-layer fluid: Propagation and reflection from steep slopes
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DOI：
10.1016/j.oceaneng.2005.11.020
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发表时间：
2007
影响因子：
5
通讯作者：
Chen-Yuan Chen-Chen-Yuan-Chen-2110213282;J. R. Hsu;M. Cheng;Hsin-Hsun Chen;Ching-Feng Kuo
中科院分区：
文献类型：
--
作者：
Chen-Yuan Chen-Chen-Yuan-Chen-2110213282;J. R. Hsu;M. Cheng;Hsin-Hsun Chen;Ching-Feng Kuo
在具有自由表面的两层流体系统中，对内孤立波（ISW）在光滑均匀斜坡上的传播及其反射进行了实验研究。采用12米长的波浪水槽，其中包括：(1)可移动的垂直闸门，用于产生ISW；(2) 6个用于测量ISW波动的超声探头；(3) θ=30°，50°，60°，90°，120°和130°的均匀斜率比文献中发表的斜率大得多。本文通过与现有Korteweg-de Vries （KdV）理论和改进的Korteweg-de Vries （MKdV）理论的比较，介绍了水槽内记录的ISW波廓线特性及其非线性特征。实验结果表明，KdV理论适用于大多数小振幅isw， MKdV理论适用于各种均匀斜率反射isw。此外，基于振幅的反射系数和反射能量分别与斜率和特征长度比绘制时，都渐近于一个常数值。根据实验数据计算出的反射波振幅与其他地方的报道吻合得很好。在30°陡法向坡至130°倒角范围内的试验中，最佳反射系数在波幅范围内为0.85，垂直壁面上ISW产生的反射波能量在0.75左右。
Experimental investigations on internal solitary wave (ISW) propagation and their reflection from a smooth uniform slope were conducted in a two-layered fluid system with a free surface. A 12-meter-long wave flume was in use which incorporated with: (1) a movable vertical gate for generating ISW; (2) six ultrasonic probes for measuring the fluctuation of an ISW; and (3) a steep uniform slope (from one of θ=30°, 50°, 60°, 90°, 120° and 130°) much greater than those ever published in the literature. This paper presents the wave profile properties of the ISW recorded in the flume and their nonlinear features in comparison with the existing Korteweg de Vries (KdV) and modified Korteweg-de Vries (MKdV) theories. Experimental results show that the KdV theory is suitable for most small-amplituded ISWs and MKdV theory is appropriate for the reflected ISWs from various uniform slopes. In addition, both the amplitude-based reflection coefficient and reflected energy approach a constant value asymptotically when plotted against the slope and the characteristic length ratio, respectively. The reflected wave amplitudes calculated from experimental data agree well with those reported elsewhere. The optimum reflection coefficient is found within the limit of 0.85 for wave amplitude, among the test runs from steep normal slope of 30° to inverse angle of 130°, and around 0.75 for the reflected wave energy, produced by an ISW on a vertical wall.