Note on a solitary wave in a slowly varying channel
Note on a solitary wave in a slowly varying channel
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注意缓慢变化通道中的孤立波
DOI：
10.1017/s0022112077001578
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发表时间：
1977
影响因子：
3.7
通讯作者：
J. Miles
中科院分区：
文献类型：
--
作者：
J. Miles
Johnson (1973) 对深度缓慢变化的水中的孤立波的描述被扩展到宽度和深度 b 和 d 缓慢变化的通道，假设 b 和 d 的变化规模比 d5/2a3/2 更大。根据能量守恒定律，波的振幅与 $b^{-\frac{2}{3}}d^{-1}$ 成正比（参见格林定律 $a\propto b^{-\frac{1}{2}}d^{-\frac{1}{4}}$ 对于小振幅的长波）。与实验（Perroud 1957）的比较对于恒定深度的线性会聚通道产生了相当令人满意的一致性。线性发散通道的一致性并不令人满意，但实验数据不足以支持任何确定的结论。
Johnson's (1973) description of a solitary wave in water of slowly varying depth is extended to a channel of slowly varying breadth and depth b and d on the assumption that the scale for the variation of b and d is large compared with d5/2a3/2. It is inferred from conservation of energy that the amplitude of the wave is proportional to $b^{-\frac{2}{3}}d^{-1}$ (cf. Green's law $a\propto b^{-\frac{1}{2}}d^{-\frac{1}{4}}$ for long waves of small amplitude). Comparison with experiment (Perroud 1957) yields fairly satisfactory agreement for a linearly converging channel of constant depth. The agreement for a linearly diverging channel is not satisfactory, but the experimental data are inadequate to support any firm conclusion.