Progressive waves of permanent form in continuously stratified fluids
Progressive waves of permanent form in continuously stratified fluids
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连续分层流体中永久形式的行进波
DOI：
10.1063/1.1694923
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发表时间：
1974
影响因子：
4.6
通讯作者：
C. Yih
中科院分区：
文献类型：
--
作者：
C. Yih
提出了任意连续分层流体中永久形式的内部行进波的理论，并对指数分层流体进行了流量和波速的计算。该计算得出的最重要的结论（对于其他弱分层也有效）是，只要密度梯度较弱且波长不太短，波速总是随振幅而减小。这个结论很重要，因为它意味着弱分层流体中是否存在孤立波。还讨论了 Boussinesq 近似的有效性以及众所周知的精确线性情况的意义。
A theory for internal progressive waves of permanent form in any continuously stratified fluid is presented, and a calculation for the flow and the wave velocity is carried out for an exponential stratified fluid. The most important conclusion from this calculation, also valid for other weak stratifications, is that the wave velocity always decreases with the amplitude, provided the density gradient is weak and the wavelength is not too short. This conclusion is significant because it entails the existence or nonexistence of solitary waves in weakly stratified fluids. The validity of the Boussinesq approximation and the significance of the well‐known exactly linear cases are also discussed.