The effect of viscosity and heat conduction on internal gravity waves at a critical level
The effect of viscosity and heat conduction on internal gravity waves at a critical level
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临界水平下粘度和热传导对内部重力波的影响
DOI：
10.1017/s0022112067001752
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发表时间：
1967
影响因子：
3.7
通讯作者：
Philip Hazel
中科院分区：
文献类型：
--
作者：
Philip Hazel
无粘剪切流中重力波垂直速度的微分方程在平均流体速度等于重力波水平相速度的水平面上是奇异的。已经证明，通过这样一层的波的振幅会因依赖于局部理查德森数的常数因子而衰减。本文讨论了包含粘度和热传导的全六阶微分方程（非奇异）的数值求解结果，并发现了相同的衰减因子。在附录中描述了证实该理论某些方面的一些实验。
The differential equation for the vertical velocity of a gravity wave in an inviscid shear flow is singular at a level where the mean fluid velocity is equal to the horizontal phase velocity of the waves. It has been shown that a wave travelling through such a layer has its amplitude attenuated by a constant factor dependent on the local Richardson number. In this paper the results obtained by solving numerically the full sixth order differential equation, which is derived by including viscosity and heat conduction in the problem, (and is not singular) are discussed, and the same attenuation factor is found. Some experiments which confirm certain aspects of the theory are described in an appendix.