Author:
Booker John R.,Bretherton Francis P.
Abstract
Internal gravity waves of small amplitude propagate in a Boussinesq inviscid, adiabatic liquid in which the mean horizontal velocity U(z) depends on height z only. If the Richardson number R is everywhere larger than 1/4, the waves are attenuated by a factor $\exp\{-2\pi(R - \frac{1}{4})^{\frac{1}{2}}\}$ as they pass through a critical level at which U is equal to the horizontal phase speed, and momentum is transferred to the mean flow there. This effect is considered in relation to lee waves in the airflow over a mountain, and in relation to transient localized disturbances. It is significant in considering the propagation of gravity waves from the troposphere to the ionosphere, and possibly in transferring horizontal momentum into the deep ocean without substantial mixing.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference18 articles.
1. Lin, C. C. 1955 The Theory of Hydrodynamic Stability .Cambridge University Press.
2. Eckart, C. 1960 Hydrodynamics of Oceans and Atmospheres .Oxford:Pergamon.
3. Case, K. M. 1961 Phys. Fluids 3,149.
4. Scorer, R. S. 1949 Quart. J. Roy. Met. Soc. 75,1.
5. Gerbier, N. & Berenger, M. 1961 Quart. J. Roy. Met. Soc. 87,13.
Cited by
810 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献