Abstract
The process of internal gravity wave generation by the simple harmonic flow (U=U0, cos ω0t) of a stably stratified fluid (Brunt–Väisälä frequencyN) over an obstacle is investigated in some detail. Attention is primarily directed to the behaviour of the solution in various limiting cases, and to estimating the flux of energy into the internal wave field. In general, waves are generated not only at the fundamental frequency ω0, but also at all of its harmonics. But, for values of ω0/Ngreater than about one half, the waves of fundamental frequency are dominant. For values of ω0/N, less than about one half, the quasi-static approximation, in which the problem is considered as a slowly-varying version of the classical lee wave problem, is found to provide a viable estimate for the wave field. The general solution is found to compare favourably with the limited available experimental data.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference25 articles.
1. Cox, C. & Sandstrom, H. 1962 Coupling of internal and surface waves in water of variable depth.J. Ocean. Soc. Japan,20,499–513.
2. Lighthill, M. J. 1967 On waves generated in dispersive systems by travelling forcing effects, with applications to the dynamics of rotating fluids.J. Fluid Mech.,27,725–752.
3. Zeytounian, R. Kh. 1969a Phénomènes d'ondes dans les écoulements stationnaires d'un fluide stratifié non visqueux: I. Modéles théoriques.J. Mécanique,8,239–263.
4. Rattray, M. , Dworski, J. & Kovala, P. 1969 Generation of long internal waves a t the continental slope.Deep-Sea Res. (Suppl.),16,179–195.
5. Hurley, D. G. 1969 The emission of internal waves by vibrating cylinders.J. Fluid Mech.
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