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Internal waves induced by moving periodic perturbations applied to the surface of a stratified fluid

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Abstract

Investigations of internal wave generation by moving perturbations are of considerable interest for submarine navigation, hydroacoustics, ocean seismology, etc. The main results for perturbations of constant intensity were published in [1–3]. In the present paper we continue the investigations and study moving perturbations whose intensity varies periodically in time. The perturbations are approximated by surface shape variations or an external pressure on the surface. The vertical displacement of the water particles relative to the equilibrium position is obtained in the form of a series in terms of waves modes for a given density stratification. A calculation algorithm and a program for computing each of the wave modes have been compiled. The boundaries of the wave regions and constant-phase lines are constructed and the displacement amplitudes are calculated. It is shown that there are resonance relations between the oscillation frequency and the perturbation velocity for which the displacement for a given mode becomes infinite (in the linear theory).

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References

  1. R. A. Gruntfest and L. V. Cherkesov, “Internal waves in a stratified fluid induced by the motion of a slender body,” in:Abstracts of Proceedings of Sixth All-Union Congress on Theoretical and Applied Mechanics, Tashkent, 24–30 September, 1986 [in Russian], Tashkent (1986).

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Authors
  1. R. A. Gruntfest
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  2. E. V. Filimonova
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Additional information

Rostov-on-Don. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 130–135, July–August, 1994.

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Gruntfest, R.A., Filimonova, E.V. Internal waves induced by moving periodic perturbations applied to the surface of a stratified fluid. Fluid Dyn 29, 544–548 (1994). https://doi.org/10.1007/BF02319076

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  • DOI: https://doi.org/10.1007/BF02319076

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