Skip to main content
Log in

Surface perturbations generated by a stratified flow of finite depth over obstacles

  • Marine Physics
  • Published:
Oceanology Aims and scope

Abstract

We studied the structure of the surface perturbations generated by a stratified flow of an ideal fluid of finite depth around underwater obstacles. We consider a cylinder modeled by a point dipole localized near the density interface both above and below the interface. It is shown that density jumps characteristic of the marine medium significantly influence the formation and variability of the structure of the surface perturbations generated during a fluid’s flowing around an underwater obstacle. The results are compared with the data of the previous model calculations made by the authors for an infinite flow around an obstacle [4]. Significant differences between them are revealed, which should be taken into account in the solution of practical problems, for example, monitoring of coastal marine basins.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. V. Bakhanov, Yu. N. Goryachkin, N. N. Korchagin, and I. A. Repina, “Local Effects of the Depth Processes at the Sea Surface and Water Layer of Atmosphere,” Doklady RAN 414(1), 111–115 (2007).

    Google Scholar 

  2. I. Yu. Vladimirov, N. N. Korchagin, and A. S. Savin, “Surface Effects in the Flow around Obstacles in Inhomogeneously Stratified Environment,” Doklady RAN 440(6), 826–829 (2011).

    Google Scholar 

  3. I. Yu. Vladimirov, N. N. Korchagin, and A. S. Savin, “Modeling of Obstacle Flow in the Stream with Free Frontier,” Vestnik MGTU, Special issue, 119–140 (2011).

  4. I. Yu. Vladimirov, N. N. Korchagin, A. S. Savin, and E. O. Savina, “Obstacle Flow by Stratified Flow with Free Frontier,” Okeanologiya 51(6), 974–983 (2011).

    Google Scholar 

  5. S. I. Gorlov, “Hydrodynamic Parameters of Vortex Generator with Translation in Multilayer Heavy Liquid,” Prikladnaya Mekhanika i Tekhnicheskaya Fizika 41(5), 140–147 (2000).

    Google Scholar 

  6. N. N. Korchagin and N. A. Rimskii-Korsakov, “Study of Evolution of Hydrodynamic Disturbances Caused by Natural and Artificial Sources in the Water Column and Their Effect on the Sea Surface and in Near-Water Atmospheric Layer,” in A Report of NIR FORPIK-IORAN (IO RAN, Moscow, 2005–2006) [in Russian].

    Google Scholar 

  7. N. N. Korchagin, A. S. Savin, and E. O. Savina, “The Waves on the Sea Surface Caused by Flow around an Underwater Obstacle,” Okeanologiya 49(3), 348–354 (2009).

    Google Scholar 

  8. J. Lighthill, Waves in Fluids (Mir, Moscow, 1981) [in Russian].

    Google Scholar 

  9. L. G. Loitsyanskii, Mechanics of Fluid and Gas, 3d ed. (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  10. Methods, Procedures and Means of Aerospace Computer Radiotomography of Surface Areas of the Earth, Ed. by S. V. Nesterov (Nauchnyi Mir, Moscow, 1996) [in Russian].

    Google Scholar 

  11. Yu. A. Stepanyants, I. V. Sturova, and E. V. Teodorovich, “Linear Theory of Generation of the Surface and External Waves,” Itogi Nauki i Tekhniki 21, 93–179 (1987).

    Google Scholar 

  12. I. V. Sturova, Plane Problem of the Flow around a Circular Cylinder with Uniform Flow Two-Layer Fluid of the Final Depth,” Prikl. Mekh. Tekh. Fiz. 39(6), 91–101 (1998).

    Google Scholar 

  13. S. I. Filippov, Doctoral Dissertation in Physics and Mathematics (Kazan State Univ., Kazan, 2003).

    Google Scholar 

  14. J. V. Wehausen and E. V. Laitone, “Surface Waves,” in Handbuch der Physik (Springer Verlag, Berlin, 1960), Vol. 9, pp. 446–778.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Yu. Vladimirov.

Additional information

Original Russian Text © I.Yu. Vladimirov, N.N. Korchagin, A.S. Savin, 2012, published in Okeanologiya, 2012, Vol. 52, No. 6, pp. 825–835.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vladimirov, I.Y., Korchagin, N.N. & Savin, A.S. Surface perturbations generated by a stratified flow of finite depth over obstacles. Oceanology 52, 760–770 (2012). https://doi.org/10.1134/S000143701206015X

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000143701206015X

Keywords

Navigation