Skip to main content
SpringerLink
Log in

Waves on the Surface of an Ideal Incompressible Heavy Fluid under Wind Loads

  • Published:
Moscow University Mechanics Bulletin Aims and scope

Abstract

The gravity-forced motion of an ideal incompressible fluid of infinite depth is studied when a periodic pressure is applied to the surface of the fluid. This problem is solved on the basis of the small amplitude wave theory. The analytical solutions for the velocity potential, the velocity field, and the shape of the free surface are found. An expression for the horizontal force is obtained in the case of a traveling wave.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. V. Prokof'ev, A. K. Takmazyan,and E. V. Filatov, "Testing and Calculations of the Motion of a Model Ship with a Direct-Flow Wave Propulsor," Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 24–38 (2017) [Fluid Dyn. 52 (4),481–494 (2017)].

    MATH  Google Scholar 

  2. V. G. Chikarenko, “Comparing the Efficiency of Rectangular and Triangular Submarine Sails,” Vestn. Mosk. Univ., Ser. 1: Mat. Mekh., No. 3, 32–35 (2012) [Moscow Univ. Mech. Bull. 67 (3), 62–65 (2012)].

    Google Scholar 

  3. V. V. Prokof'ev, A. K. Takmazyari, E. V. Filatov, et al, A Wave Propulsion Ship, RF Patent No. 2528449 (2014).

    Google Scholar 

  4. V. A. Belyaev, D. S. Kuznetsov, and S. D. Chizhiumov, “Projects of Flipper Propulsion Systems,” in Proc, Int. Forum of Students and Young Scientists, Vladivostok, Russia, May 14–17, 2012 (Far Eastern Federal Univ., Vladivostok, 2012), Part 1, pp. 885–887.

    Google Scholar 

  5. L. N. Sreteriskii, Theory of Wave Motions of Fluid (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  6. J. J. Stocker, Water Waves, The Mathematical Theory with Applications (Interscience PubL, New York, 1957).

    Google Scholar 

  7. H. Lamb, "On Deep Water Waves," Proc. London Math. Soc. 2 (1), 371–400 (1905).

    Article  MathSciNet  MATH  Google Scholar 

  8. F. D. Gakhov, Boundary Value Problems (Nauka, Moscow, 1977; Dover, New York, 1990).

    MATH  Google Scholar 

  9. L. I. Sedov, Mechanics of Continuous Media (Nauka, Moscow, 1973; World Scientific, Singapore, 1997).

    Google Scholar 

  10. N. E. Kochin, I. A. Kibel', and N. V. Roze, Theoretical Hydromechanics (Fizmatgiz, Moscow, 1963; Wiley, New York, 1964).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    A. V. Zvyagin & K. V. Sapunov

Authors
  1. A. V. Zvyagin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. V. Sapunov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Zvyagin.

Additional information

Original Russian Text © A. V. Zvyagin. K. V. Sapunov. 2018. published, in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika, 2018, Vol 73, No. 3, pp. 50–56.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zvyagin, A.V., Sapunov, K.V. Waves on the Surface of an Ideal Incompressible Heavy Fluid under Wind Loads. Moscow Univ. Mech. Bull. 73, 67–72 (2018). https://doi.org/10.3103/S0027133018320032

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027133018320032

Search

Navigation