Skip to main content
SpringerLink
Log in

Solution of linear problems of the uniform motion of a vortex source in a multilayer fluid

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A method of solving linear problems of the uniform motion of a vortex source in a multilayer fluid having an arbitrary finite number of layers is proposed. As an example, the problem of the motion of a vortex source of given intensity in a three-layer fluid is solved. Formulas for the complex velocities and hydrodynamic reactions are obtained.

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. Yu. A. Stepanyants, I. V. Sturova, and E. V. Teodorovich,Linear Theory of the Generation of Surface and Internal Waves [in Russian], in:Itogi Nauki Tekh., Mekh. Zhidk. Gaza, Vol. 21, VINITI, Moscow (1987), p. 92.

    Google Scholar 

  2. N. E. Kochin, “Wave drag and lift force of bodies submerged in a fluid,” in:Collected Works, Vol.2 [in Russian], USSR Academy of Sciences, Moscow-Leningrad, p. 105.

  3. A. N. Tikhonov, “Plane problem of the motion of an airfoil beneath the free surface of a heavy fluid of finite depth,”Izv. Akad. Nauk SSSR, OTN, No. 4, 57 (1940).

    Google Scholar 

  4. M. D. Khaskind, “Translational motion of bodies beneath the free surface of a heavy fluid of finite depth,”Prikl. Mat. Mekh.,9, 67 (1945).

    Google Scholar 

  5. V. S. Voitsenya, “Plane problem of translational motion of a body beneath the interface between two fluids,”Transactions of the Novocherkask. Politekh. Inst., No. 104, 95 (1959).

    Google Scholar 

  6. V. S. Voitsenya, “Translational motion above the interface between two fluids,”Izv. Vuzov, Mat, No. 2, 20 (1963).

    Google Scholar 

  7. N. E. Kochin, I. A. Kibel', and N. V. Roze,Theoretical Hydromechanics, Vol. 1. [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  8. M. A. Basin and V. P. Shadrin,Hydroaerodynamics of an Airfoil in the Neighborhood of an Interface [in Russian], Sudostroenie, Leningrad (1980).

    Google Scholar 

  9. I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series and Products, Academic Press, New York (1965).

    Google Scholar 

  10. V. A. Tselischev, “Derivation of an integral equation for the boundary value problem of the motion of a slender airfoil in a channel of finite depth,” in:Hydrodynamics of an Underwater Wing [in Russian] Computing Center, USSR Academy of Sciences, Siberian Branch, Novosibirsk (1986), p. 28.88.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Omsk

    S. I. Gorlov

Authors
  1. S. I. Gorlov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 127–132, May–June, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorlov, S.I. Solution of linear problems of the uniform motion of a vortex source in a multilayer fluid. Fluid Dyn 30, 441–446 (1995). https://doi.org/10.1007/BF02282457

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02282457

Keywords

Search

Navigation