Skip to main content
SpringerLink
Log in

On “vortex breakdown”

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The well-known investigations of vortex breakdown are supplemented with an exact analytic representation of this phenomenon on the basis of the complete Navier-Stokes equations for the case of a potential swirl of the input flow about the axis of symmetry.

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. H. Werlé, “Visualisation en tunnel hydrodynamique,”Rech. Aéronaut., No. 33, 3 (1953).

    Google Scholar 

  2. I. S. Gastshore, “Recent work in swirling incompressible flow,”Nat. Res. Court. Canada, Aeronaut. Rep., LR-343 (1962).

  3. M. G. Hall, “Vortex breakdown,”Ann. Rev. Fluid Mech.,4, 195 (1972).

    Google Scholar 

  4. S. Leibovich, “The structure of vortex breakdown,”Ann. Rev. Fluid Mech.,10, 221 (1978).

    Google Scholar 

  5. S. Leibovich, “Vortex stability and breakdown: survey and extension,”AIAA Journal,22, 1192 (1984).

    Google Scholar 

  6. M. Escuder, “Vortex breakdown: observations and explanations,”Progr. Aerospace Sci.,25, 189 (1988).

    Google Scholar 

  7. R. E. Spall, T. B. Gatski, and R. L. Ash, “The structure and dynamics of bubble-type vortex breakdown,”Proc. Roy. Soc.,A429, No. 1877, 613 (1990).

    Google Scholar 

  8. M. Van Dyke,An Album of Fluid Motion, Parabolic Press, Stanford (1982).

    Google Scholar 

  9. V. N. Trigub, “On vortex filament breakdown,”Prikl. Mol Mekh.,49, 220 (1985).

    Google Scholar 

  10. Vik. V. Sychev, “Asymptotic theory of vortex breakdown,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 78 (1993).

    Google Scholar 

  11. Yu. D. Shmyglevskii, “Swirling flows of ideal and viscous fluids,”Zh. Vychisl. Mat Mat Fiz.,33, 1905 (1993).

    Google Scholar 

  12. Yu. D. Shmyglevskii, “Vortex formations in a viscous fluid,”Zh. Vychisl. Mat. Mat Fiz.,34, 955 (1994).

    Google Scholar 

  13. M. J. M. Hill, “On a spherical vortex,”Brit. Ass. Rep., 696 (1893);Phil Trans.,A185, 213 (1895).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow

    Yu. D. Shmyglevskii

Authors
  1. Yu. D. Shmyglevskii
    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. 167–169, May–June, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shmyglevskii, Y.D. On “vortex breakdown”. Fluid Dyn 30, 477–478 (1995). https://doi.org/10.1007/BF02282463

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02282463

Keywords

Search

Navigation