Stagnation zone formation on the axis of a closed vortex flow


The features of developing a counterflow zone (bubble-mode vortex breakdown or vortex explosion) at the center of an intensively swirled flow produced in a liquid-filled cylindrical container with a rotating endwall have been studied. The observation showed that the scenario of developing a bubble-mode breakdown zone with generation of counterflow is the same for cylinders with low or high aspect ratio, and it remains independent of stationary-nonstationary transition boundary for the main vortex flow.

This is a preview of subscription content, access via your institution.


  1. 1.

    M.P. Escudier, Observations of the flow produced in a cylindrical container by a rotating endwall, Exp. Fluids, 1984, Vol. 2, P. 189–196.

    Article  Google Scholar 

  2. 2.

    J.N. Sorensen, I.V. Naumov, and V.L. Okulov, Multiple helical modes of vortex breakdown, J. Fluid Mech., 2011, Vol. 683, P. 430–441.

    Article  ADS  Google Scholar 

  3. 3.

    I.V. Naumov, V.L. Okulov, and J.N. Sorensen, Diagnostics of spatial structure of vortex multiplets in a swirl flow, Thermophysics and Aeromechanics, 2010, Vol. 17, No. 4, P. 551–558.

    Article  ADS  Google Scholar 

  4. 4.

    D.V. Kulikov, R. Mikkelsen, I.V. Naumov, and V.L. Okulov, Diagnostics of bubble-mode vortex breakdown in swirling flow in a large-aspect-ratio cylinder, Technical Physics Letters, 2014, Vol. 40, No. 2, P. 181–184.

    Article  ADS  Google Scholar 

  5. 5.

    E. Serre and P. Bontoux, Vortex breakdown in a three-dimensional swirling flow, J. Fluid Mech., 2002, Vol. 459, P. 347–370.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. 6.

    J.N. Sorensen, I.V. Naumov, and R. Mikkelsen, Experimental investigation of three-dimensional flow instabilities in a rotating lid-driven cavity, Exp. Fluids, 2006, Vol. 41, No. 3, P. 425–440.

    Article  Google Scholar 

  7. 7.

    V.L. Okulov, I.V. Naumov, and J.N. Sorensen, Optical diagnostics of intermittent flows, Techn. Phys., 2007, Vol. 77, No. 5, P. 583–595.

    Article  ADS  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to I. V. Naumov.

Additional information

Research was financially supported by the Russian Science Foundation (Project No. 14-29-00093).

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Naumov, I.V., Mikkelsen, R.F. & Okulov, V.L. Stagnation zone formation on the axis of a closed vortex flow. Thermophys. Aeromech. 21, 767–770 (2014).

Download citation


  • confined vortex flow
  • nonstationary vortex breakdown
  • counterflow
  • digital tracer visualization