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Experiments in Fluids

, 60:178 | Cite as

Experimentally investigating the instability onset in closed polygonal containers

  • Igor V. NaumovEmail author
  • Mikhail Tsoy
  • Bulat Sharifullin
Research Article
  • 51 Downloads

Abstract

The article investigates the instability onset in the vortex flow in the stationary container with a rotating lid and polygonal cross-sections. Transition to unsteady flow regime is determined in closed containers with square, pentagonal and hexagonal cross-sections. The onset of flow unsteadiness is measured by combining the high spatial resolution of PIV and the temporal accuracy of LDA. A detailed transition scenario from steady and axisymmetric flow to unsteady flow with discrete rotational symmetry is investigated for the aspect ratio of 2.5 ≤ h ≤ 6.0. The results show that at steady conditions there are no asymmetric distortions of the flow topology due to the non-axisymmetric effect of the polygonal geometry of the used containers. It is found that reducing the number of cross-section angles shifts the instability onset to smaller aspect ratios and the vortex breakdown bubble stabilizes and shifts the flow instability onset to higher Reynolds numbers. The features of the flow structure formation in the polygonal containers are shown to be similar to those in the axisymmetric configuration. It is proved that the onset of the unsteadiness in polygonal configurations is based on the appearance of rotating vortex multiplets, which is similar to the cylindrical container.

Graphic abstract

Notes

Acknowledgements

This work was partially supported by the Russian Foundation for Basic Research No. 18-08-00508 and Russian President scholarship SP-3122.2019.1. The development of PIV measurements was carried out under state contract with IT SB RAS.

References

  1. Akhmetbekov EK, Bil′skii AV, Lozhkin YuA, Markovich DM, Tokarev MP (2006) System of control of experiment and processing of data obtained by the methods of digital tracer visualization (ActualFlow). Vych Metod Programmirov 7:79–85Google Scholar
  2. Alekseenko SV, Kuibin PA, Okulov VL (2007) Theory of concentrated vortices: an introduction. Springer, Berlin, p 475zbMATHGoogle Scholar
  3. Anikin YuA, Naumov IV, Meledin VG, Okulov VL, Sadbakov OYu (2004) Experimental investigation of pulsation of swirl flow in cubic container. Thermophys Aeromech 11(4):571–576Google Scholar
  4. Escudier MP (1984) Observations of the flow produced in a cylindrical container by a rotating endwall. Exp Fluids 2:189–196.  https://doi.org/10.1007/BF00571864 CrossRefGoogle Scholar
  5. Gelfgat AYu, Bar-Yoseph PZ, Solan A (1996) Stability of confined swirling flow with and without vortex breakdown. J Fluid Mech 311:1–36.  https://doi.org/10.1017/S0022112096002492 MathSciNetCrossRefzbMATHGoogle Scholar
  6. Gelfgat AYu, Bar-Yoseph PZ, Solan A (2001) Three-dimensional instability of axisymmetric flow in rotating lid-cylinder enclosure. J Fluid Mech 438:363–377.  https://doi.org/10.1017/S0022112001004566 CrossRefzbMATHGoogle Scholar
  7. Herrada MA, Shtern VN, Torregrosa MM (2015) The instability nature of the Vogel-Escudier flow. J Fluid Mech 766:590–610.  https://doi.org/10.1017/jfm.2015.34 MathSciNetCrossRefGoogle Scholar
  8. Kulikov DV, Mikkelsen R, Naumov IV, Okulov VL (2014) Diagnostics of bubble-mode vortex breakdown in swirling flow in a large-aspect-ratio cylinder. Tech Phys Lett 40:181–184.  https://doi.org/10.1134/S1063785014020230 CrossRefGoogle Scholar
  9. Litvinov I, Shtork S, Gorelikov E, Mitryakov A, Hanjalic K (2018) Unsteady regimes and pressure pulsations in draft tube of a model hydro turbine in a range of off-design conditions. Exp Thermal Fluid Sci 91:410–422.  https://doi.org/10.1016/j.expthermflusci.2017.10.030 CrossRefGoogle Scholar
  10. Lopez JM (1990) Axisymmetric vortex breakdown. Part 1: confined swirling flow. J Fluid Mech 221:533–552.  https://doi.org/10.1017/S0022112090003664 MathSciNetCrossRefzbMATHGoogle Scholar
  11. Lopez JM (2012) Three-dimensional swirling flows in a tall cylinder driven by a rotating endwall. Phys Fluids 24:01410.  https://doi.org/10.1063/1.3673608 CrossRefGoogle Scholar
  12. Lopez JM, Perry AD (1992) Axisymmetric vortex breakdown. Part 3: onset of periodic flow and chaotic advection. J Fluid Mech 234:449–471.  https://doi.org/10.1017/S0022112092000867 MathSciNetCrossRefzbMATHGoogle Scholar
  13. Meledin VG, Naumov IV, Pavlov VA (2002) An experimental investigation of the flow produced in a rectangular container by rotating disk using LDA. In: Greated C (ed) Optical methods and data processing in heat and fluid flow. Chapter 3. Professional Engineering Publishing Ltd, Suffolk, pp 25–37Google Scholar
  14. Naumov IV, Podolskaya IYu (2017) Topology of the vortex breakdown in closed polygonal containers. J Fluid Mech 820:263–283.  https://doi.org/10.1017/jfm.2017.211 MathSciNetCrossRefzbMATHGoogle Scholar
  15. Naumov IV, Mikkelsen RF, Okulov VL (2014) Stagnation zone formation on the axis of a closed vortex flow. Thermophys Aeromech 21:767–770.  https://doi.org/10.1134/S0869864314060134 CrossRefGoogle Scholar
  16. Naumov IV, Dvoynishnikov SV, Kabardin IK, Tsoy MA (2015) Vortex breakdown in closed containers with polygonal cross sections. Phys Fluids 27:124103.  https://doi.org/10.1063/1.4936764 CrossRefGoogle Scholar
  17. Naumov IV, Herrada MA, Sharifullin BR, Shtern VN (2018) Slip at the interface of a two-fluid swirling flow. Phys Fluids 30:074101.  https://doi.org/10.1063/1.5037222 CrossRefGoogle Scholar
  18. Okulov VL, Naumov IV, Sørensen JN (2007) Optical diagnostics of intermittent flows. Tech Phys 52:583–592.  https://doi.org/10.1134/S1063784207050088 CrossRefGoogle Scholar
  19. Podolskaya IYu, Bakakin GV, Naumov IV (2018) The structure investigation of a vortex flow in the closed polygonal containers. J. Phys 980:012002.  https://doi.org/10.1088/1742-6596/980/1/012002 CrossRefGoogle Scholar
  20. Serre E, Bontoux P (2002) Vortex breakdown in a three-dimensional swirling flow. J Fluid Mech 459:347–370.  https://doi.org/10.1017/S0022112002007875 MathSciNetCrossRefzbMATHGoogle Scholar
  21. Shtern VN (2018) Cellular flows. Cambridge University Press, New York, p 573CrossRefGoogle Scholar
  22. Shtern VN, Torregrosa MM, Herrada MA (2012) Effect of swirl decay on vortex breakdown in a confined steady axisymmetric flow. Phys Fluids 24:043601.  https://doi.org/10.1063/1.4704194 CrossRefGoogle Scholar
  23. Skripkin S, Tsoy M, Kuibin P, Shtork S (2019) Swirling flow in a hydraulic turbine discharge cone at different speeds and discharge conditions. Exp Therm Fluid Sci 100:349–359.  https://doi.org/10.1016/j.expthermflusci.2018.09.015 CrossRefGoogle Scholar
  24. Sørensen JN, Okulov VL, Naumov I, Varlamova E (2001) Comparison of rotating flows with vortex breakdown in cylindrical and quadratic containers. In: Celata GP (ed) Proc. 5th World Conf. on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics, pp 2435–2440Google Scholar
  25. Sørensen JN, Naumov IV, Mikkelsen R (2006) Experimental investigation in three-dimensional flow instabilities in a rotating lid-driven cavity. Exp Fluids 41:425–440.  https://doi.org/10.1007/s00348-006-0170-5 CrossRefGoogle Scholar
  26. Sørensen JN, Gelfgat AYu, Naumov IV, Mikkelsen R (2009) Experimental and numerical results on three-dimensional instabilities in a rotating disk—tall cylinder flow. Phys Fluids 21:054102.  https://doi.org/10.1063/1.3133262 CrossRefzbMATHGoogle Scholar
  27. Sørensen JN, Naumov IV, Okulov VL (2011) Multiple helical modes of vortex breakdown. J Fluid Mech 683:430–441.  https://doi.org/10.1017/jfm.2011.308 CrossRefzbMATHGoogle Scholar
  28. Vogel HU (1968) Experimentelle Ergebnisse über die laminare Strömung in einem zylindrischen Gehäuse mit darin rotierender Scheibe. Max-Planck-Institut für Strömungsforschung, Göttingen, p 6Google Scholar
  29. Yu P, Meguid SA (2009) Effects of wave sidewall on vortex breakdown in an enclosed cylindrical chamber with a rotating end wall. Phys Fluids 21:017104.  https://doi.org/10.1063/1.3072090 CrossRefzbMATHGoogle Scholar
  30. Yu P, Lee TS, Zeng Y, Low HT (2008) Steady axisymmetric flow in enclosed conical frustum chamber with a rotating bottom wall. Phys Fluids 20:087103.  https://doi.org/10.1063/1.2968222 CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Kutateladze Institute of Thermophysics SB RASNovosibirskRussia

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