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Interaction between counter-rotating azimuthal and axial liquid metal flows in cylindrical channel

Ilya Kolesnichenko* and Vladimir Ozernykh

  • *Contact author: kiv@icmm.ru
  • Contact author: ozernykh.v@icmm.ru

Phys. Rev. Fluids 10, 113701 – Published 20 November, 2025

DOI: https://doi.org/10.1103/7bs3-xt8t

Abstract

The mechanism of generation of a localized solitary azimuthal vortex in an axial liquid metal flow is found by numerical simulations. Initially, two counter-rotating magnetic field inducers create two vortices by electromagnetic forces in the cylindrical channel with an axial through flow of liquid metal. Beyond a certain threshold of azimuthal forcing, the second vortex is completely suppressed by the first counter-rotating vortex. The threshold value is reached when the Reynolds numbers for rotating and axial flows become equal. The solitary vortex has clear-cut boundaries. After the switch-off the driving forces, the solitary vortex is frozen in the axial flow when transferred by it.

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References (31)

  1. P. A. Davidson, An introduction to Magnetohydrodynamics (Cambridge University Press, London, 2001).
  2. François rincon, dynamo theories, J. Plasma Phys. 85, 205850401 (2019).
  3. A. Gailitis, O. Lielausis, S. Dement'ev, E. Platacis, A. Cifersons, G. Gerbeth, T. Gundrum, F. Stefani, M. Christen, H. Hänel, and G. Will, Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility, Phys. Rev. Lett. 84, 4365 (2000).
  4. K. Steglitz and U. Mueller, Experimental demonstration of a homogeneous two-scale dynamo, Phys. Fluids 13, 561 (2001).
  5. H. K. Moffatt, Electromagnetic stirring, Phys. Fluids 3, 1336 (1991).
  6. Yu Gelfgat and J. Priede, Mhd flows in a rotating magnetic field (a review), Magnetohydrodynamics 31, 214 (1995).
  7. I. Kolesnichenko, A. Pavlinov, E. Golbraikh, P. Frick, A. Kapusta, and B. Mikhailovich, The study of turbulence in MHD flow generated by rotating and traveling magnetic fields, Exp. Fluids 56, 88 (2015).
  8. I. Kolesnichenko and R. Okatev, Equalisation the toroidal and poloidal kinetic energies of liquid metal stirring flow, Eur. Phys. J. Plus 139, 846 (2024).
  9. V. Ozenykh, G. Losev, E. Golbraikh, and I. Kolesnichenko, Initial stage of formation of vortex flow in an inductor with counter-rotating magnetic fields, Comput. Continuum Mech. 16, 493 (2023).
  10. J. A. Shercliff, Theory of Electromagnetic Flow Measurement (Cambridge University Press, Cambridge, 1962).
  11. T. Schulenberg and R. Stieglitz, Flow measurement techniques in heavy liquid metals, Nucl. Eng. Des. 240, 2077 (2010).
  12. R. Khalilov, I. Kolesnichenko, A. Mamykin, and A. Pavlinov, A combined liquid sodium flow measurement system, Magnetohydrodynamics, 52, 53 (2016).
  13. S. Eckert, D. Buchenau, G. Gerbeth, F. Stefani, and F. Weiss, Some recent developments in the field of measuring techniques and instrumentation for liquid metal flows, J. Nucl. Sci. Technol. 48, 490 (2011).
  14. V. Sharma, G. Vijaya Kumar, S. K. Dash, B. K. Nashine, and K. K. Rajan, Modeling of permanent magnet flowmeter for voltage signal estimation and its experimental verification, Flow Meas. Instrum. 28, 22 (2012).
  15. A. Pavlinov, R. Khalilov, A. Mamykin, and I. Kolesnichenko, Electromagnetic flowmeter for wide-temperature range intensive liquid metal flows, IOP Conf. Series: Mater. Sci. Eng. 581, 012011 (2019).
  16. S. Poornapushpakala, C. Gomathy, J. I. Sylvia, and B. Babu, Design, development and performance testing of fast response electronics for eddy current flowmeter in monitoring sodium flow, Flow Meas. Instrum. 38, 98 (2014).
  17. J. Forbriger and F. Stefani, Transient eddy current flow metering, Meas. Sci. Technol. 26, 105303 (2015).
  18. A. Pavlinov, R. Khalilov, A. Mamikyn, and I. Kolesnichenko, Eddy current flowmeter for sodium flow, IOP Conf. Ser.: Mater. Sci. Eng. 208, 012031 (2017).
  19. A. Thess, E. Votyakov, and Y. Kolesnikov, Lorentz force velocimetry, Phys. Rev. Lett. 96, 164501 (2006).
  20. J. Priede, D. Buchenau, and G. Gerbeth, Force-free and contactless sensor for electromagnetic flowrate measurements, Magnetohydrodynamics 45, 451 (2009).
  21. I. Belyaev, N. Razuvanov, V. Sviridov, and V. Zagorsky, Temperature correlation velocimetry technique in liquid metals, Flow Meas. Instrum. 55, 37 (2017).
  22. E. V. Votyakov and S. C. Kassinos, On the analogy between streamlined magnetic and solid obstacles, Phys. Fluids 21, 097102 (2009).
  23. I. Kolesnichenko, A. Mamykin, E. Golbraikh, and A. Pavlinov, Temperature correlation method application to the problem of measuring the flow rate of liquid sodium, Magnetohydrodynamics 57, 547 (2021).
  24. O. Zikanov, I. Belyaev, Y. Listratov, P. Frick, N. Razuvanov, and V. Sviridov, Mixed convection in pipe and duct flows with strong magnetic fields, Appl. Mech. Rev. 73, 010801 (2021).
  25. G. G. Branover and A. B. Tsinober, Magnetohydrodynamics of Incompressible Media [in Russian], (Nauka, Moscow, 1970).
  26. L. Zwirner, R. Khalilov, I. Kolesnichenko, A. Mamykin, A. Pavlinov, S. Mandrykin, A. Shestakov, A. Teimurazov, P. Frick, and O. Shishkina, The influence of the inclination angle on the heat transport and large-scale circulation in liquid metal convection, J. Fluid Mech. 884, A18 (2020).
  27. A. Teimurazov and P. Frick, Thermal convection of liquid metal in a long inclined cylinder, Phys. Rev. Fluids 2, 113501 (2017).
  28. I. Kolesnichenko, P. Frick, V. Eltishchev, S. Mandrykin, and F. Stefani, Evolution of a strong electrovortex flow in a closed cell, Phys. Rev. Fluids 5, 123703 (2020).
  29. P. Frick, S. Mandrykin, V. Eltishchev, and I. Kolesnichenko, Electro-vortex dynamics in a cylindrical cell under axial magnetic field, J. Fluid Mech. 949, A20 (2022).
  30. R. Khalilov, I. Kolesnichenko, A. Pavlinov, A. Mamykin, A. Shestakov, and P. Frick, Thermal convection of liquid sodium in inclined cylinders, Phys. Rev. Fluids 3, 043503 (2018).
  31. S. Miralles, G. Verhille, N. Plihon, and J.-F. Pinton, The magnetic-distortion probe: Velocimetry in conducting fluids, Rev. Sci. Instrum. 82, 095112 (2011).

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