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Electro-vortex flows in a cylindrical cell under axial magnetic field

Published online by Cambridge University Press:  28 September 2022

Peter Frick Open the ORCID record for Peter Frick [Opens in a new window] ,
Sergei Mandrykin Open the ORCID record for Sergei Mandrykin [Opens in a new window] ,
Vladislav Eltishchev Open the ORCID record for Vladislav Eltishchev [Opens in a new window]  and
Ilya Kolesnichenko Open the ORCID record for Ilya Kolesnichenko [Opens in a new window]
Peter Frick*
Affiliation:
Institute of Continuous Media Mechanics UB RAS, Perm614018, Russia
Sergei Mandrykin
Affiliation:
Institute of Continuous Media Mechanics UB RAS, Perm614018, Russia
Vladislav Eltishchev
Affiliation:
Institute of Continuous Media Mechanics UB RAS, Perm614018, Russia
Ilya Kolesnichenko
Affiliation:
Institute of Continuous Media Mechanics UB RAS, Perm614018, Russia
*
†Email address for correspondence: [email protected]
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Abstract

Liquid metal flows, generated in a cylindrical cell by a strong electric current flowing from the central bottom electrode to the sidewall, are studied experimentally and numerically. In the absence of an external magnetic field, the flow is caused by the interaction of the electric current with its own magnetic field and is known as electro-vortex flows (EVF), which has a pure poloidal configuration. It is also well known that even a relatively weak azimuthal force (which immediately arises if a vertical external magnetic field is applied) induces a swirl that completely changes the structure of the flow, suppressing the poloidal motion (Davidson et al., Eur. J. Mech. B Fluids, vol. 18, 1999, pp. 693–711). We study the steady-state modes and analyse the dynamics of transient modes, following the evolution of the flow structure at different ratios of azimuthal and poloidal Lorentz forces, governed by the applied current and vertical magnetic field. In the considered problem, the peculiarities of transient modes, leading to the suppression of the poloidal flow, are associated with the fact that the domain of acting forces is localized in the vicinity of the bottom electrode. The scenario of flow evolution strongly depends on the ratio of electro-vortex and rotational forces (whether the EVF has time to form before a noticeable swirl of the metal, or the swirl dominates from the beginning of flow evolution).

JFM classification

Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 949 , 25 October 2022 , A20
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Bojarevich, V., Freibergs, J.A., Shilova, E.I. & Shcherbinin, E.V. 1989 Electrically Induced Vortical Flows. Kluwer Academic Publishers.CrossRefGoogle Scholar
Davidson, P., Kinner, D., Lingwood, R.J., Short, D.J. & He, X. 1999 The role of Ekman pumping and the dominance of swirl in confined flows driven by Lorentz forces. Eur. J. Mech. B Fluids 18 (4), 693–711.CrossRefGoogle Scholar
Denisov, S., Dolgikh, V., Khripchenko, S. & Kolesnichenko, I. 2016 The electrovortex centrifugal pump. Magnetohydrodynamics 52 (1/2), 25–34.CrossRefGoogle Scholar
Herreman, W., Nore, C., Cappanera, L. & Guermond, J.L. 2021 Efficient mixing by swirling electrovortex flows in liquid metal batteries. J. Fluid Mech. 915, A17.CrossRefGoogle Scholar
Herreman, W., Nore, C., Ziebell Ramos, P., Cappanera, L., Guermond, J.L. & Weber, N. 2019 Numerical simulation of electrovortex flows in cylindrical fluid layers and liquid metal batteries. Phys. Rev. Fluids 4 (11), 113702.CrossRefGoogle Scholar
Kazak, O. 2013 Modeling of vortex flows in direct current (DC) electric arc furnace with different bottom electrode positions. Metall. Mater. Trans. B 44 (5), 1243–1250.CrossRefGoogle Scholar
Kazak, O.V. & Semko, A.N. 2011 Electrovortex motion of a melt in dc furnaces with a bottom electrode. J. Engng Phys. Thermophys. 84 (1), 223–231.CrossRefGoogle Scholar
Kelley, D.H. & Weier, T. 2018 Fluid mechanics of liquid metal batteries. Appl. Mech. Rev. 70, 020801.CrossRefGoogle Scholar
Kharicha, A., Al-Nasser, M., Barati, H., Karimi-Sibaki, E., Vakhrushev, A., Abdi, M., Ludwig, A. & Wu, M. 2022 Tornados and cyclones driven by magneto-hydrodynamic forces. Eur. J. Mech. B Fluids 94, 90–105.CrossRefGoogle Scholar
Khripchenko, S., Kolesnichenko, I. & Dolgikh, V. 2008 Pumping effect in a flat MHD channel with an electrovortex flow. Magnetohydrodynamics 44 (3), 303–314.CrossRefGoogle Scholar
Kolesnichenko, I., Frick, P., Eltishchev, V., Mandrykin, S. & Stefani, F. 2020 Evolution of a strong electro-vortex flow in a cylindrical cell. Phys. Rev. Fluids 5, 123703.CrossRefGoogle Scholar
Liu, K., Stefani, F., Weber, N., Weier, T. & Li, B.W. 2020 Numerical and experimental investigation of electro-vortex flow in a cylindrical container. Magnetohydrodynamics 56 (1), 27–42.Google Scholar
Millere, R.P., Sharamkin, V.I. & Shcherbinin, E.V. 1980 Effect of a longitudinal magnetic field on electrically driven rotational flow in a cylindrical vessel. Magnetohydrodynamics 16 (1), 66–69.Google Scholar
Vinogradov, D.A., Ivochkin, Y..P. & Teplyakov, I.O. 2018 Effect of the Earth's magnetic field on the electric-vortex-flow structure. Phys. - Dokl. 63 (11), 447–450.CrossRefGoogle Scholar
Zhilin, V.G., Ivochkin, Y.P., Oksman, A.A., Lurinsh, G.R., Chaikovskii, A.I., Chudnovskii, A.Y. & Shcherbinin, E.V. 1986 An experimental investigation of the velocity field in an axisymmetric electrovortical flow in a cylindrical container. Magnetohydrodynamics 22 (3), 323–329.Google Scholar