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On the formation of Taylor–Görtler vortices in RMF-driven spin-up flows

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Abstract

This paper is concerned with a liquid metal flow driven by a rotating magnetic field inside a stationary cylinder. We consider especially the secondary meridional flow during the time when the fluid spins up from rest. The developing flow is investigated experimentally and by direct numerical simulations. The vertical profiles of the axial velocity are measured by means of the ultrasound Doppler velocimetry. Evolving instabilities in the form of Taylor–Görtler vortices have been observed just above the instability threshold (Ta ≥ 1.5· Ta cr). The rotational symmetry may survive over a distinct time even if a first Taylor–Görtler vortex pair has been formed as closed rings along the cylinder perimeter. The transition to a three-dimensional flow in the side layers results from the advection or a precession and splitting of the Taylor–Görtler vortex rings. The predictable behaviour of the Taylor–Görtler vortices disappears with increasing magnetic field strength. The numerical simulations agree very well with the flow measurements.

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Acknowledgments

The research is supported by the Deutsche Forschungsgemeinschaft (DFG) in frame of the SFB 609 “Electromagnetic Flow Control in Metallurgy, Crystal Growth and Electrochemistry”. This support is gratefully acknowledged. Furthermore, we appreciate the numerical support from T. Albrecht as well as the fruitful discussions with Dr. K. Eckert.

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  1. Helmholtz-Zentrum Dresden-Rossendorf, P.O. Box 510119, Dresden, Germany

    T. Vogt, I. Grants, D. Räbiger, S. Eckert & G. Gerbeth

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  1. T. Vogt
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  2. I. Grants
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  3. D. Räbiger
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  4. S. Eckert
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  5. G. Gerbeth
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Correspondence to T. Vogt.

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Vogt, T., Grants, I., Räbiger, D. et al. On the formation of Taylor–Görtler vortices in RMF-driven spin-up flows. Exp Fluids 52, 1–10 (2012). https://doi.org/10.1007/s00348-011-1196-x

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  • DOI: https://doi.org/10.1007/s00348-011-1196-x

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