Abstract
We present a numerical study of the flow induced by a rotating magnetic field on a liquid metal which fills a cylindrical container. Using a low frequency approximation and assuming axisymmetry, a finite difference technique is employed for the calculation of the flow field. Two different cases are considered in order to show that using a rotating magnetic field requires a detailed knowledge of its interaction with the flow. In the first situation, which is isothermal, it is shown that increasing the field intensity leads to the occurrence of Taylor-Couette type centrifugal instabilities depending upon the aspect ratio of the cavity. In the second case, which includes a heat transfer problem, it is shown that applying a very moderate rotating field to an initially unstable thermally driven convection is able to restore the flow stability.
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© 1999 Springer Science+Business Media Dordrecht
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Marty, P., Martin, W.L., Trombetta, P., Tomasino, T., Garandet, J.P. (1999). On the Stability of Rotating MHD Flows. In: Alemany, A., Marty, P., Thibault, J.P. (eds) Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows. Fluid Mechanics and Its Applications, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4764-4_23
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DOI: https://doi.org/10.1007/978-94-011-4764-4_23
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