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Magnetohydrodynamic convection in a vertical slot with horizontal magnetic field

Published online by Cambridge University Press:  17 February 2003

ULRICH BURR
Affiliation:
Eidgenössische Technische Hochschule Zürich, Institut für Hydromechanik und Wasserwirtschaft, ETH Hönggerberg, CH-8093 Zürich, Switzerland Present address: Voith Turbo GmbH & Co. KG, Alexanderstrasse 2, 89522 Heidenheim, Germany.
LEOPOLD BARLEON
Affiliation:
Forschungszentrum Karlsruhe GmbH, Institut fuer Kern- und Energietechnik, Postfach 3640, D-76021 Karlsruhe, Germany
PAUL JOCHMANN
Affiliation:
Universität Karlsruhe, Institut für Thermische Strömungsmaschinen, Kaiserstrasse 12, D-76128 Karlsruhe, Germany
ARKADY TSINOBER
Affiliation:
Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel

Abstract

This article presents an experimental study of magnetohydrodynamic convection in a tall vertical slot under the influence of a horizontal magnetic field. The test fluid is an eutectic sodium potassium Na22K78 alloy with a small Prandtl number of Pr ≈ 0:02. The experimental setup covers Rayleigh numbers in the range 103 [lsim ] Ra [lsim ] 8×104 and Hartmann numbers 0 < M < 1600. The effect of the magnetic field on the convective heat transport is determined not only by damping as expected from Joule dissipation but also, for magnetic fields not too strong, the convective heat transfer may be considerably enhanced compared to ordinary hydrodynamic (OHD) flow. Estimates of the isotropy properties of the flow by a four-element temperature probe demonstrate that the increase in convective heat transport accompanies the formation of strong local anisotropy of the turbulent eddies in the sense of an alignment of the main direction of vorticity with the magnetic field. The reduced three-dimensional nonlinearities in non-isotropic flow favour the formation of largescale vortex structures compared to OHD flow, which are more effective for convective heat transport. Along with the formation of quasi-two-dimensional vortex structures, temperature fluctuations may be considerably enhanced in a magnetic field that is not too strong. However, above Hartmann numbers M [gsim ] 400 the formerly strongly time-dependent flow suddenly becomes stationary with an extended region of high convective heat transport at stationary flow. Finally, for very high Hartmann numbers the convective motion is strongly suppressed and the heat transport is reduced to a state close to pure heat conduction.

Type
Research Article
Copyright
© 2003 Cambridge University Press

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