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Numerical study of turbulent magnetohydrodynamic channel flow

Published online by Cambridge University Press:  23 January 2007

THOMAS BOECK ,
DMITRY KRASNOV  and
EGBERT ZIENICKE
THOMAS BOECK
Affiliation:
Fakultät Maschinenbau, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany
DMITRY KRASNOV
Affiliation:
Fakultät Maschinenbau, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany
EGBERT ZIENICKE
Affiliation:
Institut für Physik, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany
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Abstract

Mean flow properties of turbulent magnetohydrodynamic channel flow with electrically insulating channel walls are studied using high-resolution direct numerical simulations. The Lorentz force due to the homogeneous wall-normal magnetic field is computed in the quasi-static approximation. For strong magnetic fields, the mean velocity profile shows a clear three-layer structure consisting of a viscous region near each wall and a plateau in the middle connected by logarithmic layers. This structure reflects the significance of viscous, turbulent, and electromagnetic stresses in the streamwise momentum balance dominating the viscous, logarithmic, and plateau regions, respectively. The width of the logarithmic layers changes with the ratio of Reynolds- and Hartmann numbers. Turbulent stresses typically decay more rapidly away from the walls than predicted by mixing-length models.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 572 , February 2007 , pp. 179 - 188
Copyright
Copyright © Cambridge University Press 2007

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