Abstract
In quasi-two-dimensional turbulent magnetohydrodynamic flows in a strong transverse magnetic field, three-dimensional effects and most of the Ohmic and viscous losses occur in the thin boundary layers at the flow-confining walls perpendicular to the magnetic field (Hartmann layers), while the bulk flow is essentially two-dimensional. A one-equation turbulence model capturing these specific flow features is introduced. The results are in fair agreement with the data obtained earlier in the MATUR experiment [K. Messadek and R. Moreau, J. Fluid Mech. 456, 137 (2002)].
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