Experimental study of the instability of the Hartmann layer

Hartmann layers are a common feature in magnetohydrodynamics, where they organize the electric current distribution in the flow and hence the characteristics of the velocity field. In spite of their importance their stability properties are not well understood, mainly because of the scarcity of expe...

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Bibliographic Details
Published in:Journal of fluid mechanics 2004-04, Vol.504, p.167-181
Main Authors: MORESCO, P., ALBOUSSIÈRE, T.
Format: Article
Language:English
Subjects:
Earth Sciences
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Geophysics
Magnetohydrodynamics and electrohydrodynamics
Physics
Sciences of the Universe
Transition to turbulence
Turbulent flows, convection, and heat transfer
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Summary:Hartmann layers are a common feature in magnetohydrodynamics, where they organize the electric current distribution in the flow and hence the characteristics of the velocity field. In spite of their importance their stability properties are not well understood, mainly because of the scarcity of experimental data. In this work we investigated experimentally the transition to turbulence in the Hartmann layers that arise in magnetohydrodynamic flows in ducts. From measurements of the friction factor a well-marked transition to turbulence was found at a critical Reynolds number, based on the laminar Hartmann layer thickness, of approximately 380, valid also for laminarization and for a wide range of intensities of the magnetic field. The sensitivity of this result to the roughness characteristics of the walls along which the Hartmann layers develop confirms that these layers are related to the transition observed and provides more information on its stability properties.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112004007992