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MHD flow in an annular channel; theory and experiment

Published online by Cambridge University Press:  29 March 2006

J. A. Baylis
Affiliation:
Central Electricity Research Laboratories, Leatherhead, Surrey
J. C. R. Hunt
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Cambridge

Abstract

The theory of Hunt & Stewartson (1965) for MHD flow in a rectangular duct with conducting walls parallel and non-conducting walls perpendicular to the magnetic field is applied to the problem of electrically driven MHD flow in a rectangular annulus. It is assumed that the Hartmann number M is sufficiently great for secondary flow effects to be negligible. The experiment described here satisfied the conditions of the theory and thus provides a sensitive experimental check on Hunt & Stewartson's theory. The theory is found to agree with the experiments to within the accuracy of the asymptotic theory.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Alty, C. J. N. 1966 Ph.D. Thesis, University of Cambridge.
Baylis, J. A. 1966 Ph.D. Thesis, University of Cambridge.
Baylis, J. A. 1971 J. Fluid Mech. 48, 417.
Branover, G. G. & Tsinober, A. B. 1971 Magnetohydrodynamics of incompressible media, Moscow 1970.
Glaberson, W. J., Donnelly, R. J. & Roberts, P. H. 1968 Phys. Fluids, 11, 292.
Hunt, J. C. R. & Malcolm, D. G. 1968 J. Fluid Mech. 33, 775.
Hunt, J. C. R. & Shercliff, J. A. 1971 Ann. Rev. Fluid Mech. 3.
Hunt, J. C. R. & Stewartson, K. 1965 J. Fluid Mech. 23, 563.
Hunt, J. C. R. & Williams, W. E. 1968 J. Fluid Mech. 31, 705.
Tani, I. 1962 J. Aerospace Sci. 29, 297.