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Analytical and numerical aspects of the electromagnetic stirring induced by alternating magnetic fields

Published online by Cambridge University Press:  20 April 2006

Y. R. Fautrelle
Y. R. Fautrelle
Affiliation:
Institut de Mecanique de Grenoble, B.P. 53 Centre de Tri, 38041 Grenoble Cedex
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Abstract

The dynamic effects of an alternating magnetic field on containers of conducting fluid are investigated in two special cases: (i) an infinitely long circular cylinder in a uniform magnetic field normal to the generators; (ii) a truncated circular cylinder in a uniform magnetic field parallel to the axis. Neglecting the motion effects in Maxwell's equations, the problem is conveniently decoupled into electromagnetic and dynamic parts. Using either analytical or numerical solutions of the electromagnetic equations, the electromagnetic forces are calculated and introduced in the motion equations. In the first case, asymptotic solutions of the Navier–Stokes equations valid for high frequencies are calculated and compared with numerical solutions obtained for the same geometry. The second case has been studied numerically, and the solutions are presented and interpreted.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 102 , January 1981 , pp. 405 - 430
Copyright
© 1981 Cambridge University Press

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References

Batchelor, G. K. 1956 J. Fluid Mech. 1, 177.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Cremer, P. 1979 Thèse de Docteur-Ingénieur, Université de Grenoble.
Khaletzky, D. 1976 Thèse de 3ème cycle, Université de Grenoble.
Moffatt, H. K. 1965 J. Fluid Mech. 22, 521.
Moffatt, H. K. 1978 Some problems in the magnetohydrodynamics of liquid metals. Z. angew Math. Mech. 58, 65.Google Scholar
Moffatt, H. K. 1980 Proc. 2nd Bat-Sheva Seminar in M.H.D. Flows and Turbulence (1978) (ed. H. Branover). Wiley.
Moreau, R. 1980 Proc. 2nd Bat-Sheva Seminar on M.H.D. Flows and Turbulence (1978) (ed. H. Branover). Wiley.
Sneyd, A. 1971 J. Fluid Mech. 49, 817.
Sneyd, A. 1979 J. Fluid Mech. 92, 35.
Szekely, J. & Nakanishi, K. 1975 Metallurgical Trans. B 6, 245.
Tarapore, E. D. & Evans, J. W. 1976 Metallurgical Trans. B 8, 179.
Tir, L. L. 1976 Magnit. Gidrod. 2, 100.