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Topological pumping of magnetic flux by three-dimensional convection

Published online by Cambridge University Press:  29 March 2006

E. M. Drobyshevski
Affiliation:
Ioffe Physical Technical Institute, Academy of Sciences of the USSR, Leningrad
V. S. Yuferev
Affiliation:
Ioffe Physical Technical Institute, Academy of Sciences of the USSR, Leningrad

Abstract

Attention is drawn to a principal difference between the transfer of a horizontal magnetic field by turbulence and by three-dimensional cell convection.

If the motion of the conducting medium in the cells is such that the heated material ascends at the centre while descending along the sides of the cells, then the magnetic tubes of force will be carried downwards by peripheral flows. Discrete ascending flows separated from one another by descending material carry only closed magnetic field loops. Such loops do not transfer net magnetic flux. As a result, the magnetic flux becomes blocked at the base of the convective layer.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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References

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon Press.
Childress, S. 1970 New solutions of the kinematic dynamo problem J. Math. Phys. 11, 3063.Google Scholar
Cowling, T. G. 1945 Mon. Not. Roy. Astr. Soc. 105, 166.
Kipper, A. J. 1958 Electromagnetic Phenomena in Cosmical Physics, 6th IAU Symp. (ed. B. Lehnert), p. 33. Cambridge University Press.
Krishnamurti, R. 1968 J. Fluid Mech. 33, 445, 457.
Landau, L. D. & Lifshitz, E. M. 1957 Elektrodinamika Sploshnykh Sred. Moscow: GITTL. (Trans. Electrodynamics of Continuous Media. Pergamon.)
Parker, E. N. 1970 Astrophys. J. 160, 383.
Parker, E. N. 1971 Astrophys. J. 163, 279.
Roberts, G. O. 1970 Spatially periodic dynamos. Phil. Trans. A 266, 535.Google Scholar
Vainshtein, S. I. & Zel'dovich, Ya. B. 1971 Usp. Fiz. Nauk. 106, 431.
Weiss, N. O. 1966 Proc. Roy. Soc. A, 293, 310.