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Kinematic dynamo problem in a linear velocity field

Published online by Cambridge University Press:  20 April 2006

Ya. B. Zel'Dovich ,
A. A. Ruzmaikin ,
S. A. Molchanov  and
D. D. Sokoloff
Ya. B. Zel'Dovich
Affiliation:
Keldysh Institute of Applied Mathematics, Academy of Sciences of the USSR, Miusskaya ploshchad, Moscow, 125047
A. A. Ruzmaikin
Affiliation:
Keldysh Institute of Applied Mathematics, Academy of Sciences of the USSR, Miusskaya ploshchad, Moscow, 125047
S. A. Molchanov
Affiliation:
Moscow State University, Moscow, 117234
D. D. Sokoloff
Affiliation:
Moscow State University, Moscow, 117234
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Abstract

A magnetic field is shown to be asymptotically (t → ∞) decaying in a flow of finite conductivity with v = Cr, where C = Cζ(t) is a random matrix. The decay is exponential, and its rate does not depend on the conductivity. However, the magnetic energy increases exponentially owing to growth of the domain occupied by the field. The spatial distribution of the magnetic field is a set of thin ropes and (or) layers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 144 , July 1984 , pp. 1 - 11
Copyright
© 1984 Cambridge University Press

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