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Title:
Magnetic field of a conducting fluid in two-dimensional motion
Authors:
ZELDOVICH, IA. B.; RUZMAIKIN, A. A.
Affiliation:
AB(Akademiia Nauk SSSR, Institut Prikladnoi Matematiki, Moscow, USSR)
Journal:
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 78, Mar. 1980, p. 980-986. In Russian.
Publication Date:
03/1980
Category:
Plasma Physics
Origin:
STI
NASA/STI Keywords:
CONDUCTING FLUIDS, DYNAMO THEORY, MAGNETIC FIELDS, MAGNETOHYDRODYNAMIC FLOW, TWO DIMENSIONAL FLOW, ELECTRICAL RESISTIVITY, REYNOLDS NUMBER
Bibliographic Code:
1980ZhETF..78..980Z

Abstract

The paper considers magnetic field development in a conducting fluid with one component of the velocity equal to zero; the other velocity components, the conductivity, and the magnetic field are assumed to be dependent on all three coordinates. Under these conditions a significant extension of the antidynamo theorem of plane motion (Zeldovich, 1956) is demonstrated. This result makes it possible to classify dynamo solutions in relation to the magnetic Reynolds number. 
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