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Phys. Rev. E 73, 056311 (2006) [15 pages]

Mean electromotive force due to turbulence of a conducting fluid in the presence of mean flow

Karl-Heinz Rädler
Astrophysical Institute Potsdam, An der Sternwarte 16, D-14482 Potsdam, Germany

Rodion Stepanov
Institute of Continuous Media Mechanics, Korolyov street 1, 614061 Perm, Russia
Received 14 December 2005; revised 3 March 2006; published 24 May 2006

The mean electromotive force caused by turbulence of an electrically conducting fluid, which plays a central part in mean-field electrodynamics, is calculated for a rotating fluid. Going beyond most of the investigations on this topic, an additional mean motion in the rotating frame is taken into account. One motivation for our investigation originates from a planned laboratory experiment with a Ponomarenko-type dynamo. In view of this application the second-order correlation approximation is used. The investigation is of high interest in astrophysical context, too. Some contributions to the mean electromotive are revealed which have not been considered so far, in particular contributions to the alpha effect and related effects due to the gradient of the mean velocity. Their relevance for dynamo processes is discussed. In a forthcoming paper the results reported here will be specified to the situation in the laboratory and partially compared with experimental findings.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.73.056311
DOI: 10.1103/PhysRevE.73.056311
PACS: 47.65.-d; 47.27.-i
  • 47.65.-d
    Magnetohydrodynamics and electrohydrodynamics
  • 47.27.-i
    Turbulent flows, convection, and heat transfer
  • YEAR: 2006
KEYWORDS: turbulence, electrohydrodynamics, rotational flow, electric potential

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