On the problem of magnetic field generation by helical turbulence
作者:
M.V. Kurgansky,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1995)
卷期:
Volume 81,
issue 1-2
页码: 101-112
ISSN:0309-1929
年代: 1995
DOI:10.1080/03091929508229072
出版商: Taylor & Francis Group
关键词: Helicity;magnetohydrodynamics;dynamo-theory
数据来源: Taylor
摘要:
Mean-field electrodynamics, including both the α-effect and the effect of Lorentz forces damping action on small-scale helical fluid motions (the latter taken in the limit of low magnetic Reynolds number values) is formulated for the electrically conducting, rotating, inviscid Boussinesq fluid. A self-consistent system of two coupled ordinary differential equations in terms of mean magnetic field intensity and helicity bulk density is derived for the case of spatial homogeneity and isotropy. The mean-field induction equation takes into account both the α-effect and the effect of magnetic viscosity. The helicity balance equation contains the helicity source due to buoyant forcing and the helicity sink because of Ohmic dissipation. This system has the unique stationary solution, which is the global attractor, and describes the saturated values of mean magnetic field intensity and helicity. Possible implications to the problem of the terrestrial magnetism are discussed briefly.
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