Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jfm...197...39r&link_type=abstract
Journal of Fluid Mechanics (ISSN 0022-1120), vol. 197, Dec. 1988, p. 39-56.
Astronomy and Astrophysics
Astronomy
27
Dynamo Theory, Helical Flow, Magnetic Fields, Magnetohydrodynamic Flow, Asymptotic Methods, Couette Flow, Magnetic Field Configurations, Perturbation Theory, Planetary Rotation, Radio Jets (Astronomy), Wentzel-Kramer-Brillouin Method
Scientific paper
This paper solves the problem of magnetic field generation by a laminar flow of conducting fluid with helical (screw-like) streamlines for large magnetic Reynolds numbers, Rm. Asymptotic solutions are obtained with help of the singular perturbation theory. The generated field concentrates within cylindrical layers whose position, magnetic-field configuration, and growth rate are determined by the distribution of the angular, Omega, and longitudinal, Vz, velocities along the radius. The growth rate is proportional to 1 sq root of Rm. When Omega and Vz are identically distributed along the radius, the asymptotic forms are of the WKB type; for different distributions, singular-layer asymptotics of the Prandtl type arise. The solutions are qualitatively different from those obtained for solid-body screw motion. The generation threshold strongly depends on the velocity profiles.
Ruzmaikin Aleksandr
Shukurov Anvar
Sokolov Dmitrii
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