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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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.