Abstract
The main difficulties in investigating three-dimensional magnetohydrodynamic (MHD) flows with vorticity arise, first, because it is necessary to solve an independent boundary-value problem in order to find the field of the electromagnetic forces and, second, because the regimes of these flows are strongly nonlinear for the majority of high-power technological MHD processes and a number of natural phenomena. Particular importance attaches to MHD flows generated by the interaction of an electric current applied to the fluid with the magnetic self-field. This class of MHD flows has become known as electrosolenoidal flows [1]. The presence of a definite symmetry in the distribution of the electromagnetic forces and the geometry of the region of the liquid conductor makes it possible to find a solution in self-similar form. The present paper is devoted to exact solutions of the nonlinear equations for axisymmetric electrosolenoidal flows of a conducting incompressible fluid in infinite cylindrical cavities.
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V. V. Boyarevich, Ya. Zh. Freiberg, E. I. Shilova, and É. V. Shcherbinin, Electro-solenoidal Flows [in Russian], Zinatne, Riga (1985).
M. A. Gol'dshtik, Vortex Flows [in Russian], Nauka, Novosibirsk (1981).
B. Bunday, Basic Optimization Methods, Arnold, London (1984).
N. Yu. Kolpakov and V. I. Kolesnichenko, “Electrosolenoidal flow near a critical circle,” Magn. Gidrodin., No. 3, 99 (1990).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 48–53, May–June, 1991.
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Kolpakov, N.Y., Kolesnichenko, V.I. Electrosolenoidal flows in a cylindrical cavity. Fluid Dyn 26, 356–361 (1991). https://doi.org/10.1007/BF01059004
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DOI: https://doi.org/10.1007/BF01059004