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Three-dimensional flow of a viscous conducting liquid in coaxial MHD channels with an asymmetric magnetic field

L. K. Kovalev - S. M.-A. Koneev - Yu. M. Nikitin

The results of theoretical investigations of three-dimensional laminar extended MHD flows of conducting liquid in coaxial MHD channels with curvilinear conduct- ing walls r1z) and r2z), when an external asymmetric magnetic field is produced by a longitudinal current I, which is a distance Z = δro from the geometrical axis of the channel (where ro is the radius of the internal electrode at the input), are presented. Assuming the parameters ε and δ, which characterize, respectively, the asymmetry of the applied magnetic field and the meridional curvature of the ring electrodes, to be small (ε << 1, δ << I, and ε ∼ δ), the solution of the three-dimensional problem reduces to the solution of appropriate twodimensional problems. The analytical solutions obtained in the zeroth and first approximations with respect to ε and δ are illustrated by calculations of the three-dimensional velocity and potential distributions in an MHD channel.

Magnitnaya Gidrodinamika 11, No. 2, 54-60, 1975 [PDF] (in Russian)
Magnetohydrodynamics 11, No. 2, 171-176, 1975 [PDF, 0.28 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X