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Approximate solution of the problem of the flow of a conducting liquid in a duct with rectangular cross section

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Abstract

An approximate analytic solution is constructed for the problem of the fully developed stationary flow of a viscous incompressible liquid with a finite isotropic conductivity in a duct of rectangular cross section in the presence of an external magnetic field at right angles to nonconducting walls. An investigation is made of the extent to which flows in ducts with two electrodes parallel to the field resemble flows with four nonconducting walls. Theoretical and experimental investigations devoted to this problem are reviewed.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, USSR

    S. A. Regirer

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  1. S. A. Regirer
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 33–40, September–October, 1970.

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Regirer, S.A. Approximate solution of the problem of the flow of a conducting liquid in a duct with rectangular cross section. Fluid Dyn 5, 741–747 (1970). https://doi.org/10.1007/BF01017290

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  • DOI: https://doi.org/10.1007/BF01017290

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