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Analytical Solution of the Problem of the Electrovortex Flow in the Hemisphere with Finite Size Electrodes in the Stokes Approximation

  • Theoretical and Mathematical Physics
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Moscow University Physics Bulletin Aims and scope

Abstract

An analytical solution was obtained for a stationary axisymmetric motion equation for a flow caused by an inhomogeneous electric current propagating through an electrically conducting liquid. The problem was solved in the variables for vorticity and velocity vector potential in hemispherical geometry with the finite size electrodes. Stokes and electrodynamic approximations were used.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Moscow, 119991, Russia

    E. A. Mikhailov

  2. Joint Institute for High Temperatures, Moscow, 125412, Russia

    I. O. Teplyakov

Authors
  1. E. A. Mikhailov
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  2. I. O. Teplyakov
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Corresponding author

Correspondence to E. A. Mikhailov.

Additional information

Original Russian Text © E.A. Mikhailov, I.O. Teplyakov, 2018, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2018, No. 2, pp. 40–45.

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Mikhailov, E.A., Teplyakov, I.O. Analytical Solution of the Problem of the Electrovortex Flow in the Hemisphere with Finite Size Electrodes in the Stokes Approximation. Moscow Univ. Phys. 73, 162–167 (2018). https://doi.org/10.3103/S0027134918020108

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  • DOI: https://doi.org/10.3103/S0027134918020108

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