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Evolution of Viscous Electrically Conducting Fluid Flow on a Rotating Wall in the Presence of a Magnetic Field with Account for the Induction and Diffusion Effects

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Abstract

The evolution of a viscous conducting fluid flow on a rotating plate in the presence of a magnetic field is studied. The analytical solution of the three-dimensional time-dependent magnetohydrodynamics equations is found. In this case, the full magnetic induction equation is used, i.e., both the dissipation effect and the energy dissipation as a result of the electric current flow are taken into account. The fluid, together with the bounding plane, rotates as a whole at a constant angular velocity about a direction not perpendicular to the plane. The velocity field and the induced magnetic field in the flow of viscous electrically conducting fluid that occupies a half-space bounded by a flat wall are determined. The motion of wall is considered in a series of particular cases. Based on the results obtained, the individual structures of the near-wall boundary layers are investigated

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Authors and Affiliations

  1. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia

    A. A. Gurchenkov

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  1. A. A. Gurchenkov
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Correspondence to A. A. Gurchenkov.

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Translated by E.A. Pushkar

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Gurchenkov, A.A. Evolution of Viscous Electrically Conducting Fluid Flow on a Rotating Wall in the Presence of a Magnetic Field with Account for the Induction and Diffusion Effects. Fluid Dyn 58, 176–188 (2023). https://doi.org/10.1134/S0015462822601802

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  • DOI: https://doi.org/10.1134/S0015462822601802

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