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Free Oscillations of a Thin Luid Layer of Finite Electric Conductivity under the Action of an External Magnetic Field

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Abstract

The problem of free oscillations of a thin layer of a heavy, incompressible, inviscid fluid of finite electrical conductivity in a horizontal magnetic field is reduced to a system of integrodifferential Fredholm equations with variable coefficients. A numerical analysis is performed over a broad range of input parameters, and the results obtained are supplemented with asymptotic formulas with large and small magnetic Reynolds numbers. A classification of the resulting wave modes is proposed. It is shown that certain conditions can lead to the occurrence of unstable oscillations of the fluid layer that grow in time.

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Authors and Affiliations

  1. Rostov State University, Rostov–on–Don, 344006

    A. I. Zadorozhnyi & R. A. Gruntfest

Authors
  1. A. I. Zadorozhnyi
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  2. R. A. Gruntfest
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Zadorozhnyi, A.I., Gruntfest, R.A. Free Oscillations of a Thin Luid Layer of Finite Electric Conductivity under the Action of an External Magnetic Field. Journal of Applied Mechanics and Technical Physics 41, 982–989 (2000). https://doi.org/10.1023/A:1026686001959

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  • DOI: https://doi.org/10.1023/A:1026686001959

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