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Magnetic field in a cylindrical conductor moving with a velocity proportional to r−1

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Nonstationary magnetic field problems in a moving conductor are of interest in connection with obtaining pulsed magnetic fields by magnetic cumulation [1], The field penetrates into the conductor as a result of the growth of the skin layer and is carried along with the conductor. The first mechanism of the interaction of a field with a conductor is called the diffusion of the field, and the second convection. Five self-similar solutions of magnetic field problems in a conductor which has a velocity v =q/2 π r and a conductivity σ =const are discussed and a numerical solution of the problem of the compression of a field in a cylindrical cavity when the conductor moves toward the axis is presented. One of the self-similar solutions is compared with the numerical solution.

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Literature cited

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Authors and Affiliations

  1. Novosibirsk

    E. I. Bichenkov & E. P. Matochkin

Authors
  1. E. I. Bichenkov
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  2. E. P. Matochkin
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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 18–25, September–October, 1973.

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Bichenkov, E.I., Matochkin, E.P. Magnetic field in a cylindrical conductor moving with a velocity proportional to r−1 . J Appl Mech Tech Phys 14, 617–623 (1973). https://doi.org/10.1007/BF00856870

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  • DOI: https://doi.org/10.1007/BF00856870

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