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Effect of finite conductivity in a medium on shock-wave interaction with a magnetic field

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Abstract

We consider the problem of shock-wave incidence on a “magnetic wall”, which has been studied in [1]. It is shown that the dynamics of the processes which take place in this case depend significantly on the behavior of the conductivity-temperature dependence σ(T) of the medium and also on the magnitude of the magnetic-field intensity H0.

An exact solution of the problem is constructed for a special form of the law σ(T). For an arbitrary law σ(T) the problem is studied numerically by means of digital computer computations; the results are compared with the exact results.

Analysis of these solutions shows that the dissipative properties of the medium (electrical conductivity, viscosity), which determine the structure of the refracted wave front, affect the nature of the entire flow as a whole.

The formulated problem also makes it possible to clarify the characteristic features of the decay of a discontinuity in a conducting medium.

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References

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Authors and Affiliations

  1. Moscow

    P. P. Volosevich, S. P. Kurdyumov & Yu. P. Popov

Authors
  1. P. P. Volosevich
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  2. S. P. Kurdyumov
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  3. Yu. P. Popov
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Additional information

The authors wish to thank A. A. Samarskii, L. A. Zaklyaz'minskii, L. M. Degtyarev, and A. P. Favorskii for discussions of the study, D. A. Gol'dina and A. A. Ivanov for carrying out the numerical calculations, and also G. A. Lyubimov for several helpful comments.

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Volosevich, P.P., Kurdyumov, S.P. & Popov, Y.P. Effect of finite conductivity in a medium on shock-wave interaction with a magnetic field. Fluid Dyn 3, 9–13 (1968). https://doi.org/10.1007/BF01019184

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  • DOI: https://doi.org/10.1007/BF01019184

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