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Compression of magnetic field in a viscous boundary layer

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Abstract

Galloway, Proctor, and Weiss have shown by numerical experiment that the magnetic field extending across a convective cell in a highly conducting viscous fluid may be concentrated into sheets with energy density B 2/8π larger than the kinetic energy density 1/2ϱv 2 of the convection by a factor (v/η)1/2 or more. This paper employs conventional boundary layer theory for high Reynolds number to provide a simple analytical example illustrating this remarkable effect of field concentration.

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References

  • Chapman, S.: 1954, Astrophys. J. 120, 151.

    Google Scholar 

  • Cowling, T. G.: 1953, in G. P. Kuiper (ed.), The Sun, University of Chicago Press, Chicago, Chapter 8.

    Google Scholar 

  • Galloway, D. J., Proctor, M. R. E., and Weiss, N. O.: 1977, Nature 266, 686.

    Google Scholar 

  • Galloway, D. J., Proctor, M. R. E., and Weiss, N. O.: 1978, J. Fluid Mech. 87, 243.

    Google Scholar 

  • Goldstein, S.: 1938, Modern Developments in Fluid Dynamics, Clarendon Press, Oxford.

    Google Scholar 

  • Parker, E. N.: 1963, Astrophys. J. 138, 552.

    Google Scholar 

  • Parker, E. N.: 1979, Cosmical Magnetic Fields, Clarendon Press, Oxford, Chapter 16.

    Google Scholar 

  • Peckover, R. S. and Weiss, N. O.: 1978, Monthly Notices Roy. Astron. Soc. 182, 189.

    Google Scholar 

  • Weiss, N. O.: 1966, Proc. Roy. Soc. London A293, 310.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Department of Astronomy and Astrophysics, University of Chicago, 60637, Chicago, Ill., U.S.A.

    E. N. Parker

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  1. E. N. Parker
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Additional information

This work was supported by the National Aeronautics and Space Administration under grant NGL 14-001-001.

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Parker, E.N. Compression of magnetic field in a viscous boundary layer. Sol Phys 77, 3–11 (1982). https://doi.org/10.1007/BF00156091

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  • DOI: https://doi.org/10.1007/BF00156091

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