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Thermal conductivity in solar magnetoplasmas

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Abstract

The work of Ulmschneider (1970) on the effective thermal conductivity of partially ionized plasmas has been generalized to include the effects of magnetic fields. The contributions of electron, ion and neutral heat flows have been evaluated within the framework of the binary collision theory of Burgers (1960). In the temperature regime below 15000K and pressures of 106 dyn cm−2 excellent agreement is obtained with the results of Ulmschneider for the translational part of the non-magnetic thermal conductivity. For higher temperatures a systematic discrepancy of a factor of 2 arises due to the lower order approximation in the kinetic treatment of the electrons in Burgers' theory. It is shown that the neutral component dominates heat transport in a solar magnetoplasma even at temperatures as high as 15000K and that the magnetic modulations are of a secondary character. The application of the present theories to the sunspot models of Yun (1972) shows pronounced maxima in both electrical and thermal conductivities at the interface between umbra and penumbra.

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References

  • Burgers, J.: I960, in F. H. Clauser (ed.), Plasma Dynamics, Addison-Wesley, Publ., pp. 119 et seq.

  • Burgers, J.: 1969, Flow Equations for Composite Gases, Academic Press.

  • Field, G.: 1965, Astrophys. J. 142, 531.

    Google Scholar 

  • Marshall, W.: 1957, AERE Reports T/R 2247, 2352, 2419, Harwell.

  • Oster, L.: 1968, Solar Phys. 3, 543.

    Google Scholar 

  • Schwartz, C.: 1961, Phys. Rev. 124, 1468.

    Google Scholar 

  • Shkarofsky, I. P.: 1960, Can. J. Phys. 39, 1619.

    Google Scholar 

  • Spitzer, L. and Härm, R.: 1953, Phys. Rev. 89, 977.

    Google Scholar 

  • Tandberg-Hanssen, E.: 1967, Solar Activity, Blaisdell Publ. Co., p. 33.

  • Temesvary, S. and Schlüter, A.: 1958, in B. Lehnert (ed.), ‘Electromagnetic Phenomena in Cosmical Physics’, IAU Symp. 6, 263.

  • Ulmschneider, P.: 1970, Astron. Astrophys. 4, 144.

    Google Scholar 

  • Vanderslice, J. T., Weissman, S., Mason, E. A., and Fallon, R. J.: 1962, Phys. Fluids 5, 155.

    Google Scholar 

  • Vardya, M. S.: 1961, Astrophys. J. 133, 107.

    Google Scholar 

  • Wyller, A. A.: 1963a, Astrophys. Norv. 8, 53.

    Google Scholar 

  • Wyller, A. A.: 1963b, Astrophys. Norv. 8, 79.

    Google Scholar 

  • Yun, H. S.: 1970, Astrophys. J. 162, 975.

    Google Scholar 

  • Yun, H. S.: 1972, Solar Phys. 22, 137.

    Google Scholar 

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Authors and Affiliations

  1. Bartol Research Foundation of The Franklin Institute, 19081, Swarthmore, Pa., U.S.A.

    Hong Sik Yun & Arne A. Wyller

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  1. Hong Sik Yun
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  2. Arne A. Wyller
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Additional information

The research reported in this paper was sponsored by the Air Force Cambridge Research Laboratories, AFSC, under Contract F19628-70-C-0192-P00001, but the report does not necessarily reflect endorsement by the sponsor.

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Yun, H.S., Wyller, A.A. Thermal conductivity in solar magnetoplasmas. Sol Phys 27, 44–60 (1972). https://doi.org/10.1007/BF00151769

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