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On the re-connexion of magnetic field lines in conducting fluids

Published online by Cambridge University Press:  13 March 2009

Tyan Yeh  and
W. Ian Axford
Tyan Yeh
Affiliation:
Department of Applied Physics and Information Science Institute for Pure and Applied Physical Sciences University of California, San Diego, La Jolla, California, U.S.A.
W. Ian Axford
Affiliation:
Department of Physics, Department of Applied Physics and Information Science Institute for Pure and Applied Physical Sciences University of California, San Diego, La Jolla, California, U.S.A.
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Abstract

The reconnexion of magnetic field lines is described for a special case of steady, incompressible hydromagnetic flow in two dimensions. A similarity solution is obtained which corresponds to the flow of a perfectly conducting, inviscid fluid such that magnetic field lines are carried from two sides toward, then on the other two sides away from, the centre of an X-configuration. The effects of viscosity are important in shocks which form in the vicinity of the X-lines of the configuration. The effects of finite electrical conductivity must be taken into account near the centre of the configuration which, in the symmetrical case discussed, is an X-type neutral point. From an approximate solution valid in this region it is found that the fluid must flow from the larger to the smaller wedges of the X-configuration. Hence, the reconnexion process is such that oppositely directed magnetic field lines move towards the neutral point in the larger wedges, become reconnected at the neutral point, and move away in the smaller wedges. Since the solution in the vicinity of the neutral point appears to be no more than a response to the external flow, which is in turn controlled by conditions far from the neutral point and is essentially unaffected by viscosity and finite electrical conductivity, it is tentatively concluded that the rate of re-connexion of magnetic field lines does not depend on these quantities, and that, in general, re-connexion can be expected to take place rapidly if circumstances are favourable.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 2 , May 1970 , pp. 207 - 229
Copyright
Copyright © Cambridge University Press 1970

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References

REFERENCES

Axford, W. I. 1967 Space Sci. Rev. 7, 149.CrossRefGoogle Scholar
Chapman, S. & Kendall, C. 1963 Proc. Roy. Soc. Lond. A 271, 435.Google Scholar
Chapman, S. & Kendall, P. C. 1966 Phys. Fluids 9, 2306.CrossRefGoogle Scholar
Dungey, J. W. 1953 Phil. Mag. 44, 725.Google Scholar
Dungey, J. W. 1958 Cosmical Electrodynamics. Cambridge University Press.Google Scholar
Greene, R. M. & Sweet, P. A. 1966 Astrophys. J. 147, 1153.Google Scholar
Imshennik, V. S. & Syrovatskii, S. I. 1967 Soviet Phys. JEPT 25, 656.Google Scholar
Parker, E. N. 1957 J. Geophys. Res. 62, 509.CrossRefGoogle Scholar
Parker, E. N. 1963 Astrophys. J. Suppl. Ser. 77, 8, 177.CrossRefGoogle Scholar
Petschek, H. E. 1964 AAS—NASA Symposium on the Physics of Solar Flares (ed. Hess, W. N.), NASA SP-50, 425.Google Scholar
Petschek, H. E. & Thorne, R. M. 1966 Astrophys. J. 147, 1157.CrossRefGoogle Scholar
Sonnerup, B. U. Ö. 1969 Trans. Am. Geophys. Un. 50, 295.Google Scholar
Sweet, P. A. 1958 a Proc. of IAU Symposium on Electromagnetic Phenomena in Cosmical Physics (ed. by Lehnert, B.), p. 123. Cambridge University Press.Google Scholar
Sweet, P. A. 1958 b Nuovo Cimento, Suppl. 8, Ser. X, 188.CrossRefGoogle Scholar
Sweet, P. A. 1964 AAS-NASA Symposium on the Physics of Solar Flares (ed. by Hess, W. N.), NASA SP-50, 409.Google Scholar
Uberoi, M. S. 1963 Phys. Fluids 6, 1379.CrossRefGoogle Scholar
Uberoi, M. S. 1966 Phys. Fluids 9, 2307CrossRefGoogle Scholar