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On the possibility of magnetic fields and fluid flows parallel to the X-line in a re-connexion geometry

Published online by Cambridge University Press:  13 March 2009

S. W. H. Cowley
S. W. H. Cowley
Affiliation:
Physics Department, Imperial College, London
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Abstract

We consider the possibility of modifying the Sonnerup solution for incompressible fluid flow about an X-type re-connexion line, to include fields and flows parallel to the X line. We find that such fields and flows may change across the discontinuities of the Sonnerup solution. By considering the requirements imposed by a proper matching across the various regions of flow, and by the integral conservation properties of the diffusion region, we seek to find the restrictions that are imposed on this parallel field and flow, and on the arrangement of the discontinuity planes around the diffusion region. We find that four types of such arrangements are possible, each corresponding to a different set of restrictions on the parallel field and flow. In one case, where all the discontinuity planes intersect at a common line, the ‘ parallel’ parameters of the in-flow and out-flow regions may be arbitrarily and independently chosen. Of the remaining three cases, one contains solutions with uniform parallel fields ad flows, while the other two depend for their existence on large fluid flow or magnetic field shears across the two in-flow regions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 12 , Issue 2 , October 1974 , pp. 319 - 339
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Alfvén, H. 1968 J. Geophys. Res. 73, 4379.CrossRefGoogle Scholar
Cowley, S. W. H. 1971 Cosmic Electrodyn. 2, 90.Google Scholar
Cowley, S. W. H. 1972 Magnetosphere–Ionosphere Interactions (ed. Folkestad, K.), p.227. Oslo: Universitetsforlaget.Google Scholar
Cowley, S. W. H. 1973a Cosmic Electrodyn. 3, 448.Google Scholar
Cowley, S. W. H. 1973b Radio Sci. 11, 903.CrossRefGoogle Scholar
Dessler, A. J. 1968 J. Geophys. Res. 73, 209. (See alsoCrossRefGoogle Scholar
J. Geophys. Res. 73, 1861.)Google Scholar
Dungey, J. W. 1953 Phil. Mag. 44, 725.CrossRefGoogle Scholar
Dungey, J. W. 1958 Cosmic Electrodynamics, Cambridge University Press.Google Scholar
Eastwood, J. W. 1972 Planet. Space Sci. 20, 1555.CrossRefGoogle Scholar
Gonzales, W. D. & Mozer, F. S. 1973 University of California Berkeley, Space Sciences Laboratory (14) 59.Google Scholar
Harris, E. G. 1962 Il Nuovo Cimento, 23, 115.CrossRefGoogle Scholar
Hill, T. W. 1973 Radio Sci. 8, 915.CrossRefGoogle Scholar
Parker, E. N. 1963 Astrophys. J. Suppl. (77) 8, 177.CrossRefGoogle Scholar
Petschek, H. E. 1964 AAS-NASA Symp. on the Physics of Solar Flares (ed Hess, W. N.). NASA SP-50, 425.Google Scholar
Priest, E. R. 1973 Astrophys. J. 181, 227.CrossRefGoogle Scholar
Sonnerup, B. U. Ö. 1970 J. Plasma Phys. 4, 161.CrossRefGoogle Scholar
Sonnerup, B. U. Ö. 1974 J. Geophys. Res. 79, 1546.CrossRefGoogle Scholar
Speiser, T. W. 1965 J. Geophys. Res. 70, 4219.CrossRefGoogle Scholar
Speiser, T. W. 1968 J. Geophys. Res. 73, 1112.CrossRefGoogle Scholar
Speiser, T. W. 1970 Planet. Space Sci. 18, 613.CrossRefGoogle Scholar
Yeh, T. & Axford, W. I. 1970 J. Plasma Phys. 4, 207.CrossRefGoogle Scholar
Yen, T. & Dryer, M. 1973 Astrophys. J. (To be published.)Google Scholar