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‘Inner’ region solution for the resistive tearing instability including ‘parallel’ viscosity and compressibility

Published online by Cambridge University Press:  13 March 2009

G. M. Marinoff
G. M. Marinoff
Affiliation:
Western AustralianInstitute of Technology
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Abstract

Until now, a theoretical derivation to obtain an expression for the logarithmic derivative Δ(Q) of the ‘inner’ or resistivity region has not been attempted for the resistive tearing instability where ‘parallel’ viscosity has been included, although similar derivations have been done using ‘perpendicular’ viscosity type terms. Such a derivation is presented in this paper, along with a numerical procedure for evaluating Δ(Q). Numerical results have been obtained for a hard-core pinch configuration. The resultant graphs show branch-point behaviour that suggests inter alia stabilization due to ‘parallel’ viscosity at high temperature.

Type
Research Article
Information
Journal of Plasma Physics , Volume 11 , Issue 2 , April 1974 , pp. 253 - 268
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Coppi, B., Greene, J. M. & Johnson, J. L. 1966 Nuclear Fusion, 6, 101.CrossRefGoogle Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. N. 1963 Phys. Fluids, 6, 459.CrossRefGoogle Scholar
Furth, H. P., Rutherford, P. H. & Selberg, H. 1972 Princeton Rep. MATT-897.Google Scholar
Hosking, R. J. 1967 Phys. Fluids, 10, 1654.CrossRefGoogle Scholar
Liley, B. S. 1973 Plasma Phys. (To be published.)Google Scholar
Lister, G. G. & Hosking, R. J. 1970 Phys. Fluids, 13, 144.CrossRefGoogle Scholar