Hostname: page-component-7479d7b7d-767nl Total loading time: 0 Render date: 2024-07-08T16:37:01.857Z Has data issue: false hasContentIssue false
  • English
  • Français

Closed inner region solution including viscosity for resistive tearing in cylindrical geometry

Published online by Cambridge University Press:  13 March 2009

R. J. Hosking
R. J. Hosking
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand
Get access Rights & Permissions [Opens in a new window]

Extract

A closed solution for the increment in the logarithmic derivative &dgr;(Q) over the inner (‘resistivity’) region for resistive tearing theory in cylindrical geometry including ‘parallel’ viscosity is compared with an earlier numerical solution. The singular point Qcrit about which δ(Q) exhibits branch-point behaviour in the presence of compressibility is identified; modification of the viscous theory, to include (for example) finite Larmor radius effects, is suggested. In the incompressible limit, a familiar (inviscid) stability criterion is recovered, in the presence of ‘parallel’ viscosity.

Type
Articles
Information
Journal of Plasma Physics , Volume 13 , Issue 1 , February 1975 , pp. 27 - 32
Copyright
Copyright © Cambridge University Press 1975

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abramowitz, M. & Stegun, I. A. (ed.) 1965 Handbook of Mathematical Functions. Dover.Google Scholar
Bragrnskii, S.I. 1965 Reviews of Plasma Physics (ed. Leontovich, M. A.), vol. 1, p. 205.New York: Consultants Bureau.Google Scholar
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. 1973 Phys. Fluids, 16, 1054.CrossRefGoogle Scholar
Hosking, R. J. & Marinoff, G. M. 1973 Plasma Physics, 15, 327.CrossRefGoogle Scholar
Johnson, S. L., Greene, J. M. & Coppi, B. 1963 Phys. Fluids, 6, 1169.CrossRefGoogle Scholar
Liley, B. S. 1972 University of Waikato, Physics Research Report 103.Google Scholar
Lister, G. G. & Hosking, R. J 1970 Phys. Fluids, 13, 144.Google Scholar
Marinoff, G. M. 1974 J. Plasma Phys. 11, 253.CrossRefGoogle Scholar
Mikhailovskii, A. B. & Tsypin, V. S. 1971 Plasma Physics, 13, 785.CrossRefGoogle Scholar
Stringer, T. E. & Connor, J. 1971 Phys. Fluids, 14, 2177.Google Scholar