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On self-similar motions in Z-pinch dynamics

Published online by Cambridge University Press:  13 March 2009

A. B. Bud'ko  and
M. A. Liberman
A. B. Bud'ko
Affiliation:
Institute for Physical Problems, Academy of Sciences, Kosygina st.2, Moscow 117334, U.S.S.R.
M. A. Liberman
Affiliation:
Institute for Physical Problems, Academy of Sciences, Kosygina st.2, Moscow 117334, U.S.S.R.
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Abstract

New self-similar solutions of the MHD equations for the dynamics of a high-density plasma in a linear Z-pinch are derived, taking into account the finite electric conductivity of the plasma. In a number of particular cases the self-similar solutions obtained are expressed in simple analytic form. Radial distributions of the MHD variables in the self-similar profiles show that during current heating and plasma expansion regimes with essential plasma heating on the pinch boundary are possible both with decrease and concentration of the current density on the outer pinch boundary.

Type
Research Article
Information
Journal of Plasma Physics , Volume 42 , Issue 2 , October 1989 , pp. 205 - 213
Copyright
Copyright © Cambridge University Press 1989

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References

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