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Stability of a Z pinch with rising current

Journal Article · · Physics of Fluids B; (USA)
DOI:https://doi.org/10.1063/1.859523· OSTI ID:7242847
 [1];  [2]
  1. Berkeley Research Associates, P.O. Box 852, Springfield, Virginia 22150 (USA)
  2. Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375-5000 (USA)

A two-dimensional resistive magnetohydrodynamic (MHD) code is used to examine the stability of a Z pinch to {ital m}=0 perturbations under conditions of rising current. The current waveform is chosen to keep the unperturbed radius of the pinch constant in time. At low current the perturbations oscillate without growing, or grow only weakly, contrary to the predictions of ideal MHD theory. At high current, the perturbations grow at a rate consistent with ideal MHD. The point of transition can be described in terms of a critical Lundquist number; this increases with the wavelength of the perturbation, and is about 160 for {ital ka}=0.3, where {ital k} is the wavenumber and {ital a} is the pinch radius. These results may explain recent experimental observations of anomalously stable dense Z pinches.

OSTI ID:
7242847
Journal Information:
Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:1; ISSN 0899-8221; ISSN PFBPE
Country of Publication:
United States
Language:
English