A solvable self-similar model of the sausage instability in a resistive Z pinch
- Beam Physics Branch, Plasma Physics Division, Naval Research Laboratory, Washington, DC 20375-5000 (US)
A solvable model is developed for the linearized sausage mode within the context of resistive magnetohydrodynamics. The model is based on the assumption that the {ital fluid} {ital motion} of the plasma is self-similar, as well as several assumptions pertinent to the limit of wavelength long compared to the pinch radius. The perturbations to the magnetic field are {ital not} assumed to be self-similar, but rather are calculated. Effects arising from time dependences of the {ital z}-independent perturbed state, e.g., current rising as {ital t}{sup {alpha}}, Ohmic heating, and time variation of the pinch radius, are included in the analysis. The formalism appears to provide a good representation of global'' modes that involve coherent sausage distortion of the entire cross section of the pinch, but excludes modes that are localized radially, and higher radial eigenmodes. For this and other reasons, it is expected that the model underestimates the maximum instability growth rates, but is reasonable for global sausage modes. The net effect of resistivity and time variation of the unperturbed state is to decrease the growth rate if {alpha}{approx lt}1, but never by more than a factor of about 2. The effect is to increase the growth rate if {alpha}{approx gt}1.
- OSTI ID:
- 5569948
- Journal Information:
- Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 3:7; ISSN 0899-8221; ISSN PFBPE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700107* -- Fusion Energy-- Plasma Research-- Instabilities
DEUTERIUM
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FIBERS
FLUID MECHANICS
HYDRODYNAMICS
HYDROGEN ISOTOPES
INSTABILITY
ISOTOPES
LIGHT NUCLEI
LINEAR PINCH DEVICES
LINEAR Z PINCH DEVICES
MAGNETOHYDRODYNAMICS
MATHEMATICAL MODELS
MECHANICS
NUCLEI
ODD-ODD NUCLEI
OPEN PLASMA DEVICES
PHYSICAL PROPERTIES
PINCH DEVICES
PLASMA DRIFT
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SAUSAGE INSTABILITY
STABLE ISOTOPES
THERMONUCLEAR DEVICES