Magnetohydrodynamic stability of plasmas with radial motion

Technical Report · Tue Jan 01 04:00:00 EST 1991

OSTI ID:5293486

Scholle, E A ^[1]

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1. Illinois Univ., Urbana, IL (United States)

The stability of a screw-pinch plasma with radial motion is explored. The linear theory of ideal magnetohydrodynamic (NHD) stability for stationary equilibrium has been generalized to include radial motion. This generalization results in the force operator, F, being non-self-adjoint and the widely used energy principle being no longer useful in this case. Because of this, a set of seven complex, first-order, simultaneous ordinary differential equations needs to be solved to determine the stability. The equations are solved subject to appropriate boundary conditions using the Runge-Kutta-Fehlberg. The eigenvalues for the set of equations are also complex, with the imaginary part of the eigenvalue corresponding to the exponential growth or decay of the instability. While the method derived can be used for any cylindrical equilibrium profiles, the results will be presented for imploding screw-pinch plasmas.

• Research Organization: Oak Ridge Associated Universities, Inc., TN (United States); Illinois Univ., Urbana, IL (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-76OR00033
• OSTI ID: 5293486
• Report Number(s): DOE/OR/00033-T479; ON: DE92013917
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700370* -- Plasma Fluid & MHD Properties-- (1992-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY CONDITIONS
CLOSED PLASMA DEVICES
COMPUTER CODES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUILIBRIUM
ITERATIVE METHODS
MAGNETIC FIELDS
MHD EQUILIBRIUM
NUMERICAL SOLUTION
P CODES
PINCH DEVICES
PINCH EFFECT
RUNGE-KUTTA METHOD
SCREW PINCH
THERMONUCLEAR DEVICES
TOROIDAL PINCH DEVICES
TOROIDAL SCREW PINCH DEVICES