Magnetohydrodynamic stability of plasmas with radial motion
Thesis/Dissertation
·
OSTI ID:10144342
- 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:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC05-76OR00033
- OSTI ID:
- 10144342
- Report Number(s):
- DOE/OR/00033--T479; ON: DE92013917
- Country of Publication:
- United States
- Language:
- English
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