Ideal magnetohydrodynamic linear instabilities in the Z-pinch
- 1 March 1988
- journal article
- Published by IOP Publishing in Plasma Physics and Controlled Fusion
- Vol. 30 (3) , 201-216
- https://doi.org/10.1088/0741-3335/30/3/002
Abstract
The application of ideal magnetohydrodynamic (MHD) linear stability theory to the Z-pinch is discussed. Numerical solutions of the MHD eigenvalue equation are described. Growth rates and the spatial structure of eigenmodes have been obtained and the stabilising effect of a conducting wall on the m=1 mode has been studied. A detailed analysis of experimental results from Imperial College is presented.Keywords
This publication has 13 references indexed in Scilit:
- Observation of radial equilibrium and transition to a helix of a gas-embeddedpinchPhysical Review A, 1983
- Ideal magnetohydrodynamic theory of magnetic fusion systemsReviews of Modern Physics, 1982
- The Physics of the Dense Z-Pinch in Theory and in Experiment With Application to Fusion ReactorPhysica Scripta, 1982
- A new finite element approach to the normal mode analysis in magnetohydrodynamicsJournal of Computational Physics, 1975
- Numerical study of the magnetohydrodynamic spectra in tokamaks using galerkin's methodJournal of Computational Physics, 1975
- Continuous spectra of a cylindrical magnetohydrodynamic equilibriumPhysics of Fluids, 1974
- New approach to magnetohydrodynamic stability: I. A practical stability conceptPhysics of Fluids, 1974
- Growth Rates of Instabilities of a Diffuse Linear PinchPhysics of Fluids, 1972
- Zur Stabilität zylindersymmetrischer Plasmakonfigurationen mit VolumenströmenZeitschrift für Naturforschung A, 1958
- An energy principle for hydromagnetic stability problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958