Ideal, steady-state, axisymmetric magnetohydrodynamic equations with flow
Abstract
The effect of rotation on the equilibrium of a plasma is studied. The axisymmetric equilibria of ideal magnetohydrodynamics (MHD) with flow have been studied numerically and analytically. A general discussion is provided of previous work on plasmas with flow and comparisons are made to the static model. A variational principle has been derived for the two dimensional problem with comments as to appropriate boundary conditions. An inverse aspect ratio expansion has been used for a study of the toroidal flow equation for both low- and high-Beta. The inverse aspect ratio expansion has also been used for a study of equations with both poloidal and toroidal flow. An overview is provided of the adaptive finite-difference code which was developed to solve the full equations.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1987
- Bibcode:
- 1987PhDT........24B
- Keywords:
-
- Axisymmetric Flow;
- Magnetohydrodynamic Flow;
- Steady Flow;
- Steady State;
- Fourier Analysis;
- Integrals;
- Magnetohydrodynamics;
- Plasma Physics