ONSET OF TURBULENCE IN THE POSITIVE COLUMN.
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH PLASMA PHYSICS LAB
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A discussion is given of a physical stabilization mechanism of the helical instability of the positive column in a longitudinal magnetic field due to quasi -linear effects. The quasi-linear steady state, consisting of a density helix rotating around the axis, is then perturbed and a chain of linearized differential equations results. When this state next becomes unstable, a coupled set of helical modes with the same growth rate are excited simultaneously, thus leading to the onset of turbulent behavior. Finally, the boundary condition and the corresponding expansion of the eigenfunction of the linearized problem, which was arbitrarily chosen previously, is reconsidered. Author
- Fluid Mechanics
- Plasma Physics and Magnetohydrodynamics