ONSET OF TURBULENCE IN THE POSITIVE COLUMN.

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0632697

Entities

People

  • F. C. Hoh

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Instability
  • Magnetic Fields
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Steady State
  • Turbulence

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.