THE INFLUENCE OF THE HALL EFFECT ON A SIMPLE HYDROMAGNETIC STABILITY PROBLEM
An exact solution is given for one very simple problem in which the Hall current is included. This is the stability of an incompressible conducting fluid containing a uniform axial magnetic field and a uniform axial current density and filling a conducting tube. For this problem it is shown that overstability does occur but that the system including the Hall effect is never overstable when the system without the Hall effect is stable. In addition, when overstability occurs, the real part of the growth rate is smaller than it is when the Hall effect is absent; thus the instability waves grow more slowly than the original instabilities. If the ion gyration frequency is much less than the characteristic hydromagnetic frequency the band of unstable wavenumbers becomes very small. (auth)
- Research Organization:
- United Kingdom Atomic Authority, Culham, Berks, Eng.
- NSA Number:
- NSA-17-042087
- OSTI ID:
- 4695571
- Journal Information:
- Nuclear Fusion (Austria), Journal Name: Nuclear Fusion (Austria) Vol. Vol: Suppl. 2, Pt. 3; ISSN NUFUA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Hall effects on combined free and forced convective hydromagnetic flow through a channel
Hydromagnetic flow over a conducting thick porous plate with Hall effects