## Abstract The effects of Hall currents have been studied on the hydromagnetic stability of a selfβgravitating, incompressible, viscous and finitely conducting plasma of variable density. For a uniform and horizontal magnetic field which is present, it is shown that the problem is characterized by
Hall Currents and the Rayleigh-Taylor Instability of a Finitely Conducting Plasma in the Presence of Coriolis Forces
β Scribed by V. D. Sankhla; P. K. Bhatia
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 221 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0005-8025
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β¦ Synopsis
We have studied the effect of rotation on the development of Ragleigh-Taylor instability of an incompressible, viscous, Hall, finitely conducting plasma of variable density. The solution is developed, through variational methods, for n semi-infinite pliisma in which the density varies exponentially along the vertical. It is found that the system is unstable for all wave numbers when the effects of magnetic resistivity are included. The effects of coriolis forces and viscosity on the growth rate of the unstable system are found to be stabilizing while that of Hiill currents is destabilizing.
Finite conductivity affects the growth rate of the unstable mode differently for the smaller and larger values of the wave numbers, destabilizing for the waves of large wave length and stabilizing for waves of smell wave length.
π SIMILAR VOLUMES
The magneto-gravitational instability of an infinite homogeneous, finitely conducting, viscous rotating plasma through porous medium is investignted in view of its relevance to certain stellar atmospheres. The dispersion relation has been obtained from the relevant linearized perturbntion equations
The effect of an X-point and separatrix on unstable modes is considered within the context of MHD and fluid models. We begin by reviewing the magnetic flux geometry in the vicinity of the X-point and the effect it has on wave behavior. We then consider fluid models for the edge and SOL plasma based