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The Gravitational Instability of a Finitely Conducting Rotating Plasma Through a Porous Medium

✍ Scribed by R. K. Chhajlani; R. K. Sanghvi

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
385 KB
Volume
26
Category
Article
ISSN
0005-8025

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✦ Synopsis

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 of the problem and it has been discussed in the case of rotation parallel and perpendicular to the direction of magnetic field separately. The longitudinal and transverse modes of wave propagation are discussed in each case of rotation. It is found that the combined effect of viscosity, finite conductivity, rotation and the medium porosity does not essentially change the Jeans' cziterion of gravitational instability. It is also shown that for the propagation transverse to the direction of magnetic field, the finite condnctivity destabilizes the wave number band which is stable in the limit of infinite conductivity when the medium is considered inviscid.

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## Abstract The effects of Hall currents have been studied on the hydromagnetic stability of a self‐gravitating, 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