Magneto-gravitational instability of a rotating and finitely-conducting fluid

Details Magneto-gravitational instability of a rotating and finitely-conducting fluid Magneto-gravitational instability of a rotating and finitely-conducting fluid

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.126..143s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 126, no. 1, Oct. 1986, p. 143-153.

Astronomy and Astrophysics

Astrophysics

1

Gravitation, Magnetohydrodynamic Stability, Rotating Plasmas, Dispersion, Perturbation Theory, Wave Propagation

Scientific paper

The gravitational instability of an infinite homogenoeus finitely conducting viscid fluid through porous medium is studied in the presence of a uniform vertical magnetic field and finite ion Larmor radius (FLR) effects. The medium is considered uniformly rotating along and perpendicular to the direction of the prevalent magnetic field. A general dispersion relation is obtained from the relevant linearized perturbation equations of the problem. Furthermore, the wave propagation along and perpendicular to the direction of existing magnetic field has been discussed for each direction of the rotation. It is found that the simultaneous presence of viscosity finite conductivity, rotation, medium porosity, and FLR corrections does not essentially change the Jeans's instability condition. The stabilizing influence of FLR in the case of transverse propagation is reasserted for a nonrotating and inviscid porous medium. It is shown that the finite conductivity has destabilizing influence on the transverse wave propagation whereas for longitudinal propagation finite conductivity does not affect the Jeans's criterion.

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