Advertisement

Astrophysics and Space Science

, Volume 191, Issue 2, pp 307–312 | Cite as

A note on MHD instability of a compressible gravitational streaming fluid cylinder

  • Ahmed E. Radwan
Article

Abstract

The fundamental equations are formulated using cylindrical polar coordinates and then solved in the unperturbed state. The perturbation equations are determined, simplified, integrated and the constants of integrations are identified by applying appropriate boundary conditions across the perturbed fluid interface. A cumbersome stability criterion for MHD inviscid compressible self-gravitating streaming fluid cylinder is derived. The magnetic field is stabilizing, the streaming is destabilizing while both of the self-gravitating and compressibility are stabilizing or not according to restrictions and that the gravitational instability of sufficiently long waves will persist. Several approximations are required to obtain Chandrasekhar's and Fermi's dispersion relation (Chandrasekhar and Fermi, 1953).

Keywords

Boundary Condition Magnetic Field Compressibility Dispersion Relation Stability Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chandrasekhar, S.: 1981,Hydrodynamic and Hydromagnetic Stability, Dover Publ., New York.Google Scholar
  2. Chandrasekhar, S. and Fermi, E.: 1953,Astrophys. J. 118, 116.Google Scholar
  3. Plateau, J.: 1883,Statistique experimental et théorique des liquides des saumis aux seules forces moléculaires, Gauthier-Villars, Vols. 1 et 2.Google Scholar
  4. Radwan, A. E.: 1990,Arch. Mech. 42, 31.Google Scholar
  5. Radwan, A. E. and Elazab, S. S.: 1989,Astrophys. Space Sci. 158, 281.Google Scholar
  6. Radwan, A. E.: 1988,J. Mag. Mag. Matr. 72, 219.Google Scholar
  7. Rayleigh, J. W.: 1945,The Theory of Sound, Dover Publ., New York.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Ahmed E. Radwan
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceAin-Shams UniversityCairoEgypt

Personalised recommendations