Astrophysics and Space Science

, Volume 113, Issue 2, pp 341–347 | Cite as

Magneto-gravitational instability of a fluid through porous medium including finite ion Larmor radius

  • R. K. Chhajlani
  • R. K. Sanghvi


The magneto-gravitational instability of an infinite, homogenous, and infinitely conducting plasma flowing through a porous medium is studied. The finite ion Larmor radius (FLR) effects and viscosity are also incorporated in the analysis. The prevalent magnetic field is assumed to be uniform and acting in the vertical direction. A general dispersion relation has been obtained from the relevant linearized perturbation equations of the problem. The wave propagation parallel and perpendicular to the direction of the magnetic field have been discussed. It is found that the condition of the instability is determined by the Jeans criterion for a self-gravitating, infinitely conducting, magnetized fluid through a porous medium. Furthermore, for transverse perturbation FLR is found to have stabilizing influence when the medium is considered inviscid.


Viscosity Magnetic Field Porous Medium Wave Propagation Dispersion Relation 
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  1. Alfvén, H. and Carlqvist, P. 1978,Astrophys. Space Sci. 55, 487.Google Scholar
  2. Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford.Google Scholar
  3. Chhonkar, R. P. S. and Bhatia, P. K.: 1977,J. Plasma Phys. 18, 273.Google Scholar
  4. Jeans, J. H.: 1902,Phil. Trans. Roy. Soc. A199, 1.Google Scholar
  5. McDonnell, J. A. M.: 1978,Cosmic Dust, John Wiley and Sons, Toronto, p. 330.Google Scholar
  6. Pacholczyk, A. G. and Stodolkiewicz, J. S.: 1960,Acta Astron. 10, 1.Google Scholar
  7. Roberts, K. V. and Taylor, J. B.: 1962,Phys. Rev. Letters 8, 197.Google Scholar
  8. Rosenbluth, M. N., Krall, N., and Rostoker, R. N.: 1962,Nucl. Fusion Suppl. 1, 143.Google Scholar
  9. Sharma, R. C. and Thakur, K. P.: 1982,Astrophys. Space Sci. 81, 95.Google Scholar
  10. Scheidegger, A. E.: 1960,The Physics of Flow through Porous Media, University Toronto Press, Toronto.Google Scholar

Copyright information

© D. Reidel Publishing Company 1985

Authors and Affiliations

  • R. K. Chhajlani
    • 1
  • R. K. Sanghvi
    • 1
  1. 1.School of Studies in PhysicsVikram UniversityUjjainIndia

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