Skip to main content
Log in

Kelvin-Helmholtz instability of two viscous superposed rotating and conducting fluids

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Kelvin-Helmholtz instability of the interface separating two viscous rotating-conducting fluids has been studied in the presence of finite ion-Larmor radius (FLR) effects. Emloying the normal mode technique, the solutions have been obtained when the fluids are assumed to be permeated by a uniform horizontal magnetic field. For the case of two highly viscous fluids, the dispersion relation has been derived and solved numerically. It is found that the streaming velocity has a stabilizing influence on the potentially unstable arrangement of the fluids. The viscosity and FLR effects are also found to have a stabilizing influence while the Coriolis forces have a destabilizing influence on the system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bhatia, P. K.: 1970,Cosmic Electrodyn. 1, 269.

    Google Scholar 

  • Bhatia, P. K. and Chhonkar, R. P. S.: 1985,Astrophys. Space Sci. 114, 271.

    Google Scholar 

  • Bhatia, P. K. and Sankhla, V. D.: 1984,Astrophys. Space Sci. 103, 33.

    Google Scholar 

  • Bhatia, P. K. and Steiner, J. M.: 1974,Australian J. Phys. 27, 53.

    Google Scholar 

  • Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford.

    Google Scholar 

  • Chang, I-Dee and Russel, P. E.: 1965,Phys. Fluids 8, 1018.

    Google Scholar 

  • Daly, Bart J.: 1967,Phys. Fluids 10, 297.

    Google Scholar 

  • D'Angelo, N. and Von Goeler, S.: 1966,Phys. Fluids 9, 309.

    Google Scholar 

  • Gerwin, R. A.: 1968,Rev. Mod. Phys. 40, 652.

    Google Scholar 

  • Hans, H. K.: 1968,Nucl. Fusion 8, 89.

    Google Scholar 

  • Kalra, G. L. and Talwar, S. P.: 1967,Monthly Notices Roy. Astron. Soc. 135, 891.

    Google Scholar 

  • Kalra, G. L., Kathuria, S. N., Hosking, R. J., and Lister, G. G.: 1970,J. Plasma Phys. 4, 451.

    Google Scholar 

  • Lister, G. G. and Hosking, R. J.: 1972,J. Plasma Phys. 7, 553.

    Google Scholar 

  • Melcher, J. R.: 1966,Phys. Fluids 9, 1548.

    Google Scholar 

  • Ogbonna, N. and Bhatia, P. K.: 1984,Astrophys. Space Sci. 103, 233.

    Google Scholar 

  • Rao, S. S., Kalra, G. L., and Talwar, S. P.: 1968,J. Plasma Phys. 2, 181.

    Google Scholar 

  • Roberts, P. H.: 1963,Astrophys. J. 137, 679.

    Google Scholar 

  • Roberts, K. V. and Taylor, J. B.: 1962,Phys. Rev. Letters 8, 197.

    Google Scholar 

  • Talwar, S. P.: 1970,Cosmic Electrodyn. 1, 255.

    Google Scholar 

  • Talwar, S. P. and Kalra, G. L.: 1966,Ann. Astrophys. 29, 507.

    Google Scholar 

  • Willson, A. J. and Chang, I-Dee: 1967,Phys. Fluids 10, 2285.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mehta, V., Bhatia, P.K. Kelvin-Helmholtz instability of two viscous superposed rotating and conducting fluids. Astrophys Space Sci 141, 151–158 (1988). https://doi.org/10.1007/BF00641921

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00641921

Keywords

Navigation