Skip to main content
Log in

On the prescriptions of viscosity in an accretion disk model

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

Abstract

We have investigated a model of an accretion disk around a supermassive black hole in active galactic nuclei (AGN). Three kinds of prescription of viscosity have been examined. It is found that the distinction among the constructed models with these prescriptions is realized when the self-gravity of the disk is dominant over the central gravity in the outer region, though they yield the same consequences for the non-self-gravitating disk. The Toomre instability parameter is less than unity in the outer region, and consequently the disk becomes gravitationally unstable and is broken up into many clumps. It is also found that the appropriate condition for the density and temperature for pumping luminous H2O masers is not satisfied in our disk model. The density turns out to be rather high at a distance of the sub-parsec scale from the central black hole.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Claussen, M.J., Heiligman, G.M., Lo, K.Y.: Nature 310, 298 (1984)

    Article  ADS  Google Scholar 

  • dos Santos, P.M., Lépine, J.R.D.: Nature 278, 34 (1979)

    Article  ADS  Google Scholar 

  • Duschl, W.J., Strittmatter, P.A., Biermann, P.L.: Astron. Astrophys. 357, 1123 (2000)

    ADS  Google Scholar 

  • Frank, J., King, A., Raine, D.: Accretion Power in Astrophysics. Cambridge University Press, Cambridge (2002)

    Book  Google Scholar 

  • Fujimoto, S., Arai, K.: Astron. Astrophys. 330, 1190 (1998)

    ADS  Google Scholar 

  • Gardner, F.F., Whiteoak, J.B.: Mon. Not. R. Astron. Soc. 201, 13 (1982)

    ADS  Google Scholar 

  • Huré, J.-M.: Astron. Astrophys. 337, 625 (1998)

    ADS  Google Scholar 

  • Huré, J.-M., Richard, D., Zahn, J.-P.: Astron. Astrophys. 367, 1087 (2001)

    Article  ADS  Google Scholar 

  • Kai, T., Baba, T., Arai, K.: Publ. Astron. Soc. Jpn. (2012, in press)

  • Kato, S., Fukue, J., Mineshige, S.: Black-Hole Accretion Disks: Towards a New Paradigm. Kyoto University Press, Kyoto (2008)

    Google Scholar 

  • Lynden-Bell, D., Pringle, J.E.: Mon. Not. R. Astron. Soc. 168, 603 (1974)

    ADS  Google Scholar 

  • Richard, D., Zahn, J.-P.: Astron. Astrophys. 347, 734 (1999)

    ADS  Google Scholar 

  • Semenov, D., Henning, Th., Helling, Ch., Ilgner, M., Sedlmayr, E.: Astron. Astrophys. 410, 611 (2003)

    Article  ADS  Google Scholar 

  • Shakura, N.I., Sunyaev, R.A.: Astron. Astrophys. 24, 337 (1973)

    ADS  Google Scholar 

  • Shields, G.A., Wheeler, J.C.: Astrophys. Lett. 17, 69 (1976)

    ADS  Google Scholar 

  • Shore, S.N., White, R.L.: Astrophys. J. 256, 390 (1982)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Kai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kai, T., Arai, K. On the prescriptions of viscosity in an accretion disk model. Astrophys Space Sci 341, 359–362 (2012). https://doi.org/10.1007/s10509-012-1048-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-012-1048-z

Keywords

Navigation