Astrophysics and Space Science

, Volume 141, Issue 2, pp 347–351 | Cite as

On the hydrodynamics of accretion discs

I. An examination of a standard boundary condition
  • Chris Koen


The widely used boundary condition on the tangential stress in accretion discs is discussed and found wanting on a number of counts. In particular, it is shown that the value of the viscous energy dissipation calculated from it is unphysical. An alternative boundary condition is suggested. Using this, it is found that the energy balance in the disc places certain restrictions on the rotational velocity in the disc. It seems unlikely that the latter could be of the Keplerian form.


Boundary Condition Energy Balance Energy Dissipation Rotational Velocity Tangential Stress 
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  1. Batchelor, G. K.: 1967,An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge.Google Scholar
  2. Bath, G. T. and Pringle, J. E.: 1982,Monthly Notices Roy. Astron. Soc. 199, 267.Google Scholar
  3. Burm, H.: 1985,Astron. Astrophys. 143, 389.Google Scholar
  4. Canuto, B. M., Goldman, I., and Hubickyj, O.: 1984,Astrophys. J. 280, L55.Google Scholar
  5. Kline, S. J., Cantwell, B. J., and Lilley, G. M.: 1981,The 1980–1981 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation and Experiment, Stanford University, Stanford.Google Scholar
  6. Koen, M. C.: 1981, Publ. Astron. Dept., UCT No. 2.Google Scholar
  7. Lynden-Bell, D. and Pringle, J. E.: 1974,Monthly Notices Roy. Astron. Soc. 168, 603.Google Scholar
  8. Papaloizou, J. C. B. and Stanley, G. Q. G.: 1986,Monthly Notices Roy. Astron. Soc. 220, 593.Google Scholar
  9. Pringle, J. E.: 1981,Ann. Rev. Astron. Astrophys. 19, 137.Google Scholar
  10. Rodi, W.: 1980,Turbulence Models and Their Application in Hydraulics —A State of the Art Review, International Association for Hydraulic Research.Google Scholar
  11. Shakura, N. I. and Sunyaev, R. A.: 1973,Astron. Astrophys. 24, 337.Google Scholar
  12. Smak, J.: 1982,Acta Astron. 32, 199.Google Scholar
  13. Warner, B.: 1974,Monthly Notices Roy. Astron. Soc. 168, 235.Google Scholar

Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • Chris Koen
    • 1
  1. 1.Department of BiomathematicsUNIBOMmabatho, BophuthatswanaSouth Africa

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