A Study of the Vertical and Radial Structure of Polytropic Accretion Disks

Details A Study of the Vertical and Radial Structure of Polytropic Accretion Disks A Study of the Vertical and Radial Structure of Polytropic Accretion Disks

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phdt........20k&link_type=abstract

Thesis (PH.D.)--THE UNIVERSITY OF WISCONSIN - MADISON, 1995.Source: Dissertation Abstracts International, Volume: 56-11, Sectio

Physics

4

Disk Viscosity

Scientific paper

Closed form analytical solutions for the vertical structure of a thin, nearly Keplerian, polytropic accretion disk with the alpha-disk viscosity prescription are obtained through the use of a higher order perturbative expansion about the Keplerian solution. The lowest order correction to the angular velocity in the outer disk is computed. New results relating to the nature of the velocity vector field and the existence of outflow near the equatorial plane, including the sensitive dependence of the fluid flow on the viscosity parameter are presented. A detailed quantitative analysis of the magnitude of the mass outflow rate ejected from the disk for alpha 's below a critical value is also performed. Numerical solutions for the radial structure of a polytropic alpha-disk model, including the boundary layer, are found using both the relaxation method and a new, alternative technique. Previous work in this area is extended to values of alpha ~1, and a new result regarding the appropriate scaling of the boundary layer thickness is derived. The numerical results are also compared to our analytical perturbative expressions. Lastly, the first physically consistent numerical solutions of a polytropic disk model using the so-called "constant-delta" viscosity prescription in the boundary layer are presented.

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