Boundary-condition modification of the Novikov-Thorne accretion-disc models and velocity matching across the inner edge

Details Boundary-condition modification of the Novikov-Thorne accretion-disc models and velocity matching across the inner edge Boundary-condition modification of the Novikov-Thorne accretion-disc models and velocity matching across the inner edge

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....53..267s&link_type=abstract

Astronomy and Astrophysics, vol. 53, no. 2, Dec. 1976, p. 267-274.

Astronomy and Astrophysics

Astronomy

26

Astronomical Models, Black Holes (Astronomy), Boundary Conditions, Boundary Value Problems, Radial Velocity, Thermal Instability, Disks (Shapes), Mass Distribution, Relativistic Effects, Shear Stress

Scientific paper

The relativistic models of Novikov and Thorne (1973) for accretion disks around black holes become inadequate and physically unrealistic at the 'inner edge' due to the boundary condition there which calls for an abrupt cessation to the operation of viscous stresses at the radius separating the circular-orbit region of the accretion flow from the spiral-orbit region. In the present paper, this boundary condition is modified to allow for the general operation of viscous stress across the boundary radius and in the spiral-orbit region. Illustrative examples of accretion-disk models with the modified boundary condition are computed for several different values of the accretion rate, and a simple ad hoc radial-velocity matching procedure is performed across the 'inner edge' to connect the circular-orbit and spiral-orbit regions. The results show that the models are very sensitive to the imposed boundary condition as well as the assumed accretion rate and that allowing viscous stress to operate across the boundary radius gives physically reasonable values of density, radial drift velocity, and optical depth at and near that radius.

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