Boundary-layer behavior of the flow at the inner edge of black hole accretion disks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Boundary Layer Flow, Stellar Mass Accretion, X Ray Sources, Angular Momentum, Boundary Conditions, Boundary Value Problems, Circular Orbits, Flow Characteristics, Kepler Laws, Schwarzschild Metric

Scientific paper

The flow of accreting material into black holes from Keplerian disks surrounding them is studied. Solving the system of radial structure equations in Schwarzschild geometry for the case where the kinematic viscosity is constant, the paper discovers a boundary layer at the disk's inner edge, where the flow becomes non-Keplerian. It is also shown that, despite the operation of viscous stresses across this inner edge and the presence of the boundary layer there, very little extra energy or angular momentum is radiated or transported outward from inside that radius - a result many have often assumed but no one has carefully demonstrated. These results constitute a solution to the problem of adequately describing the flow across the inner edge and properly setting the boundary conditions there and at the event horizon.

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