Viscous accretion flows in general relativistic metrics

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

Viscous accretion in general relativistic metrics is investigated. After studying several viscosity mechanisms, a series of nondimensional viscosity parameters (α) are introduced and computed from different physical models, in analogy to the original Shakura and Sunyaaev viscous parameter. Using relativistic fluid dynamics, the coupled hydrodynamic equations for viscous disc accretion onto a black hole in both Kerr and Schwarzschild metrics are derived mathematically. As a first step to using this model, the equations governing equatorial flows with turbulent viscosity are solved numerically. The dependence of those solutions on the angular momentum is explored. A α parameter around 0.01-0.1 appears to be quite reasonable, in agreement with previous work, although values as large as ~1 may be reached under certain conditions.

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