Large scale properties in turbulent spherically symmetric accretion

Abstract

The role of turbulence in a spherically symmetric accreting system has been studied on very large spatial scales of the system. This is also a highly subsonic flow region and here the accreting fluid has been treated as nearly incompressible. It has been shown here that the coupling of the mean flow and the turbulent fluctuations, gives rise to a scaling relation for an effective "turbulent viscosity". This in turn leads to a dynamic scaling for sound propagation in the accretion process. As a consequence of this scaling, the sonic horizon of the transonic inflow solution is shifted inwards, in comparison with the inviscid flow.

17 pages, AASTeX

References in corpus (2)

• Realizability of stationary spherically symmetric transonic accretion
• Viscosity in spherically symmetric accretion

Cited by in corpus (9)

• Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric
• Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry
• The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
• Critical properties of spherically symmetric accretion in a fractal medium
• Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
• Implications of nonlinearity for spherically symmetric accretion
• Carter-Penrose diagrams for emergent spacetime in axisymmetrically accreting black hole systems
• An Analytical Study on the Multi-critical Behaviour and Related Bifurcation Phenomena for Relativistic Black Hole Accretion
• Dissipation and acoustic tunnelling about the sonic horizon of Bondi accretion