A non-local description of turbulent stress tensor in accretion disks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Boundary Layers, Stellar Rotation, Turbulent Flow, Viscosity, Mathematical Models, Radial Flow, Stress Tensors

Scientific paper

Supersonic accretion occurs in various situations in accretion disks. In such cases the transition from subsonic flow to supersonic occurs in a very narrow region in the radial direction. A problem raised then is how turbulent viscosity should be described in such a region. We found that the radial flow acts in the direction of making the turbulent viscosity decrease. If the transonic region is extremely narrow, however, the standard description of the stress tensor in terms of the local shear strength is no longer valid. The stress tensor is a non-local quantity and should be determined as a solution of a differential equation describing space and time evolution of the stress tensor. The determination of the stress tensor by this procedure avoids the violation of causality which occurred in boundary layer problems of accretion disks.

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