Turbulent stress tensor in accretion disks derived by second-order closure modeling

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Astronomical Models, Boltzmann Transport Equation, Turbulence Effects, Reynolds Stress, Stellar Rotation, Turbulent Boundary Layer

Scientific paper

In accretion-disk problems the characteristic scales of the mean flows sometimes become as short as those of turbulence. In such cases the introduction of causally limited transport equations of the stress tensor is necessary to study the structure and stability of the disks. In this paper we derive such a set of equations by using second-order closure modeling. The results correspond to an extension of those derived by Kato and Inagaki as well as Narayan et al. by the moment method of the Boltzmann equation. A comparison of our results with theirs suggests that our present method is better for extensions to more general cases.

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