A Model of Hydromagnetic Turbulence in Accretion Disks. II

Astronomy and Astrophysics – Astronomy

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Accretion, Accretion Disks, Magnetohydrodynamics, Turbulence, Magnetic, Viscosity

Scientific paper

A model of hydromagnetic turbulence in accretion disks is presented using a second-order closure modeling. The transport equations of both the Reynolds stress tensor and the Maxwell stress tensor are closed by second-order quantities by introducing closure approximations based on a direct interaction approximation. These derived transport equations are solved under the conditions of steady turbulence and of no mean magnetic field. We are interested only in quantities averaged in the vertical direction of the disks. The escape of the magnetic field from the disk toward a surrounding corona is taken into account phenomenologically. The results show that gaseous eddies are elongated in the radial direction, while magnetic cells are elongated in the azimuthal direction. The angular momentum is transported in the radial direction mainly by a turbulent magnetic field. The so-called alpha -value of the turbulent viscosity becomes a reasonable value for moderate values of the constants which characterize the turbulence.

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