Turbulent viscosity

Details Turbulent viscosity Turbulent viscosity

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...200..291c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 200, no. 1-2, July 1988, p. 291-300.

Statistics

Computation

13

Accretion Disks, Computational Astrophysics, Eddy Viscosity, Turbulence Effects, Astronomical Models, Energy Dissipation, Energy Spectra, Hydrodynamics, Navier-Stokes Equation, Turbulence Models

Scientific paper

A model for fully developed turbulence is proposed whose predictions compare favorably with those of the direct interaction approximation (DIA) model and whose main equations are easy to handle. Four different expressions for the turbulent viscosity are derived which contain no free parameters. Two of the expressions are given in terms of properties of the turbulent fluid itself; the other two are given in terms of the instability that generated the turbulence and of the properties of the mean flow. The numerical coefficients entering these relations are evaluated and found to be in good agreement with previous theoretical estimates based on Kraichnan's DIA, the renormalization group method, and turbulence modeling. In the case of shear in the mean flow, the Shakura-Sunyaev alpha parameter is shown to be less than 0.01. The four expressions can be generalized to include the effect of rotation and/or magnetic fields.

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