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Differential rotation caused by anisotropic turbulent viscosity

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Abstract

The law of rotation as well as the corresponding meridional circulations in the hydrogen convection zone (HCZ) are investigated by solving numerically the time independent Navier-Stokes equations. The HCZ is assumed to be a spherical layer of fluid with constant density and viscosity. It is assumed further that the viscosity is caused by unisotropic turbulent motions.

The results show differential rotation together with circulations. The detailed behaviour depends on a parameters characterizing the nonisotropic friction and on the kinematic viscosityv. If the friction is larger in radial direction than in lateral directions (0 ⩽s < 1) the poles rotate faster than the equator and the circulation rises at the equator and falls at the poles; if friction is smaller in radial direction (s > 1) the equator rotates faster and the sense of the circulation is reversed. The differential rotation observed at the solar surface is obtained for the values = 1.2.

For small values ofv the angular velocity is constant on cylindrical surfaces, for large values ofv it is constant on spherical surfaces. The solar law of rotation turns out to be very close to the first case.

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Authors and Affiliations

  1. Universitäts-Sternwarte, Göttingen, Germany

    H. Köhler

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  1. H. Köhler
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Based on the author's Thesis in Göttingen.

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Köhler, H. Differential rotation caused by anisotropic turbulent viscosity. Sol Phys 13, 3–18 (1970). https://doi.org/10.1007/BF00963937

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  • DOI: https://doi.org/10.1007/BF00963937

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