Solar differential rotation as a multiparameter turbulence problem

Astronomy and Astrophysics – Astrophysics

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Hydrodynamic Equations, Solar Rotation, Turbulent Heat Transfer, Angular Velocity, Coriolis Effect, Heat Flux, Helioseismology, Reynolds Stress

Scientific paper

A series expansion is performed of the Reynolds stress and the turbulent heat flux in the solar rotation in ascending powers of the Coriolis parameter. It is found that in principle nine different parameters are needed to reproduce observations of differential rotation and meridional circulation at the solar surface. In particular, the 'wrong' sign of the observed horizontal Reynolds stress forms a firm constraint for the choice of the parameters. If this observations is neglected, it is relatively easy to construct models which reflect correctly the surface observations and the smooth radial profile of rotation suggested by current helioseismology findings. When the observed horizontal stress is taken into account, it is possible to produce reasonable models only when the full set of turbulence parameters is used.

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