An alpha Omega-model of the solar differential rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Angular Velocity, Astronomical Models, Helioseismology, Hydrodynamics, Mathematical Models, Mixing Length Flow Theory, Solar Convection (Astronomy), Solar Rotation, Angular Momentum, Solar Atmosphere, Solar Interior, Viscosity

Scientific paper

We combined a new theory of the Lambda-effect with mixing-length description of the solar convection zone to develop a model of the Sun's differential rotation. Only two adjustable parameters are involved: the coefficient alphaMLT of the known mixing-length relation, l = alphaMLTHP, and the mean angular velocity, Omega. Both parameters are nearly fixed for the Sun. Nevertheless, the alpha Omega-model is successful in reproducing both the helioseismology inversions of the internal solar rotation and the observed angular velocity distribution at the surface. This encouraged us to proceed with simulating the rotation laws for the rapidly rotating 'young Sun' and slowly rotating 'old' one. The angular velocity distribution for the former case is close to the present day state. Our prediction for the old Sun is a negligible latitudinal rotation profile and a pronounced super-rotation in radius.

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