Stratification and thermodynamics in mean-field dynamos

Astronomy and Astrophysics – Astronomy

Scientific paper

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Dynamo Theory, Solar Magnetic Field, Solar Physics, Stratification, Thermodynamics, Angular Velocity, Meridional Flow, Solar Convection (Astronomy), Solar Rotation

Scientific paper

Previous investigations of axisymmetric incompressible mean-field dynamos are extended to the compressible case with strong stratification. It is shown that the effects of stratification, compressibility, and thermodynamics on the rotation law are small when the present results are compared with those previously obtained for incompressible models. For solar values of the Taylor number cylindrical contours of the angular velocity typically occur, even for strong stratification. The stagnation line of the meridional circulation is close to the bottom of the convection zone. In the presence of magnetic fields the meridional flow is amplified, in particular, close to the surface where the density is small and the Lorentz force per unit mass is large. The depth dependence of the magnetic energy density is not much altered by the inclusion of a density stratification. For cyclical dynamo magnetic fields thermal and magnetic energies are approximately in antiphase. The cyclic variation in luminosity is small and lags behind the variation in magnetic energy by about 1/8 of the period.

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