Large scale circulation in the convection zone and solar differential rotation

Physics

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Atmospheric Circulation, Benard Cells, Meridional Flow, Solar Granulation, Solar Rotation, Angular Velocity, Boussinesq Approximation, Legendre Functions, Numerical Integration, Rayleigh Number

Scientific paper

The dependence on depth and latitude of the solar angular velocity produced by meridional circulation in the convection zone is studied assuming that the main mechanism responsible for setting up and driving the circulation is the interaction of rotation with convection. The first-order equations (perturbation of the spherically symmetric state) are solved in the Boussinesq approximation and in the steady-state for the axisymmetric case. The interaction of convection with rotation is modeled by a convective-transport coefficient. Results are obtained for a Rayleigh number of 1000 and a Prandtl number of unity. The model is consistent with the fact that the interaction of convection with rotation sets up circulation (driven by the temperature gradient) which carries angular momentum toward the equator against viscous friction. Unfortunately, a large flux variation at the surface is also obtained. Nevertheless, it seems that the model has the basic requisites for correct dynamo action.

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