Evolution of the unsteady Eddington-Vogt-Sweet circulation in the solar radiative zone in response to the solar wind torque. I - A time-similar solution of the basic equations

Computer Science – Numerical Analysis

Scientific paper

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Eddington Approximation, Solar Radiation, Solar Wind, Angular Momentum, Angular Velocity, Magnetohydrodynamics, Momentum Transfer, Numerical Analysis, Torque

Scientific paper

A time-similar solution is presented for the basic equations of the unsteady axisymmetric Eddington-Vogt-Sweet (EVS)-type flow in the nonviscous radiative interior subject to the solar wind torque. The effect of the solar wind torque is represented by the time decrease of the angular velocity on the outer boundary which coincides with the interface between the outer convective zone and the radiative interior. Attention is given to a special case of a slow decrement, in which the decay time-scale of the surface angular velocity is equal to the EVS time. Numerical results based on the time-marching method of solution confirm the existence of the time-similar solution in this case. The results also show that the direction of the meridional circulation is opposite to that of the usual EVS circulation.

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