The effect of finite electrical conductivity on the angular-momentum loss of the sun due to the solar wind

In general the solutions to the azimuthal equations of motion of the solar wind possess a singularity at the radial Alfvénic critical point if the fluid is non-viscous and has an infinite electrical conductivity. This singularity can only be removed by a proper choice of boundary conditions. If a plasma with a large but finite conductivity is considered, the singularity is removed in the mathematical sense. However, it is shown that for this latter case the actual solution does not differ significantly from the former model and that the boundary condition is still determined from the behavior of the solution at or near the Alfvénic critical point.Kitt Peak National Observatory Contribution No. 411.Operated by The Association of Universities for Research in Astronomy, Inc., under contract with the National Science Foundation.