Polytropic Subsonic Stellar Winds with Magnetic Fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

In any complex magnetic field configuration it is to be expected that there will be not only regions of no flow (closed magnetic field lines) and of supersonic flow, but also regions of subsonic flow. Subsonic stellar winds could also be of importance in stars of different type than the Sun. In the present paper the equations for the stellar wind are examined in the case of a polytropic relation between pressure and density and for small values of the parameter ɛ=Ω2 r a 2/u a 2. The radial distance (r) and the velocity at the Alfvénic point (4πϱu 2/B 2=1) are denoted byr a andu a , and Ω is the angular velocity. It is shown that: solar breeze solutions (that is, solutions that are subsonic for values ofr such thatrnot ≫ r_a) exist only if the dimensionless energy flux is larger thantfrac{3}{2}\varepsilon ^{{raise0.5exhboxriptstyle 2kern-0.1em/kern-0.15emlower0.25exhboxriptstyle 3}}. If ɛ→0 the flow with magnetic field tends to the flow without magnetic field forr

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