Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000mnras.318..250o&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 318, Issue 1, pp. 250-262.
Astronomy and Astrophysics
Astronomy
15
Acceleration Of Particles, Mhd, Stars: Mass-Loss, Ism: Jets And Outflows
Scientific paper
The acceleration-collimation problem is discussed for stationary, axisymmetric, polytropic, non-relativistic MHD outflows, with causality and the current-closure condition taken into account. To elucidate the properties of physically realizable `quasi-conical' winds, we consider four kinds of rather unphysical flows in contrast, namely `radial', `asymptotic', `conical' and `current-free' flows. `Radial' flows are supposed to possess the radial structure from the source to infinity, thereby not fulfilling the transfield equation, though keeping causal contact with the source. `Asymptotic' flows coincide in the asymptotic domain with the `quasi-conical' winds, and ones extrapolated inwards from them through the subasymptotic domain to the source. Thirdly, `conical' flows are supposed to satisfy the transfield equation in the subasymptotic domain; thus they are not literally conical, but are supposed to satisfy the `solvability condition at infinity for the conical structure'. It is, however, argued that there is one difficulty in connecting the asymptotic conical structure causally to the structure upstream. Finally, `current-free' flows with no poloidal and toroidal currents everywhere in the wind zone are treated, but it is pointed out that there is no means of satisfying the current-closure condition in the wind zone. Of physical relevance are the `quasi-conical' winds, for which it is shown that the condition that open field lines in the wind zone can reach infinity leads to the requirement that the Poynting flux, proportional to ζ≡αρϖ2η, is not carried to infinity along these field lines, i.e., ζ->0, where α is the angular velocity of field lines, ρ the gas density, and η the mass flux per unit flux tube. While ζ decreases from a value of ζB≡ζA+4πηδα near the coronal base through χχΑ = 4πηαω2Α at the Alfvénic surface to null at infinity, the specific angular momentum of the flow increases up to αω2Α, and the flow energy reaches nearly α2ω2Α at infinity, where δ is a constant of the Bernouilli integral, and ϖA is the axial distance of the Alfvénic surface. It is also argued that `quasi-conical' winds with the current-closure condition fulfilled in the wind zone possess the two-componentness of outflow as one of their generic properties.
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