Fig. 4

2D graph of the density of the converged model of a circumstellar viscous outflowing disk of a (near) critically rotating star in the very inner region up to 5 stellar radii, corresponding to the disk mass-loss rate Ṁ = 10−6 M⊙ yr−1, with the constant viscosity parameter α = α0 = 0.1. The parameters of the star correspond to average parameters of Pop III stars (see Table 1) or sgB[e] stars (e.g., Kraus et al. 2007). The sonic point is in this case at a distance of approximately 2 × 104 Req. The density profile shows in this case irregular bumps in the very inner disk region. The contours mark the density levels (from lower to higher) 10−9, 10−8, 10−7, 10−6, 2.5 × 10−6, 5 × 10−6 [kg m −3], and so on, with a constant increment of 2.5 × 10−6 kg m−3.
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