SIMBAD references

We solved analytically viscous two-dimensional (2D) fluid equations for accretion and outflows in spherical polar coordinates (r, θ, ph) and obtained explicitly flow variables in r- and θ-directions around black holes (BHs). We investigated global transonic advection-dominated accretion flow (ADAF) solutions in an r-direction on an equatorial plane using Paczynski-Wiita potential. We used radial flow variables of ADAFs with symmetric conditions on the equatorial plane as initial values for integration in the θ-direction. In the study of 2D disk structure, we used two azimuthal components of viscous stress tensors-namely, τ_rφ and τ_θφ_. Interestingly, we found that the whole advective disk does not participate in outflow generation, and the outflows form close to the BHs. Normally, outflow strength increased with increasing viscosity parameter (α₁), mass-loss parameter (s), and decreasing gas pressure ratio (β). The outflow region increased with increasing s, α₁ for τ_rφ and decreasing α₂ for τ_θφ_. The τ_θφ_ is effective in angular momentum transportation at high latitude and outflows collimation along an axis of symmetry, since it changes polar velocity (v_θ) of the flow. The outflow emission is also affected by the ADAF size and decreases with it. Transonic surfaces formed for both inflows (v_r< 0, very close to BH) and outflows (v_r> 0). We also explored no outflows, outflows, and failed outflows regions, which mainly depend on the viscosity parameters.