1997
DOI: 10.1086/303592
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Advection‐dominated Accretion: Global Transonic Solutions

Abstract: We obtained global transonic solutions representing optically thin advectiondominated accretion flow by solving the full set of differential equations describing such systems. We found that far from the sonic point self-similar solutions are an excellent approximation of the global flow structure if the accretion rate is well below the maximum value above which no optically thin solutions exist.

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Cited by 107 publications
(112 citation statements)
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“…Thus, the integrated pressure has the maximum at r 7 r s . These features are also seen in previous solutions (Chen et al 1997;Nakamura et al 1997;Narayan et al 1997). Therefore, our solutions are consistent with numerical solutions found in other studies.…”
Section: Dynamical Structure Of Flows Without High-energy Particlessupporting
confidence: 93%
See 1 more Smart Citation
“…Thus, the integrated pressure has the maximum at r 7 r s . These features are also seen in previous solutions (Chen et al 1997;Nakamura et al 1997;Narayan et al 1997). Therefore, our solutions are consistent with numerical solutions found in other studies.…”
Section: Dynamical Structure Of Flows Without High-energy Particlessupporting
confidence: 93%
“…The advectiondominated accretion flow (ADAF) is a solution realized when the mass accretion rates are sufficiently smaller than the Eddington accretion rates (Narayan & Yi 1994). Many calculations about the global structure of ADAF were performed in the late 1990s (e.g., Narayan & Yi 1995;Chen et al 1997;Manmoto et al 1997). ADAF is so hot and tenuous that the plasma in this flow becomes collisionless, which allows the particles in the flow to have a non-thermal distribution (Mahadevan & Quataert 1997).…”
Section: Introductionmentioning
confidence: 99%
“…The ion temperature in the disc is found to be always sub-virial, Ti < ∼ 2 × 10 11 K (e.g. S76; Chen et al 1997). The strongest magnetic field is achieved in an inner region, where the plasma density is the largest.…”
Section: The Role Of Magnetic Fieldsmentioning
confidence: 99%
“…Various authors have described this cases the sub-and super-Eddington flows. Models suggest a flow deformation, such as: rotation of the velocity vector for radial advection, see, Beloborodov (1998), Bisnovatyi-Kogan (1998 Bisnovatyi-Kogan& Lovelace (2002), Chen et al (1997), Narayan et al (1997), Narayan & Yi (1995); or orbital advection for low-magnetic discs, where orbital speed vector is added to the Keplerian velocity see Fabian et al (2012). At these types of advection action of ∂v i /∂t-component is ignored.…”
mentioning
confidence: 99%