Two-dimensional Inflow-outflow Solution of Supercritical Accretion Flow

Abstract

We present the two-dimensional inflow-outflow solutions of radiation hydrodynamic (RHD) equations of supercritical accretion flows. Compared with prior studies, we include all components of the viscous stress tensor. We assume steady state flow and use self-similar solutions in the radial direction to solve the equations in $r-\theta$ domain of the spherical coordinates. The set of differential equations have been integrated from the rotation axis to the equatorial plane. We find that the self-similarity assumption requires that the radial profile of density is described by $\rho (r)\propto r^{-0.5}$. Correspondingly, the radial profile of the mass inflow rate decreases with decreasing radii as ${\dot{M}}_{\mathrm{in}}\propto r$. Inflow-outflow structure has been found in our solution. In the region $\theta >65^{\circ }$ there exist inflow while above that flow moves outward and outflow could launch. The driving forces of the outflow are analyzed and found that the radiation force is dominant and push the gas particles outwards with poloidal velocity $\sim 0.25c$. The properties of outflow are also studied. The results show that the mass flux weighted angular momentum of the inflow is lower than that of outflow, thus the angular momentum of the flow can be transported by the outflow. We also analyze the convective stability of the supercritical disk and find that in the absence of the magnetic field, the flow is convectively unstable. Our analytical results are fully consistent with the previous numerical simulations of the supercritical accretion flow.

14 pages, 5 figures, accepted for publication in ApJ

References in corpus (14)

• X-ray Properties of Black-Hole Binaries
• Modelling the behaviour of accretion flows in X-ray binaries
• An accreting pulsar with extreme properties drives an ultraluminous x-ray source in NGC 5907
• A Global Three Dimensional Radiation Magneto-hydrodynamic Simulation of Super-Eddington Accretion Disks
• Discovery of a 0.42-s pulsar in the ultraluminous X-ray source NGC 7793 P13
• Discovery of coherent pulsations from the Ultraluminous X-ray Source NGC 7793 P13
• Numerical Simulation of Hot Accretion Flows (III): Revisiting wind properties using trajectory approach
• Global simulations of axisymmetric radiative black hole accretion disks in general relativity with a sub-grid magnetic dynamo
• Numerical Simulations of Optically Thick Accretion onto a Black Hole - II. Rotating Flow
• Why Is Supercritical Disk Accretion Feasible?
• Radiation Pressure-supported Accretion Disks: Vertical Structure, Energy Advection, and Convective Stability
• Theoretical modeling of Comptonized X-ray spectra of super-Eddington accretion flow: origin of hard excess in Ultraluminous X-Ray Sources
• Radiation-driven outflows in AGNs: Revisiting feedback effects of scattered and reprocessed photons
• The effects of toroidal magnetic field on the vertical structure of hot accretion flows

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• Self-similar solution of hot accretion flow: the role of kinematic viscosity coefficient