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.

arXiv comment14 pages, 5 figures, accepted for publication in ApJ

References in corpus (55)

• X-ray Properties of Black-Hole Binaries
• Advection-Dominated Accretion: A Self-Similar Solution
• Hot Accretion Flows Around Black Holes
• On the Fate of Gas Accreting at a Low Rate onto a Black Hole
• Modelling the behaviour of accretion flows in X-ray binaries
• Advection-Dominated Accretion: Self-Similarity and Bipolar Outflows
• Foundations of Black Hole Accretion Disk Theory
• Ultraluminous X-Ray Sources
• The Nature of Ultra-Luminous Compact X-Ray Sources in Nearby Spiral Galaxies
• GRMHD Simulations of Magnetized Advection Dominated Accretion on a Non-Spinning Black Hole: Role of Outflows
• An accreting pulsar with extreme properties drives an ultraluminous x-ray source in NGC 5907
• Super-critical Accretion Flows around Black Holes: Two-dimensional, Radiation-pressure-dominated Disks with Photon-trapping
• A Global Three Dimensional Radiation Magneto-hydrodynamic Simulation of Super-Eddington Accretion Disks
• Self-Similar Accretion Flows with Convection
• Hydrodynamical Non-radiative Accretion Flows in Two-Dimensions
• Global Structure of Three Distinct Accretion Flows and Outflows around Black Holes through Two-Dimensional Radiation-Magnetohydrodynamic Simulations
• Discovery of a 0.42-s pulsar in the ultraluminous X-ray source NGC 7793 P13
• Numerical simulations of super-critical black hole accretion flows in general relativity
• Black Hole Spin via Continuum Fitting and the Role of Spin in Powering Transient Jets
• Discovery of coherent pulsations from the Ultraluminous X-ray Source NGC 7793 P13
• Three-Dimensional General Relativistic Radiation Magnetohydrodynamical Simulation of Super-Eddington Accretion, using a new code HARMRAD with M1 Closure
• Numerical Simulation of Hot Accretion Flows (II): Nature, Origin, and Properties of Outflow and Their Possible Observational Applications
• Slim Disk Model for Soft X-Ray Excess and Variability of Narrow-Line Seyfert 1 Galaxies
• Global Radiation-Magnetohydrodynamic Simulations of Black Hole Accretion Flow and Outflow: Unified Model of Three States
• Numerical Simulation of Hot Accretion Flows (III): Revisiting wind properties using trajectory approach
• Numerical Simulation of Hot Accretion Flows (I): A Large Radial Dynamical Range and the Density Profile of Accretion Flow
• A Comparison of Intermediate Mass Black Hole Candidate ULXs and Stellar-Mass Black Holes
• Global simulations of axisymmetric radiative black hole accretion disks in general relativity with a sub-grid magnetic dynamo
• Two Dimensional Adiabatic Flows onto a Black Hole: I. Fluid Accretion
• Slim Disk Model for Ultra-Luminous X-Ray Sources
• Relativistic slim disks with vertical structure
• Evidence for a Variable Ultrafast Outflow in the Newly Discovered Ultraluminous Pulsar NGC 300 ULX-1
• Formation of Overheated Regions and Truncated Disks around Black Holes; Three-dimensional General Relativistic Radiation-magnetohydrodynamics Simulations
• Numerical Simulations of Optically Thick Accretion onto a Black Hole - II. Rotating Flow
• Why Is Supercritical Disk Accretion Feasible?
• New Analytical Formula for Supercritical Accretion Flows
• Black-Hole Accretion Discs and Jets at Super-Eddington Luminosity
• General Overview of Black Hole Accretion Theory
• A Note on the Slim Accretion Disk Model
• Super-Eddington Black-Hole Models for SS 433
• Two dimensional numerical simulations of Supercritical Accretion Flows revisited
• Systematic two-dimensional radiation hydrodynamic simulations of super-Eddington accretion flow and outflow: Comparison with the slim disk model
• Radiation Pressure-supported Accretion Disks: Vertical Structure, Energy Advection, and Convective Stability
• New Spectral State of Supercritical Accretion Flow with Comptonizing Outflow
• Theoretical modeling of Comptonized X-ray spectra of super-Eddington accretion flow: origin of hard excess in Ultraluminous X-Ray Sources
• Probing the Peculiar Behavior of GRS 1915+105 at Near-Eddington Luminosity
• Structure of Advection-Dominated Accretion Disks with Outflows: Role of Toroidal Magnetic Field
• Two-dimensional inflow-wind solution of black hole accretion with an evenly symmetric magnetic field
• ROSAT Results on Narrow-Line Seyfert 1 Galaxies
• Vertical dissipation profiles and the photosphere location in thin and slim accretion disks
• Force-feeding Black Holes
• 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
• Vertical structure of Advection dominated Accretion Flows
• The influence of outflow in supercritical accretion flows

Cited by in corpus (6)

• Supercritical accretion of stellar-mass compact objects in active galactic nuclei
• The Role of Outflow Feedback on Accretion of Compact Objects in Accretion Disk of Active Galactic Nuclei
• Choked accretion onto a Schwarzschild black hole: A hydrodynamical jet-launching mechanism
• Thermal Equilibrium Solutions of Black Hole Accretion Flows: Outflows VS Advection
• Two-dimensional Inflow-Wind Solution of Hot Accretion Flow. I. Hydrodynamics
• Self-similar solution of hot accretion flow: the role of kinematic viscosity coefficient