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We provide a 2.5-dimensional solution to a complete set of viscous hydrodynamical equations describing accretion-induced outflow and then plausible jet around black holes/compact objects. We prescribe a self-consistent advective…

Astrophysics · Physics 2009-11-13 Shubhrangshu Ghosh , Banibrata Mukhopadhyay

We consider the effects of advection and radial gradients of pressure and radial drift velocity on the structure of optically thick accretion disks. We concentrate our efforts on highly viscous disks, $\alpha=1.0$, with large accretion…

Astrophysics · Physics 2007-05-23 I. V. Artemova , G. S. Bisnovatyi-Kogan , G. Bjoernsson , I. D. Novikov

We give the formulation and the general analysis of the rotational accretion problem on $D$-dimensional spherical spacetime and investigate sonic points and critical points. First, we construct the simple two-dimensional rotating accretion…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Yasutaka Koga , Tomohiro Harada

We investigate the viscous two temperature accretion discs around rotating black holes. We describe the global solution of accretion flows with a sub-Keplerian angular momentum profile, by solving the underlying conservation equations…

High Energy Astrophysical Phenomena · Physics 2015-05-14 S. R. Rajesh , Banibrata Mukhopadhyay

This paper is concerned with a mathematical model which describes 2-D flows of an incompressible viscoelastic fluid of Oldroyd type in a bounded domain. We prove the existence and uniqueness theorem for global (in time) weak solutions and…

Analysis of PDEs · Mathematics 2017-08-15 Mikhail A. Artemov , George G. Berdzenishvili

(abridged) Accretion from disks onto young stars is thought to follow magnetic field lines from the inner disk edge to the stellar surface. The accretion flow thus depends on the geometry of the magnetic field. This paper extends previous…

Solar and Stellar Astrophysics · Physics 2015-05-30 Fred C. Adams , Scott G. Gregory

In this Letter we investigate the properties of advection-dominated accretion flows (ADAFs) fed by the evaporation of a Shakura-Sunyaev accretion disk (SSD). In our picture the ADAF fills the central cavity evacuated by the SSD and extends…

Astrophysics · Physics 2009-10-31 R. Turolla , C. P. Dullemond

We calculate the radiation spectra from advection-dominated accretion flows (ADAFs), taking into account the effects of a global magnetic field. Calculation is based on the analytic model for magnetized ADAFs proposed by Kaburaki, where a…

Astrophysics · Physics 2009-10-31 Motoki Kino , Osamu Kaburaki , Naohiro Yamazaki

We study the properties of a low-angular momentum, inviscid, advective accretion flow in a deformed Kerr spacetime under the framework of general theory of relativity. We solve the governing equations that describe the flow motion in terms…

High Energy Astrophysical Phenomena · Physics 2022-10-18 Subhankar Patra , Bibhas Ranjan Majhi , Santabrata Das

Time fractional advection-dispersion equations arise as generalizations of classical integer order advection-dispersion equations and are increasingly used to model fluid flow problems through porous media. In this paper we develop an…

Numerical Analysis · Mathematics 2019-05-16 Carlos E. Mejía , Alejandro Piedrahita

We provide a unified description of thermal equilibria of black hole accretion disks, including the newly-discovered advection-dominated solutions. We classify the solutions on the basis of optical depth and importance of advection cooling.…

Astrophysics · Physics 2009-10-28 Xingming Chen , Marek A. Abramowicz , Jean-Pierre Lasota , Ramesh Narayan , Insu Yi

In a previous paper we have written down equations describing steady-state, optically thin, advection-dominated accretion onto a Kerr black hole (Gammie and Popham 1997, hereafter Paper I). In this paper we survey the numerical solutions to…

Astrophysics · Physics 2009-10-30 Robert Popham , Charles F. Gammie

We consider the evolution of two-dimensional incompressible flows with variable density, only bounded and bounded away from zero. Assuming that the initial velocity belongs to a suitable critical subspace of L^2 , we prove a global-in-time…

Analysis of PDEs · Mathematics 2024-04-04 Raphaël Danchin

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved…

Analysis of PDEs · Mathematics 2015-05-13 Xianpeng Hu , Dehua Wang

In the present study time evolution of quasi-spherical polytropic accretion flow with toroidal magnetic field is investigated. The study especially focused the astrophysically important case in which the adiabatic exponent $\gamma=5/3$. In…

Astrophysics · Physics 2012-05-11 Alireza Khesali , Kazem Faghei

We show that viscous, transonic accretion disks which start with sub-Keplerian angular momentum at the outer boundary reproduce the features of the so-called thick, thin, slim and other accretion disk models depending upon the accretion…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti

A hydrodynamic formulation for accretion flow channeled by a dipolar magnetic field is constructed using a curvi-linear coordinate system natural to the field structure. We solve the hydrodynamic equations and determine the velocity,…

Astrophysics · Physics 2007-05-23 J. B. G. Canalle , Kinwah Wu , Mark Cropper , Gavin Ramsay , Curtis Saxton

We show that there exists a maximal possible accretion rate, beyond which global slim disk solutions cannot be constructed because in the vertical direction the gravitational force would be unable to balance the pressure force to gather the…

Astrophysics · Physics 2011-02-11 Cheng-Liang Jiao , Li Xue , Wei-Min Gu , Ju-Fu Lu

We investigated accretion on to black holes in presence of viscosity and cooling, by employing an equation of state with variable adiabatic index and multi-species fluid. We obtained the expression of generalized Bernoulli parameter which…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Rajiv Kumar , Indranil Chattopadhyay

We write down and solve equations describing steady state, optically thin, advection-dominated accretion onto a Kerr black hole. The mean flow, described by the relativistic fluid equations, is axisymmetric and vertically averaged. The…

Astrophysics · Physics 2009-10-30 Charles F. Gammie , Robert Popham
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