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The stationary hydrodynamic equations for transonic viscous accretion discs in Kerr geometry are derived. The consistent formulation is given for the viscous angular momentum transport and the boundary conditions on the horizon of a central…

Astrophysics · Physics 2015-06-24 Jochen Peitz , Stefan Appl

Theoretical studies of transonic accretion onto black holes reveal a wide range of possible solutions, broadly classified into smooth flows and flows featuring shocks. Accretion solutions that involve the formation of shocks are…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Raj Kishor Joshi , Antonios Tsokaros , Sanjit Debnath , Indranil Chattopadhyay , Ramiz Aktar

We study viscous transonic accretion flows in vertical equilibrium in Kerr geometry. We employ the pseudo-Kerr formalism which accurately describes transonic flows around Kerr black holes and is applicable for modelling observational data.…

High Energy Astrophysical Phenomena · Physics 2024-10-01 Abhrajit Bhattacharjee , Sandip K. Chakrabarti

Spectral and timing properties of accretion flows on a black hole depend on their density and temperature distributions, which in turn come from the underlying dynamics. Thus, an accurate description of the flow which includes hydrodynamics…

High Energy Astrophysical Phenomena · Physics 2022-03-14 Abhrajit Bhattacharjee , Sandip K. Chakrabarti , Dipak Debnath

Analytical studies of black hole accretion usually presumes the stability of the stationary transonic configuration. Various authors in the past several decades demonstrated the validity of such an assumption for inviscid hydrodynamic flow.…

High Energy Astrophysical Phenomena · Physics 2015-12-29 Deepika B. Ananda , Soumini Chaudhury , Tapas K. Das , Ishita Maity , Sankhasubhra Nag

We present global solutions that describe advection-dominated accretion flows around black holes. The solutions are obtained by numerically solving a set of coupled ordinary differential equations corresponding to a steady axisymmetric…

Astrophysics · Physics 2009-10-28 Ramesh Narayan , Shoji Kato , Fumio Honma

Realization of the stationary integral solutions of steady state transonic accretion flow in spherical symmetry helps to understand accretion phenomena on various astrophysical objects. In recent years, attempts have been made to study…

High Energy Astrophysical Phenomena · Physics 2024-06-06 Souvik Ghose , Tapas K. Das

We formulate and solve the equations governing the transonic behaviour of a general relativistic black-hole accretion disc with non-zero advection velocity. We demonstrate that a relativistic Rankine-Hugoniot shock may form leading to the…

Astrophysics · Physics 2010-10-27 Tapas Kumar Das , Neven Bilic , Surajit Dasgupta

By applying the theory of algebraic polynomials and the theory of dynamical systems, we construct the generalized Sturm sequences/chains to investigate the transonic properties of hydrodynamic accretion onto non-rotating astrophysical black…

High Energy Astrophysical Phenomena · Physics 2012-02-13 Shilpi Agarwal , Tapas K. Das , Rukmini Dey

We study the relativistic viscous accretion flows around the Kerr black holes. We present the governing equations that describe the steady state flow motion in full general relativity and solve them in 1.5D to obtain the complete set of…

High Energy Astrophysical Phenomena · Physics 2019-07-17 I. Dihingia , Santabrata Das , Debaprasad Maity , Anuj Nandi

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 investigate the time evolution of sub-Keplerian transonic accretion flow onto a non-rotating black hole using axisymmetric viscous hydrodynamic simulations. We simulate the accretion flow using boundary values from semi-analytical…

High Energy Astrophysical Phenomena · Physics 2025-09-25 Sanjit Debnath , Indranil Chattopadhyay , Raj Kishor Joshi , Philippe Laurent , Priyesh Kumar Tripathi , M. Saleem Khan

We present a new geometrical approach to the study of accretion flows onto rotating (Kerr) black holes. Instead of Boyer-Lindquist coordinates, the standard choice in all existing numerical simulations in the literature, we employ the…

Astrophysics · Physics 2009-10-30 Jose A. Font , Jose M. Ibanez , Philippos Papadopoulos

We examine the effect of variable viscosity parameter ($\alpha$) in relativistic, low angular momentum advective accretion flow around rotating black holes. Following the recent simulation studies of magnetohydrodynamic disk that reveal the…

High Energy Astrophysical Phenomena · Physics 2023-12-27 Monu Singh , Santabrata Das

We investigate the time evolution of the transonic-viscous accretion flow around a non-rotating black hole. The input parameters used for the simulation are obtained from semi-analytical solutions. This code is based on the TVD routine and…

High Energy Astrophysical Phenomena · Physics 2024-01-17 Sanjit Debnath , Indranil Chattopadhyay , Raj Kishor Joshi

Theoretical models have long predicted the existence of shocks in multi-transonic accretion flows onto a black hole, yet their fate under realistic general relativistic simulations has not been fully tested. In this study, we present…

High Energy Astrophysical Phenomena · Physics 2025-12-03 Indu K. Dihingia , Akhil Uniyal , Yosuke Mizuno

We study global transonic solution for a relativistic, magnetized, viscous advective accretion flow around a rotating black hole, incorporating the effects of mass and angular momentum loss through winds. Our model considers dominant…

High Energy Astrophysical Phenomena · Physics 2026-04-17 Camelia Jana , Santabrata Das

We investigate the global structure of the advection dominated accretion flow around a Schwarzschild black hole where the accretion disc is threaded by toroidal magnetic fields. We consider synchrotron radiative process as an effective…

High Energy Astrophysical Phenomena · Physics 2017-11-29 Biplob Sarkar , Santabrata Das , Samir Mandal

We provide the complete set of global solutions of viscous transonic flows (VTFs) around black holes and neutron stars. These solutions describe the optically thick and optically thin flows from the horizon of the black hole or from the…

Astrophysics · Physics 2009-10-28 Sandip K. Chakrabarti

We investigated the instability of advective accretion flow as a consequence of angular momentum transfer in one-dimensional, quasi-spherical transonic accretion flow around a non-rotating black hole. The code is designed to include the…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-09 Seong-Jae Lee , Dongsu Ryu , Indranil Chattopadhyay
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