Accretion onto a Black Hole in the Presence of Bremsstrahlung Cooling -   Parameter Space Study
  The dynamics of accretion onto a schwarzschild black hole is studied using Paczynski-Wiita pseudo newtonian potential. Steady state solution of the flow equations is obtained using thin disc approximation, including the effect of bremsstrahlung cooling in the energy equation. The topology of transonic solutions are got and the conditions for shock formation (Rankine-Hugoniot conditions) are checked. Shock and no-shock regions in the parameter space of accretion rate and specific angular momentum are identified. We motivate the time-dependent numerical simulation of the flow, as a candidate for explaining the quasi periodic oscillations observed in black hole candidates. 
Sivakumar G. Manickam and Sandip K. Chakrabarti