Isentropic compression waves in black hole accretion and winds

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Compression Waves, Isentropic Processes, Shock Waves, Stellar Winds, Accretion Disks, Adiabatic Conditions, Compressible Flow, Mach Number, Supersonic Flow

Scientific paper

We present all the isentropic shock solutions for stationary, axially symmetric and rotating adiabatic flows of small transverse thickness in black hole potential. We classify the whole parameter space spanned by the accretion rate, energy and the angular momentum of the flow in terms of the number of shock solutions. We show that in some regions of the parameter space, as many as four such solutions exist for all of which the dissipation of energy remains the same but the shock strength varies. We calculate the shock locations and the shock strengths for the whole parameter space. We show that the shocks cannot be arbitrarily weak. The lower limit of shock strength is independent of any of the flow parameters, and depend solely upon the adiabatic index.

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