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Standing Rankine--Hugoniot Shocks in Black Hole Accretion Discs |
| GU Wei-Min; LU Ju-Fu |
| Department of Physics, Xiamen University, Xiamen 361005 |
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| Cite this article: |
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GU Wei-Min, LU Ju-Fu 2004 Chin. Phys. Lett. 21 2551-2554 |
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Abstract We study the problem of standing shocks in viscous disc-like accretion flows around black holes. For the first time we parametrize such a flow with two physical constants, namely the specific angular momentum accreted by the black hole j and the energy quantity K. By providing the global dependence of shock formation in the j-K parameter space, we show that a significant parameter region can ensure solutions with Rankine--Hugoniot shocks; and that the possibilities of shock formation are the largest for inviscid flows, decreasing with increasing viscosity, and ceasing to exist for a strong enough viscosity. Our results support the view that the standing shock is an essential ingredient in black hole accretion discs and is a general phenomenon in astrophysics, and that there should be a continuous change from the properties of inviscid flows to those of viscous ones.
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| Keywords:
98.61.Mw
97.60.Lf
95.30.Lz
96.50.Fm
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Published: 01 December 2004
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