Transonic Inviscid Disc Flows in the Schwarzschild Metric - Part One

Details Transonic Inviscid Disc Flows in the Schwarzschild Metric - Part One Transonic Inviscid Disc Flows in the Schwarzschild Metric - Part One

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.268..925k&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 268, NO. 4/JUN15, P. 925, 1994

Physics

28

Accretion, Accretion Discs - Black Hole Physics - Hydrodynamics

Scientific paper

The coupled hydrodynamic equations governing equatorial flows applicable to inviscid disc accretion in the Schwarzschild metric are solved analytically and numerically. Here, we concentrate on the transonic solutions, that represent physically allowed accretion on to black holes. A polytropic equation linking gas pressure and density is assumed, and solutions are obtained for different conditions, such as isothermal and adiabatic gas flows. The dependence of those solutions on the angular momentum is explored. Under certain conditions, when there exist multiple possible sonic points, the numerical simulation automatically zeros in to the unique transonic solution passing through one of the sonic points.

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