Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988stin...8918283c&link_type=abstract
Unknown
Astronomy and Astrophysics
Astrophysics
Black Holes (Astronomy), Shock Waves, Standing Waves, Transonic Flow, Astrophysics, Mach Number
Scientific paper
We study the standing dissipative and non-dissipative shocks and the isentropic compression waves systematically in the thin, rotating, adiabatic astrophysical flows, such as accretion or winds, near the black holes and the neutron stars. The flow is assumed to be in transverse equilibrium and the dissipation is allowed only at the shocks. We classify the whole parameter space spanned by the accretion rate M, the energy E and the angular momentum lambda according to whether a shock solution can exist or not. Apart from conserving the baryon flux and the net momentum flux, flows at these discontinuities (collectively refered to as shocks) may conserve energy (Rankine-Hugoniot shocks), entropy (isentropic compression waves), or just be isothermal (isothermal shocks) according to three extreme physical processes which may take place near the shocks. We also show that for a given pre-shock and the post-shock parameters the shock locations are not unique. We derive an invariant Mach number relation at the shock and from this show that the shocks cannot be arbitrarily weak. The lower limit of the shock strength is independent of the initial parameters of the flow and the governing force field, but depends only upon the adiabatic index of the flow.
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