Sonic point instability in disc accretion and types of stress tensor

Details Sonic point instability in disc accretion and types of stress tensor Sonic point instability in disc accretion and types of stress tensor

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.260..317k&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 260, no. 2, p. 317-322.

Mathematics

Logic

11

Accretion Disks, Flow Stability, Saddle Points, Stress Tensors, Supersonic Flow, Reynolds Stress, Stellar Winds

Scientific paper

The stability of the sonic point in isothermal disc accretion is examined for the case in which the viscous stress has a diffusive form, rather than the form of the conventional Shakura-Sunyaev (1973) type alpha-model. The results show that the sonic point is always a saddle and always stable against small-amplitude perturbations, in contrast to the case of the alpha-model. The results suggest that the topological type of the sonic point and the stability of the point against small-amplitude perturbations are related for a wide range of problems: a saddle-type sonic point is stable, while a nodal one is unstable.

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