Dynamical stability of two-dimensional accretion flows - an analytic study

Details Dynamical stability of two-dimensional accretion flows - an analytic study Dynamical stability of two-dimensional accretion flows - an analytic study

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...396..542g&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 542-548. Research supported by Space Telesco

Astronomy and Astrophysics

Astronomy

7

Accretion Disks, Active Galactic Nuclei, Black Holes (Astronomy), Dynamic Stability, Shear Flow, Astronomical Models, Eigenvectors, Ideal Fluids, Potential Flow, Transonic Flow

Scientific paper

The eigenvalue problem is solved for nonaxisymmetric normal modes (the Papaloizou-Pringle instability) in a 2D shearing flow with steady accretion. Asymptotic techniques are used to derive explicit expressions for eigenfunctions of the unstable models and their growth rate. These expressions make it possible to demonstrate the stabilizing effect of transonic accretion and to identify the physical cause of this stabilization.

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