Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.260..323k&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 260, no. 2, p. 323-336.
Astronomy and Astrophysics
Astronomy
8
Accretion Disks, Flow Stability, Free Boundaries, Shear Flow, Two Dimensional Flow, Eigenvalues, Wentzel-Kramer-Brillouin Method
Scientific paper
Two-dimensional shear flows in the (R-z) and (theta-z) planes in thin accretion disks are studied. The vertical shear is set up by the resonant response of a disk with small tilt. It is shown that the flow is dynamically unstable, with growth rates in excess of about 0.1/Omega, corresponding to a growth time-scale of one orbital period at a given radius. Standard analytical results for the two-dimensional flow instability are extended to take the effect of finite-density free boundaries into account. Ray theory is used to trace the path of energy transport. A small-wavelength approximation (WKBJ) is used to study the energy transport and leakage which lead to instability. The behavior of longer wavelength modes is studied numerically, and interpreted in terms of mode coupling and wave action.
Coleman Colin S.
Kumar Sanjeev
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