Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.221..339g&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 221, July 15, 1986, p. 339-364.
Astronomy and Astrophysics
Astrophysics
129
Accretion Disks, Astrophysics, Dynamic Stability, Toruses, Corotation, Incompressible Flow, Inviscid Flow, Isentropic Processes, Modal Response, Perturbation Theory
Scientific paper
The principal branch of the dispersion relation of a slender torus is considered, and it is shown that the long-wavelength unstable modes of the two-dimensionally incompressible ribbon are coupled edge waves. Height-averaged fluid equations are used to estimate the growth rate as a function of q, n, and beta, and the governing equation for linear modes is reduced from a partial to an ordinary differential equation. Two-dimensional modes when n = 1/2 are solved, and the underlying physical mechanism of the instability modes of Papaloizou and Pringle (1985) is identified. The presence of corotation resonance is reflected by a singularity in the differential equation of the height-integrated system whenever there is a nonzero gradient of vorticity per unit surface density, and regions of parameter space are identified where both principal modes decay. For the special case q = 2, n = 0, the system is found to be unstable.
Goldreich Peter
Goodman Jeremy
Narayan Ramesh
No associations
LandOfFree
The stability of accretion tori. I - Long-wavelength modes of slender tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The stability of accretion tori. I - Long-wavelength modes of slender tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The stability of accretion tori. I - Long-wavelength modes of slender tori will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1655808