Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-12-03
Astronomy and Astrophysics
Astrophysics
23 pages, 5 figures, to be published in MNRAS
Scientific paper
10.1046/j.1365-8711.1999.02340.x
The dynamics of a viscous accretion disc subject to a slowly varying warp of large amplitude is considered. Attention is restricted to discs in which self-gravitation is negligible, and to the generic case in which the resonant wave propagation found in inviscid Keplerian discs does not occur. The equations of fluid dynamics are derived in a coordinate system that follows the principal warping motion of the disc. They are reduced using asymptotic methods for thin discs, and solved to extract the equation governing the warp. In general, this is a wave equation of parabolic type with non-linear dispersion and diffusion, which describes fully non-linear bending waves. This method generalizes the linear theory of Papaloizou & Pringle (1983) to allow for an arbitrary rotation law, and extends it into the non-linear domain, where it connects with a generalized version of the theory of Pringle (1992). The astrophysical implications of this analysis are discussed briefly.
No associations
LandOfFree
The non-linear fluid dynamics of a warped accretion disc 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 non-linear fluid dynamics of a warped accretion disc, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The non-linear fluid dynamics of a warped accretion disc will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-208264