Twisted accretion disks. III - The time-dependent equations

Details Twisted accretion disks. III - The time-dependent equations Twisted accretion disks. III - The time-dependent equations

Nov 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...226..253p&link_type=abstract

Astrophysical Journal, Part 1, vol. 226, Nov. 15, 1978, p. 253-263.

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26

Galactic Structure, Hydrodynamic Equations, Stellar Mass Accretion, X Ray Sources, Binary Stars, Disks (Shapes), Partial Differential Equations, Radial Velocity, Time Dependence, Twisting, Viscosity

Scientific paper

We derive the equations governing the time-dependent structure of a twisted thin accretion disk in which the planes of the disk rings differ from one another by no more than a small angle. The equations separate into a 'time-dependent twist-equation' which determines the orientation of the planes of the different disk rings, and a set of time-dependent flat (nontwisted) disk equations which determine the remaining structure of the disk. The twist-equation can be written in the form of two coupled differential equations of the diffusion type. We study some of its properties on the basis of a number of simple (but very restricted) examples of twisted disks. The possible importance of these properties for disks in X-ray binary systems, and for warped galactic disks, is mentioned.

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