Non-axisymmetric unstable modes in a thin differentially rotating gaseous disc

Details Non-axisymmetric unstable modes in a thin differentially rotating gaseous disc Non-axisymmetric unstable modes in a thin differentially rotating gaseous disc

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...240..191s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 240, no. 1, Dec. 1990, p. 191-202.

Astronomy and Astrophysics

Astrophysics

17

Accretion Disks, Gravitational Effects, Hydrodynamics, Perturbation Theory, Angular Momentum, Conservation Laws, Density (Mass/Volume), Modal Response, Vorticity

Scientific paper

The linear stability of a thin differentially rotating gaseous disk with reflecting boundaries against nonaxisymmetric perturbations is considered. The relevant conservation laws for the energy and angular momentum of linear nonaxisymmetric modes in a thin rotating disk without self-gravity are discussed, and the basic mode amplification mechanisms are illustrated with numerical solutions. How the frequency and growth rate of unstable modes depend on the distribution of the ratio of vorticity to surface density in the disk is investigated.

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