The dynamical stability of differentially rotating discs. II

Details The dynamical stability of differentially rotating discs. II The dynamical stability of differentially rotating discs. II

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.213..799p&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 213, April 15, 1985, p. 799-820.

Statistics

Computation

184

Computational Astrophysics, Kelvin-Helmholtz Instability, Rotary Stability, Rotating Disks, Rotating Fluids, Angular Momentum, Equilibrium Equations, Shear Flow, Sound Waves

Scientific paper

A theoretical investigation of the dynamical stability of differentially rotating fluid tori of uniform entropy is extended to the case in which there is a gradient of specific angular momentum. The basic equations governing the equilibrium configurations of the tori are given, and the appropriate linear perturbation equations are derived. On the basis of the theoretical results, it is concluded that: (1) the dynamical instabilities found to exist in constant specific angular momentum tori persist in the present case; (2) the introduction of a gradient of specific angular momentum gives rise to additional unrelated Kelvin-Helmholtz-like instabilities; and (3) the general unstable mode of differentially rotating disks is a combination of the two types of instability.

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