Equilibrium models of differentially-rotating polytropic cylinders

Details Equilibrium models of differentially-rotating polytropic cylinders Equilibrium models of differentially-rotating polytropic cylinders

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.109...45v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 109, no. 1, Feb. 1985, p. 45-55. Sponsorship: Fonds de la Recherche Fondam

Statistics

Computation

Computational Astrophysics, Galactic Rotation, Rotating Cylinders, Stellar Rotation, Angular Velocity, Density Distribution, Equations Of State, Kelvin-Helmholtz Instability, Polytropic Processes

Scientific paper

The equilibrium structure of differentially rotating polytropic cylinders is determined numerically. The author sets n = 3 and uses a quadratic function for the law of differential rotation. He constructs different models by varying the angular velocity at the axis and the ratio of the angular velocity at the surface to the angular velocity at the axis. By taking a decreasing function for the rotation law he is able to treat models with an angular velocity at the axis greater than the break-up velocity of uniformly rotating cylinders. He also determines whether a Richardson-like criterion for stability is violated in the models.

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