The stability of a differentially rotating cylinder of an incompressible perfect fluid

Details The stability of a differentially rotating cylinder of an incompressible perfect fluid The stability of a differentially rotating cylinder of an incompressible perfect fluid

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.234..107s&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 234, Sept. 1, 1988, p. 107-114.

Statistics

Computation

16

Computational Astrophysics, Ideal Fluids, Incompressible Fluids, Rotary Stability, Rotating Cylinders, Angular Velocity, Astronomical Models, Frequency Distribution, Perturbation Theory, Thin Walled Shells

Scientific paper

The stability criterion for differentially rotating fluid cylinders given by Goldreich, Goodman & Narayan is re-examined. A rotation law ofthe form Ω0 ∝ r-q is assumed for the unperturbed state, where Ω0, r and q are the angular velocity, the distance from the central star and a constant, respectively. The authors find that a cylinder of an incompressible fluid is unstable provided that the half thickness of the cylinder, a is finite. The growth rate of a small perturbation is proportional to a2 as long as a very low 3-q2.

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