Effect of rotation on the stability of a gravitating cylinder

Details Effect of rotation on the stability of a gravitating cylinder Effect of rotation on the stability of a gravitating cylinder

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..83..209k&link_type=abstract

Astrophysics and Space Science, vol. 83, no. 1-2, Apr. 1982, p. 209-212. Research supported by the Council of Scientific and Ind

Astronomy and Astrophysics

Astrophysics

4

Astrophysics, Gravitational Effects, Magnetohydrodynamic Stability, Rotating Cylinders, Rotating Fluids, Angular Velocity, Axes Of Rotation, Fluid Pressure, Perturbation Theory

Scientific paper

The effect of a uniform rotation about the axis of a gravitating cylinder is investigated. Numerical solutions are presented for different values of rotation, showing the variation of the non-dimensional growth rate with the wave number. The system is found to be stable with respect to deformations with wave numbers exceeding the critical wave number, which increases with increase in the angular velocity. A comparison of curves indicates that the range of unstable wave numbers increases due to rotation, establishing its destabilizing influence.

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