The stability of a rotating fluid cylinder as a figure of equilibrium

Details The stability of a rotating fluid cylinder as a figure of equilibrium The stability of a rotating fluid cylinder as a figure of equilibrium

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..870b&link_type=abstract

(Astronomicheskii Zhurnal, vol. 59, Sept.-Oct. 1982, p. 870-875) Soviet Astronomy (ISSN 0038-5301), vol. 26, Sept.-Oct. 1982, p.

Astronomy and Astrophysics

Astronomy

Astronomical Models, Flow Stability, Oscillations, Rotating Cylinders, Rotating Fluids, Equations Of Motion, Lagrange Coordinates, Motion Stability

Scientific paper

A theoretical analysis of the dynamics homogeneous of a fluid cylinder with a finite cross section is carried out for the case in which the Lagrangian coordinates of the particles depend linearly on the initial coordinates. It is shown that, under these conditions, the semiaxes of the section will be periodic functions of time; in particular, the system will not tend to disintegrate. The angular velocity of the section contour is determined. It is shown that, in the case of small oscillations, the lateral oscillations slow down as their amplitude increases. An important feature of the present study is that the problem of the lateral oscillations of the cylinder can be solved in quadratures.

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