The frequency of inertial waves in a rotating, sectored cylinder
Abstract
An analysis of the inertial wave eigenfrequencies of a rapidly rotating liquid in a cylinder whose cross section is divided into four 90 deg sectors reveals that only if the cylinder height is less than the cylinder diameter can the fundamental frequencies be of the order of magnitude of the frequencies of spinstabilized projectiles. Hence, sectoring the usual long cavities in liquidfilled, spinstabilized projectiles will preclude the occurrence of a 'Stewartson' resonance.
 Publication:

ASME Journal of Applied Mechanics
 Pub Date:
 December 1976
 Bibcode:
 1976ATJAM..43..571S
 Keywords:

 Circular Cylinders;
 Liquid Filled Shells;
 Resonant Frequencies;
 Rotating Liquids;
 Spin Stabilization;
 Chemical Reactions;
 Cylindrical Shells;
 Eigenvalues;
 Inertia Principle;
 Liquid Flow;
 Nutation;
 Oscillating Flow;
 Rotating Cylinders;
 Vibration Mode;
 Fluid Mechanics and Heat Transfer