Eigenfrequencies of inertial oscillations in a rotating fluid via a numerical simulation
Abstract
An understanding of the instability of a spinning liquidfilled projectile requires a knowledge of the wave system in the rotating fluid. The axisymmetric wave system in a cylinder is studied by a numerical simulation; the particular case of perturbed solid body rotation is treated. Finitedifference solutions to the NavierStokes equations provide data from which wave frequencies and damping can be extracted using Fourier transform and digital filter techniques. The frequency and damping are compared with the values computed from a linearized eigenvalue analysis. It is found that the latter can be used with confidence for Reynolds number as low as 1,000.
 Publication:

Final Report Army Armament Research and Development Command
 Pub Date:
 May 1983
 Bibcode:
 1983army.reptR....S
 Keywords:

 Eigenvalues;
 Liquid Filled Shells;
 Oscillations;
 Rotating Cylinders;
 Rotating Fluids;
 Damping;
 Digital Filters;
 Finite Difference Theory;
 Fourier Transformation;
 NavierStokes Equation;
 Projectiles;
 Fluid Mechanics and Heat Transfer