Dynamics of a Liquid-Filled Gyroscope: Update of Theory and Experiment
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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New comparisons are made between the theory of Stewartson, as modified by Wedemeyer, and existing experimental measurements of the motion of liquid-filled gyroscopes. Errors in previous comparisons are pointed out and corrected, as are some errors in several published presentations of the theory. Because some key parameters were not recorded during the experiments, complete comparisons of theoretical predictions with observed behavior cannot be made. The limited comparisons which can be made show that predicted and measured frequencies of greatest instability of the motion agree to within the experimental error the growth rates of these frequencies agree to within 10 for Reynolds number greater than 10 to the 4th power, and to within 25 for the lower Reynolds number.
- Fluid Mechanics