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The dynamical effect of inertial waves on the gyroscopic motion of a body containing several eccentrically located liquid-filled cylinders

Published online by Cambridge University Press:  29 March 2006

W. E. Scott
W. E. Scott
Affiliation:
Department of Earth and Planetary Sciences, Johns Hopkins University and Ballistic Research Laboratories, Aberdeen Proving Ground
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Abstract

A theoretical analysis is made of the effect described in the title. It is shown that both (i) the eigenfrequencies of the inertial waves and (ii) the moment produced by the inertial wave pressure distribution are independent of the location of the off-axis cylinders. Hence, one can use Stewartson's tables computed for a centrally located cylinder to calculate the frequencies and residues for an eccentrically located cylinder.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 161 - 165
Copyright
© 1973 Cambridge University Press

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References

Stewartson, K. 1959 The stability of a spinning top containing a liquid. J. Pluid Meek 5, 577–592.Google Scholar