Abstract
When a container full of liquid spins about an unconstrained axis of rotation, the fluid motion within the container may cause an instability. It is observed Pocha [1] that for a cylinder rotating about its symmetry axis, the axis may begin to nutate with the nutation angle growing exponentially in time. Instabilities of this type have serious implications for modern satellites which have fuel tanks filled with liquid fuel. These satellites are often spin stabilized, and spin about their axis of least moment of inertia. Wobble in the spin axis can cause the satellite to point in the wrong direction (or worse to become completely unstable).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pocha, J.J. 1987. An experimental investigation of spacecraft sloshing. Space Communications and Broadcasting 5, 323–332.
Kelvin, Lord 1880. Vibrations of a columnar vortex. Phil. Mag. 10, 155–168.
McEwan, A.D. 1970. Inertial oscillations in a rotating fluid cylinder. J. Fluid Mech. 40, 603–640.
Johnson, L.E. 1967. The precessing cylinder. Notes on the 1967 Summer Study Program in Geophysical Fluid Dynamics at the Woods Hole Océanographie Institution, Ref. No. 67–54, 85–108.
Malkus, W.V.R. 1989. An experimental study of the global instabilities due to the tidal (elliptical) distortion of a rotating elastic cylinder. Geophys. Astro-phys Fluid Dynamics 48, 123–134.
Whiting, R.D. 1981. An experimental study of forced asymmetric oscillations in a rotating liquid filled cylinder. Ballistic Research Labs. Report No. ARBRL-TR-02376.
Manasseh, R., 1991. Inertia wave breakdown. Experiments in a precessing cylinder. PhD thesis U. Cambridge.
Manasseh, R. 1992. Breakdown regime of inertia waves in a precessing cylinder. Submitted to J. Fluid Mech.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Wien
About this chapter
Cite this chapter
Linden, P.F., Manasseh, R. (1992). Resonant Collapse. In: Hopfinger, E.J. (eds) Rotating Fluids in Geophysical and Industrial Applications. International Centre for Mechanical Sciences, vol 329. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2602-8_17
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2602-8_17
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82393-4
Online ISBN: 978-3-7091-2602-8
eBook Packages: Springer Book Archive