Spacecraft nutational instability prediction by energy-dissipation measurements

Garg, Subhash; Furumoto, Nanayo; Vanyo, James P.

doi:10.2514/3.20114

Cited by 22 publications

(7 citation statements)

References 4 publications

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“…The knowledge of the ow forced by a precessional motion is of critical importance in several domains. In aeronautics (see Stewartson 1958;Gans 1984;Garg et al 1986;Agrawal 1993;Bao & Pascal 1997;Lambelin et al 2009), the presence of a uid (such as a propellant liquid) inside a ying object (spacecraft, rocket, satellite...) can have dangerous consequences on the stability of this object. Indeed the presence of a weak precessing angle, due to a non-axisymmetry of the object, can lead to a large amplitude of the contained ow when it is resonant.…”

Section: Introductionmentioning

confidence: 99%

Precessional instability of a fluid cylinder

et al. 2011

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Section: Introductionmentioning

confidence: 99%

Precessional instability of a fluid cylinder

et al. 2011

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“…In the field of aerospace, the stability of spinning spacecraft containing propellant liquids is still a topical question. For instance, the attitude of spinning satellites (see Stewartson 1958;Gans 1984;Garg, Furunoto & Vanyo 1986;Agrawal 1993;Bao & Pascal 1997) is likely to be disrupted by the hydrodynamics of the fluid inside. Consequently, a good understanding of the behaviour of such a fluid-structure coupled system requires a precise knowledge of the dynamics of the rotating contained fluid.…”

Section: Introductionmentioning

confidence: 99%

A rotating fluid cylinder subject to weak precession

et al. 2008

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In this paper, we report experimental and theoretical results on the flow inside a precessing and rotating cylinder. Particle image velocimetry measurements have revealed the instantaneous structure of the flow and confirmed that it is the sum of forced inertial (Kelvin) modes, as predicted by the classical linear inviscid theory. But this theory predicts also that the amplitude of a mode diverges when its natural frequency equals the precession frequency. A viscous and weakly nonlinear theory has therefore been developed at the resonance. This theory has been compared to experimental results and shows a good quantitative agreement. For low Reynolds numbers, the mode amplitude scales as the square root of the Reynolds number owing to the presence of Ekman layers on the cylinder walls. When the Reynolds number is increased, the amplitude saturates at a value which scales as the precession angle to the power one-third for a given resonance. The nonlinear theory also predicts the forcing of a geostrophic (axisymmetric) mode which has been observed and measured in the experiments. These results allow the flow inside a precessing cylinder to be fully characterized in all regimes as long as there is no instability.

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“…Research on a precessionally driven geodynamo, since the middle 1970s, has been limited to research by Vanyo and co-workers, originally oriented toward the similar problem of liquid fuels in precessing spacecrafts (Garg, Furumoto & Vanyo 1986), empirical arguments by Dolginov (1986), and a recent paper by Kerswell (1993). The paper by Kerswell is the only published research, to date, to continue the early rigorous theoretical contributions of PoincarC, Bondi and Lyttleton, Roberts and Stewartson, and Busse. Attempts to solve the problem using sophisticated computers, which might help to accept or reject precession as a driving mechanism, have yet to appear.…”

Section: Introductionmentioning

confidence: 99%

Experiments on precessing flows in the Earth's liquid core

Vanyo

Wilde

Cardin

et al. 1995

Geophysical Journal International

108

120

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S U M M A R YExperiments simulating flow in the Earth's liquid core induced by luni-solar precession of the solid mantle indicate, to a first approximation, that the core behaves like a rigidized fluid sphere spinning slower than the mantle and with its spin axis lagging the mantle spin axis in precession. Secondary flow patterns are always present. At low precession rates the fluid sphere is subdivided into a set of cylinders coaxial with the fluid spin axis, the cylinders rotating alternately at slightly faster and slower rates relative to the net retrograde motion of the fluid as a whole.Slow non-axisymmetric columnar wave patterns develop between the differentially rotating cylinders. Axial flows between the spheroidal cavity boundary and the interior are observed. Fluid motion becomes turbulent only at precession rates large enough to cause the fluid spin axis to align nearly with the precession axis. There is no evidence that the Earth's liquid spin axis direction departs more than a fraction of a degree from geographic north. Our observations suggest precession induces a complex variety of laminar flows, including slowly varying and/or periodic patterns, in the Earth's liquid core.

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Spacecraft nutational instability prediction by energy-dissipation measurements

Cited by 22 publications

References 4 publications

Precessional instability of a fluid cylinder

Precessional instability of a fluid cylinder

A rotating fluid cylinder subject to weak precession

Experiments on precessing flows in the Earth's liquid core

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