Angular motion of a spinning projectile with a viscous liquid payload

Murphy, Charles H.

doi:10.2514/6.1982-1343

Cited by 17 publications

(15 citation statements)

References 7 publications

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“…Previous comparisons between computed pressures by Murphy 9 and Gerber et al 0 for high Reynolds numbers and this measurement system have been consistent. degrees.…”

supporting

confidence: 74%

Pressure Measurements in a Rapidly Rotating and Coning, Highly Viscous Fluid

Nusca¹,

D'Amico²,

Beims³

1983

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“…Previous comparisons between computed pressures by Murphy 9 and Gerber et al 0 for high Reynolds numbers and this measurement system have been consistent. degrees.…”

supporting

confidence: 74%

Pressure Measurements in a Rapidly Rotating and Coning, Highly Viscous Fluid

Nusca¹,

D'Amico²,

Beims³

1983

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“…Murphy 4 has shown that the average value of the liquid moment is increased by a reduction in Re. Hence, for a nonresonant cylinder, such as c/a -3/2, large Re behavior is stable while low Re behavior could be unstable.…”

Section: E Comparison With Flight Datamentioning

confidence: 99%

Instabilities of a gyroscope produced by rapidly rotating, highly viscous liquids

D'Amico

1984

Journal of Guidance, Control, and Dynamics

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Lov IDestroy this report when it is no longer needed. Do not return it to the originator..0Additional copies of this report may be obtained A series of experiments were conducted to determine the yaw behavior of a gyroscope that contained a liquid-filled rotor. Spin rates, liquid viscosities, 71aand cylinder geometries were selected to produce a wide range of Reynolds numbers (5 < Re < 12,000). Three cylinder aspect ratios (height/diameter) were tested: 111, 3/2, and 3/1. Coning frequencies for the free gyroscope were selected to be typical of spin-stabilized pro~ectiles. Two distinct types of yaw behavioi, wer'e observed with Reynolds number being the major controlling parameter. For Re > 1,000, the motion of the gyroscope was reasonably well predicted by classical liquid-filled shell theories that postulate a resonance between a natural frequency of the spinning liquid and the yaw frequency of the gyroscope. For these conditions the maximum yaw growth rate will occur when an eigenfrequency of the liquid is approximately equal to the gyroscope yaw frequency. For cases where Re < 1,000, the behavior of the gyroscope was not characterized by a resonant mechanism. Instead, the liquid-induced yaw moments and yaw growth rates grew monotonically with increasing yaw frequencies.

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“…i First order viscous boundary layer corrections to the Stewartson 1 theory were carried out by Wedemeyer 2 and Murphy. 3 A method for calculating the linear liquid moment using the full linear viscous equations with boundary layer corrections confined only to the endcanps was also presented by Hall and Sedney and Gerber 4,5 . A further interest to the army is to consider a series of uniform circular cylinders stacked end to end separated by impenetrable end-caps (candle-sticks).…”

Section: Introductionmentioning

confidence: 99%