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  • 1
    Publication Date: 2011-08-18
    Description: The problem of forced fluid vibrations in a partially filled spinning spherical tank is solved numerically by using the finite element method. The governing equations include Coriolis acceleration and spatially homogeneous vorticity. An exponential instability is detected in the present simulation for fill ratios below 0.5 and centrifugal acceleration to thrust ratios less than 1.7. This fictitious instability appears in the model as a result of the homogeneous vortex assumption since the free slosh equations are neutrally stable in the Liapunov sense.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: Journal of Sound and Vibration; 76; May 8
    Format: text
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  • 2
    Publication Date: 2019-06-27
    Description: The problem of forced fluid sloshing in a partially filled spinning spherical tank is solved numerically using the finite element method. The governing equations include Coriolis acceleration, empirical fluid damping and spatially homogeneous vorticity first introduced by Pfeiffer. An exponential instability similar to flutter is detected in the present simulation for fill ratios below 50 percent. This instability appears in the model as a result of the homogeneous vortex assumption since the free slosh equations are neutrally stable in the Liapunov sense.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-162725 , JPL-PUB-79-99
    Format: application/pdf
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  • 3
    Publication Date: 2019-07-13
    Description: The problem of liquid slosh in spinning containers represents an important factor in an analytical assessment of the destabilizing energy dissipation in dual spin spacecraft. The solution of the governing equations in this problem is involved due to the occurrence of the Coriolis term. Pfeiffer (1974) introduced the concept of homogeneous vorticity. Although the assumption is valid for completely filled ellipsoidal cavities, it is only an approximation for a partially filled cavity. On the basis of the results of a stability analysis, it appears that the assumption of homogeneous vorticity may be true for filling volumes more than 55%, while for lesser volumes this assumption cannot possibly be true, even approximately. Great care should then be taken in using Pfeiffer's model in flow problems involving intrinsic resonances.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: In: International Conference on Finite Elements in Flow Problems; Jun 10, 1980 - Jun 13, 1980; Alberta; Canada
    Format: text
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