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TECHNICAL PAPERS

Low-Gravity Sloshing in an Axisymmetrical Container Excited in the Axial Direction

[+] Author and Article Information
M. Utsumi

Machine Element Department, Research Institute, Ishikawajima-Harima Heavy Industries Company, Ltd. (IHI), 3-1-15 Toyosu, Koto-ku, Tokyo 135-0061, Japan

J. Appl. Mech 67(2), 344-354 (Jan 20, 2000) (11 pages) doi:10.1115/1.1307500 History: Received April 23, 1998; Revised January 20, 2000
Copyright © 2000 by ASME
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References

Figures

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Axisymmetrical container and coordinate systems
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Shape of meniscus for various Bond numbers and dimensionless z-coordinates of contact line
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Dimensionless eigenfrequency ω=ω*ch* (ω* is the dimensional eigenfrequency, ωch* is the characteristic frequency given by ωch*=(g*/b*)1/2)
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Dimensionless eigenfrequency ω=ω*ch* for the case Bo=0 (ω* is the dimensional eigenfrequency, ωch* is the characteristic frequency given by ωch*=[σ*f*(b*)3]1/2
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Comparison of the present and the previous results for the meniscus shape (78 percent, 50 percent, and 25 percent filling levels for Bo=1 and Bo=2; θc=5 deg; •, present analysis; – analysis by Dodge et al. 10
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Comparison of the present and the previous results for the eigenfrequency. (a) –, present analysis and theoretical prediction by Concus et al. 8 both for θc=0 deg; •, experiment by Coney and Salzman 17. (b) –, present analysis; •, experiment by Dodge and Garza 9.
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Dimensionless magnitude of liquid surface displacement |ζ| at (θ,φ,t)=(θ̄,0,10π/ω)
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Coefficient of excitation term Q in modal Eq. (56) normalized by its critical value Qcr
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Characteristic root s1 normalized by dimensionless eigenfrequency ω
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Results for the case Bo=0; (a) dimensionless magnitude of liquid surface displacement |ζ| at (θ,φ,t)=(θ̄,0,10π/ω); (b) coefficient of excitation term Q in modal Eq. (56) normalized by its critical value Qcr; (c) characteristic root s1 normalized by dimensionless eigenfrequency ω
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Virtual displacement δRM cos γM in direction normal to the meniscus M considered for derivation of Eq. (A1)
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Influence of contact angle on the eigenfrequency
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Value of 1/M, where M is area of meniscus
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Eigenfrequency shown as a function of the ratio [liquid volume]/[container volume] within the range zC≤1.9

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