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Although much research work has been performed on the liquid sloshing inside simple cylindrical vessels, this paper deals with the analysis of the liquid sloshing in the annular region of more intricate coaxial circular cylinders. In this analysis, by utilizing the velocity potential theory, the transient response was formulated as a boundary value problem in the axisymmetrical vessels when the sine wave in resonance with the sloshing of the primary mode was applied.

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