A semi-analytical model has been developed for the analysisof the second-order liquid sloshing in a cylindrical storage tankbased on the potential flow theory. Numerical simulation hasbeen performed based on the developed model. The constitutecomponents, which are from the first-order interaction anddirectly due to the second-order velocity potential, respectively,both contribute importantly to the double-frequency surfaceelevation. Two distinct modes of the double-frequency surfaceelevation inside the cylindrical tank has been found. One ischaracterized by the alternative occurrence of obvious peaksand throughs in the circumferential direction. While, in theother one, the surface elevation has almost no variation in thecircumferential direction and the significant surface elevationcan be found at the center of the tank. It is also noted that thedouble-frequency surface elevation can be significantly largerthan the first-order surface elevation at specific wavefrequencies, which demonstrates the important second-ordereffects in the hydrodynamic analysis of a cylindrical tank.
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