Modal part analysis of slosh of the liquid in a cylindrical container in the case of small Bond number

Reconstruction of liquid free slosh modes by curved quiet free surface was investigated in the case of small Bond number by means of modal part analys is method in this paper. It is shown that the curved liquid quiet free surf ace would couple the modes to form new eigen-modes while the orthogonality of the modes which participate the liquid slosh are given only by their Bes sel modal parts and it would change their eigen-frequencies respectively wh ile the orthogonality are given by their triangle function modal parts. By studying the laterally forced slosh of the liquid in a cylindrical containe r based on the new eigen-modes, a characteristic of modes-choosing was foun d.