Free oscillations and response of a viscous liquid in a rigid circular cylindrical tank

The natural damped frequencies and the response to translational excitation of a viscous liquid in a circular cylindrical container are obtained. The response of the liquid surface elevation above its equilibrium position, as well as the viscous liquid force in x-direction due to translational excitation in this direction have been numerically evaluated. In this analysis the side wall adhesive boundary conditions have been satisfied, while only the normal bottom condition has been observed. This makes the results of the analysis applicable to liquid height ratio h/a>1.