The effects of the contact angle on sloshing in containers

We determine the effects of a constant contact angle on (i) the natural slosh frequencies in rectangular and cylindrical containers, and (ii) the nonlinear sloshing in a two–dimensional rectangular container. In analysing the former we use perturbation and other methods to get some explicit results which are then checked and extended using a new modal method somewhat similar to that of Perko. The modal method is then used to calculate the nonlinear slosh response in (ii). It is seen that the response depends significantly on the contact angle.