Liquid sloshing in the horizontal circular tanks with complex baffles

A semi-analytical hydrodynamic analysis based on the linear potential theory is introduced to study the liquid sloshing in horizontal circular cylindrical T-shaped baffled container using the novel scaled boundary finite element method (SBFEM). Via variational principle formulation, a system of ordinary differential equations for the determination of the unknown potential functions for the sloshing problem is obtained, which can be solved in a closed-form analytical manner. Moreover, another innovative solution for the inclusion of flow velocity along the baffles, which is called the side-faces of bounded domain in SBFEM, can also be analytically obtained. Two special T-shaped baffled configurations are considered including surface-piercing baffle and bottom-mounted baffle. Numerical examples show the accuracy and efficiency of the pro-posed method applied to the sloshing problems with baffles. The effects of parameters of baffles on the sloshing frequencies, the associated sloshing mode shapes and sloshing wave height are examined in details.