Simulation and Semi-Analytical Approach on Sloshing Mitigation

Free vibrations of liquid in the annular region of a rigid circular cylindrical container with a rigid baffle on the free surface are considered. The liquid inside the container is considered; ideal and incompressible, and the fluid motion is irrotational. In the above-considered geometry, along with assumptions made, the velocity potential is introduced, which satisfies Laplace’s equation inside the liquid domain. The boundary value problem (BVP) is formulated using the linear water wave theory. The analytical solution of BVP is obtained in terms of velocity potential with unknown frequency. The velocity potential is used in free surface conditions, which results in a system of homogeneous algebraic equations. The necessary condition for a non-trivial solution of this homogenous system is used to compute the frequencies. Mode shapes of the container in the presence of a rigid baffle are reported using ANSYS software.