Sloshing in Two Immiscible Fluids in the Presence of a Suppression Device

Abstract

The aim of the presented work is to compute sloshing frequencies. Two immiscible fluids of different densities are considered in a cylindrical tank. A rigid baffle is placed at the free surface of the upper fluid. The mathematical formulation is done by dividing the fluid domain into sub-domains. The mathematical formulation is done for each sub-domain to find the analytical solution in each sub-domain. The linear water wave theory is used to find the velocity potentials in each sub-domain. The effects of the fluid heights on the natural sloshing frequencies are studied. The findings are supported by relevant graphs.