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This paper deals with nonlinear liquid surface and interfacial wave motions in a tank containing two incompressible irrotational fluids of different densities. In theoretical analysis, we employ Hamiltonian formulation to derive a canonical equation of this system. The time histories and the transitions of surface and interfacial wave motions in a rectangular tank and circular cylindrical tank are given by solving the canonical equation of this system. Moreover, we have focused in particular on the N-Wave Resonant Interaction (NWRI) and investigated occurrence conditions of the NWRI. On the other hand, The validly of the theoretical analysis is verified through the experiments. These results are in good agreement with each other.

Hamiltonian Formulation of the Free Surface and Interface Motions in a Tank (3rd Report, N-Wave Resonant Interaction Caused by Nonlinearity of System)