Hamiltonianを用いた容器内二層流体の液面揺動（第2報，非線形時刻歴応答解析）

摘要

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, the governing equations and canonical form of a system of two fluids with a dynamic free surface and interface are given by applying Hamilton's principle. Moreover, the nonlinear ordinary differential system which governs liquid surface and interfacial wave motions is derived by using Dirichlet-Neumann operators and the generalized Fourier series expansion. Solving these ordinary differential system yields the time histories and the transitions of surface and interfacial wave motions in a rectangular tank. The validly of the theoretical analysis is verified through the experiments. The theoretical results are shown to be in good agreement with the experimental results.%Hamiltonianを用いた定式化により，容器内で層を 形成した二流体の液面揺動を支配する正準運動方程式 系を導出し，時刻歴応答解析を行った．今回得られた 知見は以下のとおりである．