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(機械力学,計測,自動制御)

概要

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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, 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.
社団法人日本機械学会の論文
2007-11-25