Two Velocity Potential Descriptions for Fluid Sloshing in Moving Tanks and Their Equivalence Proof
Abstract: In the existing literature, there were two different velocity potential functions being used in the different engineering disciplines for describing the motions of ideal fluid in the moving tanks. The resulting equations of motion were not identical. However, the two different velocity potentials were both called “velocity potential function” in the different engineering disciplines. It might result in a theoretical confusion in the interdisciplinary researches. This issue seemed not being clarified in the existing literatures. This paper will respectively propose the “absolute velocity potential” and the “relative velocity potential” to establish the motion equations of fluid, and prove the equivalence of the two descriptions. For the earthquake engineering, the “absolute velocity poten-tial” and “relative velocity potential” are respectively suitable for describing the motions of fluids subjected to velocity and acceleration (seismic) excitations.
文章引用: 胡奇 , 李遇春 (2016) 移动容器中液体晃动的二种速度势描述及其等价性证明。 流体动力学， 4， 19-26. doi: 10.12677/IJFD.2016.42003
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