This study addresses the sloshing characteristics of a liquid contained in a tank with a vertical baffle mounted at the bottom of the tank. Liquid sloshing characteristics are studied through an analytical solution procedure based on the linear velocity potential theory. The tank is forced to sway horizontally and periodically, while the baffle is fixed to the tank or rolling around a hinged point. The rectangular tank flow field is divided into a few sub-domains. The potentials are solved by a separate variable method, and the boundary conditions and matching requirements between adjacent sub-domains are used to determine the sole solution. The free surface elevations with no baffle or a low fixed baffle are compared with those in published data, and the correctness and reliability of the present method are verified. Then the baffle is forced to rotate around the bottom-mounted point. It is found that the baffle’s motion, including the magnitude and the phase together, can be adjusted to suppress the free surface elevation, and even the sloshing wave can be almost eliminated.

中文翻译：

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带滚动挡板的摇摆矩形储罐液体晃荡特性研究

该研究解决了在储罐底部安装有垂直挡板的储罐中所含液体的晃动特性。通过基于线速度势理论的解析求解程序研究液体晃荡特性。水箱被迫水平和周期性地摆动，而挡板固定在水箱上或围绕铰接点滚动。矩形罐流场分为几个子域。势通过单独的变量方法求解，并使用相邻子域之间的边界条件和匹配要求来确定唯一解。将无挡板或低固定挡板的自由面高程与公开数据进行对比，验证了本方法的正确性和可靠性。然后挡板被迫围绕底部安装点旋转。结果表明，可以通过调节挡板的运动，包括幅度和相位来抑制自由表面高程，甚至几乎可以消除晃动波。