Purpose

Sloshing is undesirable phenomenon and may invite instability in any type of tank partially filled with liquid. For a specially designed circular cylindrical container filled with an inviscid, incompressible, and homogenous liquid, if an annular baffle is attached to the outer cylinder wall in the annular region of the cylinder at some depth, the natural frequencies and the response of the liquid in the container undergo a drastic change. The purpose of this study is to report the sloshing modes and sloshing frequencies in the annular region of two coaxial vertical circular cylinders.

Methods

An introduction of a baffle divides the liquid region into four. Boundary value problems are set up for the potential in each of these regions, and with the help of the matching conditions across the virtual interfaces, we set up a system of linear equations by solving which we determine the natural frequencies.

Results and conclusions

The fundamental natural frequency of the liquid is determined for different width and positions of the baffle in addition to different configurations. It is observed that effect of baffle position on frequency is non-monotonic. It is also observed that when a baffle is placed nearer to the free surface, it has a greater significance on frequency. It is observed that frequency decreases with increasing baffle depth. The effect of the inner radius of the baffle on frequency is almost monotonic while with increasing inner radius of container, frequency increases monotonically. ANSYS is used to report the first modes of the sloshing. All our observations are supported by relevant graphs.

中文翻译：

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液域中带阻尼装置的环形刚性圆柱罐液体晃动研究

目的

晃动是不希望出现的现象，并且可能会导致部分装满液体的任何类型的储罐不稳定。对于专门设计的装有无粘性、不可压缩的均质液体的圆柱形容器，如果在圆柱体环形区域的外圆柱壁上在一定深度处安装环形挡板，则液体的固有频率和响应在容器发生了翻天覆地的变化。本研究的目的是报告两个同轴垂直圆柱体环形区域的晃动模式和晃动频率。

方法

挡板的引入将液体区域分成四个。为这些区域中的每个区域的势设置边界值问题，并借助虚拟界面上的匹配条件，我们通过求解确定自然频率来建立线性方程组。

结果和结论

除了不同的配置外，液体的基本固有频率是根据挡板的不同宽度和位置来确定的。据观察，挡板位置对频率的影响是非单调的。还观察到，当挡板靠近自由表面放置时，它对频率具有更大的意义。观察到频率随着挡板深度的增加而降低。挡板内径对频率的影响几乎是单调的，而随着容器内径的增加，频率单调增加。ANSYS 用于报告晃荡的第一阶模态。我们所有的观察都得到了相关图表的支持。