Dynamic sloshing in a rectangular vessel with porous baffles
Dynamic sloshing in a rectangular vessel with porous baffles
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DOI：
10.1007/s10665-024-10333-7
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发表时间：
2024-02
影响因子：
1.3
通讯作者：
M. R. Turner
中科院分区：
文献类型：
--
作者：
M. R. Turner
研究了流体-容器动力耦合系统中垂直多孔折流板的阻尼性能。该系统包括二维容器，具有矩形横截面，部分填充有流体，经历直线运动，多孔挡板阻碍流体运动。挡板刺穿流体的表面，因此该问题可以被认为是容器的单独的流体填充区域，由无限薄的多孔挡板连接，在该区域处应用基于达西定律的传输条件。流体被假定为无粘、不可压缩和无旋的，使得每个区域中的流动由速度势支配。达西定律在挡板处的应用是重要的，因为它使系统非保守，因此所得到的正常模式的特征方程导致耦合到移动容器的阻尼模式。特征方程的数值计算表明，最低频率模式通常具有最小的衰减率，因此将持续最长的实验设置。最低频率模式的最大衰减率发生在挡板将容器分成相同大小的区域时。
The damping efficiency of vertical porous baffles is investigated for a dynamically coupled fluid-vessel system. The system comprises of a two-dimensional vessel, with a rectangular cross-section, partially filled with fluid, undergoing rectilinear motions with porous baffles obstructing the fluid motion. The baffles pierce the surface of the fluid, thus the problem can be considered as separate fluid filled regions of the vessel, connected by infinitely thin porous baffles, at which transmission conditions based on Darcy’s law are applied. The fluid is assumed to be inviscid, incompressible and irrotational such that the flow in each region is governed by a velocity potential. The application of Darcy’s law at the baffles is significant as it makes the system non-conservative, and thus the resulting characteristic equation for the normal modes leads to damped modes coupled to the moving vessel. Numerical evaluations of the characteristic equation show that the lowest frequency mode typically has the smallest decay rate, and hence will persist longest in an experimental setup. The maximum decay rate of the lowest frequency mode occurs when the baffles split the vessel into identically sized regions.