Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth
Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth
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DOI：
10.1017/s0022112089000923
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发表时间：
1989-04
影响因子：
3.7
通讯作者：
P. Mciver
中科院分区：
文献类型：
--
作者：
P. Mciver
考虑了水平圆柱形容器中流体的二维晃动和球形容器中流体的三维晃动。线性化的水波理论被用来确定自由振荡的频率在重力下的任意量的流体在这样的坦克。使用特殊的坐标系和问题制定的积分方程数值求解的特征值。详细的晃动频率的表格，提出了一系列的填充深度的容器。
The two-dimensional sloshing of a fluid in a horizontal circular cylindrical container and the three-dimensional sloshing of a fluid in a spherical container are considered. The linearized theory of water waves is used to determine the frequencies of free oscillations under gravity of an arbitrary amount of fluid in such tanks. Special coordinate systems are used and the problems are formulated in terms of integral equations which are solved numerically for the eigenvalues. Detailed tables of the sloshing frequencies are presented for a range of fill-depths of the containers.