## 留言板

 引用本文: 马云丽, 李家春. 底部形状对圆柱形港池中驻波的影响[J]. 应用数学和力学, 1990, 11(2): 111-118.
Ma Yun-li, Li Jia-chun. Effects of Bottom Topography on the Standing Waves in Circular Basins[J]. Applied Mathematics and Mechanics, 1990, 11(2): 111-118.
 Citation: Ma Yun-li, Li Jia-chun. Effects of Bottom Topography on the Standing Waves in Circular Basins[J]. Applied Mathematics and Mechanics, 1990, 11(2): 111-118.

## Effects of Bottom Topography on the Standing Waves in Circular Basins

• 摘要: 本文用摄动法讨论了具有不规则底部的圆柱形港池中的驻波.假设流体是无粘性、不可压、无旋的.为方便起见,采用柱坐标系.速度势、波形以及频率均以相应于振幅的小参数进行摄动展开,获得了轴对称波驻的分析解,当ω1=0时,算出了二阶频率.作为一个算例,取圆柱体底部为一轴对称抛物面,算出这种不规则底部对驻波产生灼影响.最后,对几何因素的影响进行了详细的讨论.
•  [1] Tadjbakhsh,I.and J.B.Keller,Standing surface waves of finite amplitute,J.Fluid Mech.,8(1960).442-451. [2] Mark,L.R.,Periodic,finite amplitute,axisymmetric gravity waves.J.Geo.Res.,67,2(1962),829-843. [3] Vanden-Broeck,J.M.,Nonlinear gravity-capillary standing waves in water of arbitrary uniform depth,J.Fluid Mech.,139(1984),97-104. [4] Li.J.C.,Standing waves of finite amplitute in nearly circular basins,Proceedings of ICNM.Shanghai,Science Press(1965),739-744．

##### 计量
• 文章访问数:  1303
• HTML全文浏览量:  12
• PDF下载量:  533
• 被引次数: 0
##### 出版历程
• 收稿日期:  1988-10-31
• 刊出日期:  1990-02-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈