科研之友
微信
新浪微博
Facebook
分享链接
摘要
Three new families of vessel geometries for the fundamental mode of two-dimensional sloshing are reported. These families, here denoted C1, C2 and C3, are parameterized by separation constant B. Containers C1 exist for 1 <= B <= infinity, containers C2 exist for 0 <= B <= 1, and containers C3 exist for 0 <= B <= infinity. The container shapes and their depth-dependent frequencies are found in analytical form. There is an affinity between the Cl and C3 families in that their limiting container profiles, found as B -> infinity, take the shape of identical isochronous containers. Also, there is an affinity between the Cl and C2 families in that their limiting B = 1 shapes asymptotically tend to a 90 wedge at low depth. The shapes of the containers are compared with the classic geometries for a rectangular box, a 90 wedge, and the planar isochronous container. The variation of sloshing frequencies with liquid depth is also compared with those of the three classic geometries.
- 出版日期2016-6
