旋转轴对称容器内液体晃动问题的边界配点解  

THE COLLOCATION SOLUTION TO THE PROBLEM OF LIQUID SLOSHING IN AXISYMMETRIC TANKS

作　　者：周叮[1] 

机构地区：[1]华东工学院,南京210014

出　　处：《计算物理》1993年第2期251-256,共6页Chinese Journal of Computational Physics

摘　　要：研究重力场中绕铅直轴旋转对称容器内液体的晃动特性。首先在柱坐标系中建立液体线化速度势满足的波动方程,由分离变量法得其解析解,然后采用边界配点法确定速度势解的待定积分常数并得到频率方程,由计算机数值求出各阶频率参数,方法具有通用性好、计算量小和精度较高的特点。本文最后以球形和椭球形容器为例,给出了一些数值计算结果。This paper studies the sloshing characteristics of liquid in axisymmetric tanks along the vertical axis at gravity environment. First, the wave equation describing the potential velocity of liquid is established in cylindribal co-ordinates and the analytical solution of linearizing potential velocity of liquid is deduced by means of the separated variable method. Then, the unknown integral coefficients of the solution are determined by collocation method on boundary and the frequency equation is obtained. The frequency para-meters can be numerically given by means of computer. The method has the property of good generality, less calculating amount and higher accuracy compared with other methods. Finally, as examples, numerical results of spherical and ellipticl tanks are given.

关 键 词：容器 液体 晃动 轴对称体 解析解 

分 类 号：O353.1[理学—流体力学]