微重环境下旋转对称贮箱内静液面方程Runge-Kutta数值解

计算物理 ›› 2000, Vol. 17 ›› Issue (3): 273-279.

微重环境下旋转对称贮箱内静液面方程Runge-Kutta数值解

程绪铎¹, 王照林²

1. 安庆师范学院物理系, 安徽安庆 246011;
2. 清华大学工程力学系, 北京 100084

收稿日期:1999-04-19 修回日期:1999-08-09 出版日期:2000-05-25 发布日期:2000-05-25
作者简介:程靖辟(1958~),副教授,硕士,主要从事动力学与控制等方面的研究.
基金资助:
国家自然科学基金资助项目(19332020)

THE EQUATION AND THE NUMERICAL ANALYSIS OF STATIC FLUID SURFACE IN REVOLVING SYMMETRICAL TANK UNDER LOW GRAVITY

CHENG Xu-duo¹, WANG Zhao-lin²

1. Physics Department, Anqing Teachers College, Anqing 246011, P R China;
2. Engineering Mechanics Department, Tsinghua University, Beijing 100084, P R China

Received:1999-04-19 Revised:1999-08-09 Online:2000-05-25 Published:2000-05-25

摘要/Abstract

摘要： 由力学平衡方程导出了旋转对称贮箱内静液面的二阶非线性常微分方程,接着具体推出了球腔、旋转椭球腔、柱面腔的边界接触角条件,最后使用Runge-Kutta法在计算机上得出了数值结果,绘出了静液面形状曲线,分析了算法特点。

关键词: 微重, 接触角, Bond数, 静液面形状

Abstract: By equilibrium equation of mechanics, the equation of static fluid surface in revolving symmtrical tank under low gravity has been derived. Boundary condition of contact angle is given. Finally, using Runge-Kutta method, numerical results are attained with the shape of static fluid surface drawn by the computer. Features of the computing method are analysed as well.

Key words: low gravity condition, contact angle, Bond number, shape of static liquid surface

中图分类号:

O351.2

程绪铎, 王照林. 微重环境下旋转对称贮箱内静液面方程Runge-Kutta数值解[J]. 计算物理, 2000, 17(3): 273-279.

CHENG Xu-duo, WANG Zhao-lin. THE EQUATION AND THE NUMERICAL ANALYSIS OF STATIC FLUID SURFACE IN REVOLVING SYMMETRICAL TANK UNDER LOW GRAVITY[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(3): 273-279.

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