摘要
运用基于能量守恒的空泡截面独立扩张原理和空泡内部气体质量守恒原理,建立轴对称细长体空泡的动力学数学模型。通过引入空泡发展时间间隔参量,将模型转化成关于此参量的非线性微分方程。并针对基本问题,对此方程做线化处理,得到空泡内部压力的小振动方程。采用四阶R-K方法对方程作数值求解,得出了非稳态空泡的振动频率特性,以及有体和无体两种情况下的空泡稳定性边界。所得出的结果对超空泡的稳定性研究提出了可供参照的量化条件,文中相关的数学推导将为有关人员提供一定的参考。
Based on the theory of energy conservation and the equation for the gas mass balance inside cavity, a dynamic model for axisymmetric thin cavity is developed. By introducing the time lag of cavity＇s development, the model is transformed into the non-linear differential equations about this parameter. For the basic problem, the equation for small pressure oscillations inside cavity is produced after linearization. The response curve of unsteady cavity and stability boundary is obtained based on R-K method. The results can be used to study quantitative condition of cavity stability. The deduction process in this paper may give help or support to related investigator.
出处
《船舶力学》
EI
北大核心
2006年第1期1-6,共6页
Journal of Ship Mechanics
基金
国防基础研究(J1300C004)
关键词
空泡
轴对称体
动力学模型
能量守恒
频率特性
cavity
axisymmetric bodies
dynamic model
energy conservation
dynamic properties
