变速运动锥体超空泡形状分析与预测

Analyse and prediction of supercavities' shape of cone cavitor with variable motion

研究了锥体空化器变速运动时非定常自然超空化流问题。基于势流理论,通过在对称轴上分布奇点(源和汇)的方法,建立了变速运动超空泡的积分方程。应用时间有限差分离散化方法,对问题进行了数值求解。分析了锥体空化器在做变速运动时(如速度脉冲变化、加速或减速等),超空泡长度和形状的非定常变化规律。同时,对基于本文方法得到的结果与已有理论的计算结果作了定性比较。本文的分析和预测结果可望为水下航行体空化器的分析与设计起到指导和数据参考作用。

The problem of unsteady natural supercavitating flow caused by slender cone cavitator with unsteady speed is investigated. Based on the theory of potential flow, the integral equations are established by distributing the singular points （i. e., source and sink} along the symmetrical axis. Some numerical results are obtained using finite difference time discretization method. The variation of unsteady cavity length and shape are analyzed when the cone cavitator in impulse motion, accelerating motion and decelerating motion, etc. The results obtained based on the present method are compared qualitatively with the known theoretical results. The analysis and prediction results obtained would be useful in the case of design and analysis for cavitator of under water body.