基于Logvinovich原理射弹超空泡形态解析解研究  

Researches on Analytical Solution of Projectile Supercavity Shape Based on Logvinovich ' s Principle

作　　者：李魁彬[1] 王安稳[1] 施连会[1] 邓磊[1] 

机构地区：[1]海军工程大学理学院,武汉430033

出　　处：《弹道学报》2013年第1期103-106,共4页Journal of Ballistics

基　　金：国家自然科学基金项目(10772196)

摘　　要：为快捷、简便地分析运动射弹的超空泡形态,利用Logvinovich原理、Riabouchinsky空泡闭合模型和射弹动力学方程,推导了射弹运动过程中空泡形态解析解和空泡参数的计算公式,得到了自然超空泡扩展的一些规律。计算结果与经验公式比较,吻合较好。算例分析表明:首尾压差对射弹速度影响较小,当射弹速度不小于100m/s,射弹在水中的深度不大于100m时,压差的影响可以忽略;完整空泡扩展时间非常短,且随着射弹运动时间增大而减小,逐渐趋于平缓;空泡数0.06、射弹速度60m/s左右时,超空泡开始蜕化为局部空泡。To quickly and conveniently study the supercavity shape of moving projectile, the analytical solution of the supercavity shape and formulae of cavity parameters in projectile motion were deduced based on Logvinovich＇s principle, Riabouchinsky scheme and the equation of motion. Some laws of natural supercavity expansion were obtained. The calculation results are consistent with the reported empirical formula. The example shows that the effect of pressure difference between the tip and the tail on the velocity of projectile is small. While the velocity of projectile≥100 m/s and the depth of projectile in the water≤100 m,the effects can be neglected. The expansion time of the complete cavity is very short. The time decreases as the motion time goes on. When cavitation number is about 0.06 and the velocity of projectile is about 60 m/s,the supercavity degenerates into partial cavity.

关 键 词：超空泡射弹 独立性原理 空泡形态 解析解 

分 类 号：O351.3[理学—流体力学]