超声速圆盘空化器超空泡流动数值计算方法

摘要/Abstract

摘要： 以超空泡射弹为研究背景，为分析在超声速条件下水的压缩性对圆盘空化器超空泡流场的影响，基于理想可压缩流体势流理论，提出了一套有限体积数值计算方法.采用可压缩流体满足的连续性方程和Tait状态方程，结合Riabouchinsky超空泡闭合模式，提出了针对超空泡流场反问题的一种求解方法.根据超空泡表面不可穿透条件，设计了一种新的超空泡外形迭代方式.在解决超声速圆盘空化器超空泡流场计算问题的基础上，分析了压缩性对超空泡形态和阻力系数的影响.在超声速条件下（马赫数为1.0~1.2），流体压缩性将导致超空泡前后略微不对称，前端比尾端截面更窄，空泡最大截面略微向后移；在相同空泡数下，随着马赫数的增加，空泡长细比逐渐增加，压差阻力系数也不断增加.计算结果与经验公式及有关文献结果吻合较好.

关键词: 超声速, 射弹, 超空泡, 有限体积法, 势流, 流体力学

Abstract: To deal with the effect of compressibility on the supersonic supercavitating projectile, a finite volume method was presented based on the ideal compressible potential flow. A solution for the inverse problem of supercavitating flow was proposed using continuity equation and Tait state equation combining with Riabouchinsky closure model. A new iterative scheme about supercavity shape was designed according to the impenetrable condition. The compressibility effect on the supercavity shape and drag coefficient was analyzed on the basis of solving supersonic supercavitating flow over disk cavitator. Under the supersonic condition(Mach number is between 1.0 and 1.2), the fluid compressibility will make the supercavitation a slight asymmetry. The front section is narrower than the end of the section and the maximum supercavity section is slightly moved backward. The supercavity slenderness and pressure drag coefficient will raise with the increase of Mach number at constant cavitation number. The computational results are agree well with other result.

Key words: supersonic, projectile, supercavity, finite volume method, potential flow, fluid dynamics

中图分类号:

O 353.4

孟庆昌, 张志宏, 刘巨斌, 顾建农. 超声速圆盘空化器超空泡流动数值计算方法[J]. 上海交通大学学报（自然版）, 2011, 45(10): 1435-1439.

MENG Qing-Chang, ZHANG Zhi-Hong, LIU Ju-Bin, GU Jian-Nong. Numerical Method for Supercavitating Flow over Disk Cavitator of Underwater Supersonic Projectile[J]. Journal of Shanghai Jiaotong University, 2011, 45(10): 1435-1439.

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