﻿ 质心位置对超空泡射弹尾拍运动影响分析
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Analysis of the effect of mass center position on tailslap of supercavitating projectile
Zhao Chenggong, Wang Cong, Wei Yingjie, Ma Qingpeng
School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Abstract:The numerical simulation of the cavity morphology in supercavitating projectile tailslap was studied and the rigid body motion parameters and tail-slapping forces variations were comparatively analyzed under different mass centre positions of the supercavitating projectile, based on the theory of homogeneous equilibrium flows, by solving the Reynolds-averaged Navier-Stokes equations (RANS) of mixture fluid, shear stress transport (SST) turbulence transport equations and the mass transport equations between each phase, combined with rigid body motion equations and mesh deformation method. The result shows that the tail-slapping of the supercavitating projectile destroys the symmetry of cavity morphology, the cavity wall of the impact position develops along the direction of the projectile motion; the rotation angle, angular velocity, angular acceleration and tailslap force change periodically, and with the centroid position away from the head of the projectile, the larger the moment of inertia, the greater the period.
Key words: multiphase flow     supercavitating projectile     tailslap     mass centre position     tail-slapping force

1 数值计算方法 1.1 控制方程

1.2 湍流模型

SST湍流模型中的涡黏度限制方程为

1.3 空化模型

1.4 刚体运动方程与网格变形方法

2 计算模型与方法验证 2.1 计算模型与网格

 图 1 射弹模型 Fig. 1 Model of projectile

 参数 L/mm D/mm 密度ρs/(kg/m3) 转动惯量Iz/(kg·m2) 数值 160 8 7820 5.369×10-4

 图 2 计算域及边界条件设置 Fig. 2 Computational domain and boundary conditions

 图 3 计算域网格划分 Fig. 3 Mesh of computational domain
2.2 网格无关性验证

 图 4 不同网格精度下空泡闭合区域压力系数对比 Fig. 4 Comparison of pressure coefficient of cavity closure area with different mesh density

 图 5 不同网格数量下射弹头部附近压力系数对比 Fig. 5 Comparison of pressure coefficient of projectile head area with different mesh density
2.3 湍流模型选取

 图 6 不同湍流模型计算的射弹空化流场 Fig. 6 Comparison of the projectile cavitation flow field using different turbulence models

 图 7 不同湍流模型及独立膨胀原理所得空泡轮廓比较 Fig. 7 Comparison of cavity profiles using different turbulence models and principle of independence cavity section expansion

 图 8 不同湍流模型空泡闭合区域压力系数分布 Fig. 8 Comparison of pressure coefficient of cavity closure area using different turbulence models
3 计算结果与分析

 图 9 射弹不同质心位置示意图 Fig. 9 Schematic of different mass centers of projectile

 参数 I1 I2 I3 I4 数值 4.846 5.369 5.637 6.215
3.1 射弹尾拍运动的空泡形态分析

 图 10 射弹尾拍运动空泡形态变化 Fig. 10 Change of cavity shape due to tailslap of projectile

3.2 质心位置对射弹刚体运动的影响分析

 图 11 不同质心位置下的射弹转角变化 Fig. 11 Change of projectile rotation angle of different mass centers

 图 12 不同质心位置下的射弹转动角速度变化 Fig. 12 Change of projectile angular velocity of different mass centers

 图 13 不同质心位置下的射弹转动角加速度变化 Fig. 13 Change of projectile angular acceleration of different mass centers

 图 14 射弹尾拍周期随尾拍次数的变化 Fig. 14 Change of projectile tailslap cycle with tail-slaps numbers
3.3 质心位置对射弹尾拍力的影响分析

 图 15 不同质心下射弹尾拍阻力的变化 Fig. 15 ChangeChange of projectile tailslap resistance force of different mass centers

 图 16 不同质心下射弹尾拍升力的变化 Fig. 16 Change of projectile tailslap lift force of different mass centers

4 结 论

1) 超空泡射弹的尾拍运动将破坏空泡形态的对称性,弹体与空泡壁面发生碰撞的位置,空泡壁面朝着弹体转动的方向发展.

2) 超空泡射弹尾拍运动的转动角度、角速度和角加速度都表现出周期性.当射弹的质心位置越靠后,射弹的转动惯量越大时,射弹尾拍运动的转动角度、角速度和角加速度的周期越大.

3) 超空泡射弹尾拍运动时的尾拍阻力和尾拍升力都呈现出周期性,且射弹的质心越靠后,转动惯量越大,尾拍阻力和尾拍升力的变化周期也越大.

 [1] 孟庆昌,张志宏,刘巨斌,等.水下高速航行体超空泡流动研究进展[J].船海工程,2006(6):26-29 Meng Qingchang,Zhang Zhihong,Liu Jubin,et al.Research development of high-speed underwater vehicle[J].Journal of Marine Science and Application,2006(6):26-29(in Chinese) Cited By in Cnki (12) [2] Savchenko Y N.Control of supercavitation flow and stability of supercavitating motion of bodies[C]//VKI Special Course on Supercavitating Flows.Brussels:RTO2AVT and VKI,2001:313-341 [3] 孟庆昌,张志宏,顾建农,等.超空泡射弹尾拍分析与计算[J].爆炸与冲击,2009,29(1):56-60 Meng Qingchang,Zhang Zhihong,Gu Jiannong,et al.Analysis and calculation for tail-slaps of supercavitating projectiles[J].Explosion and Shock Waves,2009,29(1):56-60(in Chinese) Cited By in Cnki (23) [4] Kulkarni S S,Pratap R.Studies on the dynamics of a supercavitating projectile[J].Applied Mathematical Modeling,2000,24(2):113-129 Click to display the text [5] Ruzzene M,Soranna F.Impact dynamics of elastic stiffened supercavitating underwater vehicles[J].Journal of Vibration and Control,2004,10(2):243-267 Click to display the text [6] Ruzzene M,Kamada R,Bottasso C L,et al.Trajectory optimization strategies for supercavitating underwater vehicles[J].Journal of Vibration and Control,2008,14(5):611-644 Click to display the text [7] Savchenko Y N.Experimental investigation of supercavitating motion of bodies[C]//Van den Braembussche R.RTO AVT Lecture Series on“Supercavitating Flows”.Brussels:VKI,2001(4):1-24 [8] Vasin A D.Immersion of a cylinder in a fluid through a cylindrical free surface[J].Fluid Dynamics,2001,36(2):169-177 Click to display the text [9] Kubenko V D.Impact of a long thin body on a cylindrical cavity in liquid:a plane problem[J].International Applied Mechanics,2006,42(6):32-53 [10] Kubenko V D,Gavrilenko O V.Impact of a spherical rigid body on the surface of a cavity in a compressible liquid an axisymmetric problem[J].International Applied Mechanics,2008,44(1):8-15 Click to display the text [11] Kubenko V D,Gavrilenko O V.Impact interaction of cylindrical body with a surface of cavity during supercavitation motion in compressible fluid[J].Journal of Fluids and Structures,2009,25(5):794-814 Click to display the text [12] 曹伟,王聪,魏英杰,等.自然超空泡形态特性的射弹试验研究[J].工程力学,2006,23(12):175-187 Cao Wei,Wang Cong,Wei Yingjie,et al.High-speed projectile experimental investigations on the characteristics of natural supercavitation[J].Engineering Mechanics,2006,23(12):175-187(in Chinese) Cited By in Cnki (72) [13] 金大桥,王聪,魏英杰,等.通气超空泡水下射弹实验研究[J].工程力学,2011,28(9):214-222 Jin Daqiao,Wang Cong,Wei Yingjie,et al.Experimental study of ventilated supercavity by underwater projectile[J].Engineering Mechanics,2011,28(9):214-222(in Chinese) Cited By in Cnki (7) [14] 何乾坤,魏英杰,尤天庆,等.空泡摆动对超空泡航行体尾拍影响分析[J].北京航空航天大学学报,2012,38(4):509-512 He Qiankun,Wei Yingjie,You Tianqing,et al.Analysis of tail-slaps of supercavitating vehicle influenced by distortion of cavity shape[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(4):509-512(in Chinese) Cited By in Cnki (12) [15] Menter F R.Two-equation eddy-viscosity turbulence models for engineering applications[J].AIAA-Journal,1994,32(8):1598-1605 Click to display the text [16] Savchenko Y N,Semenenko V N,Serebryakov V V.Experimental study of the supercavitation flows at subsonic flow velocities[J].Doklady AN Ukrainy,1992,2(2):64-69

#### 文章信息

Zhao Chenggong, Wang Cong, Wei Yingjie, Ma Qingpeng

Analysis of the effect of mass center position on tailslap of supercavitating projectile

Journal of Beijing University of Aeronautics and Astronsutics, 2014, 40(12): 1754-1760.
http://dx.doi.org/10.13700/j.bh.1001-5965.2014.0014