Influence of Transverse Flow on a Supercavitating Projectile with Tail Fin during Water Entry

doi:10.12382/bgxb.2024.0192

Abstract

Abstract:

The cavity flow and ballistic characteristics of a supercavitating projectile with tail fin under the action of transverse flow when entering water are studied. The vertical water-entry process of the projectile under the transverse flow interference is numerically simulated by using the overlapping mesh technique and a 6DoF dynamic model, and the influence of transverse flow on the cavitation shape, hydrodynamic characteristics and trajectory characteristics of the projectile during water entry is analyzed. The results show that the effect of transverse flow restricts the radial development of cavitation bubble on the windward side, but promotes the expansion of cavitation bubble on the leeward side, shifting the overall cavitation shape along the flow direction. As a result, the wetted area of the windward shoulder and tail fin of projectile is increased, and the distribution of the pressure field near the wetted area is changed, making the amplitude frequency of the projectile’s tail fin beat much greater than that in the absence of transverse flow. The intensification of tail fin beat motion inside the cavitation bubble increases the lift/drag coefficient and accelerates the attenuation of the projectile velocity. Besides, the deflection of cavitation shape along the flow direction causes the swing amplitude of pitch angle on the leeward side to be greater than that on the windward side, thus resulting in a deviation of the ballistic trajectory. Therefore, the transverse flow significantly impacts the trajectory and attitude angle of projectile.

Key words: supercavitating projectile, tail fin, transverse flow, supercavitating characteristics, ballistic characteristics

CLC Number:

TJ67

LÜ Keyu, ZHANG Huanhao, JIN Xiaoyu, ZHAO Zijie, ZHOU Biaojun, LIU Xiangyan. Influence of Transverse Flow on a Supercavitating Projectile with Tail Fin during Water Entry[J]. Acta Armamentarii, 2025, 46(5): 240192-.

Figures/Tables 18

Fig.1 Computational mode

Table 1 Structural parameters of a projectile

尾翼直径/ mm	质量/ g	质心位置/ mm	I_xx/ (kg·m²)	I_yy/ (kg·m²)	I_zz/ (kg·m²)
22	160	113.2	2.56×10^-7	3.829×10^-5	3.829×10^-5

Fig.2 Symmetry plane grid in computational domain

Fig.3 Decay curves of water entry velocity and cavity outline of supercavitating projectile at different grid scales

Fig.4 y+ distribution on the projectile surface

Fig.5 Comparison of experimental and numerical results of cavity outline at different moments

Fig.6 Comparison of numerical and experimental results

Fig.7 The influence of transverse flow on the cavitation structure of projectile during vertical water entry

Fig.8 Cavity shape of projectile during vertical entry water

Fig.9 Wetting on the surface of projectile with and without transverse flow

Fig.10 Velocity vector distribution of flow field around the projectile with or without transverse flow influence

Fig.11 Influence of transverse flow on the water vapor content inside the cavity

Fig.12 Influence of transverse flow on the cavity evolution after projectile enter water

Fig.13 Influence of transverse flow on pressure distributionafter projectile enter water

Fig.14 Lift and drag coefficient variation during water entry with/without transverse flow

Fig.15 Attenuation curves of projectile velocity

Fig.16 Pitch moment coefficients of a projectile entering water with and without transverse flow

Fig.17 Pitch angle and centroid trajectory of a projectile entering water with and without transverse flow

References 25

[1]	李海东, 齐江辉, 吴述庆. 横流扰动下的鱼雷超空泡及水动力特性研究[J]. 兵器装备工程学报, 2021, 42(12): 117-122.
	LI H D, QI J H, WU S Q. Study on supercavitation and hydrodynamic characteristics of torpedo under cross-flow disturbance[J]. Journal of Ordnance Equipment Engineering, 2021, 42(12): 117-122. (in Chinese)
[2]	WANG M, FAN C Y, HOU G S. Numerical research of lateral flow influence on supercavitating flow[J]. AIP Advances, 2022, 12(4): 045214.
[3]	张程伟, 贾会霞, 周东辉, 等. 横流环境中高速射弹超空泡流及弹道特性数值分析[J]. 弹道学报, 2023, 35(2): 67-75.
	ZHANG C W, JIA H X, ZHOU D H, et al. Numerical analysis of supercavitation flow and ballistic characteristics of high-speed projectile in cross-flow environment[J]. Journal of Ballistics, 2023, 35(2): 67-75. (in Chinese)
[4]	LUNDSTROM E A, FUNG W K. Fluid dynamic analysis of hydraulic ram IV. (User’s Manual for Pressure Wave Generation Model)[R]. China Lake, CA, US: Naval Weapons Center, 1976.
[5]	SCHAFFAR M, REY C, BOEGLEN G. Behavior of supercavitating projectiles fired horizontally in a water tank: Theory and experiments. CFD computations with the OTi-HULL hydrocode[C]//Proceedings of the 35th AIAA Fluid Dynamics Conference and Exhibit.Toronto, ON, Canada:AIAA, 2005.
[6]	TRUSCOTT T T. Cavity dynamics of water entry for spheres and ballistic projectiles[D]. Cambridge, MA, US: Massachusetts Institute of Technology, 2009: 201-240.
[7]	张伟, 郭子涛, 肖新科, 等. 弹体高速入水特性实验研究[J]. 爆炸与冲击, 2011, 31(6): 579-584.
	ZHANG W, GUO Z T, XIAO X K, et al. Experimental study on high-speed water entry characteristics of projectile[J]. Explosion and Shock Waves, 2011, 31(6): 579-584. (in Chinese)
[8]	赵成功. 高速射弹非定常运动多相流场与弹道特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2017.
	ZHAO C G. Study on multiphase flow field and ballistic characteristics of unsteady motion of high-speed projectile[D]. Harbin: Harbin Institute of Technology, 2017. (in Chinese)
[9]	侯宇, 黄振贵, 郭则庆, 等. 超空泡射弹小入水角高速斜入水试验研究[J]. 兵工学报, 2020, 41(2): 332-341. doi: 10.3969/j.issn.1000-1093.2020.02.015
	HOU Y, HUANG Z G, GUO Z Q, et al. Experimental study on high-speed oblique entry of supercavitating projectile with small entry angle[J]. Acta Armamentarii, 2020, 41(2): 332-341. (in Chinese) doi: 10.3969/j.issn.1000-1093.2020.02.015
[10]	隋宇彤, 李帅, 明付仁. 截锥型弹体小角度入水空泡及冲击载荷特性实验研究[J]. 水动力学研究与进展A辑, 2022, 37(6): 861-866.
	SUI Y T, LI S, MING F R. Experimental study on cavity dynamic and impact load of shallow angle water entry of truncated-cone projectile[J]. Journal of Hydrodynamics A, 2022, 37(6): 861-866. (in Chinese)
[11]	HOU Y, HUANG Z G, CHEN Z H, et al. Experimental investigations on the oblique water entry of hollow cylinders[J]. Ocean Engineering, 2022, 266: 112800.
[12]	LIU H, ZHOU B, YU J W, et al. Experimental investigation on the multiphase flow characteristics of oblique water entry of the hollow cylinders[J]. Ocean Engineering, 2023, 272: 113902,
[13]	陈伟善, 郭则庆, 刘如石, 等. 空化器形状对超空泡射弹尾拍运动影响的数值研究[J]. 工程力学, 2020, 37(4): 248-256.
	CHEN W S, GUO Z Q, LIU R S, et al. Numerical study on the influence of cavitator shape on the tail flap motion of supercavitating projectile[J]. Engineering Mechanics, 2020, 37(4): 248-256. (in Chinese)
[14]	祁晓斌, 施瑶, 刘喜燕, 等. 阶梯式圆柱射弹小角度入水弹道特性研究[J]. 力学学报, 2023, 55(11): 2468-2479.
	QI X B, SHI Y, LIU X Y, et al. Study on trajectory characteristics of stepped cylindrical projectile entering water at small angle[J]. Chinese Journal of Theoretical Applied Mechanics, 2023, 55(11): 2468-2479. (in Chinese)
[15]	陈晨, 魏英杰, 王聪. 小型运动体高速倾斜入水空泡流动数值研究[J]. 兵工学报, 2019, 40(2): 334-344. doi: 10.3969/j.issn.1000-1093.2019.02.013
	CHEN C, WEI Y J, WANG C. Numerical study on cavitation flow of small moving body inclined into water at high speed[J]. Acta Armamentarii, 2019, 40(2): 334-344. (in Chinese) doi: 10.3969/j.issn.1000-1093.2019.02.013
[16]	曹雪洁, 胡俊, 于勇. 液体可压缩性对高速射弹超空泡流的影响[J]. 兵工学报, 2020, 41(增刊1): 72-78.
	CAO X J, HU J, YU Y. Effect of liquid compressibility on supercavitation flow of high-speed projectile[J]. Acta Armamentarii, 2020, 41(S1): 72-78. (in Chinese)
[17]	孙士明, 褚学森, 王志, 等. 带尾翼射弹跨水中声速斜入水初期弹道数值研究[J]. 船舶力学, 2023, 27(11): 1581-1593.
	SUN S M, CHU X S, WANG Z, et al. Numerical study on trajectory of projectile withfins in initial stage of oblique water entryat sound speed in water[J]. Journal of Ship Mechanics, 2023, 27(11): 1581-1593. (in Chinese)
[18]	杨衡, 孙龙泉, 刘莹, 等. 波流作用下圆柱体入水特性的三维数值模拟研究[J]. 船舶力学, 2015, 19(10): 1186-1196.
	YANG H, SUN L Q, LIU Y, et al. 3D numerical simulation on water entry of cylindrical under wave and stream action[J]. Journal of Ship Mechanics, 2015, 19(10): 1186-1196. (in Chinese)
[19]	余德磊, 王聪, 何超杰. 回转体并联入水过程空泡及运动特性数值模拟[J]. 哈尔滨工业大学学报, 2021, 53(12): 23-32.
	YU D L, WANG C, HE C J. Numerical simulation of cavitation and motion characteristics of rotating bodies entering water in parallel[J]. Journal of Harbin Institute of Technology, 2021, 53(12): 23-32. (in Chinese)
[20]	何超杰. 回转体并联入水过程流场及运动特性数值研究[D]. 哈尔滨: 哈尔滨工业大学, 2019.
	HE C J. Numerical study on characteristics of flow field and motions of the process of revolution bodies entering water in parallel[D]. Harbin: Harbin Institute of Technology, 2019. (in Chinese)
[21]	董天杨. 基于重叠网格技术运动体高速入水多相流动特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2020.
	DONG T Y. Study on multiphase flow characteristics of moving body entering water at high speed based on overlapping grid technology[D]. Harbin: Harbin Institute of Technology, 2020. (in Chinese)
[22]	LIU L X, CHEN Y, LI J. Investigation on cylinder water entry in regular wave field using large eddy simulation[J]. International Journal of Multiphase Flow, 2024, 173: 104759.
[23]	WANG C, HUANG Q G, LU L, et al. Numerical investigation of water entry characteristics of a projectile in the wave environment[J]. Ocean Engineering, 2024, 294: 116821.
[24]	刘如石, 郭则庆, 张辉. 尾部形状对超空泡射弹尾拍运动影响的数值研究[J]. 兵工学报, 2023, 44(10): 2984-2994. doi: 10.12382/bgxb.2022.0689
	LIU R S, GUO Z Q, ZHANG H. Numerical study on the influence of tail shape on the motion of supercavitating projectile tail racket[J]. Acta Armamentarii, 2023, 44(10): 2984-2994. (in Chinese)
[25]	CHEN T, HUANG W, ZHANG W, et al. Experimental investigation on trajectory stability of high-speed water entry projectiles[J]. Ocean Engineering, 2019, 175: 16-24.