Computational Analysis of Cavity Flow Induced by High-speed Oblique Water-entry of Axisymmetric Body

doi:10.3969/j.issn.1000-1093.2019.02.013

Abstract

Abstract: The characteristics of cavity flow around a small moving body under the high-speed oblique water-entry are analyzed, and the Reynolds-averaged Navier-Stokes equations are solved for simulation. The computational method is validated by comparing the simulated results with the experimental results. The characteristics of multiphase flow during water-entry and the influence of entry angle on water-entry flow field are investigated based on the computational method. The results show that the moving body is subjected to large drag, lift, moment and impact in the impact phase; the hemisphere-like high pressure area moves from the lower part of nose tip to the center of nose tip as the moving body continues to penetrate; the direction of velocity of cavity wall points to water first and then the cavity; the small entry angle causes small drag coefficient and impact in the impact phase and trajectory deflection; and the cavity is subsequently pulled away and the maximum size of the cavity is large when the moving body enters the water at a small entry angle. Key

Key words: axisymmetricbody, high-speedobliquewater-entry, cavityflow, entryangle

CLC Number:

TV131.3⁺2

CHEN Chen, WEI Yingjie, WANG Cong. Computational Analysis of Cavity Flow Induced by High-speed Oblique Water-entry of Axisymmetric Body[J]. Acta Armamentarii, 2019, 40(2): 334-344.

References

［1］ WORTHINGTON A M, CLOE R S. Impact with a liquid surface studied by the aid of instantaneous phototgraphy［J］. Philosophical Transactions Royal Society of London, 1897, 189(A):137-148.
［2］ GILBARG D, ANDERSON R A. Influence of atmospheric pressure on the phenomena accompanying the entry of spheres into water［J］. Journal of Applied Physics, 1948, 19(2): 127-139.
［3］ MAY A, WOODHULL J C. The virtual mass of a sphere entering water vertically［J］. Journal of Applied Physics, 1950, 21(12): 1285-1289.
［4］ MAY A. Effect of surface condition of a sphere on its water-entry cavity［J］. Journal of Applied Physics, 1951, 22(10):1219-1222.
［5］ MAY A. Vertical entry of missiles into water［J］. Journal of Applied Physics, 1952, 23(12):1362-1372.
［6］ SHI H H, ITOH M, TAKAMI T, et al. Optical observation of the supercavition induced by high-speed water entry［J］. Journal of Fluids Engineering, 2000, 122:806-810.
［7］ SHI H H, TAKAMI T. Hydrodynamic behavior of an underwater moving body after water entry［J］. Acta Mechanica Sinica (English Series), 2001, 17(1):35-44.
［8］ TRUSCOTT T T. Cavity dynamics of water entry for spheres and ballistic projectiles［D］.Cambridge，Mass.，US：MIT, 2009.
［9］王云, 袁绪龙, 吕策. 弹体高速入水弯曲弹道实验研究［J］. 兵工学报, 2014, 35(12):1998-2002.
WANG Y, YUAN X L, L C. Experimental research on curved trajectory of high-speed water-entry missile［J］. Acta Armamentarii, 2014, 35(12):1998-2002. (in Chinese)

［10］ ERFANIAN M R, ANBARSOOZ M, RAHIMI N, et al. Numerical and experimental investigation of a three dimensional spherical-nose projectile water entry problem［J］. Ocean Engineering, 2015, 104:397-404.
［11］ ARISTOFF J M, TRUSCOTT T T, TECHET A H, et al. The water entry of decelerating spheres［J］. Physics of Fluids, 2010, 22(3):417-422.
［12］马庆鹏, 魏英杰，王聪, 等. 锥头圆柱体高速入水空泡闭合数值模拟研究［J］. 兵工学报, 2014, 35(9):1451-1457.
MA Q P, WEI Y J, WANG C, et al. Numerical simulation of deep closure of high-speed water entry cavity of cone-cylinder［J］. Acta Armamentarii, 2014, 35(9):1451-1457. (in Chinese)
［13］李永利, 刘安, 冯金富, 等. 航行器小角度入水跳弹过程研究［J］. 兵工学报, 2016, 37(10):1860-1872.
LI Y L, LIU A, FENG J F, et al. Research on ricochet process of small-angle water-entry vehicle［J］. Acta Armamentarii, 2016, 37(10):1860-1872. (in Chinese)
［14］孙钊, 曹伟, 王聪, 等. 表明润湿性对球体入水空泡形态的影响研究［J］. 兵工学报, 2016, 37(4):670-676.
SUN Z, CAO W, WANG C, et al. Effect of surface wettability on cavitation of sphere during its water entry［J］. Acta Armamentarii, 2016, 37(4):670-676. (in Chinese)
［15］孙钊, 曹伟, 王聪, 等. 半疏水-半亲水球体垂直入水空泡数值仿真研究［J］. 兵工学报, 2017, 38(5):968-977.
SUN Z, CAO W, WANG C, et al. Numerical investigation on water-entry cavity of half hydrophobic-half hydrophilic sphere［J］. Acta Armamentarii, 2017, 38(5):968-977. (in Chinese)
［16］胡明勇, 张志宏, 刘巨彬, 等. 低亚声速射弹垂直入水的流体与固体耦合数值计算研究［J］. 兵工学报, 2018, 39(3):560-568.
HU M Y, ZHANG Z H, LIU J B, et al. Fluid-solid coupling numerical simulation on vertical water entry of projectile at low subsonic speed［J］. Acta Armamentarii, 2018, 39(3):560-568. (in Chinese)
［17］ VALDI M H T, ATRECHIAN M R, SHALKOOHY A J, et al. Numerical investigation of water entry problem of pounders with different geometric shapes and drop heights for dynamic compaction of the seabed［J］. Geofluids, 2018(4):1-18.
［18］ JIANG C X, LI F C. Experimental and numerical study of water entry supercavity influenced by turbulent drag-reducing addtitives［J］. Advances in Mechanical Engineering, 2014(4):280643.
［19］ JIANG C X, SHUAI Z J, ZHANG X Y, et al. Numerical study on the transient behavior of water-entry supercavitating flow around a cylindrical projectile influenced by turbulent drag-reducing additives［J］. Applied Thermal Engineering, 2016, 104:450-460.
［20］王瑞琦, 黄振贵, 郭则庆, 等. 细长体射弹高速水平入水研究［J］. 弹道学报, 2017, 29(2): 47-53.
WANG R Q, HUANG Z G, GUO Z Q, et al. Study on horizontal water-entry of slender projectile with high-speed［J］. Journal of Ballistics, 2017, 29(2): 47-53.(in Chinese)
［21］ HURD R C, BELDEN J, JANDRON M A, et al. Water entry of deformable spheres［J］. Journal of Fluid Mechanics, 2017, 824:912-930.
［22］ LEE M， LONGORIA R G，WILSON D E. Cavity dynamics in high-speed water entry［J］. Physics of Fluids, 1997, 9(3):540-550.
［23］易文俊, 熊天红, 王中原, 等. 小型空化数下超空泡航行体的阻力特性试验研究［J］. 水动力学研究与进展, 2009, 24(1): 1-6.
YI W J, XIONG T H, WANG Z Y, et al. Experimental researches on drag characteristics of supercavitation bodies at small
cavitation number［J］. Journal of Hydrodynamics, 2009, 24(1): 1-6. (in Chinese)
［24］路中磊.开放空腔壳体入水过程多相流动特性研究［D］.哈尔滨：哈尔滨工业大学,2017:65.
LU Z L. Study on multiphase flow during water entry of semi-closed cylinder［D］. Harbin: Harbin Institute of Technology, 2017:65. (in Chinese)
［25］马庆鹏.高速射弹入水过程多相流场特性研究［D］.哈尔滨：哈尔滨工业大学,2014:27-31,76-103.
MA Q P. Investigation of multiphase flow characteristics induced by water entry of high-speed projectiles［D］. Harbin: Harbin Institute of Technology, 2014:27-31,76-103. (in Chinese)
［26］ CHEN C, MA Q P, WEI Y J, et al. Experimental study on the cavity dynamics in high-speed oblique water-entry［J］. Fluid Dynamics Research, 2018, 50(4): 045511.
［27］ MAY A. Water entry and the cavity-running behavior of missiles［R］.Silver Spring,MD,US:NAVSEA Hydroballistics Advisory Committee, 1975:207-208.

第40卷
第2期2019 年2月兵工学报ACTA
ARMAMENTARIIVol.40No.2Feb.2019

[1]	YANG Xiaoguang， DANG Jianjun, WANG Peng, WANG Yadong, CHEN Cheng, LI Deying. The Influence of Waves on the Impact Load during High-speed Water-entry of a Vehicle [J]. Acta Armamentarii, 2022, 43(2): 355-362.
[2]	HOU Yu， HUANG Zhengui， GUO Zeqing， CHEN Zhihua， LIU Rushi， LUO Yuchuan. Experimental Investigation on Shallow-angle Oblique Water-entry of a High-speed Supercavitating Projectile [J]. Acta Armamentarii, 2020, 41(2): 332-341.
[3]	ZHOU Hou-cun， XIANG Min， ZHANG Wei-hua. Numerical Research on Interaction between Control Surfaces and Main Cavity of Supercavitating Vehicles [J]. Acta Armamentarii, 2017, 38(5): 949-958.