Influence of Weight Parameters on Oscillation Characteristics of Supercavitating Vehicle

doi:10.12382/bgxb.2023.0489

Abstract

Abstract:

The influence of weight parameters on the oscillation characteristics of supercavitation vehicle is studied. A simulation model of the coupling of supercavitation flow field and rigid body motion is established by combining VOF multiphase flow model, realizable k-ε turbulence model, Schnerr-Sauer cavitation model and the rigid body motion equations. The proposed model is validated by comparing the simulated results with the published test results. The influences of mass and centroid position on the oscillation characteristics of supercavitation vehicle are quantitatively summarized by simulating and studying its free motion characteristics. The research findings reveal that the simulated results of the proposed simulation model are consistent with the experimental data, showing a 1/4 cycle phase difference between pitch and yaw angles. The oscillation period is approximately 0.0795 seconds with a deviation not exceeding 3.38%, indicating the reliability of the proposed simulation model. The free motion of supercavitating vehicle exhibits “cone-like” dynamic oscillation characteristics; With the decrease of the mass of the vehicle, the oscillation amplitude of attitude angle is basically unchanged, and the oscillation period of the trajectory gradually decreases. The oscillation period is decreased by 13.26% when the mass of the vehicle is decreased by 33.33%. The oscillation amplitude of attitude angle is gradually increased and the oscillation period of trajectory is decreased by decreasing the distance of mass center away from the cavitator. The oscillation period is decreased by 14.29% when the mass center distance is decreased by 25%.

Key words: supercavitating vehicle, weight parameter, oscillation period, supercavitation flow field

CLC Number:

TJ630.1

GUO Kaixin, HUANG Chuang, YAN Feng, GU Jianxiao, LI Daijin. Influence of Weight Parameters on Oscillation Characteristics of Supercavitating Vehicle[J]. Acta Armamentarii, 2024, 45(8): 2667-2677.

Figures/Tables 19

Fig.1 Profile of vehicle

Table 1 Parameters of vehicle models

模型编号	质心位置	质量/kg
1	42D_n	88
2	42D_n	99
3	42D_n	110
4	42D_n	121
5	42D_n	132
6	36D_n	110
7	39D_n	110
8	45D_n	110
9	48D_n	110

Fig.2 Computational domain and boundary conditions

Fig.3 Mesh model of vehicle

Fig.4 Comparison of cavitation profiles obtained by different grids

Fig.5 Comparison of cavity profiles obtained by numerical method and empirical formula

Fig.6 Comparison of test value and simulation value of pitch angle

Fig.7 Change of cavity shape of vehicle during a motion period

Fig.8 Dynamic process of attitude angles of supercavitating vehicle

Fig.9 Dynamic process of hydrodynamic angles of supercavitating vehicle

Fig.10 Dynamic processes of hydrodynamic force and moment coefficients of vehicle

Fig.11 Spatial oscillation curve of vehicle in steady motion

Fig.12 Spatial oscillation curve of the DC component filtered

Fig.13 Changing curves of pitch angle of supercavitating vehicle with different masses

Table 2 Oscillation periods of supercavitating vehicles with different masses

模型编号	振荡周期/s	姿态角振幅/(°)
1	0.0785	0.98
2	0.0810	1.09
3	0.0850	1.01
4	0.0865	0.97
5	0.0905	0.95

Fig.14 Comparison of theoretical and simulated values of oscillation period changing with mass

Fig.15 Changing curves of pitch angle of supercavitating vehicle with different mass centers

Table 3 Oscillation period of supercavitating vehicle with different mass centers

模型编号	振荡周期/s	姿态角振幅/(°)
6	0.0780	1.28
7	0.0810	1.14
3	0.0850	1.01
8	0.0875	0.82
9	0.0910	0.53

Fig.16 Comparison of theoretical and simulated values of oscillation period changing with mass centers

References 25

[1]	SOORAJ S, VAISHAKH C, ROBSON R S, et al. Super-cavitating flow around two-dimensional conical, spherical, disc and stepped disc cavitators[J]. IOP Conference Series: Materials Science and Engineering, 2017, 225(1): 012041.
[2]	LI Y G, WANG C, CAO W, et al. Motion characteristics simulations of supercavitating vehicle based on a three-dimensional cavity topology algorithm[J]. Applied Mathematical Modelling, 2023,115:691-705.
[3]	梁景奇, 徐保成, 王瑞, 等. 初速对高速射弹尾拍特性影响研究[J]. 弹箭与制导学报, 2020, 40(2): 130-139.
	LIANG J Q, XU B C, WANG R, et al. Study on the influence of initial velocity on the characteristics of high speed projectile tail-slapping[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2020, 40(2): 130-139. (in Chinese)
[4]	杨昊, 罗凯, 黄闯, 等. 水冲压发动机增压进水系统构型及性能研究[J]. 西北工业大学学报, 2023, 41(2):310-318.
	YANG H, LUO K, HUANG C, et al. Research on configuration and performance of water ramjet pressurized water intake system[J]. Journal of Northwestern Polytechnical University, 2023, 41(2):310-318. (in Chinese)
[5]	罗凯, 李代金, 黄闯. 超空泡航行技术的理论基础[M]. 北京: 科学出版社, 2016: 20-30.
	LUO K, LI D J, HUANG C. Theoretical basis of supercavitation navigation technology[M]. Beijing: Science Press, 2016: 20-30. (in Chinese)
[6]	LOGVINOVICH G V. Hydrodynamics of flows with free boundaries[J]. Naukova Dumka, 1969: 215.
[7]	LOGVINOVICH G V. Some problems in planing surfaces:2052[R]. Moscow, Russia: Central Aero and Hydrodynamics Institute, 1980: 3-12.
[8]	LUDAR A L, GANY A. Theoretical study of supercavitation bubble formation based on Gillespie's algorithm[J]. Journal of Marine Science and Engineering, 2023, 11(4):768.
[9]	KULKARNI S S, PRATAP R. Studies on the dynamics of a supercavitating projectile[J]. Applied Mathematical Modelling. 2000, 24(2): 113-129.
[10]	HASSOUNEH M A, NGUYEN V, BALACHANDRAN B, et al. Stability analysis and control of supercavitating vehicles with advection delay[J]. Journal of Computational and Nonlinear Dynamics, 2013, 8(2):021003.
[11]	时素果, 王亚东, 刘乐华, 等. 超空泡航行体运动过程尾部振荡流场试验研究[J]. 船舶力学, 2019, 23(8): 917-925.
	SHI S G, WANG Y D, LIU L H, et al. Experimental study on the trailing oscillation flow structure in the supercavitating vehicle motion[J]. Journal of Ship Mechanics, 2019, 23(8): 917-925. (in Chinese)
[12]	吕一品. 超空泡航行体非线性动力学特性与运动稳定性研究[D]. 南京: 南京理工大学, 2019.
	LÜ Y P. Nonlinear dynamics and motion stability of a supercavitating vehicle[D]. Nanjing: Nanjing University of Science & Technology, 2019. (in Chinese)
[13]	姚忠, 王瑞, 祁晓斌, 等. 初始扰动对高速射弹尾拍过程流体动力特性与弹道特性的影响[J]. 兵工学报, 2020, 41(增刊 1): 46-53.
	YAO Z, WANG R, QI X B, et al. Effect of initial disturbance on hydrodynamic and ballistic characteristics of high speed projectile tail-slap[J]. Acta Armamentarii, 2020, 41(S1): 46-53. (in Chinese)
[14]	HUANG C, LIU Z, LIU Z X, et al. Motion characteristics of high-speed supercavitating projectiles including structural deformation[J]. Energies, 2022, 15(5):1-18.
[15]	张亮, 胡常莉, 吴小安. 超空泡航行体锥段结构对其尾拍运动影响的数值研究[J]. 兵工学报, 2024, 45(3):828-836. doi: 10.12382/bgxb.2022.0744
	ZHANG L, HU C L, WU X A. Numerical study on the influence of the cone geometry of the supercavitating vehicle on its tail-slap motion[J]. Acta Armamentarii, 2024, 45(3):828-836. (in Chinese) doi: 10.12382/bgxb.2022.0744
[16]	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 simulation on the influence of cavitator shapes on the tail-slap of supercavitating projectiles[J]. Engineering Mechanics, 2020, 37 (4): 248-256. (in Chinese)
[17]	HUANG C, LUO K, DANG J J, et al. Spatial kinetics model of supercavitating vehicles reflecting conic-like oscillation[J]. Mathematical problems in Engineering, 2017, 2017:3671618.
[18]	罗凯, 左振浩, 许海雨, 等. 高弗劳德数通气超空泡流型迟滞特性数值仿真[J]. 哈尔滨工程大学学报, 2022, 43(4): 495-502.
	LUO K, ZUO Z H, XU H Y, et al. Numerical simulation of the hysteresis characteristics of ventilated supercavity with high Froude number[J]. Journal of Harbin Engineering University, 2022, 43(4): 495-502. (in Chinese)
[19]	SHIH T H, LIOU W W, SHABBIR A, et al. A new k-ε eddy viscosity model for high reynolds number turbulent flows[J]. Computers & Fluids, 1995, 24(3): 227-238.
[20]	古鉴霄, 党建军, 黄闯, 等. 衡重参数对超空泡射弹有效射程的影响[J]. 兵工学报, 2022, 43(6): 1376-1386. doi: 10.12382/bgxb.2021.0319
	GU J X, DANG J J, HUANG C, et al. Influence of weight parameters on the effective range of supercavitation projectile[J]. Acta Armamentarii, 2022, 43(6): 1376-1386. ( in Chinese) doi: 10.12382/bgxb.2021.0319
[21]	SCHNERR G H, SAUER J. Physical and numerical modeling of unsteady cavitation dynamics[C]// Proceedings of 4th International Conference on Multiphase Flow. New Orleans, LA, US: ICEM, 2001.
[22]	黄闯. 跨声速超空泡射弹的弹道特性研究[D]. 西安: 西北工业大学, 2017: 19- 26, 67-94.
	HUANG C. Research of trajectory characteristics of supersonic-supercavitating projectiles[D]. Xi'an: Northwestern Polytechnica University, 2017:19-26,67-94. ( in Chinese)
[23]	SNYDER D, KOUTSAVDIS E, ANTTONEN J. Transonic store separation using unstructured CFD with dynamic meshing[C]// Proceedings of the 33rd AIAA Fluid Dynamics Conference and Exhibit. Orlando, FL, US: AIAA, 2003.
[24]	LIU X Y, YUAN X L, LUO K, et al. Blockage effect of a wall on the hydrodynamic characteristics of a supercavitating vehicle's aft body[J]. Ocean Engineering, 2022, 256:111564.
[25]	陈诚. 超空泡航行器尾拍作用机理与动力学建模[D]. 西安: 西北工业大学, 2019.
	CHEN C. Investigation of the mechanism of tail slapping and dynamic modeling of supercavitating vehicles[D]. Xi'an: Northwestern Polytechnical University, 2019. (in Chinese)