小攻角下船尾外形对旋转弹丸马格努斯效应影响的数值研究

doi:10.3969/j.issn.1000-1093.2017.09.006

摘要/Abstract

摘要： 为了研究小攻角下船尾外形对旋转弹丸马格努斯效应的影响，对不同船尾外形的旋转弹丸进行了数值模拟，得到了气动力及力矩随马赫数Ma、船尾角θ_t和船尾长度L_t与弹径D的比值Lt/D的变化。根据气动特性及流场结构,分析了船尾及马赫数对旋转弹丸马格努斯效应的影响,并研究了旋转弹丸马格努斯效应的产生机理。结果表明：在船尾段，由边界层位移厚度的非对称畸变所产生的沿z轴负方向的力随θ_t和L_t/D的增大而逐渐增大；由周向切应力非对称畸变所产生的沿z轴正方向的力沿x轴逐渐增大，随Ma的增大而逐渐增大，随θ_t和L_t/D的增大而逐渐减小；由沿弹体轴向和周向压力分布的非对称性所产生的沿z轴负方向的力随θ_t和L_t/D的增大而逐渐增大，并且在超声速时随Ma的增大而逐渐减小，在亚跨声速时随Ma的增大而逐渐增大。

关键词: 兵器科学与技术, 马格努斯效应, 船尾角, 船尾长度

Abstract: In order to study the influence of boattail on the Magnus effect of spinning projectile at small angles of attack, the configurations with various boattail angles (θt ) and lengths (L_t/D) are numerically simulated. The variations of the aerodynamic force and moment with Ma, θ_t and L_t/D are obtained. According to the aerodynamic characteristics and flow field structure, the effects of boattail on Magnus effect are studied in details，and the mechanism of the Magnus effect for spinning projectile is analyzed. The results show that component of Magnus force along -z direction increases with θ_t and L_t/D due to the asymmetric distortion of the boundary layer. Meanwhile, the force along z-direction due to the asymmetric circumferential shear stress distortion decreases gradually with θ_t and L_t/D, while increasing with Ma. The force along -z direction due to the asymmetric distortion of axial and circumferential pressures increases with θ_t , L_t/D, and Ma for Ma≥1, while decreasing with Ma for Ma<1. Key

Key words: ordnancescienceandtechnology, Magnuseffect, angleofboattail, lengthofboattail

中图分类号:

TJ011⁺.2

雷娟棉，张嘉炜，谭朝明. 小攻角下船尾外形对旋转弹丸马格努斯效应影响的数值研究[J]. 兵工学报, 2017, 38(9): 1705-1715.

LEI Juan-mian, ZHANG Jia-wei, TAN Zhao-ming. Influence of Boattail on the Magnus Effect of Spinning Non-finned Projectile at Small Angles of Attack[J]. Acta Armamentarii, 2017, 38(9): 1705-1715.

参考文献

［1］臧国才,李树常. 弹箭空气动力学[M]. 北京:兵器工业出版社, 1984:260-262.
ZANG Guo-cai, LI Shu-chang. Aerodynamics of projectiles and missiles[M]. Beijing: Publishing House of Ordnance Industry, 1984:260-262. (in Chinese)
[2］ Martin J C. On magnus effects caused by the boundary-layer displacement thickness on bodies of revolution at small angles of attack[J]. Journal of the Aeronautical Sciences, 1957, 24(6):421-429.
[3］雷娟棉, 吴甲生. 制导兵器气动特性工程计算方法[M]. 北京: 北京理工大学出版社, 2015: 219-221.
LEI Juan-mian, WU Jia-sheng. Engineering prediction methods of aerodynamics characteristics for guided weapon[M]. Beijing: Beijing Institute of Technology Press, 2015: 219-221. (in Chinese)
[4］ Vaughan H R, Reis G E. A Magnus theory for bodies of evolution［C］∥11th Aerospace Sciences Meeting. Washington, DC, US: AIAA, 1973.
[5］ Jacobson I D, Morton J B. Influence of boundary-layer stability on the Magnus effect[J]. AIAA Journal, 1973, 11(1):8-9.
[6］ Sturek W B,Mylin D C. Computational parametric study of the Magnus effect on boattailed shell at supersonic speeds[C]∥8th Atmospheric Flight Mechanics Conference. San Diego, CA,US: AIAA, 1981.
[7］ Graff G Y, Moore F G. Empirical method for predicting the Magnus characteristics of spinning shells [J]. AIAA Journal, 2012, 15(10):1379-1380.
[8］吴承清. 超音速旋转炮弹马格努斯特性的一种工程计算[J]. 兵工学报：弹箭分册, 1986(3)：26-36，69.
WU Cheng-qing. A kind of engineering method for calculating Magnus characteristics of supersonic spinning shells[J]. Acta Armamentarii: Projectiles and Rockets, 1986(3):26-36,69.(in Chinese)
[9］吴承清. 计算亚音速旋成体马格努斯特性的一种工程方法[J]. 兵工学报：弹箭分册，1990（1）：52-60.
WU Cheng-qing. An engineering method for calculating Magnus characteristics of subsonic body[J]. Acta Armamentarii: Projectiles and Rockets, 1990(1):52-60.(in Chinese)

[10］ Jenke L M. Experimental Magnus characteristics of ballistic projectiles with anti-Magnus Vanes at Mach numbers 1.5 through 2.5, AEDC-TR-73-120[R]. Tullahoma, TN, US: Arnold Engineering Development Center, Arnold Air Force Station, 1973.
[11］ Silton S I. Navier-stokes computations for a spinning projectile from subsonic to supersonic speeds[J]. Journal of Spacecraft and Rockets, 2005, 42(2):223-231.
[12］ DeSpirito J, Heavey K R. CFD computation of Magnus moment and roll damping moment of a spinning projectile, ARL-RP-131 [R]. RI, US: AIAA, 2006.
[13］ Despirito J, Plostins P. CFD prediction of M910 projectile aerodynamics: unsteady wake effect on Magnus moment[C]∥AIAA Atmospheric Flight Mechanics Conference and Exhibit. Hilton Head Island, SC， US： AIAA, 2007.
[14］ DeSpirito J. CFD prediction of Magnus effect in subsonic to supersonic flight [C]∥46th AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV, US: AIAA, 2008.
[15］苗瑞生, 吴甲生. 旋转弹空气动力学[J]. 力学进展. 1987, 17(4):479-488.
MIAO Rui-sheng, WU Jia-sheng. Aerodynamics of spinning projectiles[J]. Advances in Mechanics, 1987,14(4):479-488. (in Chinese)
[16］高旭东, 武晓松, 鞠玉涛. 分区算法数值模拟弹丸绕流流场[J]. 弹道学报, 2000, 12(4):45-48.
GAO Xu-dong, WU Xiao-song, JU Yu-tao. Numerical simulation of external flowfield over projectiles using zonal approach[J]. Journal of Ballistics, 2000, 12(4):45-48. (in Chinese)
[17］王智杰, 陈伟芳, 李洁. 旋转弹丸空气动力特性数值解法[J]. 国防科技大学学报, 2003, 25(4):15-19.
WANG Zhi-jie, CHEN Wei-fang, LI Jie. Numerical solution of the aerodynamic properties of the rotating projectiles[J]. Journal of National University of Defense Technology, 2003, 25(4):15-19. (in Chinese)
[18］薛帮猛，杨永.旋转弹丸马格努斯力数值计算[J]．弹箭与制导学报,2005,25(2):85-87.
XUE Bang-meng, YANG Yong. Numerical calculation of Magnus force acting on spinning projectile[J]. Journal of Projectiles, Rockets, Missiles and Guidance,2005,25(2):85-87. (in Chinese)
[19］雷娟棉，李田田，黄灿．高速旋转弹丸马格努斯效应数值研究[J]．兵工学报, 2013, 34(6):718-725．
LEI Juan-mian, LI Tian-tian, HUANG Can. A numerical investigation of Magnus effect for high speed spinning projectile[J]. Acta Armamentarii, 2013, 34(6):718-725．(in Chinese)
[20］马杰, 陈志华, 姜孝海,等. 高速旋转条件下的弹丸气动特性研究[J]. 弹道学报, 2015, 27(2):1-6.
MA Jie, CHEN Zhi-hua, JIANG Xiao-hai, et al. Aerodynamic characteristics of a projectile with high spinning speeds[J]. Journal of Ballistics, 2015, 27(2):1-6. (in Chinese)
[21］刘周, 谢立军, 杨云军,等. 弹丸旋转空气动力效应非定常数值模拟[J]. 航空学报, 2016, 37(5):1401-1410.
LIU Zhou, XIE Li-jun, YANG Yun-jun, et al. Unsteady numerical simulation of aerodynamics of a spinning projectile[J]. Acta Aeronautica et Astronautica Sinica, 2016,37(5):1401-1410. (in Chinese)
[22］吴甲生, 雷娟棉. 制导兵器气动布局与气动特性[M]. 北京: 国防工业出版社, 2008:79-80.
WU Jia-sheng, LEI Juan-mian. Aerodynamic configuration and characteristics of guided weapons[M]. Beijing: National Defense Industry Press, 2008:79-80. (in Chinese)

第38卷
第9期2017 年9月兵工学报ACTA
ARMAMENTARIIVol.38No.9Sep.2017

[1]	娄伟鹏，郑长松，李和言，陈建文，张周立，马源. 高速《Symbol》v湿式换挡离合器排油阀临界开启和关闭压力研究[J]. 兵工学报, 2017, 38(9): 1665-1672.
[2]	王宪成，杨绍卿，马宁，赵文柱. 车辆柴油机缸套动载荷磨损计算模型研究[J]. 兵工学报, 2017, 38(9): 1673-1680.
[3]	孙皓泽，常天庆，王全东，孔德鹏，戴文君. 一种基于分层多尺度卷积特征提取的坦克装甲目标图像检测方法[J]. 兵工学报, 2017, 38(9): 1681-1691.
[4]	张玉燕，孙莎莎，王振春，曹海要，战再吉. 高速载流电枢表面瞬态温度场仿真与测量[J]. 兵工学报, 2017, 38(9): 1692-1698.
[5]	李臣明，宦超，石怀龙. 某箱式火箭炮对面目标分布式杀伤最优火力分配[J]. 兵工学报, 2017, 38(9): 1699-1704.
[6]	李泽，闫晓鹏，栗苹，郝新红，王建涛. 扫频式干扰对调频多普勒引信的干扰机理研究[J]. 兵工学报, 2017, 38(9): 1716-1722.
[7]	张浩为，谢军伟，张昭建，宗彬锋，陈唐军. 基于混合自适应遗传算法的相控阵雷达任务调度[J]. 兵工学报, 2017, 38(9): 1761-1770.
[8]	李茂，侯海量，朱锡，黄晓明，李典，陈长海，胡年明. 结构间隙对芳纶纤维增强复合装甲结构抗侵彻性能的影响[J]. 兵工学报, 2017, 38(9): 1797-1805.
[9]	王鉴, 韩焱, 王黎明, 张丕状, 陈平. 弹丸在膛内运动的回波信号瞬时频率估计方法研究[J]. 兵工学报, 2017, 38(9): 1806-1814.
[10]	刘海鸥，张文胜，徐宜，赵梓烨. 基于核密度估计的履带车辆传动轴载荷谱编制[J]. 兵工学报, 2017, 38(9): 1830-1838.
[11]	姜缪文，闫健卓，陈继民. 基于拓扑优化技术的军用头盔内胆结构三维打印[J]. 兵工学报, 2017, 38(9): 1845-1853.
[12]	张磊，李世民，朱刚. 基于时间连续灰色Markov模型的维修器材需求预测方法研究[J]. 兵工学报, 2017, 38(9): 1862-1866.
[13]	张亚舟，李贞晓，程年恺，田慧，栗保明. 一种真空触发开关脉冲电源系统研究[J]. 兵工学报, 2017, 38(8): 1469-1475.
[14]	尹冬梅，肖宏成，栗保明. 基于三维梁理论的电磁轨道炮复合身管抗弯性能分析[J]. 兵工学报, 2017, 38(8): 1476-1482.
[15]	孔志杰，郝新红，栗苹，王哲. 基于时序及相关检测的调频引信抗扫频干扰方法[J]. 兵工学报, 2017, 38(8): 1483-1489.