Numerical investigations on propagating characteristics of shock waves in different triangle wedges

Zheng Chun; Chen Zhihua; Zhang Huanhao; Sun Xiaohui

doi:10.11883/1001-1455(2016)03-0379-07

Volume 36 Issue 3

Oct. 2018

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2016 > 36(3): 379-385

ZHANG Wenchao, WANG Shu, LIANG Zengyou, QIN Bin, LU Haitao, CHEN Xinyuan, LU Wenjie. A study of blast wave protection efficiency of helmet based on air flow field pressure analysis[J]. Explosion And Shock Waves, 2022, 42(11): 113201. doi: 10.11883/bzycj-2021-0411

Citation:

Zheng Chun, Chen Zhihua, Zhang Huanhao, Sun Xiaohui. Numerical investigations on propagating characteristics of shock waves in different triangle wedges[J]. Explosion And Shock Waves, 2016, 36(3): 379-385. doi: 10.11883/1001-1455(2016)03-0379-07

Citation:

PDF( 3091 KB)

Numerical investigations on propagating characteristics of shock waves in different triangle wedges

doi: 10.11883/1001-1455(2016)03-0379-07

1.
Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
Aerospace System Engineering, Shanghai 201109, China

Received Date: 2014-10-24
Rev Recd Date: 2015-01-22
Publish Date: 2016-05-25

Abstract

Abstract

The reflection and focusing of the shock wave propagating into a convergent tube can create a high-temperature and high-pressure region, which is significant for the detonation engine to induce the mixed combustible gases to detonate in ignition. Based on the N-S equations and combined with the five order WENO scheme, the phenomena of the shock wave reflection and focusing in the triangular wedge have been numerically simulated with the Mach number as 6. The numerical results reveal that the modification of the vertex angles has an obvious influence on the kind of shock reflection and the shock wave focusing. With the vertex angle getting bigger, the shock wave transforms from the Mach reflection to the transitional-Mach and the double-Mach reflections, and the jetting on the ramp surface becomes more evident. The high-temperature and high-pressure region generated after the first collision of the triple points can then satisfy the ignition condition of the mixed combustible gases. The temperature and the pressure will rise with the vertex angle getting bigger, and approach the maximum as the shock wave reaches the critical point of the double-Mach reflection on the wedge. However, the shock wave turns to the regular reflection on the wedge when the vertex angle exceeds the angle of the critical double-Mach reflection, and the triple points will not collide. Therefore, no high-temperature and high-pressure region is generated under this condition.
- mechanics of explosion,
- propagating characteristics,
- shock wave,
- triple point,
- Mach reflection,
- double Mach reflection,
- jet

FullText(HTML)

References(16)

References

[1]	Sha S, Chen Z, Jiang X. Influences of obstacle geometries on shock wave attenuation[J]. Shock Waves, 2014, 24(6):573-582. doi: 10.1007/s00193-014-0520-9
[2]	沙莎, 陈志华, 姜孝海.激波与障碍物作用加速衰减的数值研究[J].工程力学, 2014, 31(9):239-244. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx201409033 Sha Sha, Chen Zhihua, Jiang Xiaohai. Investigations into the accelerating attenuation of shock waves by obstacles[J]. Engineering Mechanics, 2014, 31(9):239-244. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx201409033
[3]	Zhang H, Chen Z, Sun X, et al. Numerical investigations on the thrust augmentation mechanisms of ejectors driven by pulse detonation engines[J]. Combustion Science and Technology, 2011, 183(10):1069-1082. doi: 10.1080/00102202.2011.582054
[4]	Chan C K. Collision of a shock wave with obstacles in a combustible mixture[J]. Combustion and Flame, 1995, 100(1/2):341-348. http://www.sciencedirect.com/science/article/pii/001021809400139J
[5]	Gelfand B E, Khomik S V, Bartenev A M, et al. Detonation and deflagration initiation at the focusing of shock waves in combustible gaseous mixture[J]. Shock Waves, 2000, 10(3):197-204. doi: 10.1007-s001930050007/
[6]	Bartenev A M, Khomik S V, Gelfand B E, et al. Effect of reflection type on detonation initiation at shock-wave focusing[J]. Shock Waves, 2000, 10(3):205-215. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=84898e087c6ed59c8a3738c81c405019
[7]	Setchell R E, Storm E, Sturtevant B. An investigation of shock strengthening in a conical convergent channel[J]. Journal of Fluid Mechanis, 1972, 56(3):505-522. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=S0022112072002484
[8]	Li H, Ben-Dor G. A shock dynamics theory based analytical solution of double Mach reflections[J]. Shock Waves, 1995, 5(4):259-264. doi: 10.1007/BF01419007
[9]	Li H, Ben-Dor G. Analysis of double-Mach-reflection wave configurations with convexly curved Mach stems[J]. Shock Waves, 1999, 9(5):319-326. doi: 10.1007/s001930050192
[10]	Li H, Ben-Dor G. Reconsideration of pseudo-steady shock wave reflections and the transition criteria between them[J]. Shock Waves, 1995, 5(1):59-73. doi: 10.1007-BF02425036/
[11]	Ben-Dor G, Vasilev E I, Henderson L F, et al. The wall-jetting effect in Mach reflection: A numerical investigation[C]//Proceedings of the 24th International Symposium on Shock Waves. Beijing, China, 2004: 461-466.
[12]	高云亮, 李进平, 胡宗民, 等.准定常强激波马赫反射波形的数值研究[J].空气动力学报, 2008, 26(4):456-461. http://d.old.wanfangdata.com.cn/Periodical/kqdlxxb200804008 Gao Yunliang, Li Jinping, Hu Zongmin, et al. A numerical investigation on the Mach reflection patterns of quasi-steady strong shock waves[J]. Acta Aerodynamica Sinica, 2008, 26(4):456-461. http://d.old.wanfangdata.com.cn/Periodical/kqdlxxb200804008
[13]	高云亮, 姜宗林.准定常强激波反射马赫杆突出变形准则的探讨[J].爆炸与冲击, 2009, 29(2):143-148. doi: 10.3321/j.issn:1001-1455.2009.02.006 Gao Yunliang, Jiang Zonglin. On transition criterion of Mach stem deformation for Mach reflections of pseudosteady strong shock waves[J]. Explosion and Shock Waves, 2009, 29(2):143-148. doi: 10.3321/j.issn:1001-1455.2009.02.006
[14]	孙晓晖, 陈志华, 张焕好.激波绕射碰撞加速诱导爆轰的数值模拟[J].爆炸与冲击, 2011, 31(4):407-412; doi: 10.11883/1001-1455(2011)04-0407-06 Sun Xiaohui, Chen Zhihua, Zhang Huanhao. Numerical investigations on detonation initiation accelerated by collision of diffracted shock waves[J]. Explosion and Shock Waves, 2011, 31(4):407-412. doi: 10.11883/1001-1455(2011)04-0407-06
[15]	孙晓晖, 陈志华, 张焕好, 等.激波绕射双方块加速诱导爆轰的数值研究[J].推进技术, 2011, 32(2):287-291. http://d.old.wanfangdata.com.cn/Periodical/tjjs201102024 Sun Xiaohui, Chen Zhihua, Zhang Huanhao, et al. Numerical investigations on detonation induced by diffracted shock waves of double square obstacles[J]. Journal of Propulsion Technology, 2011, 32(2):287-291. http://d.old.wanfangdata.com.cn/Periodical/tjjs201102024
[16]	王春, 司徒明, 韩肇元.用于爆震引燃的激波聚焦无反应流场数值模拟[J].推进技术, 2003, 24(2):156-159. doi: 10.3321/j.issn:1001-4055.2003.02.016 Wang Chun, Situ Ming, Han Zhaoyuan. Numerical investigations on cold flowfields of shock focusing for ignition of pulse detonation[J]. Journal of Propulsion Technology, 2003, 24(2):156-159. doi: 10.3321/j.issn:1001-4055.2003.02.016

Relative Articles

[1]	HU Yong, MA Tian, WANG Junlong, DU Zhibo, HUANG Xiancong, JI Haining, WEI Huilin, LIU Zhanli, KANG Yue. Shock wave detection and evaluation techniques for individual protection[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2024-0118
[2]	ZHANG Shizhong, LI Jinping, KANG Yue, HU Jianqiao, CHEN Hong. Generation of near-field blast wave by means of shock tube[J]. Explosion And Shock Waves, 2024, 44(12): 121434. doi: 10.11883/bzycj-2024-0204
[3]	LIU Di, CHEN Jing, ZHANG Anqiang, ZHAO Xiaodong, ZHANG Shuangbo, KANG Jianyi, LI Chaolong, ZENG Ling. Numerical simulation study on the protective effects of polyurea materials against lung blast injuries under blast wave loading[J]. Explosion And Shock Waves, 2024, 44(12): 121423. doi: 10.11883/bzycj-2024-0205
[4]	GUO Tongtong, GUO Yu, YU Jun, CHEN Juan, WANG Haikun, ZHANG Lunping. Rapid prediction and optimization method for protective effectiveness of flexibly supported plate structure under underwater explosive[J]. Explosion And Shock Waves, 2024, 44(10): 105101. doi: 10.11883/bzycj-2024-0068
[5]	LI Qinchao, YAO Chengbao, CHENG Shuai, ZHANG Dezhi, LIU Wenxiang. Application of the neural network equation of state in numerical simulation of intense blast wave[J]. Explosion And Shock Waves, 2023, 43(4): 044202. doi: 10.11883/bzycj-2022-0222
[6]	WANG Zhi, CHANG Lijun, HUANG Xingyuan, CAI Zhihua. Simulation on the defending effect of composite structure of body armor under the combined action of blast wave and fragments[J]. Explosion And Shock Waves, 2023, 43(6): 063202. doi: 10.11883/bzycj-2022-0515
[7]	HU Zhile, MA Liangliang, WU Hao, FANG Qin. Optimization and verification of mesh size for air shock wave from large distance and near ground explosion[J]. Explosion And Shock Waves, 2022, 42(11): 114201. doi: 10.11883/bzycj-2021-0499
[8]	KANG Yue, ZHANG Shizhong, ZHANG Yuanping, LIU Zhanli, HUANG Xiancong, MA Tian. Research on anti-shockwave performance of the protective equipment for the head of a soldier based on shock tube evaluation[J]. Explosion And Shock Waves, 2021, 41(8): 085901. doi: 10.11883/bzycj-2020-0395
[9]	LI Zhijie, YOU Xiaochuan, LIU Zhanli, DU Zhibo, ZHANG Yi, YANG Ce, ZHUANG Zhuo. Numerical simulation of the mechanism of traumatic brain injury induced by blast shock waves[J]. Explosion And Shock Waves, 2020, 40(1): 015901. doi: 10.11883/bzycj-2018-0348
[10]	ZHU Zhu, LUO Song, LU Bingju, YU Yong. Numerical simulation of multiphase flow field and trajectory of high-speed oblique water entry of rotating projectile[J]. Explosion And Shock Waves, 2019, 39(11): 113901. doi: 10.11883/bzycj-2018-0315
[11]	JIA Leiming, WANG Shufei, TIAN Zhou. A theoretical method for the calculation of flow field behind blast reflected waves[J]. Explosion And Shock Waves, 2019, 39(6): 064201. doi: 10.11883/bzycj-2018-0167
[12]	LI Haichao, WEI Lianyu, CHANG Chunwei. Experiment and numerical simulation of explosion compaction in loess[J]. Explosion And Shock Waves, 2018, 38(2): 289-294. doi: 10.11883/byzcj-2016-0251
[13]	Sun Huixiang, Lu Feng, Chi Weisheng, Kang Ting, Liu Yuanfei. Dynamic interaction between surrounding rock and initial supporting structure subjected to explosion shock wave[J]. Explosion And Shock Waves, 2017, 37(4): 670-676. doi: 10.11883/1001-1455(2017)04-0670-07
[14]	Li Li-sha, Du Jian-guo, Zhang Hong-hai, Xie Qing-liang. Numerical simulation of damage of brick wall subjected to blast shock vibration[J]. Explosion And Shock Waves, 2015, 35(4): 459-466. doi: 10.11883/1001-1455(2015)04-0459-08
[15]	ZHAO Yue-tang, LIANG Hui, FAN Bin. Numerical simulation of explosion wave propagation in the saturated soil[J]. Explosion And Shock Waves, 2007, 27(4): 352-357. doi: 10.11883/1001-1455(2007)04-0352-06
[16]	ZHANG Wei, MA Wen-lai, GUAN Gong-shun, PANG Bao-jun. Numerical simulation of non-spherical projectiles hypervelocity impact on spacecraft shield configuration[J]. Explosion And Shock Waves, 2007, 27(3): 240-245. doi: 10.11883/1001-1455(2007)03-0240-06
[17]	LIU Hong-yan, QIN Si-qing, YANG Jun. Simulation of rock failure by numerical manifold method under blasting load[J]. Explosion And Shock Waves, 2007, 27(1): 50-56. doi: 10.11883/1001-1455(2007)01-0050-07
[18]	HU Liu-qing, LI Xi-bing, GONG Sheng-wu. Simulation on dynamic response of crack subjected to impact loading[J]. Explosion And Shock Waves, 2006, 26(3): 214-221. doi: 10.11883/1001-1455(2006)03-0214-08
[19]	WANG Dai-hua, LIU Dian-shu, DU Yu-lan, LIU Hui-peng. Numerical simulation of anti-blasting mechanism and energy distribution of composite protective structure with foam concrete[J]. Explosion And Shock Waves, 2006, 26(6): 562-567. doi: 10.11883/1001-1455(2006)06-0562-06
[20]	TENG Hong-hui, ZHANG De-liang, LI Hui-huang, JIANG Zong-lin. Numerical investigation of detonation direct initiation induced by toroidal shock wave focusing[J]. Explosion And Shock Waves, 2005, 25(6): 512-518. doi: 10.11883/1001-1455(2005)06-0512-07

Supplements(0)

Cited By

Cited by

Periodical cited type(3)

1.	贾时雨，王成，徐文龙，马东，齐方方. 环形复合内衬头盔冲击波防护性能研究. 兵工学报. 2025(01): 60-69 .
2.	黄浩，崔海林，田晓丽，吴浩. 多孔结构对冲击波的衰减影响研究. 机械设计与制造工程. 2024(01): 11-15 .
3.	常利军，陈泰伟，王天昊，蔡志华. 弹体冲击载荷下头部损伤与防护研究进展. 兵器装备工程学报. 2024(07): 208-216 .