Three-dimensional study of detonation cell in annular tube
-
摘要: 通过实验和三维数值模拟研究了爆轰波在环形管道内的传播。实验采用烟迹板记录了爆轰波的胞格结构。数值模拟基于带化学反应的三维Euler方程，采用五阶精度的WENO格式捕捉激波，采用具有TVD性质的三阶Runge-Kutta法处理时间项，并结合并行技术，对爆轰波的传播进行了数值研究。结果表明，环形管道外壁为收敛壁面，由于其对流场的压缩效应，外壁面及附近的胞格较小，且较均匀。而内壁为发散壁面，其对流场起稀疏效应，内壁面及附近的胞格较大，且呈周期性变化。同时, 不同壁面的胞格结构均出现了拍波(slapping wave)，其形状呈弯曲的折线。Abstract: In this work we carried out experimental and 3D numerical study of cellular structure of detonation propagating in an annular tube. Detonation cellular patterns were recorded using a smoked foil. Based on the 3D reactive Euler equations with the one-step irreversible Arrhenius kinetics model, detonation propagation of hydrogen/air mixture in an annular tube was investigated numerically. Fifth-order weighted essentially non-oscillatory (WENO) scheme and third-order TVD Runge-Kutta were used to discretize the spatial derivatives and the time term, respectively. Moreover, parallel technology was also adopted. The results indicate that the outer wall of the annular tube is the convergent wall, which reduces the cell sizes of the outer wall and makes it more uniform due to its compression. However, the inner wall of the annular tube is the divergent wall, which enlarges the cell sizes of the inner wall and leads to its periodical variation due to its expansion. Simultaneously, slapping waves appear in all the tube walls and its shape is a bent line.
-
图 3 爆轰波ZND结构中的化学反应度分布图
Figure 3. Reaction progress distribution in ZND detonation structure
图 4 环形管道顶部的爆轰胞格结构
Figure 4. Cellular structure of detonation on top wall of annular tube
-
[1] White D, Cary K. Structure of gaseous detonation. Ⅱ. Generation of laminar detonation[J]. Physics of Fluids, 1963, 6(5):749-750. doi: 10.1063/1.1706806 [2] Strehlow R. Multi-dimensional detonation wave structure[J]. Astronaut Acta, 1970, 15(5):345-357. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ0221950248/ [3] Lee J H, Oppenheim A K. Current views on gaseous detonation[J]. Astronaut Acta, 1969, 14(5):565-584. http://cn.bing.com/academic/profile?id=08a36a70a77bda201ed682f788665002&encoded=0&v=paper_preview&mkt=zh-cn [4] Hanana M, Lefebvre M, Tiggelen P. Pressure profiles in detonation cells with rectangular and diagonal structures[J]. Shock Waves, 2001, 11(2):77-88. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=87bd38054f08611c7ff1b35dd97c13bb [5] Bourlioux A, Majda A, Roytburd V. Theoretical and numerical structure for unstable one-dimensional detonations[J]. SIAM Journal on Applied Mathematics, 1992, 90(3/4):211-229. doi: 10.1137-0151016/ [6] Bourlioux A, Majda A. Theoretical and numerical structure for unstable two-dimensional detonations[J]. Combustion and Flame, 1991, 51(2):303-343. http://cn.bing.com/academic/profile?id=af9ba3b92eede5a73530ea72effc5150&encoded=0&v=paper_preview&mkt=zh-cn [7] Gamezo M, Desbordes D, Oran E. Formation and evolution of two-dimensional cellular detonations[J]. Combustion and Flame, 1999, 116(1/2):154-165. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=90fb6e767e5b2de682b0cf4d7a61585a [8] Williams D, Bauwens L, Oran E. Details structure and propagation of three-dimensional detonations[J]. Proceedings of the Combustion Institute, 1996, 26:2991-2998. doi: 10.1016/S0082-0784(96)80142-1 [9] Deledicque V, Papalexandris M. Computational study of three-dimensional gaseous detonation structures[J]. Combustion and Flame, 2006, 144(4):821-837. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0c68712266ef5bd96298f873c8673fca [10] Dou H, Tsai H, Khoo B, et al. Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme[J]. Combustion and Flame, 2008, 154(4):644-659. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1006.1218 [11] Wang C, Shu C, Han W, et al. High resolution WENO simulation of 3D detonation waves[J]. Combustion and Flame, 2013, 160(2):447-462. doi: 10.1016/j.combustflame.2012.10.002 [12] Huang Y, Ji H, Lien F, et al. Numerical study of three-dimensional detonation structure transformation in a narrow square tube: From rectangular and diagonal modes into spinning models[J]. Shock Waves, 2014, 24(4):375-392. doi: 10.1007/s00193-014-0499-2 [13] 张旭东, 范宝春, 潘振华, 等.旋转爆轰胞格结构的实验及数值研究[J].爆炸与冲击, 2011, 31(4):337-342. doi: 10.11883/1001-1455(2011)04-0337-06Zhang Xudong, Fan Baochun, Pan Zhenhua, et al. Experimental and numerical investigation on cellular patterns of rotating detonations[J]. Explosion and Shock Waves, 2011, 31(4):337-342. doi: 10.11883/1001-1455(2011)04-0337-06 [14] Zhang X D, Fan B C, Pan Z H, et al. Experimental and numerical study on detonation propagating in an annular cylinder[J]. Combustion Science and Technology, 2012, 184(10/11):1708-1717. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=10.1080/00102202.2012.690622 [15] 王昌建, 徐胜利, 费立森.等.弯管内爆轰波传播的流场显示和数值模拟[J].力学学报, 2006, 38(1):9-15. doi: 10.3321/j.issn:0459-1879.2006.01.002Wang Changjian, Xu Shengli, Fei Lisen, et al. Schlieren visualization and numerical simulation on gaseous detonation propagation through a bend tube[J]. Journal of Theoretical and Applied Mechanics, 2006, 38(1):9-15. doi: 10.3321/j.issn:0459-1879.2006.01.002 [16] Nakayama H, Moriya T, Kasahara J, et al. Stable detonation wave propagation in rectangular-cross-section curved channels[J]. Combustion and Flame, 2012, 159(2):859-869. doi: 10.1016/j.combustflame.2011.07.022 [17] Sugiyama Y, Nakayama Y, Matsuo A, et al. Numerical investigations on detonation propagation in a two-dimensional curved channel[J]. Combustion Science and Technology, 2014, 186(10/11):1662-1679. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=10.1080/00102202.2014.935621 [18] Gamezo V, Ogawa T, Oran E. Flame acceleration and DDT in channels with obstacles: Effect of obstacle spacing[J]. Combustion and Flame, 2008, 155(1/2):302-315. http://cn.bing.com/academic/profile?id=412fe5ffe2f302905efbc9dac227176c&encoded=0&v=paper_preview&mkt=zh-cn [19] Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes[J]. Journal of Computational Physics, 1996, 126(2):202-228. doi: 10.1006-jcph.1996.0130/ -
下载:
图(6)
计量
- 文章访问数: 4466
- HTML全文浏览量: 1211
- PDF下载量: 607
- 被引次数: 0