Structure and propagation mode of gaseous spinning detonation in rectangular tube

JIA Xufei; ZHANG Daoping; DONG Gang; GUI Mingyue

doi:10.11883/bzycj-2023-0349

Volume 44 Issue 5

May 2024

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2024 > 44(5): 051001

JIA Xufei, ZHANG Daoping, DONG Gang, GUI Mingyue. Structure and propagation mode of gaseous spinning detonation in rectangular tube[J]. Explosion And Shock Waves, 2024, 44(5): 051001. doi: 10.11883/bzycj-2023-0349

Citation:

JIA Xufei, ZHANG Daoping, DONG Gang, GUI Mingyue. Structure and propagation mode of gaseous spinning detonation in rectangular tube[J]. Explosion And Shock Waves, 2024, 44(5): 051001. doi: 10.11883/bzycj-2023-0349

Citation:

PDF( 7729 KB)

Structure and propagation mode of gaseous spinning detonation in rectangular tube

doi: 10.11883/bzycj-2023-0349

Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Received Date: 2023-09-22
Rev Recd Date: 2023-11-22

Available Online: 2024-01-11

Publish Date: 2024-05-08

Abstract

Abstract

In order to explore the effect of the aspect ratio of rectangular tube on the propagation of the spinning detonation under the limiting detonation propagating conditions, the structure of the three-dimensional gas-phase spinning detonation wave and its propagation modes in rectangular cross-section tubes are numerically investigated based on Euler equations with a 5th-order WENO finite difference scheme and the two-step global reaction model. A linear stability theory of planar detonation wave based on the normal mode method is firstly adopted to examine the chemical reaction parameters for numerical simulations and then several cases with different aspect ratios in cross-section of rectangular tube are investigated to study the structure and propagation mode of three-dimensional gaseous spinning detonation waves. By recording motions of triple lines, flow-field distributions and high-pressure imprint of detonation wave under different sizes of tube cross-section, the effect of cross-sectional geometry on the stable propagation of gaseous detonation under the limiting detonation propagating condition is revealed. The results show that the spinning detonation propagation can be maintained within a certain range of small tube cross-section size, through the movements of horizontal and vertical triple lines and an oblique triple line that is produced by interaction between both horizontal and vertical triple lines. For a square tube with 1 of aspect ratio in cross-section, the high-pressure imprint of spinning detonation on the wall forms the helical strip pattern. With the increase of the aspect ratio of the cross-section size of the tube, the pattern of a high-pressure imprint formed by the spinning detonation on the channel wall varies from the strip structure to a dotted distribution structure, the trajectory of the oblique triple line on the wave front gradually develops from the circular motion in a single direction to a complex trajectory with varying direction. When the aspect ratio is further increased, there is a tendency for the three-dimensional spinning detonation wave to eventually degenerate into a two-dimensional single-head detonation wave structure.
- spinning detonation,
- rectangular tube,
- triple line,
- two-step global reaction

FullText(HTML)

References(26)

References

[1]	CAMPBELL C, WOODHEAD D W. CCCCI.—the ignition of gases by an explosion-wave. part I. carbon monoxide and hydrogen mixtures [J]. Journal of the Chemical Society (Resumed), 1926, 129: 3010–3021. DOI: 10.1039/JR9262903010.
[2]	BONE W A, FRASER R P, WHEELER W H. A photographic investigation of flame movements in gaseous explosions Ⅶ—the phenomenon of spin in detonation [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1935, 235(746): 29–68. DOI: 10.1038/136974a0.
[3]	FAY J A. A mechanical theory of spinning detonation [J]. The Journal of Chemical Physics, 1952, 20(6): 942–950. DOI: 10.1063/1.1700655.
[4]	EDWARDS D H, PARRY D J, JONES A T. The structure of the wave front in spinning detonation [J]. Journal of Fluid Mechanics, 1966, 26(2): 321–336. DOI: 10.1017/S0022112066001265.
[5]	HUANG Z W, LEFEBVRE M H, VAN TIGGELEN P J. Experiments on spinning detonations with detailed analysis of the shock structure [J]. Shock Waves, 2000, 10(2): 119–125. DOI: 10.1007/s001930050185.
[6]	DOU H S, TSAI H M, KHOO B C, 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. DOI: 10.1016/j.combustflame.2008.06.013.
[7]	DOU H S, KHOO B C. Effect of initial disturbance on the detonation front structure of a narrow duct [J]. Shock Waves, 2010, 20(2): 163–173. DOI: 10.1007/s00193-009-0240-8.
[8]	TSUBOI N, ASAHARA M, ETO K, et al. Numerical simulation of spinning detonation in square tube [J]. Shock Waves, 2008, 18(4): 329–344. DOI: 10.1007/s00193-008-0153-y.
[9]	TSUBOI N, ETO K, HAYASHI A K. Detailed structure of spinning detonation in a circular tube [J]. Combustion and Flame, 2007, 149(1/2): 144–161. DOI: 10.1016/j.combustflame.2006.12.004.
[10]	TSUBOI N, HAYASHI A K. Numerical study on spinning detonations [J]. Proceedings of the Combustion Institute, 2007, 31(2): 2389–2396. DOI: 10.1016/j.proci.2006.07.262.
[11]	NAGAO T, ASAHARA M, HAYASHI A K, et al. Numerical analysis of spinning detonation dependency on initial pressure using AUSMDV scheme [C] // 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. Grapevine: AIAA, 2013. DOI: 10.2514/6.2013-1177.
[12]	HUANG Y, JI H, LIEN F, et al. Numerical study of three-dimensional detonation structure transformations in a narrow square tube: from rectangular and diagonal modes into spinning modes [J]. Shock Waves, 2014, 24(4): 375–392. DOI: 10.1007/s00193-014-0499-2.
[13]	SUGIYAMA Y, MATSUO A. Numerical study of acoustic coupling in spinning detonation propagating in a circular tube [J]. Combustion and Flame, 2013, 160(11): 2457–2470. DOI: 10.1016/j.combustflame.2013.06.003.
[14]	SUGIYAMA Y, MATSUO A. Numerical analysis on acoustic coupling of spinning detonation in a square tube [J]. Journal of Thermal Science and Technology, 2016, 11(1): JTST0010. DOI: 10.1299/jtst.2016jtst0010.
[15]	WANG C, SHU C W, HAN W H, 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.
[16]	王成, 韩文虎, 宁建国. 三维气相爆轰动态并行计算程序设计与开发 [J]. 计算力学学报, 2012, 29(6): 948–953. DOI: 10.7511/jslx201206022. WANG C, HAN W H, NING J G. Design and development of dynamic parallel computing code for three-dimensional gaseous detonation [J]. Chinese Journal of Computational Mechanics, 2012, 29(6): 948–953. DOI: 10.7511/jslx201206022.
[17]	WANG C, LI P, GAO Z, et al. Three-dimensional detonation simulations with the mapped WENO-Z finite difference scheme [J]. Computers & Fluids, 2016, 139: 105–111. DOI: 10.1016/j.compfluid.2016.04.016.
[18]	沈洋, 申华, 刘凯欣. 矩形通道中三维气相爆轰的三波线结构分析[C]//北京力学会第21届学术年会暨北京振动工程学会第22届学术年会论文集. 北京: 北京力学会, 北京振动工程学会, 2015. DOI: 10.11883/1001-1455(2016)05-0577-06.
[19]	SHEN Y, SHEN H, LIU K X, et al. Three-dimensional detonation cellular structures in rectangular ducts using an improved CESE scheme [J]. Chinese Physics B, 2016, 25(11): 114702. DOI: 10.1088/1674-1056/25/11/114702.
[20]	XIAO Q, SOW A, MAXWELL B M, et al. Effect of boundary layer losses on 2D detonation cellular structures [J]. Proceedings of the Combustion Institute, 2021, 38(3): 3641–3649. DOI: 10.1016/j.proci.2020.07.068.
[21]	SHORT M, SHARPE G J. Pulsating instability of detonations with a two-step chain-branching reaction model: theory and numerics [J]. Combustion Theory and Modelling, 2003, 7(2): 401–416. DOI: 10.1088/1364-7830/7/2/311.
[22]	SHORT M. Multidimensional linear stability of a detonation wave at high activation energy [J]. SIAM Journal on Applied Mathematics, 1997, 57(2): 307–326. DOI: 10.1137/s0036139995288101.
[23]	SHORT M, DOLD J W. Linear stability of a detonation wave with a model three-step chain-branching reaction [J]. Mathematical and Computer Modelling, 1996, 24(8): 115–123. DOI: 10.1016/0895-7177(96)00144-6.
[24]	VASIL’EV A A. Near-limiting regimes of gaseous detonation [J]. Combustion, Explosion and Shock Waves, 1987, 23(3): 358–364. DOI: 10.1007/BF00748799.
[25]	VOITSEKHOVSKII B V, MITROFANOV V V, TOPCHIYAN M E. Structure of the detonation front in gases(survey) [J]. Combustion, Explosion and Shock Waves, 1969, 5(3): 267–273. DOI: 10.1007/BF00748606.
[26]	FICKETT W, DAVIS W C. Detonation [M]. Berkeley: University of California Press, 1979.