Two-dimensional simulation of cylindrical detonation

Wu Dan; Liu Yan; Wang Jian-ping

doi:10.11883/1001-1455(2015)04-0561-06

Volume 35 Issue 4

Jun. 2016

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2015 > 35(4): 561-566

Wu Dan, Liu Yan, Wang Jian-ping. Two-dimensional simulation of cylindrical detonation[J]. Explosion And Shock Waves, 2015, 35(4): 561-566. doi: 10.11883/1001-1455(2015)04-0561-06

Citation:

Wu Dan, Liu Yan, Wang Jian-ping. Two-dimensional simulation of cylindrical detonation[J]. Explosion And Shock Waves, 2015, 35(4): 561-566. doi: 10.11883/1001-1455(2015)04-0561-06

Wu Dan, Liu Yan, Wang Jian-ping. Two-dimensional simulation of cylindrical detonation[J]. Explosion And Shock Waves, 2015, 35(4): 561-566. doi: 10.11883/1001-1455(2015)04-0561-06

Citation:

Wu Dan, Liu Yan, Wang Jian-ping. Two-dimensional simulation of cylindrical detonation[J]. Explosion And Shock Waves, 2015, 35(4): 561-566. doi: 10.11883/1001-1455(2015)04-0561-06

PDF( 2977 KB)

Two-dimensional simulation of cylindrical detonation

doi: 10.11883/1001-1455(2015)04-0561-06

Wu Dan^{1, 2
,},
Liu Yan^{1, 2},
Wang Jian-ping^{1, 2}

1.
Center for Combustionand Propulsion and CAPT, College of Engineering, Peking University, Beijing 100871, China
2.
State Key Laboratory of Turbulence & Complex Systems, Peking University, Beijing 100871, China

Received Date: 2013-10-30
Rev Recd Date: 2014-01-22
Publish Date: 2015-07-25

Abstract

Abstract

Based on two-step reactive Euler equations, two-dimensional simulation of cylindrical detonation (CD) is performed. The objective is to study the influence of ignition conditions and initial pressure on the formation and propagation of CD. It is found that the new-generation of triple shock waves is the sign that CD becomes stable as it is running outwards. As long as CD could be ignited successfully, the ignition radius (curvature) decided the number and location of initial-generated triple shock waves, and the ignition pressure has little influence on them. When the ignition radius is large, the number and running radius of initial-generated triple shock waves is large as well, and long running distance is needed for CD to become stable. When the initial pressure is elevated, CD becomes stable in shorter running distance.
- mechanics of explosion,
- triple shock waves,
- initial pressure,
- direct initiation,
- ignition condition,
- cylindrical detonation

FullText(HTML)

References(14)

References

[1]	Lee J H S. Initiation of gaseous detonation[J]. Annual Review of Physical Chemistry, 1977, 28: 75-104. doi: 10.1146/annurev.pc.28.100177.000451
[2]	Zeldovich Y B, Kogarko S M, Simonov N N. Experimental investigation of spherical detonation in gases[J]. Soviet Physics-Technical Physics, 1957, 1(8): 1689-1731. http://ci.nii.ac.jp/naid/10007401387
[3]	Matsui H, Lee J H. Influence of electrode geometry and spacing on the critical energy for direct initiation of spherical gaseous detonations[J]. Combustion and Flame, 1976, 27: 217-220. http://www.sciencedirect.com/science/article/pii/0010218076900249
[4]	Vasilev A A. Geometric limits of gas detonation propagation[J]. Combustion, Explosion, and Shock Waves, 1982, 18(2): 245-249. doi: 10.1007/BF00789626
[5]	Aminallah M, Brossard J, Vasilev A. Cylindrical detonations in methane-oxygen-nitrogen mixtures[J]. The American Institute of Aeronautics and Astronautics, 1993, 153: 203-228. doi: 10.2514/5.9781600866265.0203.0228
[6]	Soloukhin R I. Shock waves and detonations in gases[M]. Moscow: Mono Book Corp, State Publishing House, 1966: 138-147.
[7]	Bull D C, Elsworth, J E, Hoooper G, et al. A study of spherical detonation in mixtures of methane and oxygen diluted by nitrogen[J]. Journal of Physics D: Applied Physics, 1976, 9(4): 191-199. http://adsabs.harvard.edu/abs/1976JPhD....9.1991B
[8]	Jiang Z L, Han G L, Wang C, et al. Self-organized generation of transverse waves in diverging cylindrical detonations[J]. Combustion and Flame, 2009, 156(8): 1653-1661. http://www.sciencedirect.com/science/article/pii/s001021800900090x
[9]	Asahara M, Tsuboi N, Hayashi A K, et al. Two-dimensional simulation on propagation mechanism of H₂/O₂ cylindrical detonation with a detailed reaction model: Influence of initial energy and propagation mechanism[J]. Combustion Science and Technology, 2010, 182(11/12): 1884-1900. doi: 10.1080/00102202.2010.499721
[10]	Korobeinikov V P, Levin V A, Markov V V, et al. Propagation of blast wave in a combustion gas[J]. Astronautica Acta, 1972, 17: 529-537. http://www.researchgate.net/publication/279699512_Propagation_of_blast_waves_in_a_combustible_gas
[11]	Mohanraj R, Merkle C L. A numerical study of pulse detonation engine performance: AIAA 2000-0315[R]. 2000.
[12]	Balsara D S, Shu C W. Monotonicity preserving weighted essentially non-oscillatory schemes with increasing high order of accuracy[J]. Journal of Computational Physics, 2000, 160(2): 405-452. http://www.sciencedirect.com/science/article/pii/S002199910096443X
[13]	Watt S D, Sharpe. Linear and nonlinear dynamics of cylindrically and spherically expanding detonation waves[J]. Journal of Fluid Mechanics, 2005, 522: 329-356. http://www.ams.org/mathscinet-getitem?mr=2260972
[14]	张博, Lee J H S, 白春华. C₂H₄-O₂混合气体直接起爆的临界能量[J].爆炸与冲击, 2012, 32(2): 113-120. doi: 10.11883/1001-1455(2012)02-0113-08 Zhang Bo, Lee J H S, Bai Chun-hua. Critial energy for direct initiation of C₂H₄-O₂ mixture[J]. Explosion and Shock Waves, 2012, 32(2): 113-120. doi: 10.11883/1001-1455(2012)02-0113-08