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Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

Published online by Cambridge University Press:  03 June 2015

Hua-Shu Dou ,
Zongmin Hu ,
Boo Cheong Khoo  and
Zonglin Jiang
Hua-Shu Dou*
Affiliation:
Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China
Zongmin Hu
Affiliation:
State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
Boo Cheong Khoo
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Singapore 119260, Singapore
Zonglin Jiang
Affiliation:
State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
*
*Corresponding author. Email: [email protected]
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Abstract

Numerical simulation based on the Euler equation and one-step reaction model is carried out to investigate the process of deflagration to detonation transition (DDT) occurring in a straight duct. The numerical method used includes a high resolution fifth-order weighted essentially non-oscillatory (WENO) scheme for spatial discretization, coupled with a third order total variation diminishing Runge-Kutta time stepping method. In particular, effect of energy release on the DDT process is studied. The model parameters used are the heat release at q = 50,30,25,20,15,10 and 5, the specific heat ratio at 1.2, and the activation temperature at Ti = 15, respectively. For all the cases, the initial energy in the spark is about the same compared to the detonation energy at the Chapman-Jouguet (CJ) state. It is found from the simulation that the DDT occurrence strongly depends on the magnitude of the energy release. The run-up distance of DDT occurrence decreases with the increase of the energy release for q = 50 ~ 20, and increases with the increase of the energy release for q = 20 ~ 5. This phenomenon is found to be in agreement with the analysis of mathematical stability theory. It is suggested that the factors to strengthen the DDT would make the detonation more stable, and vice versa. Finally, it is concluded from the simulations that the interaction of the shock wave and the flame front is the main reason for leading to DDT.

Keywords

47.40.-x47.40.Rs47.70.FwNumerical simulationdetonationDDTenergy releaseduct
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 6 , December 2014 , pp. 718 - 731
Copyright
Copyright © Global-Science Press 2014

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References

[1]Kailasanath, K., Review of propulsion applications of detonation waves, AIAA J., 38 (2000), pp. 1698–1708.Google Scholar
[2]Lu, F. and Bellini, R., Progress in modeling pulse detonations, Lecture Notes in Workshop on Moving Interface Problems and Applications in Fluid Dynamics, 8 January-31 March 2007, IMS, NUS.Google Scholar
[3]Bédard-Tremblaya, L., Fanga, L., Bauwens, L., Chengb, Z. and Tchouvelev, A. V., Numerical simulation of hydrogenCair detonation for damage assessment in realistic accident scenarios, J. Loss Prevention in the Process Industries, 21 (2008), pp. 154–161.Google Scholar
[4]Ciccarelli, G. and Dorofeev, S., Flame acceleration and transition to detonation in ducts, Progress in Energy and Combustion Science, 34 (2008), pp. 499–550.CrossRefGoogle Scholar
[5]Oran, E. S. and Gamezo, V. N., Origins of the deflagration-to-detonation transition in gas-phase combustion, Combust. Flame, 148 (2007), pp. 4–47.Google Scholar
[6]Zeldovich, Ya. B., Librovich, V. B., Makhviladze, G. M. and Sivashinsky, G. I., On the development of detonation in a non-uniformly preheated gas, Astron. Acta, 15(5-6) (1970), pp. 313–321.Google Scholar
[7]Lee, J. H., Knystautas, R. and Yoshikawa, N., Photochemical initiation of gaseous detona-tions, Acta Astronautica, 5 (1978), pp. 971–982.Google Scholar
[8]Kapila, A. L., Schwendman, D. W., Quirk, J. J. and Hawa, Y., Mechanisms of detonation formation due to a temperature gradient, Combust. Theory Model., 6 (2002), pp. 553–594.Google Scholar
[9]Brailovskya, I. and Sivashinsky, G. I., Hydraulic resistance as a mechanism for deflagration-to-detonation transition, Combust. Flame, 122 (2000), pp. 492–499.CrossRefGoogle Scholar
[10]Khokhlov, A. M., Oran, E. S. and Wheeler, J. C., A theory of deflagration-to-detonation transition in unconfined flames, Combust. Flame, 108(4) (1997), pp. 503–517.CrossRefGoogle Scholar
[11]Jiang, Z. L., Han, G. L., Wang, C. and Zhang, F., Self-organized generation of transverse waves in diverging cylindrical detonations, Combust. Flame, 156(8) (2009), pp. 1653–1661.Google Scholar
[12]Vasil’ev, A. A., Estimation of critical conditions for the detonation-to-deflagration transition, Combustion Explosion and shock Waves, 42 (2006), pp. 205–209.CrossRefGoogle Scholar
[13]Silvestrini, M., Genova, B. and Parisi, G., Flame acceleration and DDT run-up distance for smooth and obstacles filled tubes, J. Loss Prevention in the Process industries, 21 (2008), pp. 555–562.Google Scholar
[14]Smirnov, N. N. and Tyurnikov, M. V., Experimental investigation of deflagration to detonation transition in hydrocarbon-air gaseous mixtures, Combust. Flame, 100 (1995), pp. 661–668.Google Scholar
[15]Dorofeev, S. B., Sidorov, V. P., Kuznetsov, M. S., Matsukov, I. D., and Alekseev, V. I., Effect of scale on the onset of detonations, Shock Waves, 10 (2000), pp. 137-149Google Scholar
[16]Meyer, T. R., Hoke, J. L., Brown, M. S., Gord, J. R., and Schauer, F. R., Experimental study of deflagration-to-detonation enhancement techniques in a h2/air pulsed-detonation engine, AIAA-2002-3720, 2002.Google Scholar
[17]Li, J., Lai, W. H. and Chung, K., Tube diameter effect on deflagration-to-detonation transition of propane-oxygen mixtures, ShockWaves, 16 (2006), pp. 109–117.Google Scholar
[18]Zhu, Y. J., Chao, J. and Lee, J. H. S., An experimental investigation of the propagation mechanism of critical deflagration waves that lead to the onset of detonation, Proc. Combust. Inst., 31 (2007), pp. 2455–2462.Google Scholar
[19]Sorin, R., Zitoun, R. and Desbordes, D., Optimization of the deflagration to detonation transition: reduction of length and time of transition, Shock Waves, 15 (2006), pp. 137–145.Google Scholar
[20]Aizawa, K., Yoshino, S., Mogi, T., Shina, H., Ogata, Y., Wada, Y. and Hayashi, A. K., Study of detonation initiation in hydrogen/airflow, Shock Waves, 18 (2008), pp. 299–305.Google Scholar
[21]Lee, S. Y., Watts, J., Saretto, S., Pal, S., Conrad, C., Woodward, R., and Santoro, R., Deflagration to detonation transition processes by turbulence-generating obstacles in pulse detonation engines, J. Propulsion Power, 20 (2004), pp. 1026–1036.Google Scholar
[22]Teodorczyk, A., Drobniak, P. and Dabkowski, A., Fast turbulent deflagration and DDT of hydrogen-air mixtures in small obstructed channel, Inter. J. Hydrogen Energy, 34 (2009), pp. 5887–5893.Google Scholar
[23]New, T., Panicker, P. K., Chui, K., Tsai, H., and Lu, F. K., Experimental study on deflagration-to-detonation transition enhancement methods in a PDE, AIAA-2006-7958, 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, November 6-9, 2006, Canberra, Australia.Google Scholar
[24]Tegner, J., and Sjogreen, B., Numerical investigation of deflagration to detonation transitions, Combust. Sci. Tech., 174 (2002), pp. 153–186.CrossRefGoogle Scholar
[25]Parra-Santos, M. T. and Castro-Ruiz, F., Numerical simulation of the deflgration to detonation transition, Combustion, Explosion, and Shock Waves, 41 (2005), pp. 215–222.Google Scholar
[26]Vaagsaether, K., Knudsen, V. and Bjerketvedt, D., Simulation of flame acceleration and DDT in H2-air mixture with a flux limiter centered method, Int. J. Hydrogen Energy, 32 (2007), pp. 2186–2191.Google Scholar
[27]Lu, F. K., Fan, H. Y. and Wilson, D. R., Detonation waves induced by a confined wedge, Aero. Sci. Tech., 10 (2006), pp. 679–685.Google Scholar
[28]Gamezo, V. N., Ogawa, T. and Oran, E. S., Numerical simulations of flame propagation and DDT in obstructed channels filled with hydrogen-air mixture, Proc. Combust. Inst., 31 (2007), pp. 2463–2471.CrossRefGoogle Scholar
[29]Dou, H.-S., Tsai, H. M., Khoo, B. C. and Qiu, J., Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme, Combust. Flame, 154 (2008), pp. 644–659.CrossRefGoogle Scholar
[30]Dou, H.-S. and Khoo, B. C., Effect of initial disturbance on the detonation front structure of a narrow duct, Shock Waves, 20(2) (2010), pp. 163–173.Google Scholar
[31]Dou, H.-S., Tsai, H. M., Khoo, B. C. and Qiu, J., Three-dimensional simulation of detonation waves using WENO schemes, 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 8–11 January 2007. (AIAA Paper-2007-1177).Google Scholar
[32]Dou, H.-S., Khoo, B. C. and Tsai, H. M., Physics of detonation captured by three-dimensional simulations, Proceedings of the 26th International Symposium on Shock Waves, July 15-20, 2007, Goettingen, Germany, Springer-Verlag.Google Scholar
[33]Lee, H. I. and Stewart, D. S., Calculation of linear detonation instability: one-dimensional instability of plane detonation, J. Fluid Mech., 216 (1990), pp. 103–132.CrossRefGoogle Scholar
[34]Liberman, M. A., Kuznetsov, M., Ivanov, A. and Matsukov, I., Formation of the preheated zone ahead of a propagating flame and the mechanism underlying the deflagration-to-detonation transition, Phys. Lett. A, 373(5) (2009), pp. 501–510.Google Scholar