Abstract
The work is dedicated to the experimental and numerical study of the mechanisms of gaseous detonation initiation in a stoichiometric hydrogen–oxygen mixture due to the reflection of a shock wave from a complex-shaped end wall. Several elliptic surfaces of different geometries, including distributed ones, were considered. We refer to such reflectors with multiple elliptical surfaces as multi-focusing systems. The experiments were carried out in a shock tube. Visualization of the process was carried out with a high-speed schlieren system. In the experiments, the ignition delay times and the critical incident shock wave Mach number for detonation initiation were measured. Two-dimensional Euler simulations, on a fully unstructured computational grid, were carried out to determine the mechanism of detonation initiation. The numerical approach was verified using the experimentally measured ignition delay times. Reasonable agreement between the simulations and experiments for the critical Mach number of detonation initiation and for the efficiency of various multi-focusing systems for detonation initiation was achieved. Different regimes of detonation initiation depending on the incident shock wave Mach number were observed.
Similar content being viewed by others
References
Knystautas, R., Lee, J.H.: On the effective energy for direct initiation of gaseous detonations. Combust. Flame 27, 221–228 (1976). https://doi.org/10.1016/0010-2180(76)90025-0
Levin, V.A., Markov, V.V., Osinkin, S.F.: Simulation of detonation initiation in a combustible mixture of gases by an electric-discharge. Khim. Fiz. 3(4), 611–614 (1984)
Vasil’ev, A.A.: Initiation of gas detonation with a spatial source distribution. Combust. Explos. Shock Waves 24(2), 232–237 (1988). https://doi.org/10.1007/BF00749197
Vasil’ev, A.A.: Dynamic parameters of detonation. In: Zhang, F. (ed.) Shock Wave Science and Technology Reference Library. Detonation Dynamics, vol. 6, pp. 213–279. Springer, Berlin (2012). https://doi.org/10.1007/978-3-642-22967-1_4
Vasilev, A.A.: Cellular structures of a multifront detonation wave and initiation (review). Combust. Explos. Shock Waves 51(1), 1–20 (2015). https://doi.org/10.1134/S0010508215010013
Radulescu, M.I., Sharpe, G.J., Law, C.K: Effect of cellular instabilities on the blast initiation of weakly unstable detonations. 21st International Colloquium on the Dynamics of Explosion and Reactive Systems, Poitiers, France, Paper 212 (2007)
Radulescu, M.I.: A detonation paradox: why inviscid detonation simulations predict the incorrect trend for the role of instability in gaseous cellular detonations? Combust. Flame 195, 151–162 (2018). https://doi.org/10.1016/j.combustflame.2018.05.002
Borisov, A.A., Zamanskii, V.M., Kosenkov, V.V., Lisyanskii, V.V., Skachkov, G.I., Troshin, KYa., Gelfand, B.E.: Ignition of gaseous combustible mixtures in focused shock waves. AIP Conf. Proc. 208, 696–701 (1990). https://doi.org/10.1063/1.39506
Meyer, J.W., Oppenheim, A.K.: On the shock-induced ignition of explosive gases. Symp. (Int.) Combust. 13(1), 1153–1164 (1971). https://doi.org/10.1016/S0082-0784(71)80112-1
Chan, C.K., Lau, D., Thibault, P.A., Penrose, J.D.: Ignition and detonation initiation by shock focusing. AIP Conf. Proc. 208, 161–166 (1990). https://doi.org/10.1063/1.39434
Achasov, O.V., Labuda, S.A., Penyazkov, O.G.: Initiation of detonation by gasdynamic methods. J. Eng. Phys. Thermophys. 69(6), 807–813 (1996). https://doi.org/10.1007/BF02606120
Gelfand, B.E., Khomik, S.V., Bartenev, A.M., Medvedev, S.P., Grönig, H., Olivier, H.: Detonation and deflagration initiation at the focusing of shock waves in combustible gaseous mixture. Shock Waves 10, 197–204 (2000). https://doi.org/10.1007/s001930050007
Bartenev, A.M., Khomik, S.V., Gelfand, B.E., Grönig, H., Olivier, H.: Effect of reflection type on detonation initiation at shock-wave focusing. Shock Waves 10, 205–215 (2000). https://doi.org/10.1007/s001930050008
Smirnov, N.N., Penyazkov, O.G., Sevrouk, K.L., Nikitin, V.F., Stamov, L.I., Tyurenkova, V.V.: Detonation onset following shock wave focusing. Acta Astronaut. 135, 114–130 (2017). https://doi.org/10.1016/j.actaastro.2016.09.014
Deng, X., Xie, B., Teng, H., Xiao, F.: High resolution multi-moment finite volume method for supersonic combustion on unstructured grids. Appl. Math. Model. 66, 404–423 (2019). https://doi.org/10.1016/j.apm.2018.08.010
Jackson, S.I., Buraczewski, P.M., Shepherd, J.E.: Initiation of detonations and deflagrations by shock reflection and focusing. 20th International Colloquium on the Dynamics of Explosion and Reactive Systems, Montreal, Canada, Paper 241 (2005)
Penyazkov, O.G., Sevrouk, K.L., Tangirala, V.E., Dean, A.J., Varatharajan, B.: Shock-wave initiation of detonations in propane/air mixtures. 20th International Colloquium on the Dynamics of Explosion and Reactive Systems, Montreal, Canada, Paper 91 (2005)
Schultz, E., Shepherd, J.: Validation of detailed reaction mechanisms for detonation simulation. CalTech Explosion Dynamics Lab Report, FM99-5 (2000)
Chen, G., Tang, H., Zhang, P.: Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes. J. Sci. Comput. 34, 64–86 (2008). https://doi.org/10.1007/s10915-007-9162-8
Hu, C., Shu, C.-W.: Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150, 97–127 (1999). https://doi.org/10.1006/jcph.1998.6165
Lopato, A.I., Utkin, P.S.: Numerical study of detonation wave propagation in the variable cross-section channel using unstructured computational grids. J. Combust. 2018, 3635797 (2018). https://doi.org/10.1155/2018/3635797
Skews, B.W., Kleine, H.: Flow features resulting from shock wave impact on a cylindrical cavity. J. Fluid Mech. 580, 481–493 (2007). https://doi.org/10.1017/S0022112007005757
Yamashita, H., Kasahara, J., Sugiyma, Y., Matsuo, A.: Visualization study of ignition modes behind bifurcated-reflected shock waves. Combust. Flame 159, 2954–2966 (2012). https://doi.org/10.1016/j.combustflame.2012.05.009
Acknowledgements
The work of PSU and AIL was carried out under the state task of the ICAD RAS. The work of AAV was carried out under the state task of the Lavrentyev Institute of Hydrodynamics of SB RAS. The authors are also grateful to the anonymous referees who helped to improve the quality of the manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by G. Ciccarelli.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This paper is based on work that was presented at the 25th International Colloquium on the Dynamics of Explosions and Reactive Systems, Beijing, China, July 28–August 2, 2019.
Rights and permissions
About this article
Cite this article
Utkin, P.S., Lopato, A.I. & Vasil’ev, A.A. Mechanisms of detonation initiation in multi-focusing systems. Shock Waves 30, 741–753 (2020). https://doi.org/10.1007/s00193-020-00969-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00193-020-00969-6