Abstract
An experimental comparative study of the detonation re-initiation downstream of an orifice plate and the typical deflagration-to-detonation transition in a smooth tube is carried out. In this study, two tube configurations are employed to study the onset of detonation in stoichiometric methane–oxygen mixtures, i.e., a smooth tube and a tube with a single orifice plate placed in the entrance of the self-sustained detonation transmission. Combustion wave velocity measurement and soot-foil visualization are used to characterize the initiation of detonation. The dimensionless parameters correlated with cell size, tube diameter, and orifice diameter are introduced to analyze the detonation initiation process. The results indicate that the dependence of the detonation initiation distance on the initial pressure as a whole is close to inverse proportionality, and the fitting degree is higher for the detonation re-initiation downstream of the orifice plate. The effect of inherent instability of CH\(_{4}\)–2O\(_{2}\) on the onset of detonation is significantly enhanced when the cell size is smaller than the characteristic dimension of an unobstructed tube, either for deflagration-to-detonation transition in a smooth tube or for the detonation re-initiation downstream of an orifice plate.
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Poludnenko, A.Y., Jessica, C., Kareem, A., Gamezo, V.N., Taylor, B.D.: A unified mechanism for unconfined deflagration-to-detonation transition in terrestrial chemical systems and type Ia supernovae. Science 366, eaau7365 (2019). https://doi.org/10.1126/science.aau7365
Ciccarelli, G., Boccio, J.L., Ginsberg, T., Tagawa, H.: The influence of initial temperature on flame acceleration and deflagration-to-detonation transition. Symp. (Int.) Combust. 26(2), 2973–2979 (1996). https://doi.org/10.1016/S0082-0784(96)80140-8
Gdr, A., Smf, B., Aab, B., Dwn, C.: Pulse detonation propulsion: challenges, current status, and future perspective. Prog. Energy Combust. Sci. 30(6), 545–672 (2004). https://doi.org/10.1016/j.pecs.2004.05.001
Kolbe, M., Simoes, V., Salzano, E.: Including detonations in industrial safety and risk assessments. J. Loss Prevent. Proc. 49, 171–176 (2017). https://doi.org/10.1016/j.jlp.2017.06.015
Lee, J.H.: The Detonation Phenomenon. Cambridge University Press, Cambridge (2008). (www.cambridge.org/9780521897235)
Urtiew, P.A., Oppenheim, A.K.: Experimental observations of the transition to detonation in an explosive gas. Proc. R. Soc. A Math. Phys. 295(1440), 13–28 (1966). https://doi.org/10.1098/rspa.1966.0223
Zel’Dovich, Y.B., Librovich, V.B., Makhviladze, G.M., Sivashinskil, G.I.: On the onset of detonation in a nonuniformly heated gas. J. Appl. Mech. Tech. Phys. 11(2), 264–270 (1970). https://doi.org/10.1007/BF00908106
Lee, J.H., Knystautas, R., Yoshikawa, N.: Photochemical initiation of gaseous detonations. Acta Astronaut. 5(11–12), 971–982 (1978). https://doi.org/10.1016/0094-5765(78)90003-6
Bartenev, A.M., Gelfand, B.E.: Spontaneous initiation of detonations. Prog. Energy Combust. Sci. 26(1), 29–55 (2000). https://doi.org/10.1016/S0360-1285(99)00007-6
Sharpe, G.J., Short, M.: Detonation ignition from a temperature gradient for a two-step chain-branching kinetics model. J. Fluid Mech. 476, 267–292 (2003). https://doi.org/10.1017/S0022112002002963
Smirnov, N.N., Tyurnikov, M.V.: Experimental investigation of deflagration to detonation transition in hydrocarbon-air gaseous mixtures. Combust. Flame 100(4), 661–668 (1995). https://doi.org/10.1016/0010-2180(94)00151-H
Liberman, M.A., Ivanov, M.F., Kiverin, A.D., Kuznetsov, M.S., Chukalovsky, A.A., Rakhimova, T.V.: Deflagration-to-detonation transition in highly reactive combustible mixtures. Acta Astronaut. 67(7–8), 688–701 (2010). https://doi.org/10.1016/j.actaastro.2010.05.024
Khokhlov, A.M., Oran, E.S., Thomas, G.O.: Numerical simulation of deflagration-to-detonation transition: the role of shock-flame interactions in turbulent flames. Combust. Flame 117(1–2), 323–339 (1999). https://doi.org/10.1016/S0010-2180(98)00076-5
Eder, A., Brehm, N.: Analytical and experimental insights into fast deflagrations, detonations, and the deflagration-to-detonation transition process. Heat Mass Transf. 37(6), 543–548 (2001). https://doi.org/10.1007/s002310100238
Zhu, Y.J., Chao, J., Lee, J.: An experimental investigation of the propagation mechanism of critical deflagration waves that lead to the onset of detonation. Proc. Combust. Inst. 31(2), 2455–2462 (2007). https://doi.org/10.1016/j.proci.2006.07.209
Knystautas, R., Lee, J.H., Moen, I., Wagner, H.G.: Direct initiation of spherical detonation by a hot turbulent gas jet. Symp. (Int.) Combust. 17(1), 1235–1245 (1979). https://doi.org/10.1016/S0082-0784(79)80117-4
Achasov, O.V., Penyaz’kov, O.G.: Initiation of detonation by burning jets. J. Eng. Phys. Thermophys. 69(1), 23–27 (1996). https://doi.org/10.1007/BF02606217
Chao, J., Otsuka, T., Lee, J.H.S.: An experimental investigation of the onset of detonation. Proc. Combust. Inst. 30(2), 1889–1897 (2005). https://doi.org/10.1016/j.proci.2004.08.193
Grondin, J.S., Lee, J.H.S.: Experimental observation of the onset of detonation downstream of a perforated plate. Shock Waves 20(5), 381–386 (2010). https://doi.org/10.1007/s00193-010-0267-x
Qin, H., Lee, J.H.S., Wang, Z., Zhuang, F.: An experimental study on the onset processes of detonation waves downstream of a perforated plate. Proc. Combust. Inst. 35(2), 1973–1979 (2015). https://doi.org/10.1016/j.proci.2014.07.056
Lin, W., Zhou, J., Lin, Z., Liu, S.: An experimental study on the onset of detonation downstream of a perforated plate with staggered orifices. Exp. Fluids 58, 121 (2017). https://doi.org/10.1007/s00348-017-2401-3
Liu, Y.K., Lee, J.H., Knystautas, R.: Effect of geometry on the transmission of detonation through an orifice. Combust. Flame 56(2), 215–225 (1984). https://doi.org/10.1016/0010-2180(84)90038-5
Ciccarelli, G., Boccio, J.L.: Detonation wave propagation through a single orifice plate in a circular tube. Symp. (Int.) Combust. 27(2), 2233–2239 (1998). https://doi.org/10.1016/S0082-0784(98)80072-6
Zhang, B., Liu, H., Yan, B.: Velocity behavior downstream of perforated plates with large blockage ratio for unstable and stable detonations. Aerosp. Sci. Technol. 86, 236–243 (2019). https://doi.org/10.1016/j.ast.2019.01.010
Zhang, B., Liu, H.: The effects of large scale perturbation-generating obstacles on the propagation of detonation filled with methane-oxygen mixture. Combust. Flame 182, 279–287 (2017). https://doi.org/10.1016/j.combustflame.2017.04.025
Sun, X., Li, Q., Xu, M.J., Wang, L.Q., Guo, J., Lu, S.X.: Experimental study on the detonation propagation behaviors through a small-bore orifice plate in hydrogen–air mixtures. Int. J. Hydrog. Energy 44(29), 15523–15535 (2019). https://doi.org/10.1016/j.ijhydene.2019.03.134
Bollinger, L., Loren, E.: Experimental measurements and theoretical analysis of detonation induction distances. ARS J. 31(5), 588–595 (1961). https://doi.org/10.2514/8.5567
Kuznetsov, M., Alekseev, V., Matsukov, I., Dorofeev, S.: DDT in a smooth tube filled with a hydrogen–oxygen mixture. Shock Waves 14(3), 205–215 (2005). https://doi.org/10.1007/s00193-005-0265-6
Guan, Q.W., Ji, W.T., Yan, X.Q., Yu, J.L., Yao, F.T., Zhang, D.: Effect of fully blocked non-rigid boundary conditions on detonation wave. Process Saf. Environ. 116, 52–60 (2018). https://doi.org/10.1016/j.psep.2018.01.007
Oran, E., Chamberlai, G., Pekalski, A.: Mechanisms and occurrence of detonations in vapor cloud explosions. Prog. Energy Combust. Sci. 77, 100804 (2020). https://doi.org/10.1016/j.pecs.2019.100804
Wu, Y.W., Zheng, Q., Weng, C.S.: An experimental study on the detonation transmission behaviours in acetylene–oxygen–argon mixtures. Energy 143, 554–561 (2018). https://doi.org/10.1016/j.energy.2017.11.019
Goodwin, G.B., Houim, R.W., Oran, E.S.: Shock transition to detonation in channels with obstacles. Proc. Combust. Inst. 36(2), 2717–2724 (2017). https://doi.org/10.1016/j.proci.2016.06.160
Zhang, B., Shen, X.B., Pang, L., Gao, Y.: Methane–oxygen detonation characteristics near their propagation limits in ducts. Fuel 177, 1–7 (2016). https://doi.org/10.1016/j.fuel.2016.02.089
Kaneshige, M., Shepherd, J.E.: Detonation Database: GALCIT Report FM97-8. California Institute of Technology, Pasadena (1997). https://doi.org/10.7907/g3gs-4y69
Lee, J.H.S., Jesuthasan, A., Ng, H.D.: Near limit behavior of the detonation velocity. Proc. Combust. Inst. 34(2), 1957–1963 (2013). https://doi.org/10.1016/j.proci.2012.05.036
Starr, A., Lee, J.H.S., Ng, H.D.: Detonation limits in rough walled tubes. Proc. Combust. Inst. 35(2), 1989–1996 (2015). https://doi.org/10.1016/j.proci.2014.06.130
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This research has been supported by National Natural Science Foundation of China (52174167), Advanced Petrochemical Equipment and Safety System Innovation Team of Dalian University of Technology (DUT2020TB03), National Natural Science Foundation of China (52104187) and China Postdoctoral Science Foundation (No. 2022M710585).
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Lv, X., Yan, X., Wang, X. et al. Comparative study on the onset of detonation in methane–oxygen mixtures: initiation in a smooth tube and re-initiation downstreamof a single orifice plate. Shock Waves 32, 539–551 (2022). https://doi.org/10.1007/s00193-022-01087-1
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DOI: https://doi.org/10.1007/s00193-022-01087-1