The role of spontaneous waves in the deflagration-to-detonation transition in submillimetre channels

References

• R. Zipf Jr, V. Gamezo, M. Sapko, W. Marchewka, K. Mohamed, E. Oran, D. Kessler, E. Weiss, J. Addis, F. Karnack, and D. Sellers, Methane–air detonation experiments at NIOSH Lake Lynn laboratory, J. Loss Prevent. Proc. 26 (2013), pp. 295–301.
   Web of Science ®Google Scholar
• G. Ciccarelli and S. Dorofeev, Flame acceleration and transition to detonation in ducts, Prog. Energy Combust. Sci. 34 (2008), pp. 499–550.
   Web of Science ®Google Scholar
• P. Wolaǹski, Detonative propulsion, Proc. Combust. Inst. 34 (2013), pp. 125–158.
   Web of Science ®Google Scholar
• M.H. Wu and T.H. Lu, Development of a chemical microthruster based on pulsed detonation, J. Micromech. & Microengng 22 (2012), Article ID 105040. Available at http://stacks.iop.org/0960-1317/22/i=10/a=105040.
   Web of Science ®Google Scholar
• Z.E. Chen and M.H. Wu, Effects of zigzag side walls on detonation initiation in a millimeter-size valveless pulsed detonation channel, in Proceedings of the 24th International Colloquium on the Dynamics of Explosions and Reactive Systems (ICDERS), 28 July–2 August 2013, Taipei, Taiwan. Available at http://www.icders.org/ICDERS2013/PapersICDERS2013/ICDERS2013-0114.pdf.
   Google Scholar
• E.S. Oran, V.N. Gamezo, and R.W. Houim, Boundary-accelerated flames in microchannels, Chapter 2 in Microscale Combustion and Power Generation, Momentum Press, New York, 2015, pp. 20–54.
   Google Scholar
• V.N. Gamezo, A.M. Khokhlov, and E.S. Oran, The influence of shock bifurcations on shock–flame interactions and DDT, Combust. Flame 126 (2001), pp. 1810–1826.
   Web of Science ®Google Scholar
• E.S. Oran and V.N. Gamezo, Origins of the deflagration-to-detonation transition in gas-phase combustion, Combust. Flame 148 (2007), pp. 4–47.
   Web of Science ®Google Scholar
• M. Liberman, M. Ivanov, A. Kiverin, M. Kuznetsov, A. Chukalovsky, and T. Rakhimova, Deflagration-to-detonation transition in highly reactive combustible mixtures, Acta Astronautica 67 (2010), pp. 688–701.
   Web of Science ®Google Scholar
• P.A. Urtiew and A.K. Oppenheim, Experimental observations of the transition to detonation in an explosive gas, Proc. Roy. Soc. London A: Math. Phys. & Engng Sci. 295 (1966), pp. 13–28.
   Web of Science ®Google Scholar
• N.N. Smirnov and M.V. Tyurnikov, Experimental investigation of deflagration to detonation transition in hydrocarbon–air gaseous mixtures, Combust. Flame 100 (1995), pp. 661–668.
   Web of Science ®Google Scholar
• J.D. Ott, E.S. Oran, and J.D. Anderson, A mechanism for flame acceleration in narrow tubes, AIAA J, 47 (2003), pp. 1391–1396.
   Google Scholar
• M. Ivanov, A. Kiverin, I. Yakovenko, and M. Liberman, Hydrogen–oxygen flame acceleration and deflagration-to-detonation transition in three-dimensional rectangular channels with no-slip walls, Int. J. Hydr. Energy 38 (2013), pp. 16427–16440.
   Web of Science ®Google Scholar
• L. Kagan, P. Gordon, and G. Sivashinsky, An asymptotic study of the transition from slow to fast burning in narrow channels, Proc. Combust. Inst. 35 (2015), pp. 913–920.
   Web of Science ®Google Scholar
• M.H. Wu, M. Burke, S. Son, and R. Yetter, Flame acceleration and the transition to detonation of stoichiometric ethylene/oxygen in microscale tubes, Proc. Combust. Inst. 31 (2007), pp. 2429–2436.
   Web of Science ®Google Scholar
• M.H. Wu and W.C. Kuo, Accelerative expansion and DDT of stoichiometric ethylene/oxygen flame rings in micro-gaps, Proc. Combust. Inst. 34 (2013), pp. 2017–2024.
   Web of Science ®Google Scholar
• I. Brailovsky and G.I. Sivashinsky, Hydraulic resistance as a mechanism for deflagration-to-detonation transition, Combust. Flame 122 (2000), pp. 492–499.
   Web of Science ®Google Scholar
• L. Kagan and G. Sivashinsky, The transition from deflagration to detonation in thin channels, Combust. Flame 134 (2003), pp. 389–397.
   Web of Science ®Google Scholar
• L. Kagan and G. Sivashinsky, Transition to detonation of an expanding spherical flame, Combust. Flame (2016), pp. . Available at http://dx.doi.org/10.1016/j.combustflame.2016.06.001.
   PubMed Web of Science ®Google Scholar
• L. Kagan and G. Sivashinsky, Deflagration-to-detonation transition in narrow channels: Hydraulic resistance versus flame folding, Combust. Theory Model. 20 (2016), pp. 798–811. Available at http://dx.doi.org/10.1080/13647830.2016.1178399.
   Web of Science ®Google Scholar
• D. Kessler, V. Gamezo, and E. Oran, Simulations of flame acceleration and deflagration-to-detonation transitions in methane–air systems, Combust. Flame 157 (2010), pp. 2063–2077.
   Web of Science ®Google Scholar
• K. Shchelkin, Influence of tube roughness on the formation and detonation propagation in gas, JETP 10 (1940), pp. 823–827.
   Google Scholar
• V.N. Gamezo and E.S. Oran, Flame acceleration in narrow channels: Applications for micropropulsion in low-gravity environments, AIAA J. 44 (2006), pp. 329–336.
   Google Scholar
• Y. Zel'dovich, V. Librovich, G. Makhviladze, and G. Sivashinsky, On the onset of detonation in a nonuniformly heated gas, J. Appl. Mech. & Tech. Phys. 11 (1970), pp. 264–270.
   Google Scholar
• J. Lee, R. Knystautas, and N. Yoshikawa, Photochemical initiation of gaseous detonations, Acta Astronautica 5 (1978), pp. 971–982.
   Web of Science ®Google Scholar
• D. Kassoy, The Zeldovich spontaneous reaction wave propagation concept in fast/modest heating limits, J. Fluid Mech. 791 (2016), pp. 439–463. Available at http://dx.doi.org/10.1017/jfm.2015.756.
   Web of Science ®Google Scholar
• E. Oran and V. Gamezo, Flame acceleration and detonation transition in narrow tubes, in Proceedings of the 20th International Colloquium on the Dynamics of Explosions and Reactive Systems (ICDERS), 31 July–5 August 2005, Montréal, Canada.
   Google Scholar
• D. Valiev, V. Bychkov, V. Akkerman, C.K. Law, and L.E. Eriksson, Flame acceleration in channels with obstacles in the deflagration-to-detonation transition, Combust. Flame 157 (2010), pp. 1012–1021.
   Web of Science ®Google Scholar
• E. Dziemin̂ska and A.K. Hayashi, Auto-ignition and DDT driven by shock wave–boundary layer interaction in oxyhydrogen mixture, Int. J. Hydr. Energy 38 (2013), pp. 4185–4193.
   Web of Science ®Google Scholar
• T. Machida, M. Asahara, A.K. Hayashi, and N. Tsuboi, Three-dimensional simulation of deflagration-to-detonation transition with a detailed chemical reaction model, Combust. Sci. Technol. 186 (2014), pp. 1758–1773.
   Web of Science ®Google Scholar
• A.Y. Poludnenko, T.A. Gardiner, and E.S. Oran, Spontaneous transition of turbulent flames to detonations in unconfined media, Phys. Rev. Lett. 107 (2011), Article ID 054501. Available at https://doi.org/10.1103/PhysRevLett.107.054501.
   PubMed Web of Science ®Google Scholar
• R.W. Houim and K.K. Kuo, A low-dissipation and time-accurate method for compressible multi-component flow with variable specific heat ratios, J. Comput. Phys. 230 (2011), pp. 8527–8553.
   Web of Science ®Google Scholar
• Center for Computational Sciences and Engineering, University of California, Berkeley, BoxLib. Available at https://ccse.lbl.gov/BoxLib/index.html.
   Google Scholar
• Y. Mahmoudi and K. Mazaheri, High resolution numerical simulation of triple point collision and origin of unburned gas pockets in turbulent detonations, Acta Astronautica 115 (2015), pp. 40–51.
   Web of Science ®Google Scholar
• H. Xiao, R.W. Houim, and E.S. Oran, Formation and evolution of distorted tulip flames, Combust. Flame 162 (2015), pp. 4084–4101.
   Web of Science ®Google Scholar
• R.A. Agarwal, K.Y. Yun, and R. Balakrishnan, Beyond Navier–Stokes: Burnett equations for flows in the continuum-transition regime, Phys. Fluids 13 (2001), pp. 3061–3085.
   Web of Science ®Google Scholar
• B. Taylor, D. Kessler, V. Gamezo, and E. Oran, Numerical simulations of hydrogen detonations with detailed chemical kinetics, Proc. Combust. Inst. 34 (2013), pp. 2009–2016.
   Web of Science ®Google Scholar
• E.S. Oran, Understanding explosions: From catastrophic accidents to creation of the universe, Proc. Combust. Inst. 35 (2015), pp. 1–35.
   Web of Science ®Google Scholar
• M.P. Burke, M. Chaos, Y. Ju, F.L. Dryer, and S.J. Klippenstein, Comprehensive H2/O2 kinetic model for high-pressure combustion, Int. J. Chem. Kinetics 44 (2012), pp. 444–474.
   Web of Science ®Google Scholar