Exploring the chemical kinetic effects on the direct detonation initiation in H₂-O₂-Ar mixtures

References

• F.K. Lu and E.M. Braun, Rotating detonation wave propulsion: experimental challenges, modeling, and engine concepts. J Propul Power 30 (2014), pp. 1125–1142.
   Web of Science ®Google Scholar
• M. Zhao, J.-M. Li, C.J. Teo, B.C. Khoo and H. Zhang, Effects of variable total pressures on instability and extinction of rotating detonation combustion. Flow Turbul Combust 104 (2020), pp. 261–290.
   Web of Science ®Google Scholar
• S. Miller, P. King, F. Schauer and J. Hoke, Ignition design for a rotating detonation engine, 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 2013.
   Google Scholar
• J.H. Lee, The Detonation Phenomenon, Cambridge University Press, New York, 2008.
   Google Scholar
• F. Yang, T. Wang, X. Deng, J. Dang, Z. Huang, S. Hu, Y. Li and M. Ouyang, Review on hydrogen safety issues: Incident statistics, hydrogen diffusion, and detonation process. Int J Hydrogen Energy 46 (2021), pp. 31467–31488.
   Web of Science ®Google Scholar
• J. Lee and A. Higgins, Comments on criteria for direct initiation of detonation. Philos Trans R Soc London. Ser A: Math Phys Eng Sci 357 (1999), pp. 3503–3521.
   Web of Science ®Google Scholar
• J.H. Lee, R. Knystautas and N. Yoshikawa, Photochemical initiation of gaseous detonations. Acta Astronautica 5 (1980), pp. 971–982.
   Web of Science ®Google Scholar
• Y.B. Zeldovich, S.M. Kogarko and M.N. Simonov, An experimental investigation of spherical detonation of gases. Sov Phys-Tech Phys 1 (1956), pp. 1689–1713.
   Web of Science ®Google Scholar
• H. Matsui and J.H. Lee, On the measure of the relative detonation hazards of gaseous fuel-oxygen and air mixtures, Symposium (International) on Combustion, 1979.
   Google Scholar
• J. Lee, R. Knystautas and C. Guirao, The link between cell size, critical tube diameter, initiation energy and detonability limits. Fuel-Air Explosions (1982), pp. 157–187.
   Google Scholar
• A. Vasil'ev, V. Mitrofanov and M. Topchiyan, Detonation waves in gases. Combust Explos Shock Waves 23 (1988), pp. 605–623.
   Web of Science ®Google Scholar
• A. Vasil’ev, Y.A. Nikolaev and V.Y. Ul’yanitskii, Critical energy of initiation of a multifront detonation. Combust Explos Shock Waves 15 (1979), pp. 768–775.
   Web of Science ®Google Scholar
• A. Vasil’ev, Diffraction estimate of the critical energy for initiation of gaseous detonation. Combust Explos Shock Waves 34 (1998), pp. 433–437.
   Web of Science ®Google Scholar
• B. Zhang and C. Bai, Methods to predict the critical energy of direct detonation initiation in gaseous hydrocarbon fuels – an overview. Fuel 117 (2014), pp. 294–308.
   Web of Science ®Google Scholar
• J.H. Lee, Dynamic parameters of gaseous detonations. Annu Rev Fluid Mech 16 (1984), pp. 311–336.
   Web of Science ®Google Scholar
• R. Mével, D. Davidenko, F. Lafosse, N. Chaumeix, G. Dupré, C-É Paillard and J.E. Shepherd, Detonation in hydrogen–nitrous oxide–diluent mixtures: An experimental and numerical study. Combust Flame 162 (2015), pp. 1638–1649.
   Web of Science ®Google Scholar
• L. He and P. Clavin, On the direct initiation of gaseous detonations by an energy source. J Fluid Mech 277 (1994), pp. 227–248.
   Web of Science ®Google Scholar
• C.A. Eckett, J.J. Quirk and J.E. Shepherd, The role of unsteadiness in direct initiation of gaseous detonations. J Fluid Mech 421 (2000), pp. 147–183.
   Web of Science ®Google Scholar
• A.R. Kasimov and D.S. Stewart, Theory of Direct Initiation of Gaseous Detonations and Comparison with Experiment, TAM Rep. 1043., Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, 2004.
   Google Scholar
• D.S. Stewart and J.B. Bdzil, The shock dynamics of stable multidimensional detonation. Combust Flame 72 (1988), pp. 311–323.
   Web of Science ®Google Scholar
• Y. Liu, Q. Xie, Y. Chen, R. Mével and Z. Ren, Critical decay time model for direct detonation initiation energy in gaseous mixtures. J Propul Power 40 (2024), pp. 94–110.
   Web of Science ®Google Scholar
• M. Liberman, C. Wang, C. Qian and J. Liu, Influence of chemical kinetics on spontaneous waves and detonation initiation in highly reactive and low reactive mixtures. Combust Theor Model 23 (2019), pp. 467–495.
   Web of Science ®Google Scholar
• D.A. Jones, G. Kemister, E.S. Oran and M. Sichel, The influence of cellular structure on detonation transmission. Shock Waves 6 (1996), pp. 119–129.
   Web of Science ®Google Scholar
• H. Li, W. Han, J. Li and W. Fan, Influences of incoming flow on re-initiation of cellular detonations. Combust Flame 229 (2021), pp. 111376.
   Web of Science ®Google Scholar
• N. Semenoff, Chemical Kinetics and Chain Reactions, Oxford at the Clarendon Press, London, 1935.
   Google Scholar
• B. Gray and C. Yang, On the unification of the thermal and chain theories of explosion limits. J Phys Chem 69 (1965), pp. 2747–2750.
   Web of Science ®Google Scholar
• J. Dold and A. Kapila, Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models. Combust Flame 85 (1991), pp. 185–194.
   Web of Science ®Google Scholar
• M. Short and J.J. Quirk, On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction. J Fluid Mech 339 (1997), pp. 89–119.
   Web of Science ®Google Scholar
• Z. Liang and L. Bauwens, Cell structure and stability of detonations with a pressure-dependent chain-branching reaction rate model. Combust Theor Model 9 (2005), pp. 93–112.
   Web of Science ®Google Scholar
• Z. Liang, S. Browne, R. Deiterding and J. Shepherd, Detonation front structure and the competition for radicals. Proc Combust Inst 31 (2007), pp. 2445–2453.
   Web of Science ®Google Scholar
• M. Afrand, S. Farahat and M. Alamkar, The study of chain initiation effect on the direct initiation of detonation. Int J Ind Manuf Eng 6 (2012), pp. 2356–2361.
   Google Scholar
• Q. Xie, Z. Xiao and Z. Ren, A spectral radius scaling semi-implicit iterative time stepping method for reactive flow simulations with detailed chemistry. J Comput Phys 368 (2018), pp. 47–68.
   Web of Science ®Google Scholar
• M. Burke, M. Chaos, Y. Ju, F. Dryer and S. Klippenstein, Comprehensive H2/O2 kinetic model for high-pressure combustion. Int J Chem Kinet 44 (2012), pp. 444–474.
   Web of Science ®Google Scholar
• C. Qi and Z. Chen, Effects of temperature perturbation on direct detonation initiation. Proc Combust Inst 36 (2017), pp. 2743–2751.
   Web of Science ®Google Scholar
• C. Qi and Z. Chen, Numerical simulation of direct detonation initiation in H2/O2/Ar mixtures with detailed chemistry, Proc. 25nd ICDERS, Leeds, UK, 2015, pp. 2–7.
   Google Scholar
• Q. Xie, Y. Liu, Y. Chen and Z. Ren, Exploring the controlling mechanisms for gradient evolution in unsteady detonation flows. Phys Fluids 34 (2022), pp. 076102.
   Web of Science ®Google Scholar
• H. Shen and M. Parsani, The role of multidimensional instabilities in direct initiation of gaseous detonations in free space. J Fluid Mech 813 (2017), pp. R4.
   Web of Science ®Google Scholar
• W. Han, W. Kong, Y. Gao and C.K. Law, The role of global curvature on the structure and propagation of weakly unstable cylindrical detonations. J Fluid Mech 813 (2017), pp. 458–481.
   Web of Science ®Google Scholar
• G.J. Sharpe, Transverse waves in numerical simulations of cellular detonations. J Fluid Mech 447 (2001), pp. 31–51.
   Web of Science ®Google Scholar
• G.I. Taylor, The formation of a blast wave by a very intense explosion I. Theoretical discussion. Proc Royal Soc London. Ser A. Math Phys Sci 201 (1950), pp. 159–174.
   Web of Science ®Google Scholar
• M. Zhao, Z. Ren and H. Zhang, Pulsating detonative combustion in n-heptane/air mixtures under off-stoichiometric conditions. Combust Flame 226 (2021), pp. 285–301.
   Web of Science ®Google Scholar
• H. Ng, M. Radulescu, A. Higgins, N. Nikiforakis and J. Lee, Numerical investigation of the instability for one-dimensional Chapman–Jouguet detonations with chain-branching kinetics. Combust Theor Model 9 (2005), pp. 385–401.
   Web of Science ®Google Scholar
• V.P. Korobeinikov, Problems of Point Blast Theory, American Institute of Physics, New York, 1991.
   Google Scholar
• T. Nagy and T. Turanyi, Uncertainty of Arrhenius parameters. Int J Chem Kinet 43 (2011), pp. 359–378.
   Web of Science ®Google Scholar
• D.A. Sheen and H. Wang, The method of uncertainty quantification and minimization using polynomial chaos expansions. Combust Flame 158 (2011), pp. 2358–2374.
   Web of Science ®Google Scholar
• P.G. Constantine, E. Dow and Q. Wang, Active subspace methods in theory and practice: applications to kriging surfaces. SIAM J Sci Comput 36 (2014), pp. A1500–A1524.
   Web of Science ®Google Scholar
• X. Su, W. Ji and Z. Ren, Uncertainty analysis in mechanism reduction via active subspace and transition state analyses. Combust Flame 227 (2021), pp. 135–146.
   Web of Science ®Google Scholar
• W. Ji, Z. Ren, Y. Marzouk and C.K. Law, Quantifying kinetic uncertainty in turbulent combustion simulations using active subspaces. Proc Combust Inst 37 (2019), pp. 2175–2182.
   Web of Science ®Google Scholar
• Q. Xie, Y. Liu, M. Yao, H. Zhou and Z. Ren, A fully coupled, fully implicit simulation method for unsteady flames using Jacobian approximation and clustering. Combust Flame 245 (2022), pp. 112362.
   Web of Science ®Google Scholar
• D.G. Goodwin, H.K. Moffat, I. Schoegl, R.L. Speth and B.W. Weber, Cantera: An object-oriented software toolkit for chemical kinetics, thermodynamics, and transport processes. (2018). Available at https://www.cantera.org (2022). Version 2.6.0.
   Google Scholar
• C.R.L. Bauwens and S.B. Dorofeev, Modeling detonation limits for arbitrary non-uniform concentration distributions in fuel–air mixtures. Combust Flame 221 (2020), pp. 338–345.
   Web of Science ®Google Scholar