Effects of Dilution and Pressure on Detonation Propagation Across an Inert Layer
Abstract
In explosion accidents, inert layer(s) can be used to dampen or suppress detonation propagation. In detonation engines, the detonation may propagate in an inhomogeneous mixture with inert layer(s). Here, the detonation propagation in hydrogen/oxygen/nitrogen mixtures with a single inert layer normal to the detonation propagation direction was investigated. Six hydrogen/oxygen/nitrogen mixtures with different amounts of nitrogen dilution and at different initial pressures were considered. The emphasis was placed on assessing the effects of nitrogen dilution and pressure on detonation across an inert layer. It was found that successful detonation reinitiation occurs only when the inert layer thickness is below some critical value. The detonation reinitiation process was analyzed. The interactions of transverse waves, the reactive–inert layer interface, and instabilities jointly induced local autoignition/explosions and detonation reinitiation. Counterintuitively, it was found that a thicker inert layer is required to quench a weaker detonation (with more nitrogen dilution or with lower-energy density at lower pressure). With the increase of nitrogen dilution or the decrease of initial pressure, the induction length and cell size of the detonation became larger, which unexpectedly resulted in the larger critical inert layer thickness.
References
[1] , “Hydrogen as an Energy Vector,” Renewable and Sustainable Energy Reviews, Vol. 120, March 2020, Paper 109620. https://doi.org/10.1016/j.rser.2019.109620
[2] , “Recent Advances in Understanding of Flammability Characteristics of Hydrogen,” Progress in Energy and Combustion Science, Vol. 41, 2014, pp. 1–55. https://doi.org/10.1016/j.pecs.2013.10.002
[3] , “Pulsating and Cellular Instabilities of Hydrogen–Oxygen Detonations with Ozone Sensitization,” Physics of Fluids, Vol. 33, No. 7, 2021, Paper 076113.
[4] , “Extinction of Incident Hydrogen/Air Detonation in Fine Water Sprays,” Physics of Fluids, Vol. 33, 2021, Paper 116109. https://doi.org/10.1063/5.0055080
[5] , “Effects of Stretch-Chemistry Interaction on Chemical Pathways for Strained and Curved Hydrogen/Air Premixed Flames,” Combustion and Flame, Vol. 232, 2021, Paper 111532. https://doi.org/10.1016/j.combustflame.2021.111532
[6] , “Effect of Hydrogen-Rich Fuels on Turbulent Combustion of Advanced Gas Turbine,” Journal of Thermal Science, Vol. 31, No. 2, 2022, pp. 561–570. https://doi.org/10.1007/s11630-021-1539-8
[7] , “Dynamics of Premixed Hydrogen/Air Flames in Unsteady Flow,” Physics of Fluids, Vol. 34, 2022, Paper 085121. https://doi.org/10.1063/5.0098883
[8] , “Effects of Electrodes and Imposed Flow on Forced Ignition in Laminar Premixed Hydrogen/Air Mixtures with Large Lewis Number,” Proceedings of the Combustion Institute, Sept. 2022.
[9] , “Review of Hydrogen Safety During Storage, Transmission, and Applications Processes,” Journal of Loss Prevention in the Process Industries, Vol. 72, No. 3, 2021, Paper 104569. https://doi.org/10.1016/j.jlp.2021.104569
[10] , “Review on Hydrogen Safety Issues: Incident Statistics, Hydrogen Diffusion,” International Journal of Hydrogen Energy, Vol. 46, 2021, pp. 31467–31488. https://doi.org/10.1016/j.ijhydene.2021.07.005
[11] , “Flame Propagation Regimes and Critical Conditions for Flame Acceleration and Detonation Transition for Hydrogen-Air Mixtures at Cryogenic Temperatures,” International Journal of Hydrogen Energy, Vol. 47, No. 71, 2022, pp. 30,743–30,750. https://doi.org/10.1016/j.ijhydene.2022.07.024
[12] , “Propagation of Gaseous Detonation Waves in a Spatially Inhomogeneous Reactive Medium,” Physical Review Fluids, Vol. 2, No. 5, 2017, Paper 053201. https://doi.org/10.1103/PhysRevFluids.2.053201
[13] , “Interaction of Detonation with Inert Gas Zone,” Shock Waves, Vol. 6, 1996, pp. 211–223. https://doi.org/10.1007/BF02511378
[14] , “Initiation of Unconfined Gas Detonations in Hydrocarbon-Air Mixtures by a Sympathetic Mechanism,” Progress in Astronautics and Aeronautics, Vol. 75, 1980, pp. 61–72. https://doi.org/10.2514/5.9781600865497.0061.0072
[15] , “The Influence of Experimental Condition on the Reinitiation of Detonation Across an Inert Region,” Progress in Astronautics and Aeronautics, Vol. 106, 1986, pp. 109–130. https://doi.org/10.2514/5.9781600865800.0109.0130
[16] , “Physical and Mathematical Modeling of Interaction of Detonation Waves with Inert Gas Plugs,” Journal of Loss Prevention in the Process Industries, Vol. 72, 2021, Paper 104595. https://doi.org/10.1016/j.jlp.2021.104595
[17] , “Transmission of a Detonation Wave Across an Inert Layer,” Combustion and Flame, Vol. 236, 2022, Paper 111769. https://doi.org/10.1016/j.combustflame.2021.111769
[18] , “Propagation of Gaseous Detonation Across Inert Layers,” Proceedings of the Combustion Institute, Vol. 38, No. 3, 2021, pp. 3555–3563. https://doi.org/10.1016/j.proci.2020.07.022
[19] , “Effects of Lewis Number and Ignition Energy on the Determination of Laminar Flame Speed Using Propagating Spherical Flames,” Proceedings of the Combustion Institute, Vol. 32, No. 1, 2009, pp. 1253–1260. https://doi.org/10.1016/j.proci.2008.05.060
[20] , “Effects of Radiation and Compression on Propagating Spherical Flames of Methane/Air Mixtures near the Lean Flammability Limit,” Combustion and Flame, Vol. 157, No. 12, 2010, pp. 2267–2276. https://doi.org/10.1016/j.combustflame.2010.07.010
[21] , “Block-Structured Adaptive Mesh Refinement-Theory, Implementation and Application,” ESAIM: Proceedings, Vol. 34, Dec. 2011, pp. 97–150. https://doi.org/10.1051/proc/201134002
[22] , “High-Resolution Numerical Simulation and Analysis of Mach Reflection Structures in Detonation Waves in Low-Pressure -Ar Mixtures: A Summary of Results Obtained with the Adaptive Mesh Refinement Framework AMROC,” Journal of Combustion, Vol. 2011, 2011, pp. 1–18. https://doi.org/10.1155/2011/738969
[23] , “An Updated Comprehensive Kinetics Model of Hydrogen Combustion,” International Journal of Chemical Kinetics, Vol. 36, 2004, pp. 566–575. https://doi.org/10.1002/kin.20026
[24] , “Effect of Transverse Jet Position on Flame Propagation Regime,” Physics of Fluids, Vol. 33, 2021, Paper 091704. https://doi.org/10.1063/5.0063363
[25] , “Numerical Studies on Weak and Strong Ignition Induced by Reflected Shock and Boundary Layer Interaction,” Acta Mechanica Sinica, Vol. 38, 2022, Paper 121466. https://doi.org/10.1007/s10409-021-09011-x
[26] , “On the Evolutions of Triple Point Structure in Wedge-Stabilized Oblique Detonations,” Physics of Fluids, Vol. 34, 2022, Paper 067118. https://doi.org/10.1063/5.0090975
[27] , “Laminar Flame Speeds of Methane/Air Mixtures at Engine Conditions: Performance of Different Kinetic Models and Power-Law Correlations,” Combustion and Flame, Vol. 218, 2020, pp. 101–108. https://doi.org/10.1016/j.combustflame.2020.05.004
[28] , “Skeletal and Reduced Kinetic Models for Methane Oxidation Under Engine-Relevant Conditions,” Fuel, Vol. 288, 2021, Paper 119667. https://doi.org/10.1016/j.fuel.2020.119667
[29] , “Propagation of Gaseous Detonation in Spatially Inhomogeneous Mixtures,” Physics of Fluids, Vol. 33, No. 11, 2021, Paper 116105. https://doi.org/10.1016/j.combustflame.2021.02.040
[30] , “Effects of Stratification on Premixed Cool Flame Propagation and Modeling,” Combustion and Flame, Vol. 229, 2021, Paper 111394. https://doi.org/10.1016/j.combustflame.2021.02.040
[31] , “Detonation Structure in Ethylene/Air-Based Non-Premixed Rotating Detonation Engine,” Journal of Propulsion and Power, Vol. 36, No. 5, 2020, pp. 752–762. https://doi.org/10.2514/1.b37664
[32] , “Numerical Analysis of Combustion Dynamics in a Full-Scale Rotating Detonation Rocket Engine Using Large Eddy Simulations,” Journal of Energy Resources Technology, Vol. 145, No. 2, 2022, pp. 1–31. https://doi.org/10.1115/1.4055206
[33] , “Direct Initiation of Detonation with a Multi-Step Reaction Scheme,” Journal of Fluid Mechanics, Vol. 476, 2003, pp. 179–211. https://doi.org/10.1017/s0022112002002872
[34] , “Effects of Temperature Perturbation on Direct Detonation Initiation,” Proceedings of the Combustion Institute, Vol. 36, No. 2, 2017, pp. 2743–2751. https://doi.org/10.1016/j.proci.2016.06.093
[35] , “Effect of 2-Step Energy Release on Direct Detonation Initiation by a Point Energy Source in a Rich Mixture,” Combustion and Flame, Vol. 222, 2020, pp. 317–325. https://doi.org/10.1016/j.combustflame.2020.08.036
[36] , “A Study on Suppression of Detonation Propagation by Inert Gas Injection,” Proceedings of the 26th International Colloquium on the Dynamics of Explosions and Reactive Systems, 2017, Paper 1031, http://www.icders.org/ICDERS2017/abstracts/ICDERS2017-1031.pdf.
[37] , “Detonation Database,” FM97-8, GALCIT, July 1997, https://authors.library.caltech.edu/25827/.