Influence of gas expansion on the velocity and stability limits of stationary curved flames in channels

References

• Akkerman, V., C. K. Law, and V. Bychkov. 2011. Self-similar accelerative propagation of expanding wrinkled flames and explosion triggering. Phys. Rev. E 83 (2):026305 doi:10.1103/PhysRevE.83.026305.
   Web of Science ®Google Scholar
• AlKhabbaz, M., F. Kodakoglu, D. Valiev, and V. Akkerman. 2022. Impacts of wall conditions on flame acceleration at the early stages of burning in channels. Phys. Rev. Fluids 7 (1):013201. doi:10.1103/PhysRevFluids.7.013201.
   Web of Science ®Google Scholar
• Almarcha, C., B. Denet, and J. Quinard. 2015. Premixed flames propagating freely in tubes. Combust. Flame 162 (4):1225–33. doi:10.1016/j.combustflame.2014.10.010.
   Web of Science ®Google Scholar
• Bauwens, C. R., J. M. Bergthorson, and S. B. Dorofeev. 2015. Experimental study of spherical-flame acceleration mechanisms in large-scale propane–air flames. Proc. Combust. Inst 35 (2):2059–66. doi:10.1016/j.proci.2014.06.118.
   Web of Science ®Google Scholar
• Blinnikov, S. I., and P. V. Sasorov. 1996. Landau-Darrieus instability and the fractal dimension of flame fronts. Phys. Rev. E 53 (5):4827. doi:10.1103/PhysRevE.53.4827.
   Web of Science ®Google Scholar
• Bychkov, V. V. 1998. Nonlinear equation for a curved stationary flame and the flame velocity. Phys. Fluids 10 (8):2091–98. doi:10.1063/1.869723.
   Web of Science ®Google Scholar
• Bychkov, V. V., K. A. Kovalev, and M. A. Liberman. 1999. Nonlinear equation for curved nonstationary flames and flame stability. Phys. Rev. E 60 (3):2897. doi:10.1103/PhysRevE.60.2897.
   Web of Science ®Google Scholar
• Bychkov, V. V., and M. A. Liberman. 2000. Dynamics and stability of premixed flames. Phys. Rep 325 (4):115–237. doi:10.1016/S0370-1573(99)00081-2.
   Google Scholar
• Coward, H. F., and F. J. Hartwell. 1932. 277. Studies in the mechanism of flame movement. Part I. The uniform movement of flame in mixtures of methane and air, in relation to tube diameter. J. Chem. Soc. (Resumed) 1996–2004. doi:10.1039/jr9320001996.
   Google Scholar
• Denet, B., and P. Haldenwang. 1995. A numerical study of premixed flames Darrieus-Landau instability. Combust. Sci. Tech 104 (1–3):143–67. doi:10.1080/00102209508907714.
   Web of Science ®Google Scholar
• Feng, R., R. Zhang, and D. Valiev. 2019. Effect of gas expansion on the fractal structure of outwardly propagating flames. In 12th Asia-Pacific Conference on Combustion, ASPACC 2019, Fukuoka, Japan, Combustion Institute, July 1-5.
   Google Scholar
• Gostintsev, Y. A., A. G. Istratov, and Y. V. Shulenin. 1988. Self-similar propagation of a free turbulent flame in mixed gas mixtures. Combust. Explos. Shock Waves 24 (5):563–69. doi:10.1007/BF00755496.
   Web of Science ®Google Scholar
• Gu, G., J. Huang, W. Han, and C. Wang. 2021. Propagation of hydrogen–oxygen flames in Hele-Shaw cells. Int. J. Hydrog. Energy 46 (21):12009–15. doi:10.1016/j.ijhydene.2021.01.071.
   Web of Science ®Google Scholar
• Jordan, T., L. Bernard, D. Cirrone, S. Coldrick, A. Friedrich, S. Jallais, M. Kuznetsov, C. Proust, A. Venetsanos, and J. Wen. 2021. Results of the pre-normative research project PRESLHY for the safe use of liquid hydrogen. In 9th International conference on hydrogen safety (ICHS 2021), Edinburgh, Scotland, 21­-24 September 2021 (pp. 189–207).
   Google Scholar
• Kagan, L., and G. Sivashinsky. 2017. Transition to detonation of an expanding spherical flame. Combust. Flame 175:307–11. doi:10.1016/j.combustflame.2016.06.001.
   Web of Science ®Google Scholar
• Kazakov, K. A., and M. A. Liberman. 2002. Effect of vorticity production on the structure and velocity of curved flames. Phys. Rev. Lett 88 (6):064502. doi:10.1103/PhysRevLett.88.064502.
   PubMed Web of Science ®Google Scholar
• Kazakov, K. A. 2005. On-shell description of stationary flames. Phys. Fluids 17 (3):032107. doi:10.1063/1.1864132.
   Web of Science ®Google Scholar
• Kazakov, K. A., and O. G. Kharlanov. 2018. Numerical study of strongly-nonlinear regimes of steady premixed flame propagation. The effect of thermal gas expansion and finite-front-thickness effects. Combust. Theory Model 22 (5):835–61. doi:10.1080/13647830.2018.1458994.
   Web of Science ®Google Scholar
• Kuznetsov, M., and J. Grune. 2019. Experiments on combustion regimes for hydrogen/air mixtures in a thin layer geometry. Int. J. Hydrog. Energy 44 (17):8727–42. doi:10.1016/j.ijhydene.2018.11.144.
   Web of Science ®Google Scholar
• Law, C. K. 2010. Combustion physics. New York: Cambridge university press.
   Google Scholar
• Liberman, M., V. Bychkov, S. Golberg, and D. Book. 1994. Stability of a planar flame front in the slow-combustion regime. Phys. Rev. E 49:445–53. doi:10.1103/PhysRevE.49.445.
   Web of Science ®Google Scholar
• Liberman, M. A., M. F. Ivanov, O. E. Peil, D. M. Valiev, and L.-E. Eriksson. 2003. Numerical studies of curved stationary flames in wide tubes. Combust. Theory Model 7 (4):653–76. doi:10.1088/1364-7830/7/4/004.
   Web of Science ®Google Scholar
• Liberman, M. A., M. F. Ivanov, O. E. Peil, D. M. Valiev, and L.-E. Eriksson. 2004. Self-acceleration and fractal structure of outward freely propagating flames. Phys. Fluids 16 (7):2476–82. doi:10.1063/1.1729852.
   Web of Science ®Google Scholar
• Matalon, M., and B. J. Matkowsky. 1982. Flames as gasdynamic discontinuities. J. Fluid Mech 124 (1):239–59. doi:10.1017/S0022112082002481.
   Google Scholar
• Modestov, M., V. Bychkov, D. Valiev, and M. Marklund. 2009. Growth rate and the cutoff wavelength of the Darrieus-Landau instability in laser ablation. Phys. Rev. E 80 (4):046403. doi:10.1103/PhysRevE.80.046403.
   Web of Science ®Google Scholar
• Pan, K. L., and R. Fursenko. 2008. Characteristics of cylindrical flame acceleration in outward expansion. Phys. Fluids 20 (9):094107. doi:10.1063/1.2981837.
   Web of Science ®Google Scholar
• Pelce, P., and P. Clavin. 1982. Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech 124 (1):219–37. doi:10.1017/S002211208200247X.
   Google Scholar
• Sivashinsky, G. I. 1977. Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations. Acta Astronaut 4 (11):1177–206. doi:10.1016/0094-5765(77)90096-0.
   Web of Science ®Google Scholar
• Sivashinsky, G. I., and P. Clavin. 1987. On the nonlinear theory of hydrodynamic instability in flames. Journal de Physique 48 (2):193–98. doi:10.1051/jphys:01987004802019300.
   Google Scholar
• Thual, O., U. Frisch, and M. Hénon. 1988. Application of pole decomposition to an equation governing the dynamics of wrinkled flame fronts. In Dynamics of curved fronts, ed. P. Pelcé, 489–98. San Diego: Academic Press.
   Google Scholar
• Travnikov, O. Y., V. V. Bychkov, and M. A. Liberman. 2000. Numerical studies of flames in wide tubes: Stability limits of curved stationary flames. Phys. Rev. E 61 (1):468. doi:10.1103/PhysRevE.61.468.
   Web of Science ®Google Scholar
• Uberoi, M. S. 1959. Flow field of a flame in a channel. The Physics of Fluids 2 (1):72–78. doi:10.1063/1.1724395.
   Web of Science ®Google Scholar
• Valiev, D. 2008. Flame dynamics and deflagration-to-detonation transition. PhD thesis.
   Google Scholar
• Wu, M. H., and C. Y. Wang. 2011. Reaction propagation modes in millimeter-scale tubes for ethylene/oxygen mixtures. Proc. Combust. Inst 33 (2):2287–93. doi:10.1016/j.proci.2010.07.081.
   Google Scholar
• Wu, M. H., and W. C. Kuo. 2013. Accelerative expansion and DDT of stoichiometric ethylene/oxygen flame rings in micro-gaps. Proc. Combust. Inst 34 (2):2017–24. doi:10.1016/j.proci.2012.07.008.
   Web of Science ®Google Scholar
• Yu, R., X. S. Bai, and V. Bychkov. 2015. Fractal flame structure due to the hydrodynamic Darrieus-Landau instability. Phys. Rev. E 92 (6):063028. doi:10.1103/PhysRevE.92.063028.
   Web of Science ®Google Scholar
• Zeldovich, Y. B., A. G. Istratov, N. I. Kidin, and V. B. Librovich. 1980. Flame propagation in tubes: Hydrodynamics and stability. Combust. Sci. Tech 24 (1):1–13. doi:10.1080/00102208008952419.
   Web of Science ®Google Scholar