Abstract
Using the successively inverted projection method, we studied the dynamics of ultralean hydrogen–air flames propagating freely in a horizontal cylindrical Hele–Shaw cell. To quantify the two revealed characteristics of the flame dynamics—the dependence of the average flame velocities on time and the dependence of the initial flame velocity on the stoichiometry of the initial hydrogen–air mixture—we proposed time and stoichiometric scaling relations. The first relation approximates the dependence of the path of the flame front in hydrogen–air mixtures with an initial hydrogen concentration exceeding a certain critical value. The second relation approximates the dependencies of the initial flame front velocities on the hydrogen concentration. The general relationships for topologically different types of ultralean hydrogen–air flames can be interpreted as additional evidence of the presence of a general mechanism for the transition from discrete fronts of isolated drifting ball flames to a quasi-continuous deflagration flame front through a cascade of bifurcations.
REFERENCES
A. von Humboldt and J. F. Gay-Lussac, J. Phys. 60, 38 (1805).
H. F. Coward and F. Brinsley, J. Chem. Soc. Trans. 105, 1859 (1914).
D. E. Mallard and H. L. le Chatelier, Ann. Mines 4, 296 (1883).
H. Bunte, Ber. Deutsch. Chem. Gesellsch. 31, 5 (1898).
P. Eitner, Doctoral Dissertation (München, 1902).
G. Bohm and K. Clusius, Z. Naturforsch. 3a, 386 (1948).
P. D. Ronney, Combust. Flame 82, 1 (1990).
P. D. Ronney, K. N. Whaling, A. Abbud-Madrid, et al., AIAA J. 32, 569 (1994).
Ya. B. Zel’dovich, Theory of Combustion and Detonation of Gases (Akad. Nauk SSSR, Moscow, 1944; Princeton Univ. Press, Princeton, 1992).
P. D. Ronney, Proc. Combust. Inst. 27, 2485 (1998).
K. Maruta, M. Yoshida, Y. Ju, et al., Proc. Combust. Inst. 26, 1283 (1996).
R. Fursenko, S. Minaev, H. Nakamura, et al., Proc. Combust. Inst. 34, 981 (2013).
Y. L. Shoshin and L. P. H. de Goey, Exp. Therm. Fluid Sci. 34, 373 (2010).
Y. Shoshin, J. van Oijen, A. Sepman, et al., Proc. Combust. Inst. 33, 1211 (2011).
F. E. Hernández-Pérez, B. Oostenrijk, Y. Shoshin, et al., Formation, Combust. Flame 162, 932 (2015).
G. Joulin and G. I. Sivashinsky, Combust. Sci. Technol. 98, 1 (1994).
J. Sharif, M. Abid, and P. D. Ronney, in Proceedings of the Spring Technical Meeting, US Sect. of Combustion Institute, March 15–17, 1999, p. 352.
J. Wongwiwat, J. Gross, and P. D. Ronney, in Proceedings of the International Colloquium on the Dynamics of Explosions and Reactive Systems ICDERS-2015 (2015), p. 258.
C. Almarcha, J. Quinard, B. Denet, et al., Phys. Fluids 27, 9 (2015).
E. Al Sarraf, C. Almarcha, B. Radisson, et al., in Proceedings of the 8th European Combustion Meeting (2017), p. 357.
M. M. Alexeev, O. Yu. Semenov, and S. E. Yakush, Combust. Sci. Technol. 191, 1256 (2019).
M. Kuznetsov and J. Grune, Int. J. Hydrogen Energy 44, 8727 (2019).
F. Veiga-Lopez, M. Kuznetsov, J. Yanez, et al., in Proceedings of the 8th International Conference on Hydrogen Safety ICHS (2019), p. 193.
F. Veiga-Lopez, M. Kuznetsov, D. Martínez-Ruiz, et al., Phys. Rev. Lett. 124, 174501 (2020).
I. Brailovsky and G. I. Sivashinsky, Combust. Flame 110, 524 (1997).
S. Minaev, L. Kagan, G. Joulin, et al., Combust. Theory Model. 5, 609 (2001).
I. A. Kirillov, in Proceedings of the Technical Meeting on Hydrogen Management in Severe Accidents in VIC, Vienna, Austria, Sept. 25–28, 2018, p. 259.
A. S. Melikhov, I. A. Kirillov, and V. P. Denisenko, RF Patent No. 2702422 C1 (2019).
I. A. Kirillov, in Proceedings of the International Conference on Hydrogen Safety ICHS-2021 (2021), p. 134.
V. P. Denisenko, S. S. Kingsep, I. A. Kirillov, et al., in Proceedings of the International Conference on Hydrogen Safety ICHS-2021 (2021), p. 128.
A. Domínguez-González, D. Martínez-Ruiz, and M. Sánchez-Sanz, Proc. Combust. Inst. (2022).
Yu. A. Gostintsev, A. G. Istratov, N. I. Kidin, and V. E. Fortov, High Temp. 37, 603 (1999).
ImageJ, Image Processing and Analysis in Java, Version 1.53t. https://imagej.net/ij/.
V. E. Borisov and S. E. Yakush, KIAM Preprint No. 004 (Keldysh Inst. Appl. Math., Moscow, 2019).
J. Huo, H. Su, L. Jiang, et al., Combust. Sci. Technol. 194, 2793 (2021).
S. Diao, X. Wen, Z. Guo, et al., ACS Omega 7, 20118 (2022).
G. Gu, J. Huang, W. Han, et al., Int. J. Hydrogen Energy 46, 12009 (2021).
P. V. Moskalev, V. P. Denisenko, and I. A. Kirillov, in Proceedings of the International Colloquium on the Dynamics of Explosions and Reactive Systems ICDERS-2022 (2022), p. 221.
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Moskalev, P.V., Denisenko, V.P. & Kirillov, I.A. Classification and Dynamics of Ultralean Hydrogen–Air Flames in Horizontal Cylindrical Hele–Shaw Cells. J. Exp. Theor. Phys. 137, 104–113 (2023). https://doi.org/10.1134/S106377612307004X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106377612307004X