Abstract
This paper describes the method for determining flammability limits with the use of equations for diffusive-thermal stability boundaries. The key parameter responsible for the existence of flammability limits is the thermal effect produced by the combustion of gas mixtures. The thermal effect and the equation for diffusive-thermal stability boundaries are used to determine a minimum flame temperature below which combustion is impossible. Flammability limits are significantly affected by the heat capacity of components of the mixture if it is strongly dependent on temperature. For upper and lower flammability limits, a minimum flame temperature is generally different and dependent on the relative concentration and properties of the diluent. The theoretical methods for calculating flammability limits are tested according to the experimental data on the combustion of a methane–air–diluent mixture.
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References
M. G. Zabetakis, Flammability Characteristics of Combustible Gases and Vapors (Bureau of Mines, Washington, 1965).
B. Lewis and G. von Elbe, Combustion, Flames and Explosions of Gases (Academic Press, New York, 1987).
A. L. Sanshez and F. A. Williams, “Recent Advances in Understanding of Flammability Characteristics of Hydrogen (Review),” Prog. Energ. Combust. Sci. 41, 1–55 (2014).
U. J. Pfahe, M. C. Ross, J. E. Shepperd, K. O. Pasamehetoglu, and C. Unal, “Flammability Limits, Ignition Energy, and Flame Speeds in H2–CH4–NH3–N2O–O2–N2 Mixtures,” Combust. Flame 13 (1–2), 140–158 (2000).
Li Qiao, W. J. A. Dahm, M. F. Gerard, and S. O. Elane, “Burning Velocities and Flammability Limits of Premixed Methane/Air/Diluents Flames in Microgravity,” in 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, January 7–10, 2008.
V. V. Azatyan, Yu. N. Shebeko, I. A. Bolod’yan, and V. Yu. Navtsenya, “Effect of Diluents of Various Chemical Nature on the Flammability Limits of Gas Mixtures,” Fiz. Goreniya Vzryva 42 (6), 96–102 (2006) [Combust., Expl., Shock Waves 42 (6), 708–714 (2006)].
V. V. Azatyan, I. A. Bolod’yan, V. Yu. Navtsenya, and Yu. N. Shebeko, “The Dominant Role of the Competition of Branching and Termination of Reaction Chains in the Formation of the Flammability Limits of Flame Propagation,” Zh. Tekh. Fiz. 76 (5), 775–784 (2002).
V. V. Azatyan, I. A. Bolod’yan, S. N. Kopylov, N. M. Rubtsov, and Yu. N. Shebeko, “Kinetic Regimes of Developed Chain Combustion,” Fiz. Goreniya Vzryva 39 (3), 127–137 (2003) [Combust., Expl., Shock Waves 39 (3), 354–363 (2003)].
T. T. Aung and S. Kadowaki, “The Effects of Unburned-Gas Temperature and Heat Loss on the Diffusive-Thermal Instability of Premixed Flames,” J. Therm. Sci. Technol. 8 (1), 323–335 (2013).
S. Kadowaki, M. Yahata, and H. Kobayashi, “Effects of the Unburned-Gas Temperature and Lewis Number on the Intrinsic Instability of High-Temperature Premixed Flames,” J. Therm. Sci. Technol. 6 (3), 376–390 (2011).
Ya. B. Zel’dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, The Mathematical Theory of Combustion and Explosion (Nauka, Moscow, 1980) [in Russian].
F. A. Williams, Combustion Theory (The Benjamin/Cummings, San Francisco, 1985).
O. Zik and E. Moses, “Fingering Instability in Combustion: An Extended View,” Phys. Rev. E 60 (1), 518–531 (1999).
C. Kaiser, J.-B. Liu, and P. D. Ronney, “Diffusive-Thermal Instability of Counter Flow Flames at Low Lewis Number,” in 38th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, January 10–13, 2000.
E. Hu, J. Fu, L. Pan, X. Jiang, Z. Huang, and Y. Zhang, “Experimental and Numerical Study on the Effect of Composition on Laminar Burning Velocities of H2/CO/N2/CO2/Air Mixtures,” Int. J. Hydrogen Energ. 37, 18509–18519 (2012).
D. B. Spalding, Combustion and Mass Transfer (Pergamon Press, Oxford–New York, 1979).
K. O. Sabdenov and M. Erzada, “Mechanism of the Negative Erosion Effect,” Fiz. Goreniya Vzryva 49 (3), 22–33 (2013) [Combust., Expl., Shock Waves 49 (3), 273–282 (2013)].
K. O. Sabdenov, “The Nature of Flammability Limits,” Izv. Tomsk. Politekh. Univ., No. 4, 41–40 (2007).
K. O. Sabdenov and T. M. Baitasov, “The Thermal Nature of Flammability Limits,” Inzh. Fiz. Zh. 88 (3), 716–721 (2015).
M. Vidal, W. J. Rogers, J. C. Holste, and M. S. Mannan, “A Review of Estimation Methods for Flash Points and Flammability Limits,” Process Saf. Prog. 23 (1), 47–55 (2004).
A. N. Lopanov and E. A. Fanina, “Simulation of Flame Distribution Under Adiabatic Conditions,” Tekhnol. Tekhnosfer. Bezopasnosti 1 (47), 1–4 (2013); http://ipb.mos.ru.ttb.
N. N. Semenov, Chain Reactions (Nauka, Moscow, 1986).
N. M. Emanuel and D. G. Knorre, Chemical Kinetics Course (Vysshaya Shkola, Moscow, 1984) [in Russian].
G. I. Barenblatt, Ya. B. Zeldovich, and A. T. Istratov, “On the Theory of Thermal-Diffusive Instability of Laminar Flame,” Prikl. Mekh. Tekh. Fiz. 4, 21–26 (1962).
A. P. Aldushin and S. G. Kasparyan, “On the Thermal-Diffusive Instability of the Combustion Front,” Dokl. Akad. Nauk SSSR 244 (1), 67–70 (1979).
K. O. Sabdenov, “On the Thermal-Diffusive Instability of the Laminar Flame,” Inzh.-Fiz. Zh. 75 (4), 73–79 (2002).
Sh. Kondo, K. Takizawa, A. Takahashi, K. Tokuhashi, and A. Sekiya, “A Study on flammability limits of Fuel Mixtures,” J. Hazard. Mater. 155 (3), 440–448 (2008).
Sh. Kondo, K. Takizawa, A. Takahashi, K. Tokuhashi, and A. Sekiya, “Flammability Limits of Five Selected Compounds Each Mixed with HFC-125,” Fire Saf. J. 44 (2), 192–197 (2009).
E. R. Shrager, I. M. Vasenin, and K. O. Sabdenov, “Comparative Analysis of the Results of Solving the Problem of the Diffusion-Thermal Flame Instability,” Math. Tom. Polytechnic. Univ. 308 (6), 28–33 (2005).
V. A. K udinov, Engineering Thermodynamics (Vysshaya Shkola, Moscow, 2000) [in Russian].
N. N. Kalitkin, Numerical Methods (Nauka, Moscow, 1978) [in Russian].
N. B. Vargaftik, Guide on the Thermophysical Properties of Liquids and Gases (Nauka, Moscow, 1972).
Chemist’s Handbook, Ed. by B. P. Nikolskii (Khimiya, Moscow, 1982) [in Russian].
W. E. Baker, P. A. Cox, P. S. Westine, J. J. Kulesz, and R. A. Strehlow, Explosion Hazards and Evaluation (Elsevier, Amsterdam–Oxford–New York, 1983).
P. G. Demidov, V. A. Shandyba, and V. A. Shcheglov, The Combustion and Properties of Flammable Substances (Khimiya, Moscow, 1981) [in Russian].
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Original Russian Text © K.O. Sabdenov.
Published in Fizika Goreniya i Vzryva, Vol. 52, No. 4, pp. 24–35, July–August, 2016.
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Sabdenov, K.O. Determining flammability limits by analyzing diffusive-thermal flame instability. methane–air–diluent mixture. Combust Explos Shock Waves 52, 394–404 (2016). https://doi.org/10.1134/S0010508216040031
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DOI: https://doi.org/10.1134/S0010508216040031