Volume 17, no. 1Pages 5 - 16

Mathematical Modelling of Flame Propagation in Hydrogen-Air Mixtures

P.E. Belyaev, M.S. Aetpaeva, Yu.M. Kovalev, E.E. Pigasov
The development of hydrogen power engineering is inextricably linked to the provision of hydrogen safety and the study of processes occurring during combustion of mixtures containing hydrogen. The use of numerical simulation allows us to study the behaviour of the system in the ranges of variation of the main parameters not covered by experimental data. This paper presents a model allowing to simulate the flow of chemically reacting continuous media verified on experimental data on flame propagation in a shock tube with orifice plates filled with hydrogen-air mixture.
Full text
Keywords
hydrogen; ignition; induction period; kinetic models.
References
1. Arutyunov V.S. Problems and Challenges of Hydrogen Energy. Combustion and Plasma Chemistry, 2021, vol. 19, no. 4, pp. 245-255. DOI: 10.18321/cpc462 (in Russian)
2. Gel'fand B.E., Popov O.E., Chajvanov B.B. Hydrogen: Combustion and Explosion Parameters. Moscow, Fizmatlit, 2008.
3. Dorofeev S.B., Sidorov V.P., Dvoinishnikov A.E., Breitung W. Deflagration to Detonation Transition in Large Confined Volume of Lean Hydrogen-Air Mixtures. Combustion and Flame, 1996, vol. 104, no. 1-2, pp. 95-110. DOI: 10.1016/0010-2180(95)00113-1.
4. Veser A., Breitung W., Engel G., Stern G., Kotchourko A. Deflagration to Detonation Transition Experiments with Hydrogen-Air Mixtures in Shock Tube and Obstacle Array Geometries. Karlsruhe, Forschungszentrum Karlsruhe GmbH, 1999.
5. Bazhenova T.V., Bragin M.V., Golub V.V., Ivanov M.F. Shock-Wave Mechanism of Spontaneous Ignition of Hydrogen in Case of Sudden Discharge From a High-Pressure Tank. High Temperature Apparatuses and Structures, 2007, vol. 45, pp. 733-740. DOI: 10.1134/S0018151X07050148 (in Russian)
6. Wang Lu-Qing, Ma Hong-Hao, Shen Zhao-Wu, et al. Experimental Study of Detonation Propagation in a Square Tube Filled with Orifice Plates. International Journal of Hydrogen Energy, 2018, vol. 43, no. 9, pp. 4645-4656. DOI: 10.1016/j.ijhydene.2018.01.080.
7. Nigmatulin R.I. Osnovy mekhaniki geterogennyh sred [Dynamics of Multiphase Media]. Moscow, Nauka, 1987. (in Russian)
8. Kovalev Yu.M., Kuropatenko V.F. Analysis of the Invariance Some Mathematical Models of Multicomponent Media. Bulletin of the South Ural State University. Series: Mathematics. Mechanics. Physics, 2012, vol. 11, pp. 4-7. (in Russian)
9. Kovalev Yu.M., Pigasov E.E. A Mathematical Model of a Gas Suspension with Chemical Transformations in the Approximation of Paired Interactions. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2014, vol. 7, no. 3, pp. 40-49. DOI:10.14529/mmp140304 (in Russian)
10. Oran E., Boris Dzh. Numerical Simulation of Reacting Flows. Cambridge, Cambridge University Press, 2000. DOI: 10.1017/CBO9780511574474
11. Warnatz J., Maas U., Dibble R.W. Combustion. Physical and Chemical Aspects, Modeling, Experiments, Formation of Pollutants. Berlin, Heidelberg, New York, Barcelona, Hong Kong, London, Milan, Paris, Singapore, Tokyo, Springer Science and Business Media, 2006.
12. Hirschfelder J.O., Curtiss C.F., Bird R.B. The Molecular Theory of Gases and Liquids. New York, Wiley, 1954.
13. Belyaev P.E., Makeeva I.R., Pigasov E.E, Mastyuk D.A. Adaptation of Kuropatenko Method for Calculating Shock Waves in Euler Coordinates. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2021, vol. 14, no. 1, pp. 83-96. DOI: 10.14529/mmp210107 (in Russian)
14. Ryabinin V.K., Kovalev Yu.M. Mathematical Modeling of the Adiabatic Induction Period for Oxygen-Methane Mixtures in a Wide Range of Initial Pressures and Temperatures. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2013, vol. 6, no. 1, pp. 56-71. (in Russian)
15. Pigasov E.E., Ryabinin V.K., Kovalev Yu.M. Mathematical Modeling of an Adiabatic Thermal Explosion for a Hydrogen Oxidation Reaction. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2013, vol. 6, no. 3, pp. 130-135. (in Russian)
16. Zel'dovich Ya.B., Barenblatt G.I., Librovich B.B., Makhiviladze G.M. Matematicheskaya teoriya goreniya i vzryva [Mathematical Theory of Combustion and Explosion]. Moscow, Nauka, 1980. (in Russian)
17. Ibragimova L.B., Smekhov G.D., Shatalov O.P. Comparative Analysis of the Rate Constants of chemical Reactions Describing Gorenje Hydrogen-Oxygen Mixtures. Physico-Chemical Kinetics in Gas Dynamics, 2009, vol. 8, 25 p.
18. Dimitrov V.I. Prostaya kinetika [Simple Kinetics]. Novosibirsk, Nauka, 1982. (in Russian)
19. Babushok V.I. Dakdancha A.N. Testovye primery Modelirovaniya Kinetiki Slozhnyh Reakcij [Test Examples of Modeling the Kinetics of Complex Reactions]. Krasnoyarsk, 1990. (in Russian)
20. Babushok V.I., Krahtinova T.V., Babkin V.S. The Structure of the Limit of Chain-Thermal Self-Ignition. Kinetika i kataliz, 1984, vol. 25, no. 1, p. 5-12. (in Russian)
21. Mullins B.P. Studies of the Spontaneous Ignition of Fuels Injected into a Bot Air Stream. NATO AGARD AG S/P2, 1952.
22. Patch R.W. Shock Tube Measurement of Dissociation on Rates of H2-J chem. Journal of Chemical Physics, 1962, no. 7, 6 p. DOI: 10.1063/1.1701291
23. Porowski R., Teodorczyk A. Experimental Study on DDT for Hydrogen-Methane-Air Mixtures in Tube with Obstacles. Journal of Loss Prevention in the Process Industries, 2013, vol. 26, no. 2, p. 374-379. DOI: 10.1016/j.jlp.2012.06.004
24. Kee R.J., Rupley F.M., Meeks E., Miller J.A. Chemkin-III: A Fortran Chemical Kinetics Package for the Analysis of Gas-Phase Chemical and Plasma Kinetics. Springfield, Sandia National Laboratories, 1996.