Abstract
Steady deflagration waves are investigated for a mixture of four gases undergoing a bimolecular irreversible reaction. The influence of Mach number, of concentrations in the unperturbed state and of the chemical energy is shown via numerical simulations.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig1_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig2_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig3_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig4_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig5_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig6_HTML.gif)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11587-018-0375-y/MediaObjects/11587_2018_375_Fig7_HTML.gif)
Similar content being viewed by others
References
Atkins, P., De Paula, J.: Physical Chemistry. Oxford University Press, Oxford (2006)
Bisi, M., Groppi, M., Spiga, G.: Fluid-dynamic equations for reacting gas mixtures. Appl. Math. 50, 43–62 (2005)
Bisi, M., Groppi, M., Spiga, G.: Kinetic Bhatnagar–Gross–Krook model for fast reactive mixtures and its hydrodynamic limit. Phys. Rev. E 81, 036327-1–036327-9 (2010)
Bisi, M., Spiga, G.: On a kinetic BGK model for slow chemical reactions. Kinet. Relat. Models 4, 153–167 (2011)
Cercignani, C.: The Boltzmann Equation and Its Applications. Springer, New York (1988)
Chapman, S., Cowling, T.G.: The Mathematical Theory of Non-uniform Gases. Cambridge University Press, Cambridge (1970)
Conforto, F., Groppi, M., Monaco, R., Spiga, G.: Kinetic approach to deflagration processes in a recombination reaction. Kinet. Relat. Models 4, 259–276 (2011)
Conforto, F., Groppi, M., Monaco, R., Spiga, G.: Steady combustion waves driven by a recombination reaction in a gas mixture. Acta Appl. Math. 122, 127–140 (2012)
Conforto, F., Monaco, R., Ricciardello, A.: Analysis of steady combustion processes in a recombination reaction. Continuum Mech. Thermodyn. 26, 503–519 (2014)
Dixon-Lewis, G.: Flame structure and flame reaction kinetics. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 298, 495–513 (1967)
Giovangigli, V.: Multicomponent Flow Modeling. Birkäuser, Boston (1999)
Groppi, M., Rossani, A., Spiga, G.: Fluid-dynamic model equations for a gas with slow reversible bimolecular reactions. Commun. Math. Sci. 7, 143–163 (2009)
Groppi, M., Spiga, G.: A Bhatnagar–Gross–Krook-type approach for chemically reacting gas mixtures. Phys. Fluids 16, 4273–4284 (2004)
Kremer, G.M.: An Introduction to the Boltzmann Equation and Transport Processes in Gases. Springer, Berlin (2010)
Kremer, G.M., Pandolfi Bianchi, M., Soares, A.J.: A relaxation kinetic model for transport phenomena in a reactive flow. Phys. Fluids 18, 037104-1–037104-15 (2006)
Kuo, K.K.: Principles of Combustion. Wiley, Hoboken (2005)
Lee, J.H.S.: The Detonation Problem. Cambridge University Press, Cambridge (2008)
Acknowledgements
This work is performed in the frame of activities sponsored by INdAM-GNFM, by Universities of Parma, Messina, Enna “Kore”, and by Polytechnic of Turin. This paper is in honour of prof. Tommaso Ruggeri.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bisi, M., Conforto, F., Monaco, R. et al. On the steady deflagration process for a gas mixture undergoing irreversible reactions. Ricerche mat 68, 13–35 (2019). https://doi.org/10.1007/s11587-018-0375-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11587-018-0375-y