Physics:Zel'dovich–Liñán model
In combustion, Zel'dovich–Liñán model is a two-step reaction model for the combustion processes, named after Yakov Borisovich Zel'dovich and Amable Liñán. The model includes a chain-branching and a chain-breaking (or radical recombination) reaction. The model was first introduced by Zel'dovich in 1948[1] and later analysed by Liñán using activation energy asymptotics in 1971.[2] The mechanism reads as
- [math]\displaystyle{ \begin{align} \rm{F} + \rm{X} &\rightarrow 2\rm{X} \\ \rm{X} + \rm{X} + \rm{M} &\rightarrow 2\rm{P} +\rm{M} \end{align} }[/math]
where [math]\displaystyle{ \rm{F} }[/math] is the fuel, [math]\displaystyle{ \rm{X} }[/math] is an intermediate radical, [math]\displaystyle{ \rm{M} }[/math] is the third body and [math]\displaystyle{ \rm{P} }[/math] is the product. The first reaction is the chain-branching reaction, which is considered to be auto-catalytic (consumes no heat or releases no heat), with very large activation energy and the second reaction is the chain-breaking (or radical-recombination) reaction, where all of the heat in the combustion is released, with almost negligible activation energy.[3][4][5]
See also
References
- ↑ Zeldovich, Y. B. (1948). K teorii rasprostraneniya plameni. Zhurnal Fizicheskoi Khimii, 22(1), 27-48.
- ↑ Liñán, A. (1971). A theoretical analysis of premixed flame propagation with an isothermal chain reaction. AFOSR Contract No. E00AR68-0031, 1.
- ↑ Gubernov, V. V., Kolobov, A. V., Polezhaev, A. A., & Sidhu, H. S. (2011). Pulsating instabilities in the Zeldovich–Liñán model. Journal of mathematical chemistry, 49(5), 1054-1070.
- ↑ Tam, R. Y. (1988). Damköhler-number ratio asymptotics of the Zeldovich-Liñán model. Combustion science and technology, 62(4-6), 297-309.
- ↑ Dold, J., Daou, J., & Weber, R. (2004). Reactive-diffusive stability of premixed flames with modified Zeldovich-Linán kinetics. Simplicity, Rigor and Relevance in Fluid Mechanics, 47-60.
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