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Linear stability analysis of two-reactant flames

โœ Scribed by G. Joulin; T. Mitani

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
632 KB
Volume
40
Category
Article
ISSN
0010-2180

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โœฆ Synopsis

The linear stability of two-reactant flames corresponding to cellular structure is considered within the framework of the thermal-diffusive flame model. The effect of both the deficient component and the abundant component is investigated assuming large activation energy of the overall reaction rate. The stability of two-reactant flames is governed by the perturbations of the temperature and the abundant component at the petturt~ flame front. The former depends on the departure of the Lewis number of the deficient component from unity. The latter is controlled by the stoichiometry of the mixture, the difference between Lewis numbers of two components, and the reaction orders of each reactant. The perturbation of the abundant component becomes important around the stoichiometric point or for a mixture whose deficient component has a Lewis number very close to unity. The results show that the stability behavior of two-reactant flames can be estimated by a reduced Lewis number and that cellular instability in the flame appears if the reduced Lewis number is sufficiently small.

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