STUDY ON STRUCTURE OF SINGULAR POINTS OF LAMINAR FLAME SYSTEM

Under some certain assumptions, the physical model of the air combustion system was simplified to a laminar flame system. The mathematical model of the laminar flame system, which was built according to thermodynamics theory and the corresponding conservative laws, was studied. With the aid of quali...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2005-05, Vol.26 (5), p.679-684
Main Author: 王秀娥 殷先军
Format: Article
Language:English
Subjects:
Reyleigh曲率
奇异点
层流焰
数学模型
热力学
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Summary:Under some certain assumptions, the physical model of the air combustion system was simplified to a laminar flame system. The mathematical model of the laminar flame system, which was built according to thermodynamics theory and the corresponding conservative laws, was studied. With the aid of qualitative theory and method of ordinary differential equations, the location of singular points on the Rayleigh curves is determined,the qualitative structure and the stability of the singular points of the laminar flame system,which are located in the areas of deflagration and detonation, are given for different parameter values and uses of combustion. The phase portraits of the laminar flame system in the reaction-stagnation enthalpy and combustion velocity-stagnation enthalpy planes are shown in the corresponding figures.
ISSN:0253-4827
1573-2754
DOI:10.1007/bf02466344