Theory of Combustion by Analytical Methods for Real Chemistry

用偏微分方程组的数学方法分析了实际混合气中燃烧过程的结构和稳定性。讨论了扩散火焰、预混火焰和爆炸。通过对守恒方程的无量纲化，确定了合适的参数，通常是活化能或反应速率比。渐近分析确定了极限值并简化了守恒方程，使得无需借助数值积分即可进行解析解。推导了燃烧速度、点火或熄灭应变率、自燃延迟时间和稳定的临界条件等关注量的公式。涉及的系统包括高级烃和高级醇的燃烧，包括氮氧化物的产生，固有爆轰稳定性，以及应变对火焰的影响。推导了简化的动力学方案，分析了它们对火焰和爆轰行为的影响。

The structure and stability of combustion processes in real mixtures is analyzed using mathematical methods for partial differential equations. Diffusion flames, premixed flames, and detonations are addressed. Through nondimensionalization of the conservation equations, appropriate parameters are identified, typically activation energies or ratios of reaction rates. Asymptotic analysis identifies limiting values and simplifies the conservation equations, enabling solution analytically without resort to numerical integration. Formulas are derived for quantities of interest such as burning velocities, ignition or extinction strain rates, autoignition delay times, and critical conditions for stability. Systems addressed include combustion of higher hydrocarbons and higher alcohols including production of nitrogen oxides, intrinsic detonation stability, and influences of strain on flames. Reduced kinetic schemes are derived and their influences on flame and detonation behaviors are analyzed.