We examined in this work the combined effects of chemical reaction order n and the stoichiometric mixture fraction $Z_s$ on the propagation of nonpremixed edge flames in a counterflow configuration. We began by formulating the problem mathematically using the constant density thermo-diffusive model. The problem was then solved numerically using the finite element method. It has been shown that the reaction order and stoichiometry have an interchangeable role in modifying flame propagation. The study has shown that triple flames exist only for a limited range of values of both the chemical reaction order n and the stoichiometric mixture fraction $Z_s$. Over such values, modifying n and $Z_s$ were found to have a great impact on many characteristics related to the flame structure, such as the flame location, the extent of both the premixed flame wings and the trilling diffusion flame, and the flame curvature. In addition, the flame location was found to vary subjected to the value of the reaction order in a manner similar to that observed by varying the mixture fraction. The study also identified the influence of the fuel Lewis number ${\mathrm{L}\mathrm{e}}_{\mathrm{F}}$ on the flame propagation and was found that the effect of ${\mathrm{L}\mathrm{e}}_{\mathrm{F}}$ is more pronounced when the reaction order differs from unity. Finally, the study has examined the role of the strain rate on the flame propagation and concluded that the effect of the chemical order n is negligible for stoichiometric mixtures but tends to be significant for off-stoichiometric mixtures.

我们在这项工作中检查了化学反应阶数n和化学计量混合分数的综合影响$Z_{秒}$非预混边缘火焰在逆流配置中的传播。我们首先使用恒定密度热扩散模型在数学上制定问题。然后使用有限元方法数值求解该问题。已经表明，反应顺序和化学计量在改变火焰传播方面具有可互换的作用。研究表明，三重火焰仅存在于化学反应级数n和化学计量混合分数的有限范围内$Z_{秒}$. 在这些值上，修改n和$Z_{秒}$发现对许多与火焰结构相关的特性有很大影响，例如火焰位置、预混火焰翼和颤动扩散火焰的范围以及火焰曲率。此外，发现火焰位置随反应级数的值而变化，其方式类似于通过改变混合物分数所观察到的方式。该研究还确定了燃料路易斯数的影响${\mathrm{升}\mathrm{电子}}_{\mathrm{F}}$ 对火焰传播的影响，并发现 ${\mathrm{升}\mathrm{电子}}_{\mathrm{F}}$当反应顺序与统一不同时，更明显。最后，该研究检查了应变速率对火焰传播的作用，并得出结论，化学顺序n的影响对于化学计量混合物可以忽略不计，但对于非化学计量混合物往往很重要。