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本文对小火球在均匀可燃混气中点火的较普遍的非定常球对称的基本方程组进行了无量纲化和数值计算,方程组中包含五个浓度方程。计算中采用变比热和变输运系数,通过无量纲化得到临界点火直径与压力及化学反应速率常数的关系,数值计算得到了各种当量比下温度分布及浓度分布随时间的变化规律,得到了临界点火直径与混气当量比的关系,与其它文献的实验数据符合较好。本文还指出了氧气和燃料的反应级数的不同取值对于计算结果的影响,并与其它作者的实验数据进行了比较。
In this paper, the non-dimensional and numerical calculation of the more general unsymmetrical spherical symmetric basic equations of ignition of small fireballs in uniform combustible mixture gas are carried out. The equations contain five concentration equations. The relationship between the critical ignition diameter and the pressure and chemical reaction rate constants is obtained through the non-dimensionalization. The temperature distribution and concentration distribution under different equivalence ratios are numerically calculated with time, The relationship between the critical ignition diameter and the gas mixture equivalence ratio is obtained, which is in good agreement with the experimental data of other literatures. The paper also points out the influence of different values of oxygen and fuel reaction series on the calculation results, and compares them with the experimental data of other authors.