Semenov热着火模型的幂级数求解算法

Power series method for the Semenov thermal ignition model

针对Semenov模型的解法大多是采用近似解的问题,从数学角度求解Semenov热着火极限模型,采用幂级数方法对模型中的着火温度、着火延迟时间等临界特性参量进行求解。并且通过数据拟合的方法,推算出庚烷在化学计量的空气中,热自燃延迟时间与环境温度的计算公式。计算结果表明,该方法计算过程简洁高效,在计算工作量允许情况下,可以无限逼近真实解。

Mostly, the Semenov thermal ignition model is solved By the approximate solution. In this paper, it has Been solved by a mathematical method. Use the power series method to calculate ignition temperature, ignition delay time and other critical characteristics parameters of the thermal ignition model. And through data fitting method, the formula of thermal ignition delay time for the stoichiometric n-heptane air thermal igni tion system has been elucidated, which varies with the ambient temperature. The calculation results showed that By using this method, the calculation process for the Semenov thermal ignition model was simple and efficient, and if the amount of calculating work is sufficed, the calculation result can be infinitely close to the true solution.