摘要
低速稳定传播火焰产生弱冲击波后的流场是自相似的，相平面守恒方程的奇异点Ｚ＝０、Ｆ＝１对应冲击波马赫数为１．本文用自适应步长的四阶Ｒｕｎｇｅ－Ｋｕｔｔａ法对相平面的控制方程积分，求得弱冲击波后流场参数分布，与声波方法得到的结果相比，在低速稳定传播火焰的条件下，两者结果完全吻合，克服了前人在该条件下所得结果的不相容性．
The flow field behind weak blast wave is self-similar generated by steady flames propagating at low speeds.Mach number of blast wave front is unity corresponding to singular point of conservative equation that Z and F are zero and unity respectively in phase plane.The fourth order adaptive Runge-Kutta approach was used to get the integral of conservative equations in phase plane and the flow parameter distribution behind blast wave front is also obtained. The results are in good agreement with those obtained through acoustic analysis under the condition of low speed flames.The incompatibility of solutions is thus solved.
基金
国家自然科学基金
