固体推进剂非稳态燃烧模型数值特性

NUMERICAL CHARACTERISTICS OF A THERMAL-WAVE COMBUSTION MODEL FOR SOLID PROPELLANT

在修改的KTSS燃烧模型的基础上,研究了热波燃烧模型的数值特性。在大幅度改变压力变化速率参数（β）和热释放参数（H）下,计算结果显示：1）在大β值时,燃速并未发散溢出,直到β=∞,燃速仍然是一个有限值,在一个峰值波动之后,趋向于稳态燃速。2）在增大H值时,燃速的不稳定是逐渐增加的。当H＜1时,燃速振荡后最终回到稳态值；当1＜H＜1．045时,燃速是一系列重复、有限的尖峰；但当H≥1．045时,燃速发散。

To estlmate posslble dynamic effects,numerical solutions for a typical thermal-wavecombustlon model(a modified KTSS)are obtained for a series of example cases. Onesignificant resultis that the effect of a dynamic factor,related to the magnitude of dp/dt,do not generate and unstableburning rate response. Another interesting result is that the larger the heat release parameter(H) isthe larger the temperature or buning rate responses. Intrinsic burning rate instability can occur forrelatively large values of H. A stable regime mathematically to this model was misleading because ofnumerlcal difficulty. Exact numerical solutions of the present model have confirmed that the burningrate amplitude increases with increasing H for B= 1 and m = 6. The burning rate with oscillationapproaches apn when H<1. 0. However, when 1<H< 1. 045, the state of burning rate is composed ofrepeated, amIJlitude spikes even though the numerical solution remains finite. When H> 1. 044, anunstable burnlng rate resPonse is generated.