摘要
本文从定态临界性及转变性的一般定义出发,给出了临界条件及转交条件;结合非线性数值积分的特殊方法及牛顿迭代法,构造了一种新的求解普适热传递条件下热爆炸系统(Thomas系统)转变点的方法;给出了平板、圆柱和球形热爆炸系统转变值的计算结果。本文的计算方法在Biot教Bi→0时(接近于Semenov系统),仍能给出精确的结果,弥补了其它方法的缺陷。
In this paper, critical and transitional conditions are introduced, according to a generalized definition of criticality and transition of stationary-state systems. A new method for the solutions at transition for a system with generalized heat transfer conditions (Thomas systems) is given, using a specific method for non-linear numerical intergration and the Newtonian iteration. Calculated results of transitional values are given in the paper for slabs, cylinders and spheres. The advantage of the present method is that when the Biot number Bi→0 (close to a Semenov system), it gives precise results, overcoming the shortcomings of other methods.
出处
《兵工学报》
EI
CAS
CSCD
北大核心
1991年第2期63-70,共8页
Acta Armamentarii
基金
中国科学院青年奖励研究基金
关键词
热爆炸理论
热点火理论
thermal explosion theory, thermal ignition theory, criterion of thermal explosion, non-linear calculation method, non-linear heat-transfer
