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变条件；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数Bi→O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。
Abstract
In this paper, critical and transitional iconditions are in - troduced，according to a generalized definition of criticaiity and tran?sition of stationary~state systems. A new method for the solutions at transition for a system with generalized heat transfer conditions (Tho?mas systems) is given, using a specific method for non-linear numeri?cal intergration and the Newtonian iteration. Calculated results of tran?sitional values are given in the paper for slabs，cylinders and spheres. The advantage of the present method is that when the Blot number o (close to a Semenov system), it gives precise results, overcoming the shortcomings of other methods.
关键词
热爆炸理论 /
热点火理论 /
热爆炸判据 /
非线性计算方法 /
非线性传热学
{{custom_keyword}} /
Key words
thermal explosion theory /
thermal ignition theory /
cri?terion of thermal explosion /
non-linear calculation method /
non-linear heat-transfer
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
〔1〕冯长根，热爆炸理论，科学出版社，1988。
〔2〕Boddington, T.，Gray, P., and Robinson, C.，Proc. Roy. Soc. London, A 368, 1979，441.
〔3〕Boddington, T- 5 Feng C.-G.(冯长根），Du, Z,-M.(杜志明），Bai, C._G.(白春光），Gray,
P ，Asymptotic Analysis of the Disappearance of Criticality (Transition) at the Extreme of Small Biot Number, Proc. Roy. Soc . London, A418, 1988, 301—312.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
