热爆炸转变现象及转变点的计算

兵工学报 ›› 1991, Vol. 12 ›› Issue (2): 63-70.

热爆炸转变现象及转变点的计算

杜志明、曾庆轩、冯长根

北京理工大学

收稿日期:1989-11-01 修回日期:1990-12-01 上线日期:2014-12-25
通讯作者: 杜志明
基金资助:
中国科学院青年奖励研究基金

Ihe Phenomenon of Transition in Thermal Explosions and Calculation of the Transitional Points

Du Zhiming、 Zeng Qingxuan、 Feng Changgen

Beijing Institute of Technology

Received:1989-11-01 Revised:1990-12-01 Online:2014-12-25
Contact: Du Zhiming

摘要/Abstract

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。

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

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.

Key words: thermal explosion theory, thermal ignition theory, cri?terion of thermal explosion, non-linear calculation method, non-linear heat-transfer

杜志明、曾庆轩、冯长根. 热爆炸转变现象及转变点的计算[J]. 兵工学报, 1991, 12(2): 63-70.

Du Zhiming、 Zeng Qingxuan、 Feng Changgen. Ihe Phenomenon of Transition in Thermal Explosions and Calculation of the Transitional Points[J]. Acta Armamentarii, 1991, 12(2): 63-70.