CRITICAL PARAMETERS OF THERMAL-EXPLOSION

被引：59

作者：

KORDYLEWSKI, W

机构：

[1] Institute of Power Engineering and Fluid Mechanics, Technical University of Wrocław

来源：

COMBUSTION AND FLAME | 1979年 / 34卷 / 02期

关键词：

D O I：

10.1016/0010-2180(79)90084-1

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

An analysis of the critical conditions of thermal explosion based on bifurcation theory for nonlinear elliptic equations is presented. It has been proved that the value of the Frank-Kamenetsky parameter δ equals the principal eigenvalue of the equation of heat conduction linearized about the point of bifurcation of the solution u(δ), which correspond to self-ignition and extinction points. From this two computational procedures for determining critical conditions of self-ignition or extinction have been worked out. Both procedures are illustrated with examples of numerical calculations. © 1979.

引用

页码：109 / 117

页数：9

共 24 条

[11] DOUNDS ON LAMBDA FOR POSITIVE SOLUTIONS OF DELTAPSI + LAMBDAF(R) [PSI + G(PSI)] = 0 [J].