突变理论在火灾轰燃的应用分析

为了介绍突变理论在火灾轰燃领域的应用，论文以腔体为例，描述了热平衡方程建立、无量纲化、微分同胚转换、势函数确立、二维空间的突变分岔集及其分析等环节，并对尖点突变和燕尾突变模型的应用作了分析。燕尾突变模型中包含三个控制变量：u，v，w，比尖点突变模型多一个，模拟计算得出的轰燃热烟气层温度与实际情况更相符，能很好解释腔体火灾突变现象．

Application analysis of catastrophe theory in the filed of fire disaster

In order to introduce the application of catastrophe theory in the field of fire disaster, a compartment is taken as a object, and the foundation of thermal balance equation, the dimensionless form, differentiable homomorphism.the establishment of the potential function and the bifurcation in v - w coordinate plane are described in the paper. The application of cusp and swallow catastrophe is also analyzed. The swallow catastrophe model includes three control variables u ,v, w , which has one variable more than the model of cusp catastrophe. Simulation and calculation results show that the flashover temperature of the smoke-layer meets with the actual situation, and the flashover phenomenon can be explained well by the model of swallow catastrophe.