基于突变论的地铁车厢火灾中轰燃条件分析

以地铁一节车厢为研究对象,先分析地铁车厢内部的通风情况,假设其内部起火,对热烟气层建立能量守恒方程,对其无量纲化,并进行同胚微分,得到燕尾突变的势函数,并画出二维空间的突变分岔集．先根据计算数据判断是否处于系统突跳范围内,如果处于突变工况,再利用势函数的定性曲线和微商图得出系统不稳定点,从而计算出轰燃发生时热烟气层的温度,揭示了该系统具有燕尾突变的机理．

Flashover in Subway Fire Based on Catastrophe Theory

A railway carriage was taken as study object. First, the ventilation condition of the interior carriage was analyzed. Then, an equation of energy conservation was developed in the dimensionless form. At last, differentiable homomor-phism was applied to simplify it. The potential function of swallowtail catastrophe and the bifurcation in v-w coordinate plane were gained. Based on the actual data, a judgment can be made according to the value of the system parameters. The flashover temperature of the smoke-layer can be calculated by the value of the critical point, which gives expression to swallowtail catastrophe mechanism.