突变理论应用于腔室火灾中的回燃现象

回燃是在通风受限的建筑火灾中，由于补充新鲜空气再次燃烧热烟气的现象．这种转捩现象是典型的突变行为．该文基于能量平衡方程建立了腔室火灾中回燃现象的简化数学模型，并利用突变理论建立了其突变拓扑空间函数方程，讨论了系统控制因子与工况状态之间的对应关系．结果表明回燃现象的突变形式是燕尾突变，并可依据其分岔集确定回燃现象的产生与否．

Study on Catastrophe Behavior of Backdraft in Buliding Fires

Backdraft is a fire phenomenon in which the hot gas rapidly combusts due to abruptly supplying abundant fresh air after combustion with lack of oxygen or even smoldering in vitiated compartments. This transient phenomenon is an example of typical catastrophe behavior. In this paper, A simplified mathematical model of backdraft in compartment fires is established based on energy balance equation, its catastrophe manifold function equation based on catastrophe theory is created, and the corresponding relationship between system control variables and fire operating conditions is studied. It is indicated that the catastrophe form of backdraft is swallowtail catastrophe, and whether backdraft takes place is determined based on its bifurcation set.