室内火灾发展过程稳定性数值计算与分析  

Numerical Calculation and Analysis on the Stability of an Indoor Fire Process

作　　者：凌代俭[1] 阚开慧[1] 徐志坚 

机构地区：[1]扬州大学建筑科学与工程学院 [2]扬州大学基建处,江苏扬州225009

出　　处：《中国安全科学学报》2011年第3期29-33,共5页China Safety Science Journal

基　　金：江苏省科技支撑计划(BE2010699)

摘　　要：为明确轰燃现象出现前火灾所处的状态,得到轰燃发生的临界条件,基于非线性动力系统稳定性理论,针对描述火灾过程的一个典型微分方程,采用数值方法计算了系统Jacobi矩阵的特征值随时间的变化。计算结果表明在出现轰燃现象之前的火灾过程始终处于临界稳定状态。通过火灾过程的温度T（n＋1）~T（n）曲线的数值计算验证了轰然发生的临界条件,对火灾非线性动力系统的时间演化过程进行了解释。In order to define the condition of indoor fire before flashover and obtain the critical condition of flashover,a set of typical differential equations describing the fire process was investigated based on the theory of nonlinear dynamical systems.Numerical method was used to calculate the eigenvalues of Jacobi matrix of the system.The calculation result indicates that the fire process before flashover is in a critical stability.And the critical condition of flashover was verified according to the temperature curve T（n＋1）-T（n） during fire.This study can rationally explain the time evolution process of the fire dynamical system.

关 键 词：轰燃 特征值 非线性动力系统 稳定性 数值计算 

分 类 号：X932[环境科学与工程—安全科学]