F-K热着火模型的解析求解及其在舰船防火设计中的应用

Analytic solution of F-K thermal ignition model and its application in ship fireproofing design

利用解析方法对具有在无限大平面和无限长圆柱形状反应体系的F-K热着火模型的临界着火参数进行了求解,并对舰船上符合无限大平面和无限长圆柱形状反应体系条件的典型场所进行了最低耐温计算。解析求解及算例分析的结果表明:该热着火模型可通过解析方法直接求解,而不用复杂的数值逼近方法;在对具有简单几何形状的反应体系进行防火设计和火灾风险评估时可以直接应用F-K热着火模型进行计算,从而减去了复杂而繁琐的大型数值仿真工作。

The analytic method is used for the solution ot the critical ignmon parameters of the F-X thermal ignition model with an infinite plane and infinite long cylindrical-shape reaction system. And it is also used to calculate the low temperature resistance of two typical places of a ship which conform to the infinite plane and infinite long cylindrical-shape conditions. The analytical solution process and the calculation result show that the analytic method can be used directly to solve the F-K thermal igni- tion model with the infinite plane and infinite long cylindrical reaction system instead of the complex numerical approximation method. In the fire proof design and fire risk assessment of the places with simple geometric shapes, the F-K thermal ignition model can be directly adopted for calculation thus not to do large-scale complicated and tedious numerical simulations.