非定常热传导方程的数值解法

结构中的热传导是一个广泛存在的问题,用于解热传导问题的主要方法,有节点平衡法、有限差分法和有限元法.边界解法因难于处理非均质问题,故至今仍很少用。本文用前三种方法计算受气功加热的机身实心框的温度分布,井与全尺寸试验结果比较,得出满意的结果.这说明文中采用的各种处理方法是可行的。

Numerical Solutlon to Transient Heat Conduction Equations

Heat conduction in structure is a generally existing problem, the solution to which lies usually in the following three methods: node balance method, finite difference method and finite element method. The boundary solution method is not in common use as it is difficult to solve the non-homogenous problem. This paper calculates the temperature distribution in plate frame of fuselage subjected to aerodynamic heating by means of the former three methods. The numerical results turn out to compare favorably with the full scale test, and therefore the procedure adopted in the paper is proven feasible.