无限长圆柱非稳态导热集总参数法应用

圆柱体进行非稳态导热时，集总参数法只适用于Bi〈1的情况，Bi〉1时一般采用根据解析解绘制的Heisler图线．由于前者适用范围窄，后者误差大，探讨一个非稳态导热的实用便捷公式具有重要意义．以无限长圆柱为例，研究在0〈Bi〈∞条件下非稳态导热平均温度集总参数分析方法，定义必要的参数，建立了平均温度瞬态响应关系式．拓展了传统的非稳态导热集总参数法应用范围．数值分析给出了计算关系式的辅助参数表．通过推导出的公式，结合参数表来计算工程实际问题，比通用的Heisler图解法更为简洁方便．

Application of Lumped Parameter Analysis Method of Infinite Cylinder for Unsteady-state Heat Conduction

Lumped parameter analysis method is used when the case of Bi 〈 l and Heisler charts drawn according to analysis solution are adopted when the case of Bi 〉 1. Because the former has a narrow applied range and the latter has a grave error, how to explore a practical formula of lumped parameter analysis method of unsteady-state has important value. Under the convection boundary 0 〈 Bi 〈 ∞ , a mean temperature lumped parameter analysis method is studied and the mean temperature response formula is established taking an infinite cylinder as an example. In the paper, the traditional lumped parameter analysis method of unsteady-state is extended, the numerical analysis is discussed and the table of assistant parameters is given. The method for solving the unsteady-state conduction in the paper is more convenient than the M. P. Heisler charts.