用分离变量法精确求解了有限长通电圆柱导体在第二、三类边条件下不同测试点的温度随时间的变化关系，并利 用COMSOL 多物理场仿真软件进行数值模拟，得到了温度在圆柱体内的分布图. 与实验测出的圆柱体上下表面及侧面中间 位置的温度随时间的变化关系相比，数值模拟结果与实验曲线变化趋势一致，可达到的最高温度完全符合，并与解析解所得 当通电时间足够长时系统会趋于一个稳定的极限温度分布的结果相符合.

Using the variable-separated method，the exact solution of relationship between temperature and time inside a finite length energized cylinder under the second kind and third kind boundary conditions is obtained， and through the simulation by COMSOL multi-physics software of computers，the distribution diagrams of temperature inside the cylinder are also presented. It is found that the simulation results of the surface temperature and inner temperature of the cylinder are corresponded with the experiment values，the maximum temperature of the simulation results and experiments are almost the same，which agree with the prediction of the analytic solutions.