| 采用格林函数求解二维管内壁温度导热反问题 |
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| 引用本文： | 李娟,殷海峰.采用格林函数求解二维管内壁温度导热反问题[J].核动力工程,2021,42(4):166-170. |
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| 作者姓名： | 李娟 殷海峰 |
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| 作者单位： | 上海核工程研究设计院有限公司，上海， 200233 |
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| 摘 要： | 核电厂某些管道系统不允许通过开孔安装温度传感器来测量管道内壁温度，需要通过间接无损的方法来获得管道内壁的温度波动。基于格林函数法进行导热反问题分析，利用二维管外壁温度反向推导内壁温度。通过算例验证，并与共轭梯度法进行对比。结果表明，采用格林函数法能够准确地获得管道内壁温度波动；对于采用共轭梯度法难以收敛的厚壁管导热反问题也同样适用，并且由于无需迭代，因此计算效率高很多，更适用于核电厂疲劳监测计算。
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| 关 键 词： | 导热反问题 热分层 格林函数 共轭梯度 |
| 收稿时间： | 2020-05-11 |
Estimation of Inner Wall Temperature in a Two-Dimensional Pipeline for Inverse Heat Conduction Problem Based on Green’s Function |
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| Affiliation: | Shanghai Nuclear Engineering Research & Design Institute Co., Ltd., Shanghai, 200233, China |
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| Abstract: | It is not allowed to install the temperature sensor through the opening pore in the pipe to measure the inner wall temperature for some pipe systems in nuclear power plants, and thus it is necessary to find an indirect and non-destructive method to obtain the inner wall temperature fluctuations. The inverse heat conduction problem is analyzed based on Green’s function to achieve the inner wall temperature according to the out wall temperature of the pipeline. It is verified by examples and compared with the conjugate gradient method. Results show that the Green’s function method can accurately catch the inner wall temperature fluctuation of the pipe and is applicable for the thicker wall pipe inverse heat conduction problem which is difficult to converge used by the conjugate gradient method. And because there is no need for iteration, the calculation efficient is much higher, which is more suitable for the fatigue monitoring calculation in nuclear power plants. |
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