基于顺序函数法的圆管内部流体温度反演

本文利用顺序函数法(SFSM)对二维圆管内近壁面流体温度和对流换热系数进行快速反演。通过数值实验验证了导热反问题程序的精确性，探讨了测量噪声对反演结果的影响。结果表明：该方法能精确反演得到圆管近壁面流体温度和对流换热系数；当存在测量噪声时，反演值在真实值之间来回波动，波幅随测量噪声的增大而略有增大。在有或无测量误差条件下，近壁面流体温度的反演平均相对误差均在1%左右，而对流换热系数的反演精度略差一些，其平均相对误差均小于20%，说明该反演程序具有一定的抗噪性。

Estimating Fluid Temperature of Pipe Based on Sequential Function Specification Method

The sequential function specification method (SFSM) was used to quickly invert the near-wall fluid temperature and heat transfer coefficient of two-dimensional pipe. The accuracy of the inverse heat conduction problem was verified by numerical experiment. Meanwhile, the influence of measurement noises on inversion results was discussed. The inversion results show that SFSM can accurately obtain the fluid temperature and convective heat transfer coefficient near the inner wall of pipe. When the measurement noises exist, the inversion value fluctuates in the real value and the amplitude slightly increases with the noises. The average relative error of the estimated fluid temperature near the wall is about 1% with or without measurement noises, while the inversion accuracy of the convective heat transfer coefficient is slightly worse, but the average relative error is less than 20%. It means that the inversion program has a certain anti-noise performance.