Estimation of Inner Wall Temperature in a Two-Dimensional Pipeline for Inverse Heat Conduction Problem Based on Green’s Function

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.