共轭梯度法求解竖直环隙间多孔介质的传热反问题

Conjugate gradient method for porous medium inverse heat conduction in vertical annular space

提出一种反演多孔介质热物性参数的一般数值模式。采用有限体积法对竖直环隙间多孔介质模型进行离散化,通过SIMPLE算法获得竖直环隙间多孔介质传热系统的温度场和流体的速度场。通过构建误差信息最小化函数,建立反演模型。利用共轭梯度法对单宗量和多宗量的多孔介质热物性参数进行了反演,并讨论了待反演参数的初始猜测值、温度测点数、温度测量误差等对反演结果的影响。

The numerical inversion model of thermal properties parameters of porous medium was obtained.The heat-transfer equation of porous medium in vertical annular space was discretized by the finite volume method.Temperature field of heat transfer characteristics of porous media and velocity field of fluid were obtained by SIMPLE algorithm.The inversion model was established by minimizing error functions.The single variable and multi-variables of thermal properties parameters of porous medium were inverted by conjugate gradient method.The effects of initial gausses,the numbers of temperature measured point and temperature measured error on the inversion results of thermal properties parameters were discussed.