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采用共轭梯度法研究了二维稳态传热系统边界温度分布和对流换热系数组合的多变量反问题,并讨论了待反演参数的初始猜测值、温度测点数目及测量误差对反演结果的影响。其中,测点处温度的计算值利用有限差分法求解导热正问题得到。数值仿真试验结果表明,所提供的求解方法对于解决多变量混合型传热学反问题具有较高的精度和较好的抗不适定性,适当减少温度测点数目以及当测量结果存在一定误差时,也能够得到比较满意的反演结果。
The conjugate gradient method is used to study the multivariate inverse problem of the boundary temperature distribution and the convective heat transfer coefficient in a two-dimensional steady-state heat transfer system. The initial guess of the parameters to be inverted, the number of temperature measurement points and the measurement error Influence of the result. Among them, the calculated temperature at the measuring point using finite difference method to solve the problem of positive heat conduction is obtained. The numerical simulation results show that the proposed method has higher precision and better anti-ill-posedness for solving the inverse problem of multivariate hybrid heat transfer. When the number of temperature measurement points is reduced and the measurement results have some errors, Also be able to get more satisfactory inversion results.