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Inverse estimation of the unknown base heat flux in irregular fins made of functionally graded materials

机译:功能梯度材料制成的不规则翅片中未知基础热通量的逆估计

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In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle has been successfully applied to an irregular fin made of functionally graded materials to estimate the unknown base heat flux distributions by using temperatures at some measurement locations. The inverse results, in which three different base heat flux distributions are to be determined, have proven current method's capability to accurately estimate arbitrary fin-base heat flux distributions even measurement errors have been taken into account. The temperature data calculated from the direct problem are used to simulate the measured temperature. The influence of measurement errors upon the precision of the estimated results is also investigated. This method does not need any prior information on the unknown quantity, and results show that excellent estimations can be obtained for the test cases considered in this study.
机译:在这项研究中,基于共轭梯度法和差异原理的逆算法已成功应用于功能梯度材料制成的不规则散热片,以通过使用某些测量位置的温度来估算未知的基础热通量分布。相反的结果,其中三个不同的基本热通量分布将被确定,证明了当前方法的能力,即使考虑到测量误差,也可以准确地估计任意翅片基热通量分布。由直接问题计算出的温度数据用于模拟测得的温度。还研究了测量误差对估计结果精度的影响。该方法不需要有关未知数量的任何先验信息,结果表明,对于本研究中考虑的测试案例,可以获得很好的估计。

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