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中文摘要：
构建了一种基于已知T型管道外壁面瞬时温度,反演管道内壁面瞬态温度的导热反问题数学模型和求解方法。利用有限单元法对管道模型进行离散,并利用共轭梯度法求解非稳态导热反问题。利用正问题得到的外壁面瞬态温度的数值结果作为反问题的输入条件,反演得到内壁面瞬态温度,此反演结果与作为边界条件的内壁面瞬态温度值进行了对比分析,对比结果显示反演值与作为边界条件的内壁面真实温度值吻合良好,说明导热反问题具有一定的准确性。
英文摘要：
A mathematical model of inverse heat conduction problem is presented to identify unsteady temperature of inner wall of a T-junction according to the known the temperature of outer wall.Finite element method was utilized to discrete pipeline.Inverse unsteady heat conduction problem was solved using the conjugate gradient method（CGM）.Numerical results of unsteady temperature of outer wall for direct problem were used as input conditions of inverse problem.Inner wall temperature was inversely obtained.Comparisons of inner wall unsteady temperature of inverse problem with direct problem were conducted and analyzed.The results show that inner wall temperatures of inverse problem are very good agreement with those of direct problem which indicates that inverse heat conduction problem has certain accuracy.
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