本研究是針對純鋁與純錫，透過逆運算法以及連續迭代法配合實驗數據所量測的溫度來估算其邊界熱通量隨時間的變化。為確保其估算結果的可信度，透過一維暫態熱傳問題之解析解與數值解進行反算，並且比較及驗證其結果。
透過兩種不同的金屬鑄件以及兩種不同的邊界條件反覆進行實驗，並通過量測出來的溫度以Beck逆運算法不同步法數與連續迭代法估算出邊界熱通量並比對各方法之結果，再將估算出的熱通量藉由一維暫態熱傳問題的模式求解其溫度分佈，並與實驗之溫度分佈進行比對，以此驗證逆運算法之可行性。
由結果顯示，逆運算法與連續迭代法對於求解其邊界進出之熱通量有良好的結果，有助於日後相關研究的發展。但是由於計算方式屬於一維模式，因此對於徑向熱傳之估算會有遺漏。

This study is to estimate the change of boundary heat flux with time for pure aluminum and pure tin, measured by beck inverse and Successive substitution method combined with experimental data. In order to ensure the credibility of the estimation results, the analytical solution and the numerical solution of the one-dimensional transient heat transfer problem are inversely calculated, and the results are compared and verified.
Experiments were carried out through two different metal castings and two different boundary conditions, and the boundary heat flux was estimated by the different time steps of Beck inverse and Successive substitution method by the measured temperature and compared with each method. As a result, the estimated heat flux is solved by the one-dimensional transient heat transfer problem model and compared with the experimental temperature distribution to verify the feasibility of the Inverse methods.
The results show that the Beck inverse and Successive substitution method have good results for solving the heat flux in and out of the boundary, which is helpful for the development of related research in the future. However, since the calculation method belongs to the one-dimensional mode, there is a gap in the estimation of the radial heat transfer.

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