本研究選擇銅及自行澆鑄之錫、鋁、錫鉛合金(Sn-37wt%Pb)等金屬圓棒做為材料，並將外層包覆低熱導率玻璃纖維，使徑向熱散失最小化，達成軸向一維熱傳。為確保各逆運算(Beck逆算法及共軛梯度法)模型正確，透過一維暫態熱傳問題之解析解與數值解進行反算，觀察結果是否合理。
將材料各別以不同功率進行加熱，並配合熱電偶紀錄金屬件中心溫度，隨後先將記錄溫度代入Beck逆算法及共軛梯度法反算出邊界熱通量，再將其值以固定熱通量形式代入Beck逆算法及共軛梯度法反算出熱傳導係數並和理論值做比對。本研究亦藉由觀察結果找到減少實驗誤差的方法。
由結果可知，利用Beck逆算法及共軛梯度法估算熱傳導係數均有良好的準確度，其中Beck逆運算法在穩定性及準確率上又更為突出。但本研究為一維熱傳模式，故對於徑向熱傳之估算會有所缺失。

In this study, copper and self-cast tin, aluminum, and tin-lead alloy (Sn-37wt%Pb) are selected as materials, and the outer layer is covered with low thermal conductivity glass fiber to minimize radial heat loss and achieve axial one-dimensional Heat transfer. In order to ensure the correctness of the inverse calculations (Beck Inverse Method and Conjugate Gradient Method) models, inverse calculations are carried out through the analytical and numerical solutions of the one-dimensional transient heat transfer problem to observe whether the results are reasonable.
Heat the materials with different powers(7.5、15、30w), and use thermocouples to record the center temperature of the metal parts. Then first substitute the recorded temperature into the Beck Inverse Method and the Conjugate Gradient Method to inversely calculate the boundary heat flux, and then use the value to fix the heat flux.The form is substituted into the Beck Inverse Method and the Conjugate Gradient Method to inversely calculate the heat transfer coefficient and compare with the theoretical value. This study also found ways to reduce experimental errors by observing the results.
It can be seen from the results that the Beck Inverse Method and the Conjugate Gradient Method have good accuracy in estimating the thermal conductivity, and the Beck Inverse Method is more prominent in stability and accuracy. However, this study is a one-dimensional heat transfer model, so the estimation of radial heat transfer will be lacking.

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