本文主要是應用混合拉氏轉換法( Laplace transform method )和有限差分法( Finite-difference method )的數值方法，並配合最小平方法( Least-squares scheme )及溫度量測值來預測鰭管式熱交換器之圓管上的熱傳係數。

　　本文之混合逆向方法乃先利用拉氏轉換法處理系統的時間域，而後再以有限差分法處理空間域，因而可求得在拉氏轉換領域內的差分方程式，最後再以高斯消去法與數值逆拉氏轉換法求得圓柱表面上之溫度分佈。由於拉氏轉換法的應用，故可求得任一特定時間的溫度值，而不需要由初始時間慢慢地求解。在反算過程中以最小平方法來修正預測值直至計算溫度和量測溫度之相對誤差小於某一容許誤差，以求得準確的熱傳係數。本文以自行設計之實驗設備來量取實心圓柱與具鰭片之實心圓柱之圓柱表面上的溫度分佈。而後根據這些數據配合上述之混合逆向方法來估算圓柱表面上之熱傳係數，並探討風速與鰭片等因素對熱傳係數預測值之影響。

　　The present study applies the laplace transform method and the finite-difference method in conjunction with the least-squares scheme and temperature measurements to estimate the heat transfer coefficient on the tube of finned-tube heat exchangers.

　　In the hybrid inverse scheme of the present thesis, the laplace transform method is first applied to deal with the time domain and then the resulting differential equations are solved by using the finite-difference method. Finally, the temperature distribution on the cylinder can be obtained from the gauss elimination scheme and the numerical inversion scheme of the laplace transform. Due to the application of the laplace transform, the temperature value at any specific time can be determined without step-by-step computation from the initial time. In order to obtain a more accurate heat transfer coefficient, the least-squares scheme is applied to correct the predicted values until the relative error between the calculated temperature and the temperature measurements is less than a tolerant value. An experimental apparatus in this thesis is devised in order to measure the temperature on the surface of the cylinder. The heat transfer coefficients of the cylinder can be estimated by using this scheme. And we discussed how the predicted heat transfer coefficients are affected by velocity of win and fin.

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