本文利用有限差分法配合最小平方法及實驗量測數據來預測板鰭式熱交換器上鰭片上熱傳係數，得到結果後再利用套裝軟體進行驗證。本文探討管徑對板鰭管式熱交換器置於密閉系統及開放系統中熱傳特性的影響。本研究必須先讓整個鰭片表面分割成十二個子區塊，並且需假設給定所劃分之每個子區塊的平均熱傳係數為一未知常數。將熱電偶放置於鰭片表面所測得溫度量測值以及空氣溫度進行求解得到本文反算法預測結果。從結果可以知道兩種排列方式的熱交換器其平均熱傳係數與等溫平均熱傳係數將隨著鰭片間距增加而變大，並且會逐漸趨近一平緩之趨勢尤其在自然對流中此現象特別顯著。為了佐證本文之可靠性，本文利用商業軟體配合實驗量測數據進一步比較鰭片上溫度分佈及熱傳係數並研究適合的流動模式。

The present study applies the experimental and numerical methods to predict the average heat transfer coefficient and heat transfer coefficient under the isothermal situation on a vertical square fin of the two-row plate finned-tube heat exchangers with four circular tubes for the in-line arrangement and staggered arrangement and various fin spacing and air velocities. These tubes may not have the same temperature in the present study. Due to the non-uniform distribution of the heat transfer coefficient, the square plate fin is divided into several sub-fin regions before performing the inverse scheme, and the average heat transfer coefficient on each sub-fin region is assumed to be unknown. Later, the inverse scheme of the finite difference method in conjunction with the Least squares scheme and experimental measured temperatures is applied to determine the present results. Results show that and values increase with the air velocity and fin spacing S. Besides, the present study also applies the commercial software in conjunction with appropriate flow model, the present experimental data and inverse results to obtain more accurate results.

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