本文之逆算法係將有限差分法(Finite difference method)與最小平方
法(Least squares scheme)並配合實驗溫度量測來估算於自然對流(Free
convection)下，點熱源(Point heat source)、對應不同傾斜(Incline angle)角
之鰭片寬度及鰭片間距之垂直矩形鰭片上的平均熱傳係數(Average heat
transfer coefficient)、總熱傳量(Total heat transfer rate)以及鰭片效率(Fin
efficiency)。於進行逆算法之前而將整個鰭片分割成數個小區域，並假設
整個小區域之平均熱傳系數為常數。而後利用本文之逆算法及實驗量測
來估算每個小區域之平均熱傳系數。結果顯示，於鰭上之自然對流平均
熱傳係數值將會隨著鰭片間距增加而增加，但熱傳效率卻會減小並趨近
於一穩定值。當鰭片寬度增加時，鰭片上之自然對流平均熱傳係數值會
變小。為了欲驗證本文可靠性，本文之預測值將與課本經驗公式或相關
研究文獻相比較。

The inverse scheme of the finite-difference method and least-squares
scheme in conjunction with experimental temperature measurements, to
estimate the average heat transfer coefficient, total heat transfer rate, and fin
efficiency on the rectangular fin for various of heat source strength, inclined
angle, fin spacing and fin width in natural convection. The whole fin divided
into several sub-fin regions, before performing the inverse scheme. The
average heat transfer coefficient on each sub-fin region is assumed to be
constant. These average heat transfer coefficients can be estimated using the
present inverse scheme and experiment temperature measurements. The
results show that the average heat transfer coefficient on a fin increases with
increasing the fin spacing, and the fin efficiency decreases with increasing
the fin spacing. Besides, the average heat transfer coefficient will decrease
with increasing fin width. To enhance the accuracy and efficiency of the
present method, a good comparison between the present estimations and
previous results is demonstrated.

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