本論文主要利用商業套裝軟體CFD-RC建立壓電風扇模型，透過拉凡格式法並以降低鰭片之最高溫度為目的來反算出其最佳化之扇葉擺放位置以及最佳化扇葉形狀。
本論文共分成兩個主題，在第三章中探討壓電風扇扇葉相對於鰭片擺放最佳位置的問題，吾人針對扇葉的上下以及左右位置的移動做探討，故初始位置即擺放於相對於鰭片中心的左上方、右上方、正上方以及中點四個位置，再利用反算法－拉凡格式法設計得到的最佳化之擺放位置，可以提高風扇的散熱效能藉以降低鰭片之最高溫度
在第四章中為了數值與實驗的部分做驗證比較，將以數值模擬中的初始的位置與反算後得到的最佳化扇葉位置進行實驗，最後再利用紅外線熱像儀進行測量，然後與CFD-ACE+ 模擬解得的鰭片底部中心點溫度(此點為鰭片最高溫度之所在)進行驗證。
在第五章中，主要利用拉凡格式法配合改變控制點變化B-Spline(雲形線)曲線，再給予一個能夠降低之目標溫度以及扇葉面積限制，此時變數則有形狀以及位置兩種，算出一最佳化形狀之扇葉，但模擬結果顯示主要使鰭片底部中心點溫度下降的原因仍是以扇葉擺放位置為主，雖然說扇葉形狀散熱效果不佳，但對於散熱效能來說仍有一定程度的幫助。

The objective of this thesis is to utilize the commercial package CFD-ACE+ to construct the computational model for piezoelectric fans, then applied the technique of Levenberg-Marquardt method (LMM) to estimate the optimal location and blade shape for piezoelectric fan to lower the fin temperatures.
There are two research topics in this thesis. In chapter three, the optimal location of piezoelectric fan is to be determined to lower the highest temperature of the fin to the largest extent. The piezoelectric fan is initially placed in four different positions; the LMM is then utilized to estimate the optimal location of fan to increase the thermal performance of piezoelectric fan, i.e. to lower the highest temperature of fin.
In chapter four, the experiments were conducted to measure the fin temperatures using thermal camera when fan is placed at either initial or optimal position. Then the temperature distributions of fin obtained from both experimental and numerical are compared to examine the validity of our numerical solutions.
In chapter five, the B-spline control points are used to generate the shape of fan blade, and the objective is to estimate the optimal position as well as optimal fan blade to lower the highest temperature of the fin to the largest extent with the constraint of a fixed blade area. Results show that optimal fan position is the key factor to lower the fin temperature; blade shape plays only an insignificant role in this optimization problem, but still has an improvement to some extent.

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