本論文以文獻[18]為研究基礎，利用商業套裝軟體CFD-ACE+建立散熱鰭片模型，並透過拉凡格式法(Levenberg-Marquardt Method)最佳化散熱鰭片之外型參數，期望在不改變鰭片體積的狀況下，獲得最小的散熱鰭片底板平均溫度與環境溫度之溫差。
本研究以文獻[18]Design#3-1為設計基礎並將其延伸，探討四種不同外形設計，並使用使用反算設計問題預測最佳鰭片外型參數。案例一為各圓柱的直徑、穿孔直徑以及高度都相同，每一單根圓柱的體積皆相同，預測穿孔直徑，而圓柱的直徑以及高度由公式推算得知；案例二為鰭片穿孔直徑隨鰭片列數而改變，每一列單根圓柱的體積皆相同，預測各列的穿孔直徑，而各列圓柱的直徑以及高度由公式推算得知；案例三為鰭片穿孔直徑隨鰭片行數而改變，每一行單根圓柱的體積皆相同，預測各行穿孔直徑，而各行圓柱的直徑以及高度由公式推算得知；案例四為鰭片穿孔直徑隨穿孔位置改變，每一單根圓柱的體積皆相同，預測各穿孔位置的直徑，而圓柱的直徑以及高度由公式推算得知。以上案例設計目標皆為獲得最小的底板平均溫度與環境溫度之溫差，計算出最佳散熱效果的鰭片穿孔直徑以及柱體形狀。
結果顯示，散熱模組的溫差在最佳化之後確實能夠降低，最後委託工廠製造本散熱模組並實際進行實驗，利用紅外線熱像儀進行溫度量測，並且與CFD-ACE+ 模擬計算的鰭片表面溫度進行驗證，證明了模擬與實際的結果非常相近。

A three-dimensional inverse design problem is examined in this thesis using a general purpose commercial package (CFD-ACE+) and the Levenberg-Marquardt Method (LMM) to estimate the optimum perforation diameters and shape for perforated pin fins with different design variables.
Based on the literature [18], this study consists of four cases. The objective of this thesis is to find the best shape design with a fixed volume condition for minimizing the temperature difference between base plate averaged temperature and ambient temperature, ΔT. Each case has three shape parameters, the perforation diameter, the pin diameter, and the pin height in the optimization design. The numerical simulation results show that the temperature difference between base and the environment, ΔT, of the original design heat sink module can be further reduced in the optimum heat sink modules by considering pin height and pin diameter as the design variables.
Finally, the experiments are performed to show the validity of the present design results and the temperature distributions are very similar between the experimental and numerical data. Results show that the Levenberg-Marquardt Method (LMM) can help us to find the optimum heat sink design for the best heat dissipation efficiently.

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