本論文以柱狀板式鰭片(Plate-Pin-Fin Heat Sink, PPFHS)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，期望在控制鰭片體積的狀況下，獲得最大的熱性能係數(Thermal performance factor)。
本研究以柱狀板式鰭片(PPFHS)為設計基礎加以延伸，並設計具柱穿孔及分流板之板柱狀式散熱鰭片(Plate-Pin-Fin Heat Sink with Perforation and Splitter, PPFHS-PS)，使用反算設計問題預測最佳鰭片外型參數，探討三種不同外形設計。設計一 (PPFHS-PS-Design No.1)其各圓柱的直徑、穿孔直徑、圓柱高度、分流板厚度以及分流板高度都相同，每一單根圓柱與每一片分流板的體積總和皆相同，預測穿孔直徑及分流板長度，且圓柱的直徑可由公式推算得知；設計二 (PPFHS-PS-Design No.2)其鰭片穿孔直徑隨鰭片列數而改變，在控制體積下，預測各列的穿孔直徑及分流板長度，且各列圓柱的直徑由公式推算得知；設計三 (PPFHS-PS-Design No.3)其鰭片穿孔直徑隨穿孔位置改變，在控制體積下，預測各穿孔位置的直徑與分流板長度，而圓柱的直徑由公式推算得知。以上設計案例在計算出最佳散熱效果的鰭片穿孔直徑、柱體形狀以及分流板長度，皆可以獲得最大的熱性能係數(Thermal performance factor)。
結果顯示，散熱模組的熱性能係數在最佳化之後確實能夠提高，其中PPFHS-PS-Design No.2具有最佳的熱性能係數η。在入流速度5.0 m/s的情況下，分流板式柱板狀散熱鰭片(Plate-Pin-Fin Heat Sink with Splitters , PPFHS-S)、穿孔式柱板狀散熱鰭片(Plate-Pin-Fin Heat Sink with Perforations, PPFHS-P)及PPFHS-PS-Design No.2相較於柱狀板式散熱鰭片(PPFHS)，其熱性能係數η分別提升約4.9 %, 5.2 % and 10.1 %，顯示在經由穿孔及分流板設計後，其熱性能係數有效益加乘的效果。
最後依據設計加工製造三組散熱模組並實際進行實驗，利用紅外線熱像儀及壓差計進行溫度及壓力的量測，並且與CFD-ACE+ 模擬計算的鰭片表面溫度進行驗證，結果顯示模擬與實際的結果非常相近。

The optimal shape of a Plate-Pin-Fin Heat Sink with Perforations and Splitters (PPFHS-PS) is designed in this study using the software package CFD-ACE+ and the Levenberg-Marquardt method (LMM) to determine the maximum thermal performance factor η under a fixed fin volume constraint. In the present work, the implementations of perforations and splitters on a pin fin are examined, and the diameter of the pin, the perforated diameter of the pin and the length of the splitter are considered as the design variables. The hydrothermal performances of a Plate-Pin-Fin Heat Sink (PPFHS), a Plate-Pin-Fin Heat Sink with Perforations (PPFHS-P) and a Plate-Pin-Fin Heat Sink with Splitters (PPFHS-S) are compared. It is found that a great enhancement in the thermal performance factor can be resulted for the PPFHS-PS. The numerical design cases indicated that when considering an inlet velocity equal to 5.0 m/s, the percentage improvements of η for the PPFHS-P, PPFHS-S and design #2 PPFHS-PS are 4.9 %, 5.2 % and 10.1 % higher than that of the original PPFHS. This indicates that the individual contribution of thermal performance factor improvement of the PPFHS-P and PPFHS-S can be added if the perforations and splitters are utilized simultaneously in the PPFHS-PS design. Finally, experimental verifications are conducted on the manufactured PPFHS-P, PPFHS-S and design #2 PPFHS-PS modules, and the measurement results of the temperature distributions and pressure drops indicate that the experimental data matched quite well with the computational data for those heat sinks.

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