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研究生: 許竣曄
Hsu, Chun-Yeh
論文名稱: 垂直圓柱上具有垂直鰭片置放於開口空腔內之自然對流熱傳預測
Prediction of Natural Convection Heat Transfer for a Vertical Cylinder with Vertical Fins in an Open Cavity
指導教授: 陳寒濤
Chen, Han-Taw
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2025
畢業學年度: 113
語文別: 中文
論文頁數: 136
中文關鍵詞: 計算流體力學自然對流逆向方法鰭片散熱
外文關鍵詞: Computational Fluid Dynamics (CFD), Natural convection, Inverse method, Fin Heat Dissipation
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  • 本研究針對自然對流下,圓柱熱源周圍佈置平板矩形鰭片之散熱效能進行深入探討,使用三維逆向計算流體力學方法結合最小平方法及多點實驗溫度數據來預測整體系統與單一鰭片之熱傳特性。為因應小型電子設備在受限空間中之自然對流散熱挑戰,透過CFD數值模擬與實驗數據比較,分析不同幾何變因對熱傳效益的影響。
    本文採用RANS法流動模型與逆向方法,對零方程式模型、Standard k -ε流動模型與RNG k -ε模型的測試發現,零方程式模型不論是在上開口邊界或是煙囪式邊界,皆具有較小的均方根誤差值,分別為0.79K與1.46K,且鰭片平均熱對流係數預測值也最接近參考數據,因此零方程式模型為最適用本文的模型。
    研究中考量兩種開口邊界(上開口與煙囪式),配合不同鰭片數量與鰭片高度,共24組變因進行模擬。結果顯示,鰭片熱傳效率受鰭片高度與鰭片數量顯著影響,最高與最低鰭片效率差異超過41%;系統總熱阻在鰭片高度增加時有明顯下降趨勢,最大值為最小值的近三倍。此外,根據模擬結果與實驗數據比對結果,進一步提出修正型經驗公式,以提升自然對流鰭片式散熱設計之預測準確性與實用性。最後,本文總結各項變因之影響並提出未來研究之建議與展望。

    This study investigates the heat dissipation performance of flat rectangular fins arranged around a cylindrical heat source under natural convection. A three-dimensional inverse computational fluid dynamics (CFD) method, combined with the least squares method (LSM) and multi-point experimental temperature data, is used to predict the heat transfer characteristics of both the overall system and individual fins. To address cooling challenges in compact electronic devices, CFD simulations and experimental results are compared to evaluate the effects of fin height, fin number, and two boundary conditions (top-open and chimney-type), resulting in 24 cases. The results show that the zero-equation model yields the smallest root mean square errors (0.79 K and 1.46 K) and predicts fin average heat convection coefficients closest to reference data, making it the most suitable model. Increasing fin height significantly reduces total thermal resistance—by up to a factor of three between the maximum and minimum values—while fin efficiency differences exceed 41%. A revised empirical correlation is proposed to enhance prediction accuracy and practical applicability in natural convection finned heat sink design.

    摘要 i Extend Abstract ii 致謝 vi 目錄 vii 表目錄 x 圖目錄 xii 符號 xv 第一章 緒論 1 1-1 研究背景 1 1-2 文獻回顧 4 1-3 研究目的與方法9 1-4 本文架構 11 第二章 計算流體力學及逆向數值方法13 2-1 計算流體力學介紹 13 2-2 基本假設 14 2-3 紊流模擬及模型14 2-3-1 RANS 14 2-3-2 布氏近似19 2-3-3 零方程式流動模型19 2-3-4 Standard k - ε 流動模型 20 2-3-5 RNG k - ε 流動模型 23 2-4 逆向方法 26 2-4-1 最小平方法 27 2-4-2 均方根誤差 28 第三章 實驗方法 30 3-1 實驗介紹 30 3-2 實驗設備 31 3-2-1 矩形外殼31 3-2-2 實驗試件32 3-2-3 絕熱板 32 3-2-4 溫度擷取系統33 3-3 實驗變因 34 3-4 實驗步驟 35 第四章 CFD軟體模擬分析與設定42 4-1 模擬軟體介紹 42 4-1-1 前處理器43 4-1-2 求解器 43 4-1-3 後處理器44 4-2 三維幾何模型 44 4-3 網格 45 4-3-1 網格品質46 4-3-2 網格獨立性 50 4-3-3 上開口 51 4-3-4 煙囪式 55 4-4 求解方法 59 4-4-1 邊界條件設定59 4-4-2 求解設定60 第五章 結果與討論64 5-1 流動模型選定 64 5-1-1 上開口 65 5-1-2 煙囪式 65 5-2 各變因對熱傳之影響68 5-2-1 設定與定義 68 5-2-2 對應實驗模擬之結果 68 5-3 各變因對熱阻之影響76 5-3-1 設定與定義 76 5-3-2 對應實驗模擬之熱阻分析 76 5-4 溫度場及流場之分析83 5-4-1 鰭片數量對溫度場、流場之影響83 5-4-2 鰭片高度對溫度場、流場之影響85 5-4-3 不同開口邊界對溫度場、流場之影響86 5-5 與相關文獻熱傳之比較與修正100 第六章 結論與未來展望108 6-1 結論 108 6-2 未來展望與建議110 參考文獻112 附錄117

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