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研究生: 粘蒨宜
Nien, Chien-Yi
論文名稱: 具有PCM之垂直平板上之三維暫態自然對流熱傳特徵預測
Prediction of 3D Transient Natural Convection Heat Transfer Characteristics on a Vertical Flat Plate with PCM
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: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 108
中文關鍵詞: 暫態逆向CFD自然對流垂直平板邊界層
外文關鍵詞: Transient inverse CFD, Natural convection, Vertical plate, Boundary layer
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  • 本研究以具有聚丙烯材料配置之複合垂直平板模擬燃燒室外殼,探討其受內部熱源加熱後之暫態自然對流熱傳特性。研究方法結合實驗溫度量測、三維計算流體力學模擬與逆向分析,並利用最小平方法反推加熱過程中之有效熱源。數值模型以 ANSYS Fluent 建立,包含加熱片、聚丙烯、S45C 鋼材、陶瓷纖維板及外部空氣計算域。流動模型之選定則以均方根誤差、熱傳係數與最大速度作為判斷依據,比較不同模型於暫態自然對流過程中之適用性。
    結果顯示,暫態加熱過程中之外部流場可分為層流區、過渡區及紊流區。加熱初期以Laminar模型較適用,過渡階段則以ZEM模型較能描述流場特性;當流場逐漸發展至後期時,RNG k-ε模型與熱傳及流速估算結果較為一致。此外,穩態分析結果顯示,垂直平板沿高度方向會呈現不同局部流場型態,且速度邊界層與熱邊界層厚度皆隨高度增加而改變。

    This study investigates transient natural convection heat transfer from a composite vertical plate containing a polypropylene layer and subjected to an internal heat source. Experimental temperature measurements, three-dimensional computational fluid dynamics simulations, and an inverse analysis based on the least squares method are combined to estimate the effective heat generation rate and predict thermal and flow quantities that are difficult to measure directly. Four flow models - laminar, zero-equation (ZEM), standard k-ε, and RNG k-ε - are assessed using the root mean square error, heat transfer coefficient, and maximum velocity. The laminar model is appropriate before 400 s, ZEM is selected for the transitional period from 800 to 1200 s, and RNG k-ε provides the most consistent results after 2000 s and at steady state. A comparison between transient Rayleigh numbers and steady local Rayleigh numbers indicates laminar, transitional, and turbulent-development regions along the lower, middle, and upper portions of the plate, respectively. Both the thermal and velocity boundary layers grow with height, while the thermal boundary layer remains thicker for air with Pr ≈ 0.7. Piecewise height-corrected correlations are proposed for their thickness ratio.

    摘要 I Extended Abstract II 致謝 IX 目錄 X 表目錄 XIII 圖目錄 XIV 符號說明 XV 1 第一章 緒論 1 1-1 研究背景 1 1-2 文獻回顧 1 1-3 研究目的與方法 4 1-4 本文架構 5 2 第二章 數值模擬及逆向方法 8 2-1 計算流體力學簡介 8 2-2 基本假設 8 2-3 流場控制方程式與流動模型 9 2-3-1 雷諾平均方程式(RANS) 10 2-3-2 流場統御方程式 11 2-4 逆向方法 17 2-4-1 最小平方法 17 2-4-2 均方根誤差 19 2-5 輻射模型 20 3 第三章 實驗設計與方法 21 3-1 實驗設計 21 3-2 實驗材料與材料性質 25 3-3 溫度量測位置 26 3-4 實驗設備 29 3-4-1 溫度量測設備 29 3-4-2 電源與加熱系統 29 3-5 實驗流程 30 3-5-1 熱電偶校正 30 3-5-2 實驗模型架設 31 3-5-3 實驗與數據紀錄 31 3-6 實驗量測結果 32 4 第四章 數值模擬模型建立與驗證 33 4-1 簡介 33 4-2 模型建構 33 4-3 網格建構 35 4-3-1 網格品質分析 35 4-3-2 網格獨立性分析 37 4-3-3 時間步長獨立性分析 40 4-4 邊界條件設定 41 4-5 初始條件設定 42 4-6 數值方法與求解設定 43 4-6-1 求解器與基本設定 43 4-6-2 流動模型與材料性質設定 43 4-6-3 離散格式與壓力速度耦合設定 45 4-6-4 收斂判定與計算條件 45 5 第五章 結果與討論 46 5-1 流動模型選定 46 5-1-1 判定方法 46 5-1-2 熱傳與流動經驗公式 46 5-1-3 穩態模型選定 48 5-1-4 暫態模型選定 52 5-2 模擬結果分析 62 5-2-1 各時段溫度與速度分布 63 5-2-2 PP兩側界面熱傳量隨時間之變化 70 5-2-3 熱傳係數隨時間之變化 72 5-2-4 雷利數與Nusselt數之變化 73 5-2-5 最大速度隨時間之變化 75 5-2-6 不同高度位置之速度與溫度分布 76 5-2-7 邊界層厚度與局部流場型態 78 6 第六章 結論 84 6-1 結論 84 6-2 未來展望與建議 85 7 第七章 參考文獻 87

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