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研究生: 魏嘉宏
Wei, Jia-Hong
論文名稱: 具加熱段水平渠道內流場與共軛熱傳之數值模擬
Numerical Simulation of Fluid Flow and Conjugate Heat Transfer for in a Horizontal Channel with a Heat Section
指導教授: 楊玉姿
Yang, Yue-Tzu
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: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 98
中文關鍵詞: 共軛熱傳紊流數值計算
外文關鍵詞: Conjugate heat transfer, Turbulent flow, Numerical calculation
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  • 本文是針對具加熱段水平渠道之共軛熱傳做詳細的數值研究。本文紊流統御方程式乃是以控制體積法為基礎,乃是以控制體積為基礎,配合有限差分法及冪次法則來離散成差分方程式。對於紊流的結構則是以 紊流模式配合牆函數來描述。並以SIMPLE運算法則求解壓力-速度結合的問題。
    本文研究的參數為層流與紊流雷諾數(Re=9.8~500、 Re=3000~10000)、加熱段溫度(800K、900K、1000K)或等熱通量( =12.7 、38.1 、63.5 ),加熱段長度(0.1651m、0.2032m、0.3048m)。
    在數值研究方面,氣體流場的溫度分佈和熱傳現象與Chiu et al.(2001)的實驗結果顯示相當吻合。共軛熱傳對於通道內加熱段表面、渠道壁面以及氣相的溫度分佈與均勻性有顯著的影響,因此影響了熱傳率。本文數值預測可以提供對於共軛熱傳效應之物理特性與數值共軛熱傳模式的適用性。

    The detailed numerical study is carried out to investigate conjugate heat transfer in horizontal channels with a heated section. The turbulent-governing equations are solved by a Control-Volume base on finite-difference method with power-law scheme, and the well-known turbulence model and its associate wall function to describe the turbulent structure. The SIMPLE algorithm is adopted to solve the pressure-velocity coupling.
    The parameters studied include laminar and turbulent Reynolds number (Re=9.5~500, Re=3000~10000), temperature of heated section
    ( =800K, 900K, and 1000K) or constant heat flux ( =12.7 , 38.1 , 63.5 ), length of heated section ( =0.1651m, 0.2032m, 0.3048m).
    In the numerical study, the gas flow field temperature distribution and heat transfer are examined with the experimental results of Chiu et al. (2001) and show good agreement. Conjugate heat transfer is demonstrated to significantly affect the temperature distribution and uniformity at the heated section’s surface, channel wall and the gas phase, thus impacting the rate of heat transfer. Numerical prediction obtained from this study will provide physical insight into conjugate heat transfer effects and facilitates validation of numerical conjugate heat transfer models.

    目錄 中文摘要 ....................................................I 英文摘要....................................................II 誌謝 ......................................................III 目錄 .......................................................IV 表目錄 .....................................................VI 圖目錄 ....................................................VII 符號說明 ...................................................XI 第一章 緒論.................................................1 1-1研究動機及背景 ...........................................1 1-2文獻回顧 .................................................2 1-3本文探討之主題及方法......................................4 第二章 理論分析 ............................................6 2-1 空間流場解析 ............................................6 2-2 紊流模式.................................................9 2-2-1 雙方程式模式...........................................9 2-2-2牆函數.................................................14 2-3 邊界條件 ...............................................17 2-4 局部Nusselt number和無因次化溫度 的計算.................20 2-5流線的運算...............................................20 第三章 數值方法 ............................................23 3-1 概述....................................................23 3-2 格點位置的配置 .........................................23 3-3 之差分方程式 ..........................................24 3-4 u、v動量方程式之差分方程式.............................29 3-4-1 壓力修正方程式........................................30 3-5 收斂條件................................................32 3-6 差分方程式的解法 .......................................34 3-6-1 數值程序 .............................................35 3-6-2 電腦運算時間 .........................................36 第四章 結果討論 ............................................39 4-1 計算空間與格點獨立測試..................................40 4-2 流場特性分析 ...........................................41 4-2-1 流線分佈 .............................................41 4-2-2 紊流動能分佈..........................................42 4-3 溫度與熱傳分析 .........................................43 4-3-1 溫度分佈..............................................43 4-3-2 無因次化溫度分佈 .....................................44 4-3-3 Nusselt number的計算 .................................45 第五章 結論與建議 ..........................................94 5-1 結論 ...................................................94 5-2 未來研究方向之建議 .....................................95 參考文獻 ...................................................96

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