多孔質熱源於封閉區間兩側散熱之自然對流

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姓名

孟慶強(Qing-Qian Mon) 查詢紙本館藏

畢業系所

化學工程與材料工程學系

論文名稱

多孔質熱源於封閉區間兩側散熱之自然對流

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摘要(中)

本論文所探討的系統為一個等分為三層的矩形封閉區間，於上下兩層中填入發熱多孔質，而中間層及多孔質的間隙中填滿牛頓流體，在系統中的熱量僅能由側面散出的情況下，探討其自然對流的現象。多孔質區的流動是採用布瑞克曼-佛許海默-達西模式(Brinkman-Forchheimer-Darcy Model)。
本研究在數值方法上是以有限體積法來展開統制方程式，再以牛頓法配合虛擬弧長法，對系統的物理參數之連續變化進行分析以求得數值解。如此可瞭解系統的流場與溫度場以及重要物理量在選定的參數範圍內隨著參數值之增減而變化的情形。
由數值運算的結果可發現：傾斜角改變對於系統納賽數之影響程度，與系統中的雷立數有很大的關係，而雷立數的增加對於納賽數的增加亦有絕對的正效果。在一般情況下，納賽數與流動強度比皆會隨著長寬比的增加而降低。而達西數則與納賽數呈正比，與流動強度比呈反比。

關鍵字(中)

★ 自然對流
★ 多孔質

關鍵字(英)

★ natural convection
★ porous medium

論文目次

摘要……………………………………….……….….………Ⅰ
誌謝……………………………………….……….….………Ⅱ
目錄………………………………………………...…………Ⅲ
圖目錄…………………………………….……….….………Ⅴ
符號說明………………………………………...……………ⅩⅠ
第一章緒論……………….…..……………….….……..…..1
1.1 多孔質中的流動模式…………..……...……...…..1
1.2 相關研究之文獻回顧………………...…..…..…...2
1.3 研究動機及目的…………………………...……...4
1.4 本論文之架構…………………………..…..…..…5
第二章系統描述與理論分析……..…………….…………..6
2.1 系統描述……………………..……..…..…….…...6
2.2 基本假設…………………………….…………….8
2.3 系統方程式及邊界條件……..………..….……….9
2.4 兩組方程式的合併與減化…..………….…….....11
2.5 無因次化……………………………………...….13
2.6 重要物理量………………..………….……...…..17
2.7 系統參數值…………………...……………..…...18
第三章數值方法……………...……..…….…..……...……19
3.1 離散方法…………………..……….……....…….19
3.2 牛頓法與虛擬弧長法……..…………….……….21
3.3 格點分佈與測試…………..……………....…......24
第四章結果與討論…………………..……..…..……..…...27
4.1 雷立數(Ra)的影響…………..…..…..……...……27
4.2 傾斜角(φ)的影響…………….…….…...……….31
4.3 長寬比(A)的影響……………………...….……...36
4.4 達西數(Da)的影響…………..……......………….38
第五章結論與展望…………………..……..…….……....100
5.1 綜合結論…………………..……….…..…...…..100
5.2 未來展望…………………………………..……101
參考文獻……………………………..…….……………......102

參考文獻

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指導教授

林孝宗(Shaw-Chong Lin)

審核日期

2000-7-12

推文