傾斜板在多孔質中結合熱傳與質傳之自然對流

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姓名

王麗婷(Li-Ting Wang) 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

傾斜板在多孔質中結合熱傳與質傳之自然對流

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摘要(中)

本論文主要探討傾斜板在多孔質中結合線熱源熱傳與等質通量壁質傳之自然對流系統。首先利用溫度與濃度邊界層之量階分析的結果，定義符合傾斜板自然對流系統的無因次轉換參數和變數。然後將系統的統制方程式轉換成比較容易進行數值解的無因次方程式組。並應用具無條件穩定及高效率的數值方法進行求解。所得的數值結果，可完整描述由垂直板到水平板自然對流的數值結果。
路易士數選取的範圍包括低路易士數(0.3至3.0)與高路易士數(20至200)兩種系統。前者適用於空氣中的微量氣體與一些常見的碳氫化合物；後者適用於稀薄的水溶液。
將所求得的數值解，經由適當轉換後，以更具有明顯物理意義的方式作圖，以顯示此系統的速度、溫度、濃度之分佈情形。此外，重要的物理量(如壁面溫度及薛伍德數)與浮力比參數、傾斜參數以及路易士數之關係，亦可由圖中加以觀察比較。
由圖示的結果可發現，路易士數對質傳的影響比熱傳大。且高路易士數的系統對質傳速率的影響比低路易士數的系統更顯著。

關鍵字(中)

★ 多孔質
★ 自然對流
★ 傾斜板

關鍵字(英)

論文目次

目錄
目錄 Ⅰ
圖目錄 Ⅲ
表目錄 Ⅴ
符號說明 Ⅵ
第一章緒論 1
1.1 研究動機及目的 1
1.2 多孔質的流動方式 1
1.3 多孔質中的熱傳對流系統之文獻回顧 2
1.4 多孔質中結合熱傳與質傳的自然對流之文獻回顧 3
1.5 多孔質中壁煙流之文獻回顧 4
1.6 傾斜板自然對流之文獻回顧 5
1.7 本文研究的方法 6
1.8 本論文之架構 7
第二章理論解析與數值方法 8
2.1 系統描述 8
2.2 基本假設 10
2.3 數學模式 11
2.4 以系統整合方法做無因次變數轉換 14
2.5 無因次統制方程式 18
2.6 幾種特例之無因次統制方程式 20
2.7 重要物理量 22
2.8 數值方法簡介 23
第三章結果與討論 25
3.1 速度分佈 25
3.2 溫度分佈 27
3.3 濃度分佈 29
3.4 壁面溫度分佈 31
3.5 質量傳送係數 33
第四章結論 100
參考文獻 102

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指導教授

林孝宗(Shaw-Chong Lin)

審核日期

2002-6-21

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