摘 要
以數值方法去探討傾斜的圍場內,關於熱毛細力在靠近角落區域的穩態對流現象。介紹固定的轉換式,在液態裡解質量、動量、能量方程式,而在固態區解能量方程式,去預測自由表面遭受入射能量影響所造成的形狀,結果提供了固體液體的介面所引起的波紋、邊緣凹陷、氣動等等缺陷分析,有了更進一步的看法。

Abstract
The steady thermocapillary motion in shallow enclosures is studied. Two different configurations, imposed heat flux and differentially heated side walls, are considered. A numerical simulation of the problem in the imposed heat flux case is made. The Pressure Correction Method is used to treat the pressure velocity coupling, in particular, the SIMPLER approximation. The discretization is made using central differences along with an appropriate non-uniform grid.

目 次
謝誌…………………………………………………………………a
摘要………………………………………………………………..b
目錄…………………………………………………………………c
圖目錄………………………………………………………………e
第一章 序論
1.1 研究動機及目的……………………………………….. 1
1.2 文獻回顧……………………………………………….. 2
第二章 方程式及推導
2.1 Nomenclature…………………………………………. 5
2.2 方程式………………………………………………… 7
2.2-1 統御方程式…………………………………………... 9
2.2-2 無因次化……………………………………………... 9
2.2-3 有限差分法（final difference）……………………...10
2.3 邊界條件……………………………………………...22
第三章 實驗目的、設備及方法…………………………………25
第四章 結果與討論………………………………………………27
第五章 結論………………………………………………………32
參考文獻……………………………………………………………33

圖…………………………………………………………………. 36
附錄一
1. 座標轉換…………………………………………………. 43
2. 傅利葉半幅展開………………………………………… 44
3. 統御方程式之無因次化過程…………………………… 45
4. Boundary conditions的無因次化過程…………………. 47

圖.1 物理domain ……………………………………………… 36
圖.2 計算domain ……………………………………………… 37
圖.3 計算domain網格圖 ……………………………………… 38
圖.4 物理domain網格圖 ……………………………………… 39
圖.5 本研究與RIVAS和OATRACH數值計算
結果相比對(a)表面速度(b)表面溫度 ………………… 40
圖.6 Ma=250 Pr=0.01 Ca=4 x10 H=0.2 流場分布圖 … 41
圖.7 Ma=-250 Pr=0.01 Ca=-4 x10 H=0.02 流場分布圖 42

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