本研究使用相位場法模擬氣泡在固液界面間之動態行為。模擬方式使用二維兩相流模組並加入一溫度控制變數區分固相、液相及氣相。制衡方程式為包含相百分比性質之動量、質量、能量以及濃度守恆方程式。計算結果顯示介面效應越大則越容易導致氣泡產生形變。

This study applies the phase-field method to simulate the behavior between bubble and liquid-solid front. Using the two-dimensional two-phase flow module and match up with temperature function to determine the solid, liquid and gas domain. The governing equations for the relative percentage of phases contain momentum, mass, energy and concentration equations. The result shows that the greater effect on the interface will easily influence the shape of bubble .

論文審定書 i
謝誌 ii
中文摘要 iii
Abstract iv
目錄 v
圖目錄 vii
符號說明 viii
下標符號說明 x
第一章 緒論 1
1-1 研究背景與文獻回顧 1
1-2相位場法(PFM)及二相流(Two phase flow) 2
1-3研究內容簡介與架構： 3
第二章 系統模型設定與理論之分析 4
2-1 模組之統御方程式 4
2-1-1相位場法方程式 4
2-1-2質量&動量守恆方程式 6
2-1-3能量方程式 10
2-1-4濃度方程式 11
2-2 模型與邊界設定 12
2-2-1 模型架構 12
2-2-2 網格設置 13
2-2-3 邊界及初始值設定 14
第三章 結果與討論 16
3-1模擬之基本性質 16
3-1-1流體性質 16
3-1-2 delta 函數 17
3-2介面效應之影響 19
3-2-1 介面厚度3×105 19
3-2-2介面厚度1×105 21
3-2-3 結果討論 24
第四章 結論與未來展望 25
參考文獻 26

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