計算流體力學模擬流率與濕潤性對徑向多孔介質指形流之影響

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姓名

吳東育(Tung-Yu Wu) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

計算流體力學模擬流率與濕潤性對徑向多孔介質指形流之影響
(Computational Fluid Dynamic Simulation of Influence of Suction and Wettability on Viscous Fingering in Radial Porous Media)

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摘要(中)

兩黏度不同的不互溶流體在多孔介質中，若以低黏度流體驅替較高黏度流體，由於兩流體之間的黏度差異、表面張力與濕潤性等影響下，導致流動介面不穩定，這種現象稱之為指形流。根據前人研究，在Hele-Shaw cell中以低毛細數下進行時變流率吸出能具有抑制的效果，本文確認這一方法是否同樣有助於提升具亂數分布顆粒的徑向多孔介質之驅替效果。研究結果顯示Hele-Shaw cell中，低毛細數下，時變流率能有效抑制指形的產生，其中排移流動的驅替效果優於浸潤流動。多孔介質中受到孔隙間毛細壓力之影響，排移流動傾向流往孔隙較大處，浸潤流動傾向流往孔隙較小處，且只有浸潤流動在低流率下才有些許的抑制效果，但兩者皆受到孔隙之影響使線性流率無明顯抑制效果。

摘要(英)

When low-viscosity fluids displace higher-viscosity fluids, it causes the flow instability of the two-phase interface. This phenomenon is called viscous finger. According to previous studies, time-dependent suction flow rate can inhibit the viscous finger at a low capillary number in the Hele-Shaw cell. This study was to confirm whether this method is equally applicable to porous media. We perform the simulation of radial Hele-Shaw cell to analyze the influence of wettability.
The results regarding the Hele-Shaw cell show the linear suction flow rate can indeed suppress finger at low capillary number, and drainage flow performs better than imbibition flow at maintaining the stability of the interface. Regarding porous media flow, little it can suppress finger that we use the linear suction flow rate. Under the influence of capillary pressure for differences pore sizes, drainage flow tends to flow to the larger pores and the imbibition flow tends to flow to the smaller pores. Because the wetting fluid can surround the particles by wetting the particles, imbibition flow has a larger fingering width, and display better displacement rates than drainage flow.

關鍵字(中)

★ 指形流
★ 多孔介質
★ 毛細數
★ 濕潤性
★ 時變流率
★ Hele-Shaw cell

關鍵字(英)

★ finger flow
★ Hele-Shaw cell
★ porous media
★ capillary number
★ wettability
★ time-dependent flow rate

論文目次

目錄
中文摘要 i
Abstract ii
符號說明 iii
英文字母 iii
希臘字母 iv
上下標 iv
目錄 v
圖目錄 viii
表目錄 xi
第一章緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 研究目的 5
第二章數學模型 11
2.1 問題描述 11
2.1.1 Hele-Shaw cell模型 11
2.1.2 多孔介質模型 11
2.1.3 常數流率與線性流率 12
2.2 統御方程式 13
2.2.1 質量守恆方程式 13
2.2.2 動量守恆方程式 13
2.2.3 體積分率方程式 14
2.3 VOF(Volume of Fluid)模型 14
2.4 CSF(the Continuum Surface Force)模型 15
2.5 流體性質與基本假設 16
2.6 邊界條件 17
2.7 數值方法 18
2.7.1. 模擬設備 18
2.7.2. 收斂準則 18
2.7.3. 網格測試 19
第三章 Hele-Shaw cell 25
3.1 模擬條件 25
3.2 濕潤性 26
3.2.1. 排移流動之模擬結果 27
3.2.2. 浸潤流動之模擬結果 28
3.3 改變表面張力之模擬結果 29
3.4 綜合比較 29
3.4.1. 平均殘留半徑與偏差 29
3.4.2. 壓力 31
3.4.3. 功率 33
第四章多孔介質 53
4.1 毛細數 53
4.1.1排移流動 53
4.1.2浸潤流動 54
4.1.3綜合比較 56
4.2 改變表面張力之模擬結果 56
4.2.1排移流動 57
4.2.2浸潤流動 58
4.2.3綜合比較 58
4.3 完全沾濕介質 59
4.4 吸出與注入之異同 60
第五章結論與未來展望 77
5.1 結論 77
5.2 未來展望 79
參考文獻 80

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指導教授

鍾志昂(Chih-Ang Chung)

審核日期

2019-8-22

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