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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 藍崇文(Chung-Wen Lan) | |
| dc.contributor.author | Chang-Chih Chen | en |
| dc.contributor.author | 陳昶志 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:45:16Z | - |
| dc.date.available | 2015-08-10 | |
| dc.date.copyright | 2010-08-10 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-08-06 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45733 | - |
| dc.description.abstract | 在固化的過程中，操作條件決定了不同的材料性質，如果能了解固化過程中的機制與原理，便能幫助我們選擇適當的材料與操作條件，進一步的掌控材料的性質及應用。在本研究中，利用了相場模式法(PFM)概念與有限體積法(FVM)數值方法上的應用，模擬了一初始晶種在過冷液體之固化過程，加上使用本實驗室對二維適應性網格技術應用的成熟性，這類問題可以在一般的個人電腦上進行模擬，吾人更進一步將原先二維的架構延伸至三維，探討在三維空間下的影響，並利用適當的無因次尺度選擇，得到與過冷度無關的無因次長速與半徑，使得在succinonitrile樹枝狀晶體的模擬上，可以任意的針對不同過冷度進行模擬，在和實驗的比較上，從原先2K的過冷延伸至0.2K的過冷，成功的解決之前無法模擬實驗低過冷的問題。
本文對樹枝狀晶體的固化分做三個部分做探討，第一個部分是在無對流情況下的純擴散問題，也就是所謂的樹枝狀晶體，在這部分中主要討論不同過冷度與初始條件的影響，利用適當的尺度選擇，成功地模擬了樹枝狀晶體在實驗的時候，不同過冷度下所觀察到之相似性，亦提出低過冷時的抑制效應透過較大的無因次熱邊界層使得晶體的整體形態出現了差異性，較低的過冷度時，晶體非[100]的生長容易受到[100]生長的抑制，這和高過冷的情況恰好相反。 第二個部分則延續前面的基礎，探討樹枝狀晶體受強制對流之影響，在這部分首先比較強制對流在二維和三維上的差異，並比較不同對流強度、初始條件對樹枝狀晶體固化之影響，在三維的空間中，分支的生長較為容易，隨著過冷度的降低，分支生長的位置亦從側風處的主支移到迎風面的主支上。 第三個部分則是討論樹枝狀晶體受自然對流之影響，在我們的模擬結果中，利用三維適應性的架構，成功的模擬出樹枝狀晶體Peclet數與Grasholf數的1/4次方正比關係，除了和理論比較的一致外，晶體形態在分支的各位置也和實驗的觀察一致，這是之前二維文獻所無法做到的部分，我們更進一步的探討樹枝狀晶體在強制對流與自然對流這二種不同的流動方式下晶體型態與流場的差異，比較重力方向和重力強度的影響。 | zh_TW |
| dc.description.abstract | In the solidification process, the properties of material can be controlled by the operating condition. It is important of understanding the mechanism and principle of solidification for us to choose the satisfied material can operation condition. At this study, the phase field model and finite volume method is used to simulate the solidification of a seed in the overcooling liquid. The problem can be solved by general personal computer with the use of adaptive mesh refinement code developed by our lab.
The solidification of dendrite is divided into three part in this study. The first part is the dendritic growth case without any convection. The dendritic growth is controlled by the initial overcooling and seed condition. The similarity of dendrite at several overcooling is successful to simulate by proper choose of rescaling. The difference caused by dimensionless large thermal boundary layer is also observed in our simulation. The following part is about the dendritic growth under forced convection. The difference of flow effect between 2D and 3D is discussed followed by the effect of flow strength and initial condition. The final part is the dendritic growth under natural convection. The Peclet number at several gravitational strengths and overcooling shows good comparison with classic theory in our simulation. The morphology also has the good agreement with the experiment observation. The difference between forced and natural convection is discussed by morphology and flow field comparison. The strength and orientation of gravity is also discussed in this study. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:45:16Z (GMT). No. of bitstreams: 1 ntu-99-F92524053-1.pdf: 4778452 bytes, checksum: 17699a884fd1a5c596a2a8f2db1ff1e5 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 中文摘要................................I
英文摘要...............................III 目錄.................................IV 符號說明...............................VI 表目錄.................................IX 圖目錄................................X 第一章 緒論...............................1 1.1 研究動機.............................1 1.2 文獻回顧.............................4 1.2.1 樹枝狀晶體的固化理論...................4 1.2.2 數值方法.........................10 第二章 物理模式與數值方法.......................15 2.1 固化問題的物理模式.......................15 2.2 相場模式的介紹.........................20 2.3 無因次化之主導方程式.....................27 2.4 數值方法-有限體積法......................30 2.5 數值方法-適應性網格......................34 2.6 程式流程介紹.........................41 第三章 結果與討論...........................46 3.1 樹枝狀晶體的固化(純擴散)....................47 3.1.1 純擴散-驗證......................48 3.1.2 純擴散-不同過冷度與初始條件的影響............53 3.2 樹枝狀晶體的固化(強制對流)...................62 3.2.1 強制對流-驗證......................62 3.2.2 強制對流-二維與三維之比較................66 3.2.3 強制對流-低過冷下，不同初始條件的影響..........72 3.3 樹枝狀晶體的固化(自然對流)...................77 3.3.1 自然對流-驗證-重力與過冷度之關系.............77 3.3.2 自然對流-重力強度對形態與流場強度之影響........82 3.3.3 自然對流-重力方向的影響與不同對流形態之討論....87 第四章 結論與未來展望.........................97 參考文獻...............................99 | |
| dc.language.iso | zh-TW | |
| dc.subject | 相場模式 | zh_TW |
| dc.subject | 樹枝狀晶體 | zh_TW |
| dc.subject | dendrite | en |
| dc.subject | phase field model | en |
| dc.title | 三維適應性相場模式在樹枝狀晶體生長之研究 | zh_TW |
| dc.title | Three Dimensional Adaptive Phase Field Modeling of Dendritic Growth | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 藍崇文,林祥泰,王大銘,何國川,楊德良,陳志臣 | |
| dc.subject.keyword | 相場模式,樹枝狀晶體, | zh_TW |
| dc.subject.keyword | phase field model,dendrite, | en |
| dc.relation.page | 104 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-08-06 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 化學工程學研究所 | zh_TW |
| 顯示於系所單位： | 化學工程學系 | |
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