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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 藍崇文(Chung-Wen Lan) | |
| dc.contributor.author | Shih-Han Liu | en |
| dc.contributor.author | 劉詩瀚 | zh_TW |
| dc.date.accessioned | 2021-06-13T04:28:49Z | - |
| dc.date.available | 2011-08-16 | |
| dc.date.copyright | 2011-08-16 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-07-27 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33196 | - |
| dc.description.abstract | 本研究中，我們使用相場模式(Phase field modeling)來解決晶體固化問題。在thin-interface model的架構底下，我們提出了實際上可適用在多維空間的方法來處理針對界面過冷度或界面長速相依的非線性動力學係數。在一維空間中，利用穩態長速作驗證；而二維空間中與理論界面條件相比都獲得一致性的結果。
非線性動力學主要發生在側邊生長機制，其中勢必伴隨著奇異面發展。因此有關動力學控制平衡形狀的研究，本文也提出高非均向動力學模型並用幾何模式等理論作完整的討論。 最後，結合奇異面生長與非線性動力學得到了會依過冷度不同而改變的晶體型態，其中面與面在高、低過冷的競爭觀念與實驗相符，這也是在相場模式研究中首次發表的結果。 | zh_TW |
| dc.description.abstract | The phase field model has emerged as a powerful tool for the simulation of crystal growth. With the thin-interface approximation, the interface thickness could be greatly relaxed to the length scale of microstructures. So far, the model is used only for linear kinetics. However, nonlinear kinetics, where the kinetic coefficient is a function of temperature or velocity, is often encountered in crystal growth, particularly for faceted growth. In this paper, we propose numerical methods to the thin-interface phase field model for nonlinear kinetics. Also the kinetic-controlled shapes are discussed with geometric model. Besides the benchmarking with the available solutions, an example on a facet growth that develops into different morphologies with different undercoolings is simulated for the first time. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T04:28:49Z (GMT). No. of bitstreams: 1 ntu-100-R98524066-1.pdf: 1758579 bytes, checksum: 7a1456b70bcb58bb6c42888eec5540e6 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 中文摘要..............................................Ⅰ
英文摘要..............................................Ⅱ 目錄..................................................Ⅲ 符號說明..............................................Ⅴ 表目錄................................................Ⅷ 圖目錄................................................Ⅸ 第一章 緒論...........................................1 1.1 研究動機.......................................1 1.2 文獻回顧.......................................3 1.2.1 晶體固化理論...................3 1.2.2 樹枝狀晶體相關理論.............8 1.2.3 數值方法......................10 第二章 物理模式與數學方法............................14 2.1 固化問題的物理模型....................14 2.2 相場模式的介紹........................15 2.3 非線性動力學的界面條件................18 2.4 非線性動力學的thin-interface model....19 2.5 無因次化的主導方程式..................20 2.6 數值方法-有限體積法...................21 2.7 數值方法-適應性網格結構...............24 2.8 程式流程介紹..................................30 第三章 結果與討論....................................35 3.1 方法描述..............................35 3.2 一維過冷生長驗證......................38 3.3 一維semi-infinite驗證.................41 3.4 二維界面條件驗證......................44 3.5 動力學控制平衡形狀....................46 3.6 奇異面競爭與非線性動力學..............56 第四章 結論..........................................59 參考文獻..............................................61 | |
| dc.language.iso | zh-TW | |
| dc.subject | 固化程序 | zh_TW |
| dc.subject | 相場模式 | zh_TW |
| dc.subject | 非線性動力學 | zh_TW |
| dc.subject | Phase field modeling | en |
| dc.subject | solidification | en |
| dc.subject | nonlinear kinetics | en |
| dc.title | 非線性固化動力學相場模式在晶體生長之研究 | zh_TW |
| dc.title | Phase Field Modeling in Crystal Growth with Nonlinear Kinetic Undercooling | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 周明奇(Ming-Chi,Chou),張正陽(Jeng-Yang,Chang),高振宏(Chen-Hung,Kao) | |
| dc.subject.keyword | 相場模式,固化程序,非線性動力學, | zh_TW |
| dc.subject.keyword | Phase field modeling,solidification,nonlinear kinetics, | en |
| dc.relation.page | 65 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-07-27 | |
| 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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