本文主要利用凝固融化模型(solidification and melting model)模擬金屬粉末相變過程中的溫度變化與熱傳行為，並進行分析。文內針對錫液滴落下之凝固模型、以及雷射燒熔模型兩項算例進行研究。錫液滴之算例之計算架構是由實驗量測與其他文獻的數值結果所組成，而本文模擬與實驗及文獻結果相去不遠，在定性上極為接近的趨勢。表面張力亦於液滴算例模擬中扮演舉足輕重的角色。後者雷射燒熔模型則是參考工研院提供的實驗設定以及其三維列印設備。此模擬討論金屬粉末被選擇性雷射加熱而經歷了燒熔過程，並討論了數值上與實驗上的結果差異，特別是數值結果中之高溫的不合理升溫現象卻無從於實驗中觀測出。最後，迄今的研究將被利用來改善三維列印數值模擬相關。

The purpose of this research is to analyze the temperature distribution and the heat transfer behavior of the metal powder during the solidification and melting process. In this paper, numerical simulations for solidification droplet and powder melting by selective laser are studied. From the former simulation, the current computation frameworks are compared with the corresponding experimental measurements and other numerical results. Our simulations agree well with results of these literatures. The surface tension plays an important role for the droplet during solidification. The latter simulation follows the experimental setups of the three-dimensional printing facility of Industrial Technology Research Institute. The metal powder is heated by the selective laser to experience melting and solidification process. The discrepancies between numerical and experimental results are discussed, especially for the extreme high temperature rise of the numerical result that is not observed in the experiment observations. The current study can be utilized to improve the numerical simulation of the three-dimensional printing in the future.

目錄
中山大學研究生學位論文審定書 i
誌謝 ii
中文摘要 iii
Abstract iv
目錄 v
圖目錄 vii
表目錄 viii
符號說明 ix

第一章 緒論 1
1.1 前言 1
1.1.1 積層製造之背景相關 1
1.1.2 積層製造之雷射燒熔 2
1.1.3 研究目的 2
1.2文獻回顧 3
1.2.1燒熔實驗之觀察 4
1.2.2數值模擬之相關研究 4
第二章 研究方法 7
2.1 數學模型 7
2.2 多相流模型 9
2.3 固化模型 11
2.4 計算區域與邊界條件設定 14
2.4.1 高溫錫液滴降溫模型 14
2.4.2 鈦合金粉末融化模型 17
第三章 結果與討論 21
3.1 高溫錫液滴降溫模型 21
3.1.1 數值結果與論文比對 21
3.1.2 結果討論與分析 22
3.1.3 研究遭遇之困難與討論 27
3.2 鈦合金粉末融化模型 27
3.2.1 數值成果簡述 27
3.1.2 結果討論與分析 28
3.1.3 研究遭遇之困難與討論 32
第四章 結論與建議 37
參考文獻 38

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